NMSE Section 6.1 mentioned, B

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze138.0ms (1.7%)

Memory
23.3MiB live, 156.1MiB allocated; 70ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.5s (19.1%)

Memory
20.5MiB live, 1 525.0MiB allocated; 380ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 916.0ms
ival-mult: 388.0ms (42.3% of total)
ival-div: 375.0ms (40.9% of total)
ival-sub: 80.0ms (8.7% of total)
ival-pi: 52.0ms (5.7% of total)
exact: 9.0ms (1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain194.0ms (2.5%)

Memory
-21.7MiB live, 367.9MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-3(-2.8319351367831444e-213 -3.1363138884392134e+161)(*.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))
62(-1.0324402168868159e-286 -4.130426240856377e+161)0-(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
00-0-(*.f64 a a)
00-0-a
00-0-(/.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) b)
00-0-(/.f64 #s(literal 1 binary64) a)
00-0-b
00-0-(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))n*u300
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue140
(*.f64 b b)overflow57
(*.f64 a a)overflow71
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o80
(*.f64 b b)overflow57
(*.f64 a a)overflow71
(-.f64 (*.f64 b b) (*.f64 a a))overflow114
Confusion
Predicted +Predicted -
+488
-4196
Precision
0.9230769230769231
Recall
0.8571428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+4808
-40196
Precision?
0.9230769230769231
Recall?
0.8571428571428571
Freqs
test
numberfreq
0204
152
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 18.0ms (42.3% of total)
ival-mult: 12.0ms (28.2% of total)
ival-sub: 6.0ms (14.1% of total)
ival-pi: 4.0ms (9.4% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess186.0ms (2.4%)

Memory
20.5MiB live, 293.2MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033109
110895
239895
3176995
4464895
01521
02621
15019
214319
357219
4273919
5503219
0816119
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify169.0ms (2.1%)

Memory
32.4MiB live, 173.0MiB allocated; 17ms collecting garbage
Algorithm
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
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
#s(literal 1 binary64)
(-.f64 (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.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)

localize36.0ms (0.5%)

Memory
8.5MiB live, 55.1MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.8384455222110075
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy3.144516800811441
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy6.660058071111058
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
26.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (39.8% of total)
ival-mult: 6.0ms (34.1% of total)
ival-sub: 3.0ms (17% of total)
ival-pi: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-45.3MiB live, 19.0MiB allocated; 15ms collecting garbage
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
31.0ms
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))))

simplify207.0ms (2.6%)

Memory
25.5MiB live, 209.4MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911145
19051099
235331055
085221011
Stop Event
iter limit
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))

rewrite110.0ms (1.4%)

Memory
-15.3MiB live, 117.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01554
02654
111250
298050
0891250
Stop Event
iter limit
node limit
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)))
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(fma.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(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))))

eval58.0ms (0.7%)

Memory
-1.0MiB live, 99.8MiB allocated; 10ms collecting garbage
Compiler

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

prune17.0ms (0.2%)

Memory
9.2MiB live, 52.6MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New37015385
Fresh000
Picked101
Done000
Total37115386
Accuracy
100.0%
Counts
386 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.2%
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
88.8%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
86.4%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
86.4%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
82.2%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
88.6%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
80.1%
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #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)))
89.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
55.3%
#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))
62.5%
#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))
49.1%
#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))
53.4%
#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))
57.0%
#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)))
60.5%
#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)))
49.0%
#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))))
Compiler

Compiled 828 to 560 computations (32.4% saved)

simplify116.0ms (1.5%)

Memory
3.4MiB live, 182.9MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
052370
082364
1165358
2502358
31889344
47046344
08262344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b 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)
#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 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(*.f64 b b)
b
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
#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))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(*.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) a)
(PI.f64)
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 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)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(+.f64 b a)
a
b
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (-.f64 b a) b) a)
(/.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 (/.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 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (*.f64 b b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(*.f64 b b)
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))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
#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 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) a) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) a) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) a) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(*.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) a)
(PI.f64)
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 (PI.f64) a) (/.f64 (PI.f64) b)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1/2 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (/.f64 (-.f64 b a) b) a)
(/.f64 (-.f64 b a) a)
(-.f64 b a)
b
a
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(*.f64 (+.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 a b)
(+.f64 b a)
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)

localize219.0ms (2.8%)

Memory
-8.5MiB live, 206.0MiB allocated; 151ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.22265625
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
accuracy0.32421875
(/.f64 (PI.f64) (-.f64 b a))
accuracy6.882721688188281
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy0.2890625
(/.f64 (PI.f64) a)
accuracy0.29525375976844204
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
accuracy5.126498562841718
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b)
accuracy26.090510993662278
#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))
accuracy0.01953125
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
accuracy0.44149549575982777
(/.f64 (PI.f64) (*.f64 b b))
accuracy3.0642692902337747
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
accuracy29.547697971452877
#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))))
accuracy0.0
(PI.f64)
accuracy0.6444966324240127
(/.f64 (PI.f64) (*.f64 a a))
accuracy6.775918442427235
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy21.220442675231983
#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)))
accuracy0.01953125
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy0.203125
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.32421875
(/.f64 (PI.f64) (-.f64 b a))
accuracy6.660058071111058
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Samples
181.0ms256×0valid
Compiler

Compiled 332 to 45 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 101.0ms (79.4% of total)
ival-mult: 17.0ms (13.4% of total)
ival-sub: 4.0ms (3.1% of total)
ival-add: 3.0ms (2.4% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series71.0ms (0.9%)

Memory
-7.0MiB live, 95.4MiB allocated; 36ms collecting garbage
Counts
24 → 161
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.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) (*.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 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(/.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) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
(*.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 (PI.f64) (-.f64 b a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 (PI.f64) a)
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* 2 b)
(+ (* 2 a) (* 2 b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(/ 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)
(/ (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))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/ (PI) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* 2 a)
(* a (+ 2 (* 2 (/ b a))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ -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)
(* -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 a)) (* 1/2 (/ 1 b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1 (* a (- (* -2 (/ b 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -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) (/ (* 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 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (PI) (pow b 2))
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(/ (- (/ 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) 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 (/ b a)) 1/2) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* b (+ 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 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(/ (- (* 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)))
(/ (+ (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 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 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)) (* -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
19.0ms
b
@inf
((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (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) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- 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) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a))
18.0ms
a
@inf
((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (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) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- 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) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a))
8.0ms
b
@-inf
((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (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) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- 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) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a))
8.0ms
a
@0
((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (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) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- 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) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a))
7.0ms
b
@0
((* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/ 1 (* 2 (+ a b))) (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (* 2 (+ a b)) (* (* (/ (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) (* b b)) (+ (/ 1/2 a) (/ -1/2 b))) (/ (PI) (* b b)) (PI) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (* (/ (/ (/ (- 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) (- b a)) (- (/ 1 a) (/ 1 b)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) a))

simplify232.0ms (2.9%)

Memory
6.4MiB live, 237.2MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08373820
129953773
084533589
Stop Event
iter limit
node limit
Counts
161 → 161
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* 2 b)
(+ (* 2 a) (* 2 b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(/ 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)
(/ (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))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ a b))) a)
(/ (PI) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* 2 a)
(* a (+ 2 (* 2 (/ b a))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ -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)
(* -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 a)) (* 1/2 (/ 1 b)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -1 (* a (- (* -2 (/ b 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -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) (/ (* 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 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))
(/ (PI) (pow b 2))
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(/ (- (/ 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) 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 (/ b a)) 1/2) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* b (+ 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 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(/ (- (* 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)))
(/ (+ (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 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 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)) (* -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 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) b) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))) a (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a)) a)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b))
(* 1/2 (/ (PI) (pow b 2)))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a)) (pow.f64 b #s(literal 4 binary64))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) b)) (*.f64 b b))) a (neg.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64))) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* 2 a) (* 2 b))
(*.f64 #s(literal 2 binary64) (+.f64 a b))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a)
(* 1/2 (/ (PI) (* (pow 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 (fma.f64 (/.f64 (*.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(*.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(/.f64 (fma.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(*.f64 (*.f64 b (/.f64 (PI.f64) (*.f64 a a))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(/.f64 (fma.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 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)
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(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
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(/.f64 (-.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) (/.f64 (*.f64 (neg.f64 (PI.f64)) a) 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)) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (/.f64 (*.f64 (PI.f64) a) b)))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) 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 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) b))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a) (*.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) (*.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) #s(literal 2 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal -1/2 binary64))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))))
(* -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 (-.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b)) (/.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 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) a (/.f64 (*.f64 a a) b)) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.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 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) b) (PI.f64))) (neg.f64 b))

rewrite215.0ms (2.7%)

Memory
-6.0MiB live, 184.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052294
082288
1300282
22717282
08635282
Stop Event
iter limit
node limit
iter limit
Counts
24 → 630
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.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) (*.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 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (PI.f64) (*.f64 b b))
(PI.f64)
(/.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) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
(*.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 (PI.f64) (-.f64 b a))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 (PI.f64) a)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 b #s(literal 2 binary64))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 b a)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 2 binary64)) (+.f64 b a))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 b #s(literal 2 binary64))) (/.f64 (PI.f64) (-.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a)) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 b a))
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) (-.f64 b a))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (+.f64 b a))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (-.f64 b a)))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a))) (*.f64 (*.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b)) (neg.f64 (PI.f64))) (neg.f64 (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 b #s(literal 2 binary64)))) (+.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (neg.f64 (-.f64 b a)) (*.f64 b a))) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) a)) (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (-.f64 b a))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
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(/.f64 (neg.f64 (-.f64 b a)) (neg.f64 (*.f64 b a)))
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(/.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (neg.f64 b))
(/.f64 (/.f64 (-.f64 b a) a) (neg.f64 (neg.f64 b)))
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(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (+.f64 b a) (*.f64 b a)))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))) (neg.f64 (*.f64 b a)))
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 (PI.f64) a)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 a a)))

eval167.0ms (2.1%)

Memory
22.3MiB live, 258.8MiB allocated; 41ms collecting garbage
Compiler

Compiled 34 556 to 4 124 computations (88.1% saved)

prune40.0ms (0.5%)

Memory
-18.5MiB live, 127.3MiB allocated; 19ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New97319992
Fresh9110
Picked415
Done000
Total986211 007
Accuracy
100.0%
Counts
1 007 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.0%
(/.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (-.f64 b a)))
98.9%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
86.4%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
88.5%
(*.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)))
72.0%
(*.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)))
68.0%
(*.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)))
68.7%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
52.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
62.5%
#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))
61.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
57.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) b)) (*.f64 (*.f64 b a) b)))
51.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 b b))))
55.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
60.7%
#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)))
60.5%
#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)))
66.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64)))
57.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))))
59.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) a) b)))
59.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (*.f64 b a))))
49.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))))
57.2%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Compiler

Compiled 1 281 to 878 computations (31.5% saved)

simplify118.0ms (1.5%)

Memory
19.7MiB live, 204.1MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
cost-diff1
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
cost-diff0
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (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 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
cost-diff0
(*.f64 b a)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
cost-diff0
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
cost-diff0
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
cost-diff8
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058352
086350
1197346
2662335
32827311
45468311
09179311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
b
a
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 b a)
(*.f64 (*.f64 b a) (-.f64 b a))
(*.f64 b a)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
(PI.f64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
#s(literal -1/2 binary64)
(*.f64 b a)
b
a
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(*.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) a)
(PI.f64)
a
b
#s(literal -1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal -1/2 binary64)
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/.f64 (PI.f64) b)
b
#s(literal 1/2 binary64)
(*.f64 a a)
Outputs
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) a) (/.f64 (PI.f64) b))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
#s(literal 1/2 binary64)
(+.f64 b a)
(+.f64 a b)
(*.f64 (*.f64 b a) (-.f64 b a))
(*.f64 (*.f64 (-.f64 b a) b) a)
(*.f64 b a)
(*.f64 a b)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
(PI.f64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 1/2 binary64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.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) a) b)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
#s(literal -1/2 binary64)
(*.f64 b a)
(*.f64 a b)
b
a
(/.f64 (PI.f64) (-.f64 b a))
(PI.f64)
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (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 (fma.f64 (/.f64 (neg.f64 b) a) (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (fma.f64 (/.f64 (neg.f64 b) a) (PI.f64) (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(*.f64 (/.f64 (-.f64 b a) a) (PI.f64))
(*.f64 (/.f64 (PI.f64) a) b)
(/.f64 (PI.f64) a)
(PI.f64)
a
b
#s(literal -1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal -1/2 binary64)
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/.f64 (PI.f64) b)
b
#s(literal 1/2 binary64)
(*.f64 a a)

localize240.0ms (3%)

Memory
-6.2MiB live, 188.4MiB allocated; 13ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2890625
(/.f64 (PI.f64) a)
accuracy0.30078125
(/.f64 (PI.f64) b)
accuracy4.0482187249428785
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
accuracy26.090510993662278
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
accuracy0.2890625
(/.f64 (PI.f64) a)
accuracy2.1945763346293936
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))
accuracy6.641599283625313
(*.f64 (*.f64 a a) b)
accuracy26.090510993662278
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
accuracy0.15234375
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.32421875
(/.f64 (PI.f64) (-.f64 b a))
accuracy0.3580738921367407
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
accuracy26.392421717417292
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
accuracy0.00390625
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
accuracy0.5385365475776801
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
accuracy7.017765990324763
(*.f64 (*.f64 b b) a)
accuracy24.42547205809341
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
accuracy0.15234375
(*.f64 (*.f64 b a) (-.f64 b a))
accuracy0.3671875
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
accuracy0.41015625
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
accuracy0.5809094939304307
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
Samples
168.0ms256×0valid
Compiler

Compiled 303 to 52 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 111.0ms (75% of total)
ival-mult: 27.0ms (18.3% of total)
ival-sub: 5.0ms (3.4% of total)
ival-add: 4.0ms (2.7% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-1.0MiB live, 42.3MiB allocated; 6ms collecting garbage
Counts
25 → 150
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
(PI.f64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/.f64 (PI.f64) a)
(*.f64 (*.f64 b a) (-.f64 b a))
(*.f64 (*.f64 b b) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) 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 (PI))
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2))))))))))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ (PI) (* a (pow b 2)))
(/ 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)
(/ -1/2 (* a b))
(* a b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (PI) a)
(* a (pow b 2))
(* a (+ (* -1 (* a b)) (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))
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/ (- (/ 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)
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -1 (PI))
(- (/ (* b (PI)) a) (PI))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1/2 (PI)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) 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) (/ (* 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)
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))))))))
(- b a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) 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)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* b (+ (* -1 (pow a 2)) (* 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 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))))
(* b (+ 1 (* -1 (/ a b))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (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)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b))))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) 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 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) 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
14.0ms
b
@inf
((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b))
5.0ms
a
@-inf
((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b))
5.0ms
b
@-inf
((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b))
5.0ms
a
@0
((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b))
5.0ms
a
@inf
((/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ -1/2 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (- (* (/ (PI) a) b) (PI)) -1/2) (* (* a a) b)) (* (- (* (/ (PI) a) b) (PI)) -1/2) (- (* (/ (PI) a) b) (PI)) (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (+ (* (/ (PI) a) -1/2) (* (/ (PI) b) 1/2)) (* a a)) (/ (PI) a) (* (* b a) (- b a)) (* (* b b) a) (/ (PI) (- b a)) (* (* a a) b) (/ (PI) b))

simplify211.0ms (2.7%)

Memory
-8.7MiB live, 141.6MiB allocated; 36ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07623574
127443139
083343015
Stop Event
iter limit
node limit
Counts
150 → 149
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2))))))))))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ (PI) (* a (pow b 2)))
(/ 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)
(/ -1/2 (* a b))
(* a b)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/ (* b (PI)) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(* -1/2 (/ (PI) a))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/ (PI) a)
(* a (pow b 2))
(* a (+ (* -1 (* a b)) (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))
(* (pow a 2) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))))
(* -1 a)
(* a (- (/ b a) 1))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/ (- (/ 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)
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -1 (PI))
(- (/ (* b (PI)) a) (PI))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(* -1 (* (pow a 2) b))
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) 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 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1/2 (PI)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) 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) (/ (* 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)
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))))))))
(- b a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) 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)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(* b (+ (* -1 (pow a 2)) (* 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 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))))
(* b (+ 1 (* -1 (/ a b))))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (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)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* b (+ (* -1 (/ (PI) b)) (/ (PI) a)))
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b))))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) 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 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) 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 #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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) 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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) 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 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64)))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)))) a (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) a (*.f64 #s(literal 1/2 binary64) (PI.f64)))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) (/.f64 (PI.f64) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 0 binary64) (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b))) a (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1/2 binary64))) a)) a)
(/ (PI) (* a (pow b 2)))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) 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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 b b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ -1/2 (* a b))
(/.f64 #s(literal -1/2 binary64) (*.f64 a b))
(* a b)
(*.f64 a b)
(* -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) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 (/ (* b (PI)) a))
(*.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))) a)
(/ (* b (PI)) a)
(/.f64 (*.f64 (PI.f64) b) a)
(/ (+ (* -1 (* a (PI))) (* b (PI))) a)
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) a)
(* -1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) a)
(/ (PI) a)
(/.f64 (PI.f64) a)
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* -1 (* a b)) (pow b 2)))
(*.f64 (*.f64 b (-.f64 b a)) a)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(fma.f64 a (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (/.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 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))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (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 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (PI.f64) b)))) (*.f64 a a))
(* -1/2 (PI))
(*.f64 #s(literal -1/2 binary64) (PI.f64))
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) b) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (/.f64 b a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) a))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (*.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b)))))
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) b) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (PI.f64)))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (PI.f64)))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) a)) a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) #s(literal 0 binary64) (*.f64 (neg.f64 b) (PI.f64))) a) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) a) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (fma.f64 (PI.f64) b (*.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) #s(literal 0 binary64))) a) (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) (*.f64 (fma.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) #s(literal 0 binary64) (*.f64 (neg.f64 b) (PI.f64))) #s(literal 0 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) b))) a) (/.f64 (PI.f64) b)))) (*.f64 a a))
(/ (- (/ 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 (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a) (-.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) a) (/.f64 b a) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1/2 binary64) b)) a)
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64)))
(* -1 (PI))
(neg.f64 (PI.f64))
(- (/ (* b (PI)) a) (PI))
(-.f64 (/.f64 (*.f64 (PI.f64) b) a) (PI.f64))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(* -1 (* (pow a 2) b))
(*.f64 (neg.f64 b) (*.f64 a a))
(* (pow a 2) (+ (* -1 b) (/ (pow b 2) a)))
(*.f64 (-.f64 (/.f64 (*.f64 b b) a) b) (*.f64 a a))
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(/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (PI.f64)))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (PI.f64)))) b)
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b)) b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (neg.f64 a) (PI.f64))) b) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) b) (/.f64 (PI.f64) a)))) (*.f64 b b))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (neg.f64 a) (PI.f64))) (*.f64 b b)) (/.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (neg.f64 a) (PI.f64))) #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 (neg.f64 a) a))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) 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 (/.f64 #s(literal 1/2 binary64) a) (/.f64 a (*.f64 b b))) (/.f64 #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 (-.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 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (*.f64 a a) b))))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.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)
(* (pow b 2) (+ a (* -1 (/ (pow a 2) b))))
(*.f64 (-.f64 a (/.f64 (*.f64 a a) b)) (*.f64 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 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (PI.f64)) (*.f64 a (/.f64 (PI.f64) 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)) (neg.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (*.f64 a (/.f64 (PI.f64) b))))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.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) (-.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (*.f64 a (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) (neg.f64 b)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) a) (*.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) (neg.f64 b))) (neg.f64 b)))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) a) (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) 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) (fma.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)) b))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)) #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 (neg.f64 a) a))) b) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)))) (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 (-.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (neg.f64 b)) (/.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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) a) (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(* -1 (* b (+ (* -1 (/ (PI) a)) (/ (PI) b))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (PI.f64) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b)) b) (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) b)) (neg.f64 b))

rewrite414.0ms (5.3%)

Memory
6.7MiB live, 199.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058296
086294
1334258
22927258
08878258
Stop Event
iter limit
node limit
iter limit
Counts
25 → 488
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (*.f64 (*.f64 b b) a))
(PI.f64)
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal -1/2 binary64) (*.f64 b a))
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64))
(-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))
(fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a))
(/.f64 (PI.f64) a)
(*.f64 (*.f64 b a) (-.f64 b a))
(*.f64 (*.f64 b b) a)
(/.f64 (PI.f64) (-.f64 b a))
(*.f64 (*.f64 a a) b)
(/.f64 (PI.f64) b)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) 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 (PI.f64) (-.f64 b a)) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b 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 b a)) (*.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (-.f64 b a) a)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) b) (/.f64 (-.f64 b a) (*.f64 (-.f64 b a) a)))
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 (-.f64 b a) a)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a))) (-.f64 b a))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) 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) b) a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (*.f64 (-.f64 b 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 (-.f64 b a) b) a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) b) a))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 (*.f64 (-.f64 b a) b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) b) a)))
(*.f64 (-.f64 b a) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) a))))
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (-.f64 b a)) (*.f64 a b))
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(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 (PI.f64) a)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(*.f64 (*.f64 (-.f64 b a) b) a)
(*.f64 (*.f64 (-.f64 b a) a) b)
(*.f64 (*.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (*.f64 a b))
(*.f64 a (*.f64 b (-.f64 b a)))
(*.f64 b (*.f64 (-.f64 b a) a))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 a b)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (*.f64 (*.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 (+.f64 a b) (-.f64 b a)) (*.f64 a b)) (+.f64 a b))
(/.f64 (*.f64 (*.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 b))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) a))
(*.f64 (*.f64 b b) a)
(*.f64 (*.f64 a b) b)
(*.f64 a (*.f64 b b))
(*.f64 b (*.f64 a b))
(fabs.f64 (*.f64 b (*.f64 (neg.f64 b) a)))
(fabs.f64 (*.f64 (*.f64 b 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 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1 binary64))
(*.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 #s(literal 1 binary64) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (PI.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 a (*.f64 (neg.f64 b) a)))
(fabs.f64 (*.f64 (*.f64 a a) b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 b b)))

eval128.0ms (1.6%)

Memory
-2.1MiB live, 225.3MiB allocated; 28ms collecting garbage
Compiler

Compiled 36 885 to 4 023 computations (89.1% saved)

prune29.0ms (0.4%)

Memory
31.7MiB live, 79.0MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New990131 003
Fresh12315
Picked415
Done011
Total1 006181 024
Accuracy
100.0%
Counts
1 024 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
98.9%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
65.9%
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
68.7%
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a))
68.3%
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
68.7%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) b) a)) (/.f64 (PI.f64) (-.f64 b a)))
60.7%
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
59.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
61.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
60.5%
#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)))
66.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64)))
55.0%
#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)) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))))
49.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))))
61.7%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b)))
57.2%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
61.7%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
57.0%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
57.2%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
Compiler

Compiled 988 to 690 computations (30.2% saved)

simplify129.0ms (1.6%)

Memory
-5.8MiB live, 140.7MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
059335
087331
1187329
2535329
32003329
45528329
09313329
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
#s(literal 1/2 binary64)
(+.f64 a b)
a
b
(PI.f64)
(*.f64 a b)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a)
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
b
a
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 b a)
(*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))
(*.f64 b a)
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 a b)
(+.f64 b a)
a
b
(PI.f64)
(*.f64 a b)
(*.f64 b a)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(literal 1/2 binary64)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)) (PI.f64))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(literal 1/2 binary64)
(*.f64 b b)
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b a)))
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b a))
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a)
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(/.f64 (PI.f64) a)
(PI.f64)
a
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) b) #s(approx (- b a) (neg.f64 a))) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 (*.f64 (-.f64 b a) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 b a)))
(-.f64 b a)
b
a
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
#s(literal 1/2 binary64)
(+.f64 b a)
(*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))
(*.f64 #s(approx (- b a) (neg.f64 a)) (*.f64 b a))
(*.f64 b a)
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)

localize227.0ms (2.9%)

Memory
-1.7MiB live, 226.2MiB allocated; 54ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3671875
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
accuracy0.41015625
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
accuracy0.5809094939304307
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
accuracy29.849223039036136
#s(approx (- b a) (neg.f64 a))
accuracy0.2890625
(/.f64 (PI.f64) a)
accuracy5.126498562841718
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
accuracy26.090510993662278
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
accuracy29.76886266550428
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
accuracy0.2890625
(/.f64 (PI.f64) a)
accuracy0.40465067424922685
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
accuracy6.787652602490896
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
accuracy24.42547205809341
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
accuracy0.16472626953688402
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
accuracy0.447768684097652
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
accuracy7.017765990324763
(*.f64 (*.f64 b b) a)
accuracy24.42547205809341
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
accuracy0.0
(PI.f64)
accuracy0.01171875
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
accuracy0.15234375
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
accuracy0.41015625
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
Samples
167.0ms256×0valid
Compiler

Compiled 268 to 51 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-div: 98.0ms (72.6% of total)
ival-mult: 27.0ms (20% of total)
ival-sub: 4.0ms (3% of total)
ival-add: 3.0ms (2.2% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-19.4MiB live, 34.2MiB allocated; 28ms collecting garbage
Counts
22 → 126
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(+.f64 a b)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(/.f64 (PI.f64) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a)
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (*.f64 b b) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(approx (- b a) (neg.f64 a))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
b
(+ a b)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ 1/2 (* a (pow b 2)))
(/ (PI) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2))))))))))
(+ b (* -1 a))
(* a (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
a
(* a (+ 1 (/ b a)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (* -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 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1/2 (PI)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))))))))
(- b a)
(/ 1/2 (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* b (+ 1 (/ a b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))))
(* b (+ 1 (* -1 (/ 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(* -1 (* b (- (/ a b) 1)))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
b
@-inf
((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a))
3.0ms
a
@-inf
((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a))
3.0ms
a
@inf
((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a))
3.0ms
a
@0
((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a))
3.0ms
b
@inf
((/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (PI) (/ 1/2 (* (* b b) a)) (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b b))) (/ (PI) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) b) (/ (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) a) (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (- b a) (* (PI) (/ 1/2 (+ b a))) (* (* b b) a) (/ 1/2 (* b b)) (- b a))

simplify632.0ms (8%)

Memory
-54.5MiB live, 188.2MiB allocated; 916ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07043215
124972776
087422659
Stop Event
iter limit
node limit
Counts
126 → 124
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
b
(+ a b)
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)
(/ 1/2 (* a (pow b 2)))
(/ (PI) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 3)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))
(* -1/2 (/ (* b (PI)) (pow a 2)))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 2))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 1/2 (* a (- (* -1 (/ (PI) b)) (/ (PI) b)))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))))))
(+ (* 1/2 (PI)) (* a (+ (* 1/2 (- (* -1 (/ (PI) b)) (/ (PI) b))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3))))) (* 1/2 (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2))))))))))
(+ b (* -1 a))
(* a (pow b 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
a
(* a (+ 1 (/ b a)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))
(* 1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))
(* -1/2 (PI))
(+ (* -1/2 (PI)) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a))))
(+ (* -1/2 (PI)) (+ (* -1/2 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3))) (* 1/2 (/ (- (* b (PI)) (* -1 (* b (PI)))) a)))))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (* -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 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1/2 (PI)) (* -1/2 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (/ (+ (* -1/2 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* 1/2 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a)) (* 1/2 (- (* -1 (* b (PI))) (* b (PI))))) a)) (* -1/2 (PI)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)
(+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))
(+ (* -1/2 (PI)) (* 1/2 (* b (- (/ (PI) a) (* -1 (/ (PI) a))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2))))) (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))))))
(+ (* -1/2 (PI)) (* b (+ (* 1/2 (- (/ (PI) a) (* -1 (/ (PI) a)))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))))))))
(- b a)
(/ 1/2 (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(* b (+ 1 (/ a b)))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))
(/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))
(* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a b)))))
(+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b))))
(+ (* -1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))) (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3))) (* 1/2 (/ (- (* -1 (* a (PI))) (* a (PI))) b)))))
(* b (+ 1 (* -1 (/ 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 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(* -1 (* b (- (/ a b) 1)))
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 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) 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)
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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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) (*.f64 (PI.f64) a))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 a (/.f64 (PI.f64) b)))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (PI.f64) a) (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 a a) (PI.f64)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 a a) b) a)) b) #s(literal 1/2 binary64)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) (*.f64 a a))) b) (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)) #s(literal 1/2 binary64)) (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
(/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)) b))) b)) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (PI.f64)))) b) (fma.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal 0 binary64) (*.f64 (PI.f64) a)))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))))
(* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))
(*.f64 (neg.f64 b) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 (PI.f64) a) b) (/.f64 (PI.f64) (*.f64 a a)))))
(+ (* -1 (/ (+ (* -1/2 (- (* -1 (* a (PI))) (* a (PI)))) (* 1/2 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (*.f64 a (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b)))) (neg.f64 b)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (- (* -1 (* a (PI))) (* a (PI))))) (* 1/2 (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b))) b)) (* -1/2 (- (* -1 (* a (PI))) (* a (PI))))) b)) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) a) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) a) a) b))) (neg.f64 b))) (neg.f64 b)))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))

rewrite162.0ms (2.1%)

Memory
-25.6MiB live, 175.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059276
087272
1314246
22517246
08712246
Stop Event
iter limit
node limit
iter limit
Counts
22 → 597
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))
(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
(+.f64 a b)
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a)))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(/.f64 (PI.f64) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
(/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b)
(/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a)
#s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(*.f64 (-.f64 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(-.f64 b a)
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (*.f64 b b) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
#s(approx (- b a) (neg.f64 a))
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b) (/.f64 (PI.f64) a))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) b) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (/.f64 (PI.f64) b))
(*.f64 (/.f64 (pow.f64 (+.f64 b a) #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) a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) b))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))
(*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (/.f64 (PI.f64) b) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.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 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (/.f64 (+.f64 b a) (*.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 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #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) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b))) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (neg.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (*.f64 #s(literal -2 binary64) (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (PI.f64) b) a))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 b a) #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 b a) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 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 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) (fma.f64 (neg.f64 b) b (*.f64 a a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (neg.f64 b) b (*.f64 a a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (*.f64 (/.f64 (+.f64 b a) (*.f64 b a)) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (*.f64 #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 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 (*.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (-.f64 b a) (/.f64 (+.f64 b a) (*.f64 b a)))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 b)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 b))
(/.f64 (/.f64 #s(literal 1/2 binary64) b) b)
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 b b))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
#s(approx (- b a) (neg.f64 a))

eval128.0ms (1.6%)

Memory
0.7MiB live, 186.8MiB allocated; 26ms collecting garbage
Compiler

Compiled 25 569 to 3 124 computations (87.8% saved)

prune78.0ms (1%)

Memory
2.8MiB live, 114.3MiB allocated; 43ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New82214836
Fresh9211
Picked325
Done022
Total83420854
Accuracy
100.0%
Counts
854 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) b) a)
94.0%
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b)
95.2%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) a)
99.6%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a b))
99.0%
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
68.7%
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a))
66.6%
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b))
61.7%
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))
66.7%
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b))
66.4%
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
99.6%
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
60.7%
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
66.7%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) a))
60.5%
#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)))
57.2%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
61.7%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
57.0%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
57.0%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b))))
57.2%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
61.7%
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
Compiler

Compiled 2 092 to 617 computations (70.5% saved)

regimes61.0ms (0.8%)

Memory
5.4MiB live, 51.3MiB allocated; 3ms collecting garbage
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64)))
#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)))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* (/ -1/2 a) (- (* (/ (PI) a) b) (PI))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) a))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal -1/2 binary64) b) a)) (/.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 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (/.f64 (PI.f64) b)) a)
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) a) (PI.f64)) b)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.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) a (*.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 b 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)) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (*.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))))
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 b a) (*.f64 (-.f64 b a) (*.f64 (+.f64 b a) #s(literal 2 binary64)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 b b))))
#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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) (/.f64 (PI.f64) b)) (*.f64 (*.f64 b a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
(*.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (*.f64 b a))))
(/.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 b a) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.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 (*.f64 (/.f64 (-.f64 b a) a) (PI.f64)) (*.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) b) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.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) 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 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#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 #s(literal 1/2 binary64) (+.f64 a b)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 a b))
(/.f64 (*.f64 (-.f64 b a) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))) (*.f64 (*.f64 b a) (-.f64 b a)))
(*.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)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #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 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
Calls

3 calls:

31.0ms
b
15.0ms
a
13.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%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)))
99.6%1a
99.6%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes37.0ms (0.5%)

Memory
-17.2MiB live, 29.5MiB allocated; 3ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64)))
#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)))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 a b))) (PI.f64)) (-.f64 b a))
Outputs
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
Calls

3 calls:

6.0ms
a
6.0ms
b
5.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.6%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)))
99.6%1b
99.6%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes23.0ms (0.3%)

Memory
-13.3MiB live, 38.3MiB allocated; 8ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (*.f64 b b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) (*.f64 b a)) #s(literal 1/2 binary64)))
#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)))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (*.f64 a b))
(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a b))
(/.f64 (*.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (*.f64 a b))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 #s(literal -1/2 binary64) (*.f64 b a))) (/.f64 (PI.f64) (-.f64 b a)))
Outputs
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
Calls

3 calls:

11.0ms
a
6.0ms
b
5.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
99.0%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)))
99.0%1a
99.0%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes9.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
Outputs
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))
Calls

3 calls:

3.0ms
b
3.0ms
a
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
78.7%4(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
89.8%3a
89.2%3b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes10.0ms (0.1%)

Memory
-28.8MiB live, 15.1MiB allocated; 7ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
Outputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
89.2%3b
87.6%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (/ (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (* (* b a) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #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 a) b)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
81.9%3a
83.5%3b
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) a))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
Outputs
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
b
2.0ms
a
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
61.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
61.7%1a
61.7%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Accuracy

Total -2.9b remaining (-11.7%)

Threshold costs -2.9b (-11.7%)

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

3 calls:

1.0ms
b
1.0ms
a
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
61.7%1a
61.7%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
61.7%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch67.0ms (0.9%)

Memory
2.7MiB live, 47.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.327131367520582e-100
2.8716076289486922e-93
16.0ms
-1.661957728389652e-42
-4.0060105286887664e-46
Samples
23.0ms272×0valid
Compiler

Compiled 942 to 717 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.7% of total)
ival-mult: 6.0ms (34.9% of total)
ival-sub: 2.0ms (11.6% of total)
ival-pi: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.8%)

Memory
-9.8MiB live, 89.0MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
9.272238503597612e-64
2.0066839411075418e-56
31.0ms
-3.507139220684476e-17
-3.8989151584077076e-22
Samples
43.0ms288×0valid
Compiler

Compiled 1 050 to 776 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 19.0ms (52.5% of total)
ival-pi: 7.0ms (19.4% of total)
ival-mult: 7.0ms (19.4% of total)
ival-sub: 3.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-34.2MiB live, 8.5MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.272238503597612e-64
2.0066839411075418e-56
1.0ms
-3.507139220684476e-17
-3.8989151584077076e-22
Compiler

Compiled 1 140 to 848 computations (25.6% saved)

simplify75.0ms (1%)

Memory
24.0MiB live, 69.9MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077295
1137283
2308283
3886283
43446283
55880283
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) (if (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))))
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))))
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 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 a) b))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (*.f64 a b))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) (if (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a)))))
(if (or (<=.f64 a #s(literal -2259756624739205/6277101735386680763835789423207666416102355444464034512896 binary64)) (not (<=.f64 a #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) (-.f64 b a))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) (not (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (- b a) (* (PI) (/ 1/2 (+ b a)))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (*.f64 b a) #s(approx (- b a) (neg.f64 a)))))
(if (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) (if (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 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 a) b))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 b #s(literal -2076918743413931/2596148429267413814265248164610048 binary64)) (not (<=.f64 b #s(literal 4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))) #s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ 1 (* 2 (+ a b))) (/ (PI) (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) b))))

derivations1.1s (14%)

Memory
-9.2MiB live, 995.1MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07623574
127443139
083343015
052294
082288
1300282
22717282
08635282
02911145
19051099
235331055
085221011
08373820
129953773
084533589
059276
087272
1314246
22517246
08712246
01554
02654
111250
298050
0891250
058296
086294
1334258
22927258
08878258
07043215
124972776
087422659
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 295 to 72 computations (75.6% saved)

preprocess106.0ms (1.3%)

Memory
22.8MiB live, 123.1MiB allocated; 24ms collecting garbage
Compiler

Compiled 632 to 174 computations (72.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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