NMSE Section 6.1 mentioned, B

Time bar (total: 7.9s)

start0.0ms (0%)

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

analyze112.0ms (1.4%)

Memory
25.9MiB live, 214.8MiB allocated; 39ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.6s (20.1%)

Memory
31.9MiB live, 1 919.2MiB allocated; 557ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 721.0ms
ival-mult: 278.0ms (38.5% of total)
ival-div: 270.0ms (37.4% of total)
ival-pi: 80.0ms (11.1% of total)
ival-sub: 74.0ms (10.3% of total)
exact: 8.0ms (1.1% of total)
ival-true: 5.0ms (0.7% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain205.0ms (2.6%)

Memory
-10.0MiB live, 273.6MiB allocated; 61ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
440-3(-4.123599728125263e+161 -6.19716316729171e-237)(*.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)))
190-0-(-.f64 (*.f64 b b) (*.f64 a a))
41(-4.123599728125263e+161 -6.19716316729171e-237)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*u410
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue190
↳(*.f64 b b)overflow76
↳(*.f64 a a)overflow69
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o50
↳(*.f64 b b)overflow76
↳(*.f64 a a)overflow69
↳(-.f64 (*.f64 b b) (*.f64 a a))overflow126
Confusion
Predicted +Predicted -
+647
-1184
Precision
0.9846153846153847
Recall
0.9014084507042254
Confusion?
Predicted +Predicted MaybePredicted -
+6407
-10184
Precision?
0.9846153846153847
Recall?
0.9014084507042254
Freqs
test
numberfreq
0191
165
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 32.0ms (62.7% of total)
ival-mult: 12.0ms (23.5% of total)
ival-sub: 4.0ms (7.8% of total)
ival-pi: 2.0ms (3.9% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess206.0ms (2.6%)

Memory
-3.4MiB live, 155.5MiB allocated; 47ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.3%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify149.0ms (1.9%)

Memory
-4.6MiB live, 124.3MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize61.0ms (0.8%)

Memory
-24.9MiB live, 81.7MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
accuracy0.6562228252557443
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
accuracy4.242168922471853
(-.f64 (*.f64 b b) (*.f64 a a))
accuracy9.269635474757854
(*.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
49.0ms256×0valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (44% of total)
ival-mult: 6.0ms (37.7% of total)
ival-sub: 2.0ms (12.6% of total)
ival-pi: 1.0ms (6.3% 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)

series10.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms 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
2.0ms
a
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
a
@inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms
b
@0
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms
a
@-inf
((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify175.0ms (2.2%)

Memory
14.0MiB live, 239.0MiB allocated; 33ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite114.0ms (1.4%)

Memory
-0.8MiB live, 194.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01554
02654
111250
298050
0891250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 342
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a))))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))
Outputs
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)) (/.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 b a)))
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(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(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))))

eval94.0ms (1.2%)

Memory
10.7MiB live, 161.8MiB allocated; 17ms collecting garbage
Compiler

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

prune16.0ms (0.2%)

Memory
-4.3MiB live, 41.5MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New37015385
Fresh000
Picked101
Done000
Total37115386
Accuracy
99.9%
Counts
386 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.7%
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
38.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
▶84.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
78.6%
(/.f64 (*.f64 (-.f64 b a) (PI.f64)) (*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
78.6%
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
▶84.8%
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
68.3%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) (*.f64 a a))))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
62.9%
#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))
57.4%
#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))
52.1%
#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))
46.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) b))
58.7%
#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)))
▶55.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
51.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
▶46.3%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
Compiler

Compiled 894 to 596 computations (33.3% saved)

simplify167.0ms (2.1%)

Memory
-7.3MiB live, 127.0MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize126.0ms (1.6%)

Memory
-9.5MiB live, 139.2MiB allocated; 17ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (-.f64 b a) a)
accuracy0.35546875
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
accuracy9.2527323245666
(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy9.855555072721856
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy0.00390625
(*.f64 #s(literal 2 binary64) (*.f64 a b))
accuracy0.17578125
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy0.6754720892308976
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy32.60912503510355
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy0.0078125
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy0.7225307197570947
(/.f64 (PI.f64) (*.f64 a a))
accuracy4.067362825729991
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy29.941476858592686
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
accuracy0.00390625
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
accuracy0.7225307197570947
(/.f64 (PI.f64) (*.f64 a a))
accuracy8.20473930080597
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy23.831042095984937
#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)))
accuracy0.171875
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
accuracy0.203125
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
accuracy0.3046875
(/.f64 (PI.f64) (-.f64 b a))
accuracy9.2527323245666
(/.f64 (/.f64 (-.f64 b a) a) b)
Samples
79.0ms256×0valid
Compiler

Compiled 305 to 43 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 30.0ms (50.8% of total)
ival-div: 22.0ms (37.3% of total)
ival-sub: 3.0ms (5.1% of total)
ival-add: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
23.8MiB live, 66.4MiB allocated; 7ms collecting garbage
Counts
19 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* 2 (* a 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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(* -1 (/ (PI) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
b
@-inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)))
9.0ms
b
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)))
7.0ms
a
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)))
6.0ms
a
@0
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)))
5.0ms
b
@inf
((* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* a a)) (+ (/ 1/2 b) (/ -1/2 a))) (PI) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (/ (- b a) a) b) (PI)) (* (* 2 (+ a b)) (- b a))) (* (/ (/ (- b a) a) b) (PI)) (/ (PI) (- b a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)))

simplify146.0ms (1.8%)

Memory
-3.5MiB live, 223.1MiB allocated; 31ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06022413
119922055
082711964
Stop Event
1×iter limit
1×node limit
Counts
122 → 122
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/ 1/2 (* a b))
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ b a)
(/ (+ b (* -1 a)) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* (pow a 2) b))
(/ (PI) (pow a 2))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(/ -1/2 a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(* 2 (* a 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 (* a b))
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
-1
(- (/ b a) 1)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(* -1 (/ (PI) b))
(+ (* -1 (/ (PI) b)) (/ (PI) a))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/ 1/2 b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (- (* 1/2 (/ 1 b)) (/ 1 a)) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (* 1/2 (/ 1 b))) a))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/ (- (/ b (pow a 2)) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (* b (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (* 1/2 (/ 1 a))) b)
(/ (- (/ b a) 1) b)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (+ (* -1 (PI)) (/ (* b (PI)) a)) b)
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/ (- (* 1/2 (/ 1 a)) (/ 1 b)) b)
(/ (- (+ (* 1/2 (/ 1 a)) (/ a (pow b 2))) (/ 1 b)) b)
(/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (/ a (pow b 2)))) (/ 1 b)) b)
(* b (- (/ 1 a) (/ 1 b)))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(* -1 (* b (- (/ 1 b) (/ 1 a))))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/ (+ (* -1 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b)) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (* 1/2 (/ 1 b))) a)
(/.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 4 binary64))) (-.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))) a (/.f64 #s(literal 1/2 binary64) b)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 a)) a)
(/.f64 (-.f64 b a) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (*.f64 (*.f64 a a) b))
(/ (PI) (pow a 2))
(/.f64 (PI.f64) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) (pow.f64 a #s(literal 3 binary64)))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ (PI) (pow b 2))
(/.f64 (PI.f64) (*.f64 b b))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(fma.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 a)) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (*.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 b b))) a) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (PI.f64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) a)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ (- (* 1/2 (/ a b)) 1/2) a)
(/.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) a)
(* 2 (* a b))
(*.f64 (*.f64 a b) #s(literal 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 (/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) a) a)
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 b b) (PI.f64)) a))) (*.f64 a a))
(/ -1/2 (* a b))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ (- (/ 1 a) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (/ 1 a)) (* 1/2 (/ 1 b))) a)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(/ (- (+ (* -1 (/ b (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3)))) (* 1/2 (/ 1 b))) a)
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(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (PI.f64) (/.f64 a b))))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (- (/ 1 b) (* 1/2 (/ 1 a))) b))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (/ a b) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) 1) b)) (* 1/2 (/ 1 a))) b))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) (neg.f64 b)) #s(literal 1 binary64)) b) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (neg.f64 b))
(* -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)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (PI.f64) (/.f64 a b)))) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (neg.f64 b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b))) b)) (*.f64 b b))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/.f64 (-.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) b) (PI.f64) (*.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64)))) (neg.f64 b))) b)) (*.f64 b b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 a (/.f64 a b)) (*.f64 (PI.f64) a)) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b))) b)) b)) (neg.f64 b))

rewrite216.0ms (2.7%)

Memory
-24.2MiB live, 233.3MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045231
071231
1281227
22529227
09127227
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 970
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (-.f64 b a) a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64))
(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
(/.f64 (PI.f64) (*.f64 a a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(PI.f64)
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64))
(/.f64 (PI.f64) (-.f64 b a))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b))))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) a)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) a))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (-.f64 b a)) (*.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (/.f64 (PI.f64) (-.f64 b a)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (-.f64 b a) a))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (+.f64 a b)) (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (neg.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (-.f64 b a) (neg.f64 a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (/.f64 (-.f64 b a) a))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) #s(literal 2 binary64))) (-.f64 b a)) (-.f64 b a))) (neg.f64 (*.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b)) (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 #s(literal -2 binary64) (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 b a) a))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (*.f64 (*.f64 (+.f64 a b) #s(literal 2 binary64)) b))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (PI.f64))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) (neg.f64 b)) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 a b)) (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))) (neg.f64 (*.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (neg.f64 a))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (neg.f64 (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (-.f64 b a) (neg.f64 a)) (PI.f64)) (neg.f64 b))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 a b))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) a)) b)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.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 (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 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (+.f64 a b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 b a)))
(/.f64 (PI.f64) (-.f64 b a))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) (-.f64 b a)))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (-.f64 b a))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) a)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b)) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)))) (neg.f64 (neg.f64 (*.f64 a b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64)))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) a) b)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) b) a)
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 (*.f64 a b)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 b) (*.f64 a #s(literal -1/2 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1/2 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (neg.f64 a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 b) #s(literal -1/2 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal 1/2 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 a) (*.f64 b #s(literal 1/2 binary64))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (*.f64 a b))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (pow.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (*.f64 a b)))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (*.f64 #s(literal 2 binary64) b) a)
(*.f64 (*.f64 #s(literal 2 binary64) a) b)
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a b))
(*.f64 a (*.f64 #s(literal 2 binary64) b))
(*.f64 b (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (-.f64 (*.f64 a b) (*.f64 a b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(fma.f64 a b (*.f64 a b))
(fma.f64 b a (*.f64 a b))
(-.f64 (*.f64 a b) (*.f64 (neg.f64 b) a))
(-.f64 (*.f64 a b) (*.f64 (neg.f64 a) b))
(+.f64 (*.f64 a b) (*.f64 a b))

eval200.0ms (2.5%)

Memory
20.6MiB live, 208.4MiB allocated; 26ms collecting garbage
Compiler

Compiled 31 477 to 3 523 computations (88.8% saved)

prune36.0ms (0.5%)

Memory
-30.1MiB live, 74.3MiB allocated; 14ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 004151 019
Fresh6410
Picked325
Done000
Total1 013211 034
Accuracy
100.0%
Counts
1 034 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶99.0%
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
✓84.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
64.2%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
67.1%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
84.7%
(*.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)))
70.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
46.3%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
58.9%
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
62.9%
#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))
57.4%
#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))
46.9%
#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))
▶56.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
▶62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
▶55.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
▶56.1%
#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)))
56.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
58.7%
#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)))
✓55.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
55.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
Compiler

Compiled 1 204 to 814 computations (32.4% saved)

simplify126.0ms (1.6%)

Memory
35.4MiB live, 122.8MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
cost-diff1
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
cost-diff2
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
cost-diff0
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) b)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (+.f64 a b))
cost-diff0
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
cost-diff8
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045316
070316
1153304
2464296
32061292
46346292
08179292
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(-.f64 b a)
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 a b)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(PI.f64)
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(literal -1/2 binary64)
b
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) a)
(PI.f64)
(*.f64 (*.f64 a b) a)
(*.f64 a b)
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 b a) a) b)) (PI.f64))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (PI.f64) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 a b)
(+.f64 b a)
a
b
(-.f64 b a)
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) a) b)
(*.f64 (*.f64 a b) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 a b)
(*.f64 b a)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 a a) b)
(*.f64 a a)
a
b
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
(PI.f64)
(*.f64 a a)
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a)
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 #s(literal 1/2 binary64) b)
#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) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) b) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) b) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
#s(literal -1/2 binary64)
b
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(/.f64 (PI.f64) a)
(PI.f64)
(*.f64 (*.f64 a b) a)
(*.f64 (*.f64 a a) b)
(*.f64 a b)
(*.f64 b a)

localize146.0ms (1.8%)

Memory
-19.8MiB live, 227.9MiB allocated; 64ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
accuracy0.25390625
(/.f64 (PI.f64) a)
accuracy3.5400344718288115
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
accuracy29.941476858592686
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
accuracy0.125
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
accuracy0.20931625976844204
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
accuracy0.25390625
(/.f64 (PI.f64) a)
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
accuracy0.0
(PI.f64)
accuracy0.34375
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
accuracy8.488001786179954
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
accuracy0.0
(PI.f64)
accuracy0.4010542476671797
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
accuracy8.801011466243642
(*.f64 (*.f64 a a) b)
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
accuracy0.1484375
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
accuracy0.29296875
(/.f64 (PI.f64) (+.f64 a b))
accuracy0.31640625
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
accuracy0.5740209664868217
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Samples
96.0ms256×0valid
Compiler

Compiled 274 to 42 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 28.0ms (43.3% of total)
ival-mult: 26.0ms (40.2% of total)
ival-sub: 7.0ms (10.8% of total)
ival-add: 3.0ms (4.6% of total)
ival-pi: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
7.2MiB live, 50.8MiB allocated; 14ms collecting garbage
Counts
21 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) 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)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(* 2 (* a (pow b 2)))
(* a (+ (* -2 (* a b)) (* 2 (pow b 2))))
(* (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 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 (PI))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) a))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(* b (+ (* -2 (pow a 2)) (* 2 (* a b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
b
@inf
((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ 1/2 b) (PI)) (* a a)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (- b a) (* (* a b) 2)) (* (* a a) b))
5.0ms
b
@-inf
((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ 1/2 b) (PI)) (* a a)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (- b a) (* (* a b) 2)) (* (* a a) b))
4.0ms
b
@0
((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ 1/2 b) (PI)) (* a a)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (- b a) (* (* a b) 2)) (* (* a a) b))
4.0ms
a
@-inf
((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ 1/2 b) (PI)) (* a a)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (- b a) (* (* a b) 2)) (* (* a a) b))
4.0ms
a
@inf
((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* (* a a) b)) (* (PI) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ 1/2 b) (PI)) (* a a)) (* (/ 1/2 b) (PI)) (/ 1/2 b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (/ (PI) a) (/ 1/2 b)) a) (* (/ (PI) a) (/ 1/2 b)) (/ (PI) a) (/ (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (* a b) a)) (+ (* -1/2 b) (* 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (+ (* -1/2 b) (* 1/2 a)) (/ (PI) a)) (* (- b a) (* (* a b) 2)) (* (* a a) b))

simplify156.0ms (2%)

Memory
19.7MiB live, 298.6MiB allocated; 42ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04001575
113121398
248571338
084281287
Stop Event
1×iter limit
1×node limit
Counts
83 → 83
Calls
Call 1
Inputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(/ (PI) a)
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(* -1/2 b)
(+ (* -1/2 b) (* 1/2 a))
(* -1/2 (/ (* b (PI)) a))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(* 2 (* a (pow b 2)))
(* a (+ (* -2 (* a b)) (* 2 (pow b 2))))
(* (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 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* 1/2 a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(* 1/2 (PI))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(* -2 (* (pow a 2) b))
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) a))))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(* 1/2 (/ (PI) b))
(/ 1/2 b)
(* b (+ (* -2 (pow a 2)) (* 2 (* a b))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(* b (- (* 1/2 (/ a b)) 1/2))
(* b (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))))
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) 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 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(PI)
(PI.f64)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) b)) b)) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (/.f64 (neg.f64 (PI.f64)) b)) (/.f64 (PI.f64) b)) a (PI.f64))
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(* 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 b)))
(*.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64))
(/ (PI) a)
(/.f64 (PI.f64) a)
(* -1/2 (/ (PI) (pow a 3)))
(*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (* 1/2 a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
(* -1/2 (/ (* b (PI)) a))
(*.f64 (*.f64 (/.f64 (PI.f64) a) b) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) a)
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) a)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b)
(* a (+ (* -2 (* a b)) (* 2 (pow b 2))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 b a (*.f64 (neg.f64 b) b))) a)
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ (+ (* -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) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) (*.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 (fma.f64 b (/.f64 (*.f64 (/.f64 (PI.f64) a) b) a) (PI.f64)) a) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (PI))
(neg.f64 (PI.f64))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) b (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b))) a))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (*.f64 b b) (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))) (/.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))) a))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 (PI.f64) (*.f64 b (/.f64 b a)))) a) (PI.f64)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (PI.f64) a) (*.f64 (PI.f64) b)) a))) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* -1/2 (/ b a))))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) a)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64)))
(* -2 (* (pow a 2) b))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) b)
(* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) a))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 b (/.f64 b a)))) a) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) b (*.f64 (PI.f64) (*.f64 b (/.f64 b a))))) a)) (neg.f64 a))) a) a)
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) a)) b) b (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b))) a))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b) (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) b))) a))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 (PI.f64) (*.f64 b (/.f64 b a)))) a) (PI.f64)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (fma.f64 (PI.f64) b (/.f64 (fma.f64 (*.f64 (neg.f64 (PI.f64)) b) b (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a)) a))) a)) (neg.f64 a))
(* -1 (* a (- (* 1/2 (/ b a)) 1/2)))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) b)) 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 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) a) a) (/.f64 (/.f64 (PI.f64) a) a)) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64))) (*.f64 a a)) (/.f64 (/.f64 (PI.f64) a) a)) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64)))
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* b (+ (* -2 (pow a 2)) (* 2 (* a b))))
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 b a (*.f64 (neg.f64 b) b))) a)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) b)) b) b)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b))
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) a)) (/.f64 a b) (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a))) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(+.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) a)) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) b) a (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) a))) b)) (PI.f64))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 (neg.f64 a) a) b) (*.f64 (PI.f64) a)) b))) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(* b (- (* 1/2 (/ a b)) 1/2))
(*.f64 (-.f64 (*.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) 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)
(* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 a (/.f64 a b)) a)) 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) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) b)) b) b)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (*.f64 (PI.f64) (*.f64 a (/.f64 a b))))) b)) (neg.f64 b))) (*.f64 b b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) a)) (/.f64 a b) (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a))) b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(-.f64 (PI.f64) (/.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) a)) a (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) a)) (*.f64 a (/.f64 a b)))) (neg.f64 b))) b))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (neg.f64 (fma.f64 (PI.f64) a (/.f64 (fma.f64 (*.f64 (neg.f64 (PI.f64)) a) a (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) b))) b)) (neg.f64 b))
(* -1 (* b (+ 1/2 (* -1/2 (/ a b)))))
(*.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) b)
(* -1 (* b (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) b)

rewrite218.0ms (2.8%)

Memory
-31.3MiB live, 262.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045259
070259
1262247
22010247
08264247
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 568
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64))
(/.f64 #s(literal 1/2 binary64) b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (PI.f64) a)
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a))
(fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a))
(*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) b)
Outputs
(*.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 b a) (*.f64 (*.f64 (-.f64 b a) b) a)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 (-.f64 b a) b) a)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) 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 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)) (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))) #s(literal 2 binary64))) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))) (*.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))) a)) (neg.f64 (*.f64 #s(literal 2 binary64) b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 (*.f64 (-.f64 b a) b) a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)) (-.f64 b a)))) (+.f64 b a))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b)) (-.f64 b a)))) (+.f64 b a))
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a))) (*.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b))) (*.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (neg.f64 (PI.f64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))))) (neg.f64 (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (PI.f64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (PI.f64) a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (/.f64 (PI.f64) a))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)))) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (PI.f64))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (/.f64 (PI.f64) a) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64))) (neg.f64 a))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (neg.f64 (PI.f64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (PI.f64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)) a))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (neg.f64 (PI.f64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) (neg.f64 a)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))) a))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (*.f64 (PI.f64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a))))
(/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (*.f64 a (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 b b)) (*.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (PI.f64) a)) (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (/.f64 (PI.f64) a)) (fma.f64 #s(literal 1/4 binary64) (*.f64 b b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)))
(fma.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (PI.f64) a)))
(+.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)))
(+.f64 (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (PI.f64) a) (*.f64 #s(literal -1/2 binary64) b)))
(*.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 b a))
(*.f64 (*.f64 (-.f64 b a) a) (*.f64 #s(literal 2 binary64) b))
(*.f64 (*.f64 (*.f64 (-.f64 b a) b) a) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 b a))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 b a) b) a))
(*.f64 (*.f64 b a) (*.f64 #s(literal 2 binary64) (-.f64 b a)))
(*.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 a (*.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 b a)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a)))) (+.f64 b a))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b b (*.f64 a (+.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a)))) (+.f64 b a))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (+.f64 b a))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 b b (*.f64 a (+.f64 b a))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) (+.f64 b a))
(*.f64 (*.f64 b (neg.f64 a)) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) b))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 b a) a)
(*.f64 b (*.f64 a a))
(*.f64 a (*.f64 b a))
(fabs.f64 (*.f64 (*.f64 (neg.f64 a) a) b))
(fabs.f64 (*.f64 (*.f64 a a) b))

eval155.0ms (2%)

Memory
6.3MiB live, 153.0MiB allocated; 19ms collecting garbage
Compiler

Compiled 26 683 to 2 805 computations (89.5% saved)

prune41.0ms (0.5%)

Memory
16.5MiB live, 62.9MiB allocated; 3ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New72811739
Fresh8614
Picked325
Done022
Total73921760
Accuracy
100.0%
Counts
760 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
43.8%
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
98.8%
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
✓84.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
64.2%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
70.2%
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
67.1%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
70.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
58.9%
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
56.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a)) (*.f64 (*.f64 a b) a)))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
✓55.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
▶62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
✓56.1%
#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)))
▶62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
58.7%
#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)))
✓55.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
▶62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
55.9%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
▶49.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
Compiler

Compiled 1 080 to 740 computations (31.5% saved)

simplify139.0ms (1.8%)

Memory
20.8MiB live, 111.7MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) a)
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
cost-diff2
(*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b)))
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
cost-diff0
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 b a))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
cost-diff0
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
cost-diff0
(-.f64 b a)
cost-diff0
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
cost-diff0
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
cost-diff8
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046321
071321
1147313
2478305
32021301
45624301
08887301
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
(*.f64 #s(literal 2 binary64) (*.f64 b a))
#s(literal 2 binary64)
(*.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 b a)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 b a))
(PI.f64)
(*.f64 b a)
b
a
(/.f64 #s(literal 1/2 binary64) a)
#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) b) a) a) (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
a
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
#s(literal -1/2 binary64)
(-.f64 b a)
b
(*.f64 (*.f64 a a) b)
(*.f64 a a)
Outputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) a) b)
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) a) (/.f64 (-.f64 b a) b))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
(-.f64 b a)
b
a
(/.f64 (PI.f64) (+.f64 b a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 b a)
(+.f64 a b)
(*.f64 #s(literal 2 binary64) (*.f64 b a))
(*.f64 (*.f64 a b) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 b a)
(*.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (*.f64 b a) a)
(*.f64 (*.f64 a a) b)
(*.f64 b a)
(*.f64 a b)
b
a
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) (*.f64 b a))
(/.f64 (PI.f64) (*.f64 a b))
(PI.f64)
(*.f64 b a)
(*.f64 a b)
b
a
(/.f64 #s(literal 1/2 binary64) a)
#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) b) a) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (PI.f64) b))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) a) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
b
a
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))))
(*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a)))
(/.f64 (PI.f64) a)
(PI.f64)
a
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b)) a) (-.f64 b a))
(*.f64 #s(literal -1/2 binary64) (-.f64 b a))
#s(literal -1/2 binary64)
(-.f64 b a)
b
(*.f64 (*.f64 a a) b)
(*.f64 a a)

localize151.0ms (1.9%)

Memory
-19.7MiB live, 123.7MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(/.f64 (PI.f64) a)
accuracy8.801011466243642
(*.f64 (*.f64 a a) b)
accuracy11.830997560490875
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
accuracy29.941476858592686
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
accuracy0.10546875
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
accuracy0.19207001953688402
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
accuracy0.21875
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
accuracy0.0
(PI.f64)
accuracy0.17578125
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
accuracy0.48156440615807516
(/.f64 (PI.f64) (*.f64 b a))
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
accuracy0.0
(PI.f64)
accuracy0.15234375
(*.f64 (*.f64 b a) a)
accuracy0.4010542476671797
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
accuracy23.831042095984937
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
accuracy0.1171875
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
accuracy0.29296875
(/.f64 (PI.f64) (+.f64 b a))
accuracy0.31640625
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
accuracy0.4698456580175365
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
Samples
106.0ms256×0valid
Compiler

Compiled 277 to 42 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-div: 28.0ms (51.8% of total)
ival-mult: 19.0ms (35.1% of total)
ival-sub: 4.0ms (7.4% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-5.2MiB live, 37.5MiB allocated; 14ms collecting garbage
Counts
22 → 98
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) (+.f64 b a))
(*.f64 (*.f64 b a) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
(*.f64 (*.f64 a a) 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) (* a b)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* a b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* a b))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) a)
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* (pow a 2) b)
(/ -1/2 (pow a 2))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(* -1 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (PI))) (* 1/2 (/ (* b (- (* -1 (PI)) (PI))) a))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (- (* -1 (PI)) (PI)))) (* 1/2 (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a))) a)) (* -1/2 (- (* -1 (PI)) (PI)))) a)) (* 1/2 (/ (PI) b))) a))
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 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 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(- b a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 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) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(* b (+ 1 (* -1 (/ a b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 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 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
Calls

6 calls:

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

simplify242.0ms (3.1%)

Memory
15.2MiB live, 162.7MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05322080
117631828
265831793
090611726
Stop Event
1×iter limit
1×node limit
Counts
98 → 97
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) (* a b)))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(PI)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
b
(+ b (* -1 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (PI) (* a b))
(/ 1/2 (* (pow a 2) b))
(/ 1/2 (* a b))
(* -1/2 (/ (PI) (pow a 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))
(/ (PI) a)
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* (pow a 2) b)
(/ -1/2 (pow a 2))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* -1/2 (/ (PI) (* a b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(* -1 (PI))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(* -1 a)
(* a (- (/ b a) 1))
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (PI))) (* 1/2 (/ (* b (- (* -1 (PI)) (PI))) a))) a)) (* 1/2 (/ (PI) b))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (- (* -1 (PI)) (PI)))) (* 1/2 (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a))) a)) (* -1/2 (- (* -1 (PI)) (PI)))) a)) (* 1/2 (/ (PI) b))) a))
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 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 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(- b a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 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) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(* b (+ 1 (* -1 (/ a b))))
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 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 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
Outputs
(* 1/2 (/ (PI) (* a (pow b 2))))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) b) b) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 #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 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a)
(* 1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))) (* 1/2 (/ (PI) b))) a)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a (PI.f64)) b) a))
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2))))))) a)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (* a (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4))))) (* 1/2 (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))))))) a)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 a a) (*.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) #s(literal 1/2 binary64)))) a)
(PI)
(PI.f64)
(+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))
(fma.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b)) a (PI.f64))
(+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (PI.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 (neg.f64 (PI.f64)) (PI.f64)) b)) a (PI.f64))
b
(+ b (* -1 a))
(-.f64 b a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/ (PI) (* a b))
(/.f64 (PI.f64) (*.f64 a b))
(/ 1/2 (* (pow a 2) b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))
(/ 1/2 (* a b))
(/.f64 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (PI.f64) b) a))) (pow.f64 a #s(literal 3 binary64)))
(/ (PI) a)
(/.f64 (PI.f64) a)
(/ (PI) b)
(/.f64 (PI.f64) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (*.f64 b b))) a (/.f64 (PI.f64) b))
(* (pow a 2) b)
(*.f64 (*.f64 a a) b)
(/ -1/2 (pow a 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
(/ (- (* 1/2 (/ a b)) 1/2) (pow a 2))
(/.f64 (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) (/.f64 (PI.f64) a)) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1/2 (/ (PI) (* a b)))
(*.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (- (PI) (* -1 (PI))) a))) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)))) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (* 1/2 (/ (- (PI) (* -1 (PI))) a)))) a)
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) #s(literal -1/2 binary64)) a)) a)) a)
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (+ (* 1/2 (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3))) (* 1/2 (/ (- (PI) (* -1 (PI))) a))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b)) (*.f64 (fma.f64 b (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) #s(literal 1/2 binary64))) a)
(* -1 (PI))
(neg.f64 (PI.f64))
(- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))
(fma.f64 #s(literal -1 binary64) (PI.f64) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b)) a) (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b)) a))
(- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))
(-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (*.f64 b b) (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) b) b) a)) a))
(* -1 a)
(neg.f64 a)
(* a (- (/ b a) 1))
(*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) b (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (PI.f64)) a)) a))) a)
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) a)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) 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) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))) (neg.f64 a))) a) a)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b)))) (neg.f64 a))) (neg.f64 a))) a) a)
(* -1 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (PI)) a))) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a) (/.f64 (PI.f64) b))) a)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (PI))) (* 1/2 (/ (* b (- (* -1 (PI)) (PI))) a))) a)) (* 1/2 (/ (PI) b))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a) b))) (neg.f64 a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (- (* -1 (PI)) (PI)))) (* 1/2 (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a))) a)) (* -1/2 (- (* -1 (PI)) (PI)))) a)) (* 1/2 (/ (PI) b))) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) (*.f64 b (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a) b)))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a))
(+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))
(-.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 b (fma.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) (PI.f64))))) (neg.f64 a)) (PI.f64))
(+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) (*.f64 (*.f64 (PI.f64) (-.f64 (neg.f64 b) b)) b)) a) #s(literal -1 binary64) (*.f64 (PI.f64) (-.f64 (neg.f64 b) b))) (neg.f64 a)) (PI.f64))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) b (*.f64 b (*.f64 (/.f64 (PI.f64) a) b))) a) (PI.f64))) a)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (PI.f64) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a)) (neg.f64 a))) (neg.f64 a)) (PI.f64)) (neg.f64 a))
(* -1 (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) b (neg.f64 (PI.f64)))) a) a) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))))) b)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) b))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))) (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) a) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) b)
(/ (+ (* -1/2 (/ (PI) a)) (* b (+ (* 1/2 (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2))))) (* b (+ (* 1/2 (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3))))))))) b)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) b (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (PI.f64) a) a)) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) b)
(+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a) a) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64)))
(+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a) a)) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64)))
(- b a)
(-.f64 b a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a)
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b) (/.f64 (/.f64 (PI.f64) a) a)) b (/.f64 (PI.f64) a))
(/ (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) b)
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) #s(literal 1/2 binary64)) a) b)
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a))) b)) 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 (fma.f64 (/.f64 (PI.f64) (*.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b))) (*.f64 b b))
(/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))) b)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) (/.f64 (PI.f64) a)) b))
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (PI)) b)))) b)
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) b)) b)
(/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3))) (* 1/2 (/ (- (* -1 (PI)) (PI)) b))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 (*.f64 a a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) b)) b)
(- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))
(+.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64))) b) (PI.f64))
(- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64))) b)) (PI.f64))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a))
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (*.f64 (*.f64 (neg.f64 a) a) (PI.f64)) b)) b))) b)
(- (* 1/2 (/ 1 (* a b))) (* 1/2 (/ 1 (pow a 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ (+ (* -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) (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a)))) (neg.f64 b))) (neg.f64 b))) (*.f64 b b))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* -1/2 (/ (- (* -1 (PI)) (PI)) b))) b))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) (/.f64 (PI.f64) a)) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (- (* -1 (PI)) (PI))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a) (-.f64 (neg.f64 (PI.f64)) (PI.f64)))) (neg.f64 b))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* 1/2 (* a (- (* -1 (PI)) (PI))))) b)) (* 1/2 (- (* -1 (PI)) (PI)))) b)) (* -1/2 (/ (PI) a))) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 a (*.f64 (/.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) b) a)) (*.f64 (-.f64 (neg.f64 (PI.f64)) (PI.f64)) a))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))
(-.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) a (neg.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) b))
(+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))
(-.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)) b) (*.f64 a a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) b))) b))
(* -1 (* b (- (/ a b) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (*.f64 a (*.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64))) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (PI.f64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) (neg.f64 b)) (PI.f64)) (neg.f64 b))

rewrite255.0ms (3.2%)

Memory
-23.3MiB live, 166.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046268
071268
1249224
21888224
08341224
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 560
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a)))
(-.f64 b a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (PI.f64) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) a) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) (+.f64 b a))
(*.f64 (*.f64 b a) a)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
(*.f64 (*.f64 a a) b)
Outputs
(*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 b a) 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 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (*.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal -2 binary64) (*.f64 a b))) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)) (/.f64 (-.f64 b a) (-.f64 b a)))
(*.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a)))))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a)))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 b a))) (neg.f64 (*.f64 (+.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64)))) (neg.f64 (*.f64 (*.f64 a b) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64))) (*.f64 (*.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a))))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a (-.f64 b a))))
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (-.f64 b a))
(neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (-.f64 b a)))
(*.f64 (neg.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) b)) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 (-.f64 b a) (*.f64 #s(literal 2 binary64) b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) a))
(*.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)) (-.f64 b a))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a) (/.f64 (-.f64 b a) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a)))
(*.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)))
(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) (*.f64 #s(literal -2 binary64) (*.f64 a b))))
(*.f64 (-.f64 b a) (neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b))))
(*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64))) a)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64))) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 #s(literal 2 binary64) b))) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal -2 binary64)) (*.f64 a b)))) (+.f64 a b))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 b a) #s(literal -2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64))))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (-.f64 b a) #s(literal -2 binary64))))) (*.f64 (neg.f64 b) a))
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(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 b a) a))) (*.f64 (neg.f64 b) a))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (*.f64 (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/2 binary64) (-.f64 b a))) (*.f64 (neg.f64 a) (*.f64 (*.f64 a a) b)))
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 b a) a))) (*.f64 a b))
(/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (/.f64 (-.f64 b a) b)) a)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) a) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) a) (*.f64 (*.f64 a a) b))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 (*.f64 (*.f64 (neg.f64 b) a) a) a))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 a (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (PI.f64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (pow.f64 a #s(literal 3 binary64)) b))))
(*.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 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.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 (cosh.f64 (log.f64 (PI.f64))) a) (/.f64 (sinh.f64 (log.f64 (PI.f64))) a))
(*.f64 (/.f64 (PI.f64) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (+.f64 a b)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (+.f64 a b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (+.f64 a b))
(/.f64 (neg.f64 (PI.f64)) (+.f64 a b))
(/.f64 (PI.f64) (+.f64 a b))
(neg.f64 (/.f64 (PI.f64) (+.f64 a b)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (PI.f64))) (+.f64 a b)) (/.f64 (sinh.f64 (log.f64 (PI.f64))) (+.f64 a b)))
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(fabs.f64 (*.f64 (*.f64 (neg.f64 b) a) a))
(fabs.f64 (*.f64 (*.f64 a a) b))
(*.f64 (/.f64 (-.f64 b a) (*.f64 a a)) (/.f64 #s(literal -1/2 binary64) b))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 b a) a) b))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (/.f64 #s(literal -1/2 binary64) b) a))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) (*.f64 a b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 b a) b) (/.f64 #s(literal -1/2 binary64) (*.f64 a a)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (/.f64 (-.f64 b a) b))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) a) (/.f64 (-.f64 b a) a))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 b a) (*.f64 a a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 b a) a) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 #s(literal -1/2 binary64) a))
(*.f64 (-.f64 b a) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) b)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (-.f64 b a))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) b)) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) a)) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 a b))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 b a) a)))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b a) b)) (*.f64 a a))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) (-.f64 b a)) b)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) b) (*.f64 a a))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) a) (*.f64 a b))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 a b)) a)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 b a) a))) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 b a) a)) b)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) a))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (neg.f64 (*.f64 (*.f64 (neg.f64 b) a) a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 (neg.f64 b) a) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 b a) a) b)))
(*.f64 (*.f64 (neg.f64 b) a) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 b) a))
(*.f64 (*.f64 a a) b)
(*.f64 (*.f64 a b) a)
(*.f64 a (*.f64 a b))
(*.f64 b (*.f64 a a))
(fabs.f64 (*.f64 (*.f64 (neg.f64 b) a) a))
(fabs.f64 (*.f64 (*.f64 a a) b))

eval137.0ms (1.7%)

Memory
28.7MiB live, 175.5MiB allocated; 23ms collecting garbage
Compiler

Compiled 29 538 to 3 065 computations (89.6% saved)

prune54.0ms (0.7%)

Memory
-2.2MiB live, 88.3MiB allocated; 6ms collecting garbage
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New8008808
Fresh4812
Picked235
Done134
Total80722829
Accuracy
100.0%
Counts
829 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
70.6%
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
43.8%
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
98.8%
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
✓84.5%
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
64.2%
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
70.2%
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
67.1%
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
70.5%
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
58.9%
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
✓55.8%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
62.5%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
✓62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
✓56.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
58.7%
#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)))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
✓62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
✓49.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.f64 (*.f64 a a) b))))
56.0%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
62.6%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
Compiler

Compiled 2 064 to 682 computations (67% saved)

regimes71.0ms (0.9%)

Memory
-18.3MiB live, 81.5MiB allocated; 9ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 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 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#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 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.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 a b) (-.f64 b a)) (*.f64 (+.f64 a b) (*.f64 a b))) (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) a) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) a) b)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) (*.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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(*.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 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (*.f64 a b))))
Outputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
Calls

3 calls:

35.0ms
(*.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)))
21.0ms
b
13.0ms
a
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)

regimes41.0ms (0.5%)

Memory
8.6MiB live, 55.9MiB allocated; 1ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 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 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#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)))
Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

3 calls:

21.0ms
a
9.0ms
b
8.0ms
(*.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)

regimes59.0ms (0.7%)

Memory
-10.4MiB live, 36.4MiB allocated; 2ms collecting garbage
Counts
33 → 5
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 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 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.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 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
Calls

3 calls:

40.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
9.0ms
a
9.0ms
b
Results
AccuracySegmentsBranch
92.8%3(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
97.4%5a
97.1%5b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes18.0ms (0.2%)

Memory
34.8MiB live, 34.8MiB allocated; 0ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 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 #s(literal 1/2 binary64) b) a) a) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) a) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) a))
(/.f64 #s(approx (* (/ (/ (- b a) a) b) (PI)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 #s(approx (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (PI.f64) (-.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b a)) (*.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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) b (*.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) a)) (*.f64 (*.f64 a b) a)))
(/.f64 (*.f64 (PI.f64) (/.f64 (-.f64 b a) (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
(/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
Calls

2 calls:

8.0ms
b
8.0ms
a
Results
AccuracySegmentsBranch
92.9%3b
91.5%3a
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
-34.4MiB live, 17.4MiB allocated; 5ms collecting garbage
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (*.f64 b a)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
79.2%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)))
92.5%3b
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
92.5%3b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
Outputs
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
92.3%3b
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (- b a) (/ (PI) (+ b a))) (* 2 (* b a))) (- b a)) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 b) a) a)) (PI.f64)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
Calls

2 calls:

3.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
82.9%3a
81.8%3b
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes35.0ms (0.4%)

Memory
-32.0MiB live, 13.3MiB allocated; 3ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
Calls

3 calls:

32.0ms
b
2.0ms
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
62.6%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)))
62.6%1b
62.6%1a
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a 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
56.1%1a
56.1%1(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
56.1%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes3.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
a
1.0ms
b
1.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
56.0%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)))
56.0%1a
56.0%1b
Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch505.0ms (6.4%)

Memory
-126.8MiB live, 114.6MiB allocated; 919ms collecting garbage
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
14.0ms
1.1455651015746864e+43
1.3461710742035739e+45
47.0ms
6.540499187198344e-127
5.642211914197437e-115
43.0ms
-1.2113343834819706e-63
-2.293517950191437e-71
4.0ms
-7.206120999316437e+96
-1.0862215824833552e+92
Samples
90.0ms448×0valid
Compiler

Compiled 1 272 to 895 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 38.0ms (68.8% of total)
ival-div: 11.0ms (19.9% of total)
ival-sub: 4.0ms (7.2% of total)
ival-pi: 2.0ms (3.6% 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)

bsearch30.0ms (0.4%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.1501437541078785e-23
4.434477196432023e-22
12.0ms
-1.4839283079547624e-70
-2.731750345040912e-71
Samples
17.0ms208×0valid
Compiler

Compiled 700 to 527 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (39.3% of total)
ival-mult: 5.0ms (39.3% of total)
ival-sub: 2.0ms (15.7% of total)
ival-pi: 1.0ms (7.9% 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)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.1501437541078785e-23
4.434477196432023e-22
1.0ms
-1.4839283079547624e-70
-2.731750345040912e-71
Compiler

Compiled 700 to 527 computations (24.7% saved)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.1501437541078785e-23
4.434477196432023e-22
1.0ms
-1.4839283079547624e-70
-2.731750345040912e-71
Compiler

Compiled 700 to 527 computations (24.7% saved)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.1501437541078785e-23
4.434477196432023e-22
1.0ms
-1.4839283079547624e-70
-2.731750345040912e-71
Compiler

Compiled 700 to 527 computations (24.7% saved)

bsearch79.0ms (1%)

Memory
-25.6MiB live, 44.2MiB allocated; 9ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
62.0ms
1.229105017120611e+24
1.973575038563996e+41
12.0ms
-108809798420585540.0
-11679107772269426.0
Samples
64.0ms256×0valid
Compiler

Compiled 984 to 708 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-pi: 43.0ms (74.3% of total)
ival-div: 6.0ms (10.4% of total)
ival-mult: 6.0ms (10.4% of total)
ival-sub: 2.0ms (3.5% 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)

simplify59.0ms (0.7%)

Memory
-5.3MiB live, 40.6MiB allocated; 8ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0117583
1186563
2400547
31265467
46998467
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b))) (if (<=.f64 a #s(literal -2807763633294999/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 3048582568667961/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 1320000000000000053059440538633308782429470720 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.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 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a)) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))) (/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -92000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))) (if (<=.f64 a #s(literal 26000000000000001994743873536 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
Outputs
(/.f64 (/.f64 (*.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 b a))) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b))) (if (<=.f64 a #s(literal -2807763633294999/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 3048582568667961/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 1320000000000000053059440538633308782429470720 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.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 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))))))
(if (<=.f64 a #s(literal -20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (*.f64 a b))) (if (<=.f64 a #s(literal -2807763633294999/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 3048582568667961/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) (if (<=.f64 a #s(literal 1320000000000000053059440538633308782429470720 binary64)) (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 #s(literal 2 binary64) (*.f64 a b))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64)))))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a)) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))) (/.f64 (/.f64 #s(approx (* (- b a) (/ (PI) (+ b a))) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a))))
(if (or (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (not (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)))) (/.f64 (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 #s(literal 2 binary64) (*.f64 b a))) (-.f64 b a)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (or (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (not (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b)) (PI.f64))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (or (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (not (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))))
(if (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64))))))
(if (or (<=.f64 b #s(literal -3978585891278293/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (not (<=.f64 b #s(literal 8677200356483931/340282366920938463463374607431768211456 binary64)))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (*.f64 (-.f64 b a) (*.f64 (*.f64 a b) #s(literal 2 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))))
(if (<=.f64 a #s(literal -92000000000000000 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))) (if (<=.f64 a #s(literal 26000000000000001994743873536 binary64)) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))))
(if (or (<=.f64 a #s(literal -92000000000000000 binary64)) (not (<=.f64 a #s(literal 26000000000000001994743873536 binary64)))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a))) #s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 b a) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 a a) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (* 2 (+ a b))) (/ (PI) (- b a))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b)) (PI.f64)))

derivations1.3s (16.2%)

Memory
-1.1MiB live, 947.7MiB allocated; 125ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05322080
117631828
265831793
090611726
01554
02654
111250
298050
0891250
04001575
113121398
248571338
084281287
046268
071268
1249224
21888224
08341224
02911145
19051099
235331055
085221011
045259
070259
1262247
22010247
08264247
045231
071231
1281227
22529227
09127227
06022413
119922055
082711964
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 563 to 102 computations (81.9% saved)

preprocess116.0ms (1.5%)

Memory
-0.5MiB live, 150.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 1 168 to 234 computations (80% saved)

end0.0ms (0%)

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

Profiling

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