NMSE Section 6.1 mentioned, B

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze140.0ms (3.3%)

Memory
-1.2MiB live, 143.1MiB allocated; 41ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
12.5%12.5%87.4%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
46.9%46.8%53.1%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
71.1%71%28.9%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
85%84.9%15%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.6s (38.5%)

Memory
74.5MiB live, 1 337.6MiB allocated; 203ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 621.0ms (61.9% of total)
ival-div: 252.0ms (25.1% of total)
ival-sub: 74.0ms (7.4% of total)
ival-pi: 41.0ms (4.1% of total)
exact: 10.0ms (1% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain233.0ms (5.5%)

Memory
-43.6MiB live, 191.2MiB allocated; 61ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
371(-8.020026585184923e-26 -2.3398836416779573e+174)0-(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
150-0-(-.f64 (*.f64 b b) (*.f64 a a))
20-0-(/.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*u380
-.f64(-.f64 (*.f64 b b) (*.f64 a a))nan-rescue150
(*.f64 b b)overflow67
(*.f64 a a)overflow64
/.f64(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))n/o20
(*.f64 b b)overflow67
(*.f64 a a)overflow64
(-.f64 (*.f64 b b) (*.f64 a a))overflow116
Confusion
Predicted +Predicted -
+527
-3194
Precision
0.9454545454545454
Recall
0.8813559322033898
Confusion?
Predicted +Predicted MaybePredicted -
+5207
-30194
Precision?
0.9454545454545454
Recall?
0.8813559322033898
Freqs
test
numberfreq
0201
155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
119.0ms512×0valid
Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-sub: 67.0ms (69.4% of total)
ival-div: 14.0ms (14.5% of total)
ival-mult: 12.0ms (12.4% of total)
ival-pi: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess256.0ms (6%)

Memory
-18.3MiB live, 170.8MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038132
1125116
2451114
32223114
46358114
01521
02621
15019
214719
362119
4416419
0832119
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))
Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series17.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
15 → 63
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
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole 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))))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* 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))))))))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ -1 (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* (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)))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole 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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
Calls

6 calls:

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

rewrite238.0ms (5.6%)

Memory
-20.3MiB live, 167.7MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03832160
03982079
122472067
083942019
Stop Event
iter limit
node limit
iter limit
Counts
78 → 185
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)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole 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))))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* 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))))))))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ -1 (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* (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)))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole 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))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) #s(hole binary64 (/ (+ (* 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))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -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
(*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (*.f64 (PI.f64) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (*.f64 (PI.f64) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 a b)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (*.f64 a b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64))) (*.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 b a) (-.f64 b a))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(-.f64 (*.f64 b b) (*.f64 a a))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
b
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64)))) (neg.f64 (*.f64 a b)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 a b))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a b)) (/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a b)))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 1 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 3 binary64)))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 b b)) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (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 4 binary64))) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 a a))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64)))))) (*.f64 a a) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1/2 binary64))) (*.f64 a a))))
#s(approx (/ 1 (- (* b b) (* a a))) (pow.f64 b #s(literal -2 binary64)))
#s(approx (/ 1 (- (* b b) (* a a))) (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -2 binary64))))
#s(approx (/ 1 (- (* b b) (* a a))) (fma.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal -4 binary64))) (*.f64 a a) (pow.f64 b #s(literal -2 binary64))))
#s(approx (/ 1 (- (* b b) (* a a))) (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal -6 binary64))) (*.f64 a a) (pow.f64 b #s(literal -4 binary64))) (*.f64 a a) (pow.f64 b #s(literal -2 binary64))))
#s(approx (- (* b b) (* a a)) (*.f64 b b))
#s(approx (- (* b b) (* a a)) (fma.f64 b b (neg.f64 (*.f64 a a))))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (/ 1 a) (/ 1 b)) (pow.f64 a #s(literal -1 binary64)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (/ 1 a) (pow.f64 a #s(literal -1 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 b a) (/.f64 (PI.f64) a))))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (*.f64 (/.f64 b a) (/.f64 (PI.f64) a)))))) (*.f64 a a)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (+.f64 (PI.f64) (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a))) a)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 a a)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (*.f64 (/.f64 (*.f64 b b) a) (/.f64 (PI.f64) a))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))))))) (*.f64 a a)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 a a)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 a a)))
#s(approx (- (* b b) (* a a)) (neg.f64 (*.f64 a a)))
#s(approx (- (* b b) (* a a)) (*.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (/ 1 a) (/ 1 b)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) a) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal 1/2 binary64))) a))) a))) (*.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 3 binary64)))) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) b)) (pow.f64 a #s(literal 5 binary64)))) b (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))))) (*.f64 b b))))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (PI.f64) a) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64)))))) (*.f64 b b) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/2 binary64))) (*.f64 b b))))
#s(approx (/ 1 (- (* b b) (* a a))) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -2 binary64))))
#s(approx (/ 1 (- (* b b) (* a a))) (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal -4 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))
#s(approx (/ 1 (- (* b b) (* a a))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (pow.f64 a #s(literal -6 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -4 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))
#s(approx (- (* b b) (* a a)) (*.f64 (+.f64 b a) (-.f64 b a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (/ 1 b) (pow.f64 b #s(literal -1 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 (PI.f64) (*.f64 b b)))) (*.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (*.f64 a (/.f64 (PI.f64) (*.f64 b b))))))) (*.f64 b b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (PI.f64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b))) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (PI.f64) b))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))))))) (*.f64 b b)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 b b)))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 2 binary64))))) (*.f64 b b)))
#s(approx (- (* b b) (* a a)) (*.f64 (fma.f64 (pow.f64 (neg.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b))) (*.f64 b b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal 1/2 binary64))) b))) b))) (*.f64 b b)))

eval23.0ms (0.5%)

Memory
0.8MiB live, 45.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 774 to 936 computations (83.8% saved)

prune302.0ms (7.1%)

Memory
11.0MiB live, 341.5MiB allocated; 37ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1887195
Fresh000
Picked101
Done000
Total1897196
Accuracy
87.1%
Counts
196 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
86.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
86.9%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
86.8%
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
78.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 a (neg.f64 b))))
86.7%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
56.1%
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 346 to 246 computations (28.9% saved)

series24.0ms (0.6%)

Memory
1.6MiB live, 48.3MiB allocated; 2ms collecting garbage
Counts
15 → 94
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 b a)
b
a
(-.f64 b a)
#s(literal -1 binary64)
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
Outputs
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* a (pow b 2)))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* a (- (* a (- (/ 1 (pow b 4)) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (/ 1 (pow b 5)) (/ (* (+ b (* -1 b)) (- (/ 1 (pow b 4)) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (pow b 2))))) (/ 1 (pow b 4))) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* a (+ b (* -1 b))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ 1 a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* (pow a 2) b))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 b) (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b)))) (pow a 2))) (/ 1 b)) (+ (* -1 (/ (+ b (* -1 b)) (* a b))) (/ 1 a))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* -1 b) (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b))))) (* (pow b 2) (+ 1 (* -1 (/ (+ b (* -1 b)) b))))) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (+ (* -1 (/ (+ b (* -1 b)) (* a b))) (+ (/ 1 a) (/ (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b))) (pow a 2)))))) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ -1 (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ b (* -1 b)) a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ 1 (+ (* -1 (/ b a)) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ -1 b)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- 1 (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ b a)) (* -1 (/ (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b)))) a)))) (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (- 1 (* -1 (/ (+ b (* -1 b)) b)))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 b) (* -1 (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b))))))) a)) (+ (* -1 b) (* -1 (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b))))))) a))) (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ (* -1 (/ b a)) (/ b a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (- (+ (/ (pow b 2) a) (/ (pow (+ b (* -1 b)) 2) a)) (+ b (* -1 b))) a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a) (/ (* (pow b 2) (+ b (* -1 b))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)) (+ b (* -1 b))) a)) 1) (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (* b (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* b (- (* b (- (/ 1 (pow a 4)) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ 1 (pow a 4)) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (pow a 2))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 6))) (/ 1 (pow a 5)))))) (/ 1 (pow a 4))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* (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)))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (pow b -1) #s(hole binary64 (/ 1 b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (/ 1 a) (/ 1 b)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 a) (* -1 (+ a (* -1 a)))) (pow b 2))) (/ 1 a)) (/ 1 b)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 a) (* -1 (+ a (* -1 a)))))) (pow a 2)) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (+ a (* -1 a)) (pow b 2))) (/ 1 b)))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ a (* -1 a)) b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (+ (* -1 (/ a b)) (/ a b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (/ a b))))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 a) (* 2 a)) b))) b)) (/ 1 a)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* -1 a) (* 2 a))) (pow a 2)) b)) (* 2 a))) b))) b)) (/ 1 a)) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow (+ a (* -1 a)) 2) b))) (* -1 (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (* -1 (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Calls

6 calls:

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

rewrite263.0ms (6.2%)

Memory
22.7MiB live, 287.5MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07034459
07173822
147863822
081913729
Stop Event
iter limit
node limit
iter limit
Counts
109 → 152
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64))
(*.f64 (+.f64 b a) (-.f64 b a))
(+.f64 b a)
b
a
(-.f64 b a)
#s(literal -1 binary64)
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* a (pow b 2)))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* a (- (* a (- (/ 1 (pow b 4)) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* a (- (* a (- (+ (* -1 (* a (+ (/ 1 (pow b 5)) (/ (* (+ b (* -1 b)) (- (/ 1 (pow b 4)) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (pow b 2))))) (/ 1 (pow b 4))) (* -1 (/ (+ b (* -1 b)) (pow b 5))))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* a (+ b (* -1 b))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ 1 a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* (pow a 2) b))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 b) (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b)))) (pow a 2))) (/ 1 b)) (+ (* -1 (/ (+ b (* -1 b)) (* a b))) (/ 1 a))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* -1 b) (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b))))) (* (pow b 2) (+ 1 (* -1 (/ (+ b (* -1 b)) b))))) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (+ (* -1 (/ (+ b (* -1 b)) (* a b))) (+ (/ 1 a) (/ (* (+ 1 (* -1 (/ (+ b (* -1 b)) b))) (+ b (* -1 b))) (pow a 2)))))) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ -1 (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ b (* -1 b)) a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ (pow b 2) (pow (+ b (* -1 b)) 2)) (pow a 2))) (+ 1 (+ (* -1 (/ b a)) (/ b a)))) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3))) (+ 1 (+ (* -1 (/ b a)) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ -1 b)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- 1 (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ b a)) (* -1 (/ (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b)))) a)))) (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (- 1 (* -1 (/ (+ b (* -1 b)) b)))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 b) (* -1 (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b))))))) a)) (+ (* -1 b) (* -1 (* (+ b (* -1 b)) (- 1 (* -1 (/ (+ b (* -1 b)) b))))))) a))) (* -1 (/ (+ b (* -1 b)) b))) a)) (/ 1 b)) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ (* -1 (/ b a)) (/ b a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (- (+ (/ (pow b 2) a) (/ (pow (+ b (* -1 b)) 2) a)) (+ b (* -1 b))) a)) 1) (pow a 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a) (/ (* (pow b 2) (+ b (* -1 b))) a)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) a)) (+ b (* -1 b))) a)) 1) (pow a 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (* b (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* b (- (* b (- (/ 1 (pow a 4)) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (+ a (* -1 a)) (- (/ 1 (pow a 4)) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (pow a 2))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 6))) (/ 1 (pow a 5)))))) (/ 1 (pow a 4))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3)))) (pow a 2)))) (+ (* -1 (/ (+ a (* -1 a)) (pow a 4))) (/ 1 (pow a 3))))) (/ 1 (pow a 2))) b)))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (- (* (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)))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (pow b -1) #s(hole binary64 (/ 1 b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (/ 1 a) (/ 1 b)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 a) (* -1 (+ a (* -1 a)))) (pow b 2))) (/ 1 a)) (/ 1 b)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 a) (* -1 (+ a (* -1 a)))))) (pow a 2)) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (+ (* -1 (/ (+ a (* -1 a)) (pow b 2))) (/ 1 b)))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ a (* -1 a)) b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))) (pow b 2)))) (+ (* -1 (/ a b)) (/ a b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2))))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3)))) (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow (+ a (* -1 a)) 2) (pow b 2))) (/ a b))))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 a) (* 2 a)) b))) b)) (/ 1 a)) (pow b 2))))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* -1 a) (* 2 a))) (pow a 2)) b)) (* 2 a))) b))) b)) (/ 1 a)) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow (+ a (* -1 a)) 2) b))) (* -1 (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (pow (* (+ b a) (- b a)) -1) #s(hole binary64 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (/ (* (+ a (* -1 a)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (+ (* -1 (pow a 2)) (* -1 (pow (+ a (* -1 a)) 2)))) b)) (* -1 (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (+ b a) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (*.f64 (-.f64 b a) (+.f64 a b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 b a) (+.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 a b)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 a b))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 a b))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 a b))) #s(literal -1 binary64))))
(*.f64 (-.f64 b a) (+.f64 a b))
(*.f64 (+.f64 a b) (-.f64 b a))
(-.f64 (*.f64 b b) (*.f64 a a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 a b))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (-.f64 b a))
(+.f64 a b)
(+.f64 b a)
b
a
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 a a (*.f64 a b))))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (+.f64 a b))
(-.f64 b a)
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 a b))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (PI.f64) (*.f64 b b)))) a))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)))) a (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal -1 binary64)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 b #s(literal -2 binary64))) a))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (pow.f64 b #s(literal -4 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 5 binary64))))) a) (pow.f64 b #s(literal -3 binary64))) a (pow.f64 b #s(literal -2 binary64))) a))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (pow.f64 b #s(literal -4 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 5 binary64))))) (*.f64 b b)) (pow.f64 b #s(literal -5 binary64))) (-.f64 (pow.f64 b #s(literal -4 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 5 binary64)))))) a) (pow.f64 b #s(literal -3 binary64))) a (pow.f64 b #s(literal -2 binary64))) a))
#s(approx (pow (* (+ b a) (- b a)) -1) (pow.f64 b #s(literal -2 binary64)))
#s(approx (pow (* (+ b a) (- b a)) -1) (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -2 binary64))))
#s(approx (pow (* (+ b a) (- b a)) -1) (fma.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal -4 binary64))) (*.f64 a a) (pow.f64 b #s(literal -2 binary64))))
#s(approx (pow (* (+ b a) (- b a)) -1) (fma.f64 (fma.f64 (+.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal -6 binary64))) (*.f64 a a) (pow.f64 b #s(literal -4 binary64))) (*.f64 a a) (pow.f64 b #s(literal -2 binary64))))
#s(approx (* (+ b a) (- b a)) (*.f64 b b))
#s(approx (* (+ b a) (- b a)) (fma.f64 (*.f64 #s(literal 0 binary64) b) a (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 a b) b) a (*.f64 b b)))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx a a)
#s(approx (- b a) b)
#s(approx (- b a) (fma.f64 #s(literal -1 binary64) a b))
#s(approx (- (pow a -1) (pow b -1)) (pow.f64 a #s(literal -1 binary64)))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (pow a -1) (pow.f64 a #s(literal -1 binary64)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a))) (*.f64 a a)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a)))) (*.f64 a a)))
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#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (pow.f64 a #s(literal -2 binary64)) b))
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#s(approx (* (+ b a) (- b a)) (neg.f64 (*.f64 a a)))
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#s(approx (* (+ b a) (- b a)) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) (/.f64 (*.f64 b b) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ b a) a)
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (pow a -1) (pow b -1)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
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#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b))) (neg.f64 b)) a) (neg.f64 (*.f64 (*.f64 b b) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b))) a)))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b))) (neg.f64 b))) a) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 0 binary64) b) b))) a) #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) (*.f64 a a)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 1 binary64)) (*.f64 a a)))
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#s(approx (* (+ b a) (- b a)) (*.f64 (-.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 b a))) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (* (+ b a) (- b a)) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) b (neg.f64 (/.f64 (*.f64 b b) a))) a)) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (- b a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (PI.f64) (*.f64 a a)))) b))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)))) b (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))))) b (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -3 binary64))) (pow.f64 a #s(literal -2 binary64))) b))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -3 binary64))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a))) b) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -3 binary64)))) b (pow.f64 a #s(literal -2 binary64))) b))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -3 binary64))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -5 binary64)))) (-.f64 (pow.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 a #s(literal -3 binary64))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)))) b) (/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -3 binary64))) b (pow.f64 a #s(literal -2 binary64))) b))
#s(approx (pow (* (+ b a) (- b a)) -1) (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -2 binary64))))
#s(approx (pow (* (+ b a) (- b a)) -1) (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64)))) (pow.f64 a #s(literal -4 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))
#s(approx (pow (* (+ b a) (- b a)) -1) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (pow.f64 a #s(literal -6 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -4 binary64))) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))))
#s(approx (* (+ b a) (- b a)) (fma.f64 (*.f64 #s(literal 0 binary64) a) b (neg.f64 (*.f64 a a))))
#s(approx (* (+ b a) (- b a)) (fma.f64 (+.f64 (fma.f64 #s(literal -1 binary64) a b) a) b (neg.f64 (*.f64 a a))))
#s(approx b b)
#s(approx (- b a) (-.f64 b a))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (pow b -1) (pow.f64 b #s(literal -1 binary64)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b))) (*.f64 b b)))
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#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 a (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (pow.f64 b #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1 binary64) (+.f64 a (*.f64 #s(literal 0 binary64) a))) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 a (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))))) (*.f64 b b)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 b b)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 a b))) (*.f64 b b)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (*.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 (*.f64 #s(literal 0 binary64) a) (*.f64 a a))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 b b)) (/.f64 a b)))) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 (+.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (/.f64 a b))) (*.f64 b b)))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (- b a) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) b))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (PI.f64) a)) b))) b))) (*.f64 b b)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (PI.f64) a)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 0 binary64) a)) (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 (PI.f64) a)) #s(literal 1/2 binary64))) b))) b))) (*.f64 b b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a #s(literal 1 binary64)) b) #s(literal -1 binary64) #s(literal 1 binary64)) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) a (fma.f64 a #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) a) (*.f64 a a)) b)))) b) #s(literal -1 binary64) #s(literal 1 binary64)) b) #s(literal -1 binary64) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) b) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a a) b))) (neg.f64 (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (pow (* (+ b a) (- b a)) -1) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) (*.f64 a a)))) b) (neg.f64 (*.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (/.f64 a b))))) (*.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) (*.f64 a a))))) b) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (+ b a) (- b a)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) #s(literal -1 binary64) (/.f64 (*.f64 a a) b)) b) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))

eval23.0ms (0.5%)

Memory
-9.6MiB live, 36.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 167 to 979 computations (84.1% saved)

prune167.0ms (3.9%)

Memory
39.0MiB live, 216.3MiB allocated; 25ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh156
Picked011
Done000
Total1627169
Accuracy
87.1%
Counts
169 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
86.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
86.9%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
86.8%
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
78.2%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 a (neg.f64 b))))
86.7%
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
56.1%
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 325 to 231 computations (28.9% saved)

series18.0ms (0.4%)

Memory
-28.3MiB live, 18.9MiB allocated; 4ms collecting garbage
Counts
15 → 102
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (-.f64 b a))
#s(literal 1 binary64)
(-.f64 b a)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
Outputs
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ 1 b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (/ 1 b) (/ a (pow b 2)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (* a (+ (* a (+ (/ 1 (pow b 3)) (/ a (pow b 4)))) (/ 1 (pow b 2)))) (/ 1 b))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ -1 a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ b a)) 1) a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) (+ 1 (/ b a))) a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ (pow b 3) (pow a 3))) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2))))) a)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (/ b a)) a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) a))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* b (- (* b (- (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (+ 1 (/ a b)) b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ a b))) b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (+ 1 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (* -1 (/ (pow a 2) (pow b 2))))) b)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1) b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1) b))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
((* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/ (/ (PI) 2) (+ b a)) (/ (PI) 2) (PI) 2 (+ b a) b a (/ 1 (- b a)) 1 (- b a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
2.0ms
a
@0
((* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/ (/ (PI) 2) (+ b a)) (/ (PI) 2) (PI) 2 (+ b a) b a (/ 1 (- b a)) 1 (- b a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
2.0ms
b
@0
((* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/ (/ (PI) 2) (+ b a)) (/ (PI) 2) (PI) 2 (+ b a) b a (/ 1 (- b a)) 1 (- b a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
2.0ms
a
@inf
((* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/ (/ (PI) 2) (+ b a)) (/ (PI) 2) (PI) 2 (+ b a) b a (/ 1 (- b a)) 1 (- b a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
2.0ms
b
@inf
((* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/ (/ (PI) 2) (+ b a)) (/ (PI) 2) (PI) 2 (+ b a) b a (/ 1 (- b a)) 1 (- b a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))

rewrite236.0ms (5.6%)

Memory
2.7MiB live, 191.5MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07184365
07323909
146163909
084773774
Stop Event
iter limit
node limit
iter limit
Counts
117 → 146
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 b a)
b
a
(/.f64 #s(literal 1 binary64) (-.f64 b a))
#s(literal 1 binary64)
(-.f64 b a)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ 1 b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (/ 1 b) (/ a (pow b 2)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (+ (* a (+ (* a (+ (/ 1 (pow b 3)) (/ a (pow b 4)))) (/ 1 (pow b 2)))) (/ 1 b))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ -1 a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ b a)) 1) a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) (+ 1 (/ b a))) a)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (* -1 (/ (pow b 3) (pow a 3))) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2))))) a)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (/ b a)) a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) a))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (- (* b (- (* b (- (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (+ 1 (/ a b)) b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ a b))) b)))
#s(approx (/ 1 (- b a)) #s(hole binary64 (/ (- (+ 1 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (* -1 (/ (pow a 2) (pow b 2))))) b)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))))
#s(approx (/ (/ (PI) 2) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1) b))))
#s(approx (/ 1 (- b a)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1) b))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Outputs
(*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))))
(*.f64 (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (+.f64 a b))
(/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (-.f64 b a))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 a b)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (-.f64 b a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 a a) (*.f64 b a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 a b))))
(+.f64 a b)
(+.f64 b a)
b
a
(pow.f64 (-.f64 b a) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 b a))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 a b))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 a a (*.f64 b a))))
(-.f64 b a)
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 a b))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 #s(literal 1 binary64) a)
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (PI.f64) (*.f64 b b)))) a))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)))) a (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64))))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) b) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) b)) (*.f64 b b)))) a (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64))) (pow.f64 b #s(literal 4 binary64)))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx a a)
#s(approx (/ 1 (- b a)) (pow.f64 b #s(literal -1 binary64)))
#s(approx (/ 1 (- b a)) (+.f64 (/.f64 a (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ 1 (- b a)) (fma.f64 (+.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (/ 1 (- b a)) (fma.f64 (fma.f64 (+.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a (pow.f64 b #s(literal -2 binary64))) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (- b a) b)
#s(approx (- b a) (fma.f64 #s(literal -1 binary64) a b))
#s(approx (- (/ 1 a) (/ 1 b)) (pow.f64 a #s(literal -1 binary64)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (/ 1 a) (pow.f64 a #s(literal -1 binary64)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a))) (*.f64 a a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a)))) (*.f64 a a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 0 binary64) b))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a))))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) b) a) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) (*.f64 a a))) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) (*.f64 a a)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (*.f64 b b) (PI.f64)) (*.f64 #s(literal 0 binary64) b))) (pow.f64 a #s(literal 3 binary64)))))) (*.f64 a a)))
#s(approx (/ (/ (PI) 2) (+ b a)) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)))) (*.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64))) a))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64))) (pow.f64 a #s(literal 3 binary64))))) a))
#s(approx (+ b a) a)
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (/ 1 (- b a)) (/.f64 #s(literal -1 binary64) a))
#s(approx (/ 1 (- b a)) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (/ 1 (- b a)) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) a))
#s(approx (/ 1 (- b a)) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)))) a))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (/ 1 a) (/ 1 b)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) a))) a))) (*.f64 a a)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 0 binary64) b))) a) #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) #s(literal -1/2 binary64))) a))) a))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) a) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)))) a))) (*.f64 a a)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (*.f64 #s(literal 0 binary64) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) (*.f64 #s(literal 0 binary64) b) (*.f64 (*.f64 (*.f64 b b) (PI.f64)) (*.f64 #s(literal 0 binary64) b))) a) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (PI.f64) (*.f64 (*.f64 b b) (PI.f64))) #s(literal -1/2 binary64))) a))) a))) (*.f64 a a)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) a))) a)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b b) (PI.f64)) #s(literal -1/2 binary64))) a))) a))) a)))
#s(approx (+ b a) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) a)))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (neg.f64 (*.f64 b b))) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) a)))
#s(approx (- b a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (PI.f64) (*.f64 a a)))) b))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)))) b (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))))) b (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) (pow.f64 a #s(literal 4 binary64))))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) b (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) a) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a))) b (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) b (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64))) (pow.f64 a #s(literal 4 binary64)))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (*.f64 b (/.f64 (PI.f64) (*.f64 a a))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx (/ (/ (PI) 2) (+ b a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx b b)
#s(approx (/ 1 (- b a)) (-.f64 (/.f64 (neg.f64 b) (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
#s(approx (/ 1 (- b a)) (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b) (pow.f64 a #s(literal -1 binary64))))
#s(approx (/ 1 (- b a)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b) (pow.f64 a #s(literal -2 binary64))) b) (pow.f64 a #s(literal -1 binary64))))
#s(approx (- b a) (-.f64 b a))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (/ 1 b) (pow.f64 b #s(literal -1 binary64)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b))) (*.f64 b b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b)))) (*.f64 b b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 a a)))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b))))) (*.f64 b b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64)))) (*.f64 b b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 b b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) b) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64)))) (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) (PI.f64)) (*.f64 #s(literal 0 binary64) a) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64)))) (*.f64 #s(literal 0 binary64) a)))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 b b)))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) (*.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64))) b))
#s(approx (/ (/ (PI) 2) (+ b a)) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64))) (pow.f64 b #s(literal 3 binary64))))) b))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (- b a)) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (/ 1 (- b a)) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) b))
#s(approx (/ 1 (- b a)) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (neg.f64 a) b))) b))
#s(approx (- b a) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) b))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (/.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) b))) b))) (*.f64 b b)))
#s(approx (* (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) (*.f64 #s(literal 0 binary64) a) (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 a a)))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) #s(literal 1/2 binary64))) b))) b))) (*.f64 b b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) b) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64))) b))) (*.f64 b b)))
#s(approx (* (/ (/ (PI) 2) (+ b a)) (/ 1 (- b a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) (*.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) (*.f64 #s(literal 0 binary64) a))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 a a)) (PI.f64) (*.f64 (*.f64 a a) (PI.f64))) #s(literal 1/2 binary64))) b))) b))) (*.f64 b b)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64))) b))) b)))
#s(approx (/ (/ (PI) 2) (+ b a)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) #s(literal -1/2 binary64))) b))) b))) b)))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) (neg.f64 a)) b)) #s(literal 1 binary64)) b)))
#s(approx (/ 1 (- b a)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) b) (*.f64 a a)) b) a)) b)) #s(literal 1 binary64)) b)))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))

eval18.0ms (0.4%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 119 to 926 computations (84.9% saved)

prune153.0ms (3.6%)

Memory
-24.8MiB live, 123.0MiB allocated; 15ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1542156
Fresh235
Picked101
Done011
Total1576163
Accuracy
99.9%
Counts
163 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
86.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
86.9%
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
86.9%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
56.1%
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
Compiler

Compiled 267 to 189 computations (29.2% saved)

series11.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
15 → 91
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(PI.f64)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
a
b
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(pow.f64 (-.f64 b a) #s(literal -1 binary64))
(-.f64 b a)
#s(literal -1 binary64)
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
Outputs
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* 2 b)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (+ (* 2 a) (* 2 b))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (* (pow (- b a) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* a b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (/ 1 b) (/ a (pow b 2)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (* a (+ (* a (+ (/ 1 (pow b 3)) (/ a (pow b 4)))) (/ 1 (pow b 2)))) (/ 1 b))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ 1 a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* 2 a)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* a (+ 2 (* 2 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ -1 a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ b a)) 1) a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) (+ 1 (/ b a))) a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ (pow b 3) (pow a 3))) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2))))) a)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ -1 b)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* -1 (* a (- (* -2 (/ b a)) 2)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (/ b a)) a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) a))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* b (- (* b (- (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (pow b -1) #s(hole binary64 (/ 1 b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* b (+ 2 (* 2 (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (+ 1 (/ a b)) b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ a b))) b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (+ 1 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (* -1 (/ (pow a 2) (pow b 2))))) b)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* -1 (* b (- (* -2 (/ a b)) 2)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1) b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1) b))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Calls

6 calls:

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

rewrite184.0ms (4.3%)

Memory
15.8MiB live, 158.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05873302
06032974
135762974
081962889
Stop Event
iter limit
node limit
iter limit
Counts
106 → 168
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(PI.f64)
(*.f64 #s(literal 2 binary64) (+.f64 a b))
#s(literal 2 binary64)
(+.f64 a b)
a
b
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(pow.f64 (-.f64 b a) #s(literal -1 binary64))
(-.f64 b a)
#s(literal -1 binary64)
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(pow.f64 a #s(literal -1 binary64))
(pow.f64 b #s(literal -1 binary64))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2)))) (pow b 2))) (* -1 (/ (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))))))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* 2 b)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (+ (* 2 a) (* 2 b))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (* (pow (- b a) -1) (- (pow a -1) (pow b -1))) #s(hole binary64 (/ 1 (* a b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ 1 b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (/ 1 b) (/ a (pow b 2)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (+ (* a (+ (* a (+ (/ 1 (pow b 3)) (/ a (pow b 4)))) (/ 1 (pow b 2)))) (/ 1 b))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ 1 a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (pow a -1) #s(hole binary64 (/ 1 a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow b 2) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (- (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a))))) (pow a 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* 2 a)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* a (+ 2 (* 2 (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ -1 a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ b a)) 1) a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ (pow b 2) (pow a 2))) (+ 1 (/ b a))) a)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (* -1 (/ (pow b 3) (pow a 3))) (+ 1 (+ (/ b a) (/ (pow b 2) (pow a 2))))) a)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ -1 b)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* -1 (* a (- (* -2 (/ b a)) 2)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (/ b a)) a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) b) a))) a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (* -1 (pow b 2))) a)) b) a))) a))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))) (pow a 2))) (/ (* (+ a (* -1 a)) (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2))))) (pow a 2))))) (* -1/2 (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))))))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))))
#s(approx b #s(hole binary64 b))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (pow (- b a) -1) #s(hole binary64 (- (* b (- (* b (- (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- (pow a -1) (pow b -1)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (pow b -1) #s(hole binary64 (/ 1 b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* b (+ 2 (* 2 (/ a b))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (+ 1 (/ a b)) b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (* -1 (/ a b))) b)))
#s(approx (pow (- b a) -1) #s(hole binary64 (/ (- (+ 1 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (* -1 (/ (pow a 2) (pow b 2))))) b)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))))
#s(approx (/ (PI) (* 2 (+ a b))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))))
#s(approx (* 2 (+ a b)) #s(hole binary64 (* -1 (* b (- (* -2 (/ a b)) 2)))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ a b)) 1) b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) (* -1 a)) b)) 1) b))))
#s(approx (pow (- b a) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)) (* -1 a)) b)) 1) b))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))) (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
(PI.f64)
(*.f64 (+.f64 b a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
(/.f64 (fma.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b) (*.f64 (-.f64 a b) (-.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (fma.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (*.f64 (-.f64 a b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (-.f64 a b) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (-.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (-.f64 a b)))
(/.f64 (fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64))))))
(fma.f64 b #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 b #s(literal 2 binary64)))
(-.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) b))
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64)))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (+.f64 b a) (+.f64 b a))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 b b) (*.f64 b a))))
(+.f64 b a)
(+.f64 a b)
a
b
(*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (-.f64 b a) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 b a) (-.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 b a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 b a))
(exp.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 b a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (+.f64 b a))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 b b (fma.f64 a a (*.f64 b a))))
(-.f64 b a)
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 a)) (*.f64 a (neg.f64 b)))
(/.f64 (-.f64 (neg.f64 b) (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 b)) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 b a))
(-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 a #s(literal -1/2 binary64))))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64))
(pow.f64 a #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (neg.f64 (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal -1 binary64) (neg.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal -1 binary64))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) a (/.f64 (PI.f64) (*.f64 b b)))) a))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)))) a (fma.f64 (*.f64 #s(literal 0 binary64) b) (/.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 4 binary64)))))) a (*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64))) a (*.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))) a))
#s(approx (/ (PI) (* 2 (+ a b))) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (*.f64 a (/.f64 (PI.f64) (*.f64 b b))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64))) a (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
#s(approx (* 2 (+ a b)) (*.f64 b #s(literal 2 binary64)))
#s(approx (* 2 (+ a b)) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 b a))
#s(approx a a)
#s(approx (* (pow (- b a) -1) (- (pow a -1) (pow b -1))) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))
#s(approx (pow (- b a) -1) (pow.f64 b #s(literal -1 binary64)))
#s(approx (pow (- b a) -1) (+.f64 (/.f64 a (*.f64 b b)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (pow (- b a) -1) (fma.f64 (+.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (pow (- b a) -1) (fma.f64 (fma.f64 (+.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal -3 binary64))) a (pow.f64 b #s(literal -2 binary64))) a (pow.f64 b #s(literal -1 binary64))))
#s(approx (- b a) b)
#s(approx (- b a) (fma.f64 #s(literal -1 binary64) a b))
#s(approx (- (pow a -1) (pow b -1)) (pow.f64 a #s(literal -1 binary64)))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) a))
#s(approx (pow a -1) (pow.f64 a #s(literal -1 binary64)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a))) (*.f64 a a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 a a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a)))) (*.f64 a a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 0 binary64) b))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (PI.f64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a))))) (*.f64 a a)))
#s(approx (/ (PI) (* 2 (+ a b))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)))) (*.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64))) a))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 b b) (/.f64 (PI.f64) (*.f64 a a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64))) (pow.f64 a #s(literal 3 binary64))))) a))
#s(approx (* 2 (+ a b)) (*.f64 a #s(literal 2 binary64)))
#s(approx (* 2 (+ a b)) (*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) #s(literal 2 binary64)) a))
#s(approx (+ a b) a)
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (pow (- b a) -1) (/.f64 #s(literal -1 binary64) a))
#s(approx (pow (- b a) -1) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) a))
#s(approx (pow (- b a) -1) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 b b)) (*.f64 a a)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) a))
#s(approx (pow (- b a) -1) (/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)))) a))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (pow a -1) (pow b -1)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (*.f64 a a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (/.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) a))) a))) (*.f64 a a)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 b b)) (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 0 binary64) b))) a) #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 b) (PI.f64) (neg.f64 (*.f64 (-.f64 (PI.f64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) b) (PI.f64)) b))) (*.f64 #s(literal 0 binary64) b)))) #s(literal -1/2 binary64))) a))) a))) (*.f64 a a)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b b) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) b) #s(literal -1/2 binary64))) a))) a)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 b b) (PI.f64)) #s(literal -1/2 binary64))) a))) a))) a)))
#s(approx (* 2 (+ a b)) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b a)) #s(literal 2 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64))))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 b b) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) a)))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (neg.f64 (*.f64 b b))) a)) b) a) #s(literal -1 binary64) #s(literal 1 binary64)) a)))
#s(approx (- b a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (PI.f64) (*.f64 a a)))) b))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 a a)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 a a)))) b (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) (*.f64 #s(literal 0 binary64) a)) (*.f64 a a)) #s(literal -1 binary64) (/.f64 (neg.f64 (PI.f64)) (pow.f64 a #s(literal 4 binary64)))))) b (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (*.f64 b (/.f64 (PI.f64) (*.f64 a a))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx (/ (PI) (* 2 (+ a b))) (fma.f64 (fma.f64 (fma.f64 (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/2 binary64))) b (*.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal -1/2 binary64))) b (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))))
#s(approx b b)
#s(approx (pow (- b a) -1) (-.f64 (/.f64 (neg.f64 b) (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
#s(approx (pow (- b a) -1) (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal -2 binary64))) b) (pow.f64 a #s(literal -1 binary64))))
#s(approx (pow (- b a) -1) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal -3 binary64))) b) (pow.f64 a #s(literal -2 binary64))) b) (pow.f64 a #s(literal -1 binary64))))
#s(approx (- b a) (-.f64 b a))
#s(approx (- (pow a -1) (pow b -1)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (pow b -1) (pow.f64 b #s(literal -1 binary64)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b))) (*.f64 b b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b)))) (*.f64 b b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 b b)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (neg.f64 a) (PI.f64) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a))) (*.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 a a)))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b))))) (*.f64 b b)))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) (*.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64))) b))
#s(approx (/ (PI) (* 2 (+ a b))) (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 a a) (/.f64 (PI.f64) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64))) (pow.f64 b #s(literal 3 binary64))))) b))
#s(approx (* 2 (+ a b)) (*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) #s(literal 2 binary64)) b))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (pow (- b a) -1) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (pow (- b a) -1) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (neg.f64 a) b)) b))
#s(approx (pow (- b a) -1) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64) (/.f64 (neg.f64 a) b))) b))
#s(approx (- b a) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) b))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (/.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) b))) b))) (*.f64 b b)))
#s(approx (* (/ (PI) (* 2 (+ a b))) (* (pow (- b a) -1) (- (pow a -1) (pow b -1)))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) (*.f64 #s(literal 0 binary64) a) (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 a a)))) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (PI.f64) a (neg.f64 (*.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) (*.f64 #s(literal 0 binary64) a)))) #s(literal 1/2 binary64))) b))) b))) (*.f64 b b)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 (PI.f64) a) #s(literal -1/2 binary64))) b))) b)))
#s(approx (/ (PI) (* 2 (+ a b))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (PI.f64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) (PI.f64)) #s(literal -1/2 binary64))) b))) b))) b)))
#s(approx (* 2 (+ a b)) (*.f64 (neg.f64 b) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) #s(literal 2 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) b)))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a a) b) (neg.f64 a)) b)) #s(literal 1 binary64)) b)))
#s(approx (pow (- b a) -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) b) (*.f64 a a)) b) a)) b)) #s(literal 1 binary64)) b)))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))

eval21.0ms (0.5%)

Memory
-9.2MiB live, 37.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 6 193 to 954 computations (84.6% saved)

prune165.0ms (3.9%)

Memory
-21.2MiB live, 170.8MiB allocated; 11ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1762178
Fresh134
Picked011
Done011
Total1777184
Accuracy
100.0%
Counts
184 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
86.8%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
99.6%
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
86.9%
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
99.6%
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(approx (* (pow (- b a) -1) (- (pow a -1) (pow b -1))) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
86.9%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
Compiler

Compiled 476 to 214 computations (55% saved)

regimes12.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Accuracy

Total -35.3b remaining (-15447.2%)

Threshold costs -35.3b (-15447.2%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (/ (PI) 2) (* (pow (* (+ b a) (- b a)) -1) (- (pow a -1) (pow b -1)))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a b) (*.f64 (+.f64 b a) (-.f64 b a))))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(literal 1 binary64)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a #s(literal -1 binary64))) (*.f64 a (neg.f64 b))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) #s(approx (* (pow (- b a) -1) (- (pow a -1) (pow b -1))) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1 binary64))) (*.f64 (PI.f64) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)))) (*.f64 (*.f64 a b) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))) (*.f64 (+.f64 b a) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
Calls

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
Results
AccuracySegmentsBranch
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)

simplify38.0ms (0.9%)

Memory
-14.4MiB live, 32.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521
12121
23021
33821
47021
539021
6346521
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 a b))) (*.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))

derivations48.0ms (1.1%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 21 to 15 computations (28.6% saved)

preprocess15.0ms (0.4%)

Memory
-30.5MiB live, 14.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

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

Profiling

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