Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

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

analyze103.0ms (2%)

Memory

41.7MiB live, 181.8MiB allocated; 24ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.8s (34.4%)

Memory

64.2MiB live, 2 493.5MiB allocated; 629ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 446.0ms (42.5% of total)

ival-mult: 409.0ms (38.9% of total)

ival-sub: 111.0ms (10.6% of total)

ival-pi: 63.0ms (6% of total)

exact: 10.0ms (1% of total)

ival-true: 6.0ms (0.6% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain182.0ms (3.5%)

Memory

-16.9MiB live, 463.9MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	2	(-4.782367966324547e-151 6.820006027124674e+155)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
14	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
4	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.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)))`	*nu**	29	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	14	0
↳	`(*.f64 b b)`	overflow	59
↳	`(*.f64 a a)`	overflow	59
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	4	0
↳	`(*.f64 b b)`	overflow	59
↳	`(*.f64 a a)`	overflow	59
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	104

Confusion

	Predicted +	Predicted -
+	46	7
-	1	202

Precision

0.9787234042553191

Recall

0.8679245283018868

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	7
-	1	0	202

Precision?

0.9787234042553191

Recall?

0.8679245283018868

Freqs

test

number	freq
0	209
1	47

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

56.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 14.0ms (39.5% of total)

ival-mult: 13.0ms (36.7% of total)

ival-sub: 5.0ms (14.1% of total)

ival-pi: 2.0ms (5.6% of total)

exact: 1.0ms (2.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess207.0ms (4%)

Memory

2.6MiB live, 229.3MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	111
1	108	97
2	402	95
3	1860	95
4	6229	95
0	15	21
0	26	21
1	50	19
2	147	19
3	621	19
4	4164	19
0	8321	19

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Outputs

(*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 a b)) (*.f64 (-.f64 b a) #s(literal 2 binary64))) (PI.f64))

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.0%	(.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)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series15.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB 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:

Time	Variable		Point	Expression
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))

simplify187.0ms (3.6%)

Memory

-17.2MiB live, 209.4MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	2027
1	1018	1916
2	4805	1900
0	8736	1858

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

Inputs
#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
#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))) (.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))) #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))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) 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))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a))
#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)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64)))
#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)))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b)))
#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)))) (fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))) (.f64 (/.f64 (PI.f64) (*.f64 b b)) #s(literal 1/2 binary64))))
#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 (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) b) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (*.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))
#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))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b))
#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))) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))))
#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 (/ 1 (- (* b b) (* a a))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (- (* b b) (* a a)) (*.f64 b b))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (- (* b b) (* a a)) (*.f64 (-.f64 b a) (+.f64 a b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* a a) (*.f64 a a))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) 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))) (.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))) #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))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #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))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a)))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) a) (.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64))) (*.f64 a a)))
#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)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
#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)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) a)))
#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)))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))) (.f64 a a)))
#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 (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64)) (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))))) (.f64 a a)))
#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (/ -1 (pow a 2))))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
#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))) (-.f64 (/.f64 (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))
#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))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))) (*.f64 a a)))
#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 (/ 1 (- (* b b) (* a a))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 a a)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (- (* b b) (* a a)) (*.f64 (neg.f64 a) a))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (- (* b b) (* a a)) (.f64 (-.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ -1 b)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (- (/ 1 a) (/ 1 b))))
#s(approx (- (/ 1 a) (/ 1 b)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #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))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) b (/.f64 (PI.f64) b)) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a)))
#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))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) a) (.f64 b b) (.f64 (neg.f64 (PI.f64)) b))) (neg.f64 a))) (neg.f64 a))) (.f64 a a)))
#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))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) 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))) (/.f64 (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 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b)) 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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b))
#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)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) a)))
#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)))) (fma.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))) (.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))))
#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 (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) a) a) (.f64 b b) (PI.f64)) a) (.f64 (.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64))) (.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
#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))) (-.f64 (/.f64 (*.f64 (neg.f64 b) b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))
#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))) (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))
#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 (/ 1 (- (* b b) (* a a))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#s(approx (- (* b b) (* a a)) (*.f64 (-.f64 b a) (+.f64 a b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* b b) (*.f64 b b))
#s(approx b #s(hole binary64 b))
#s(approx b b)
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ 1 b) (/.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) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b 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)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (.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))) #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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#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)))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)) b)))
#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)))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)))
#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 (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) (fma.f64 (pow.f64 a #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) (*.f64 b b)))
#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))) (/.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) b) b))
#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))) (/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (*.f64 b b)))
#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 (/ 1 (- (* b b) (* a a))) (/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (- (* b b) (* a a)) (.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (.f64 b b)))
#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))) (/.f64 (fma.f64 (fma.f64 (/.f64 (PI.f64) (.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (.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))) #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))))
#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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (PI.f64) b) (.f64 a a) (.f64 (neg.f64 (PI.f64)) a))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))

rewrite543.0ms (10.4%)

Memory

-67.4MiB live, 136.4MiB allocated; 892ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	77
1	112	73
0	1004	73

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 200

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
#s(literal 1 binary64)
(-.f64 (.f64 b b) (.f64 a a))
(*.f64 b b)
b
(*.f64 a a)
a
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

Outputs
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 a b))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (*.f64 a b))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (/.f64 (+.f64 a b) (.f64 a b)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (.f64 (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (.f64 a b) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 a b) (.f64 a b))))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (+.f64 a b) (.f64 a b))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)))
(/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (PI.f64) (-.f64 b a)) (.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)) (*.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (.f64 b b)))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64)))
(.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 b a))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (PI.f64))) (.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (PI.f64)) (.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))) (.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))))
(/.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (.f64 (PI.f64) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))))
(/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 2 binary64))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (PI.f64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (PI.f64) #s(literal -2 binary64)))
(PI.f64)
#s(literal 2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 a a (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 a b) (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 a b)) (-.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (neg.f64 b) (neg.f64 a)) (-.f64 (neg.f64 b) (neg.f64 a)))
(*.f64 (+.f64 (neg.f64 b) (fabs.f64 a)) (-.f64 (neg.f64 b) (fabs.f64 a)))
(*.f64 (+.f64 (neg.f64 b) a) (-.f64 (neg.f64 b) a))
(*.f64 (+.f64 (fabs.f64 b) (neg.f64 a)) (-.f64 (fabs.f64 b) (neg.f64 a)))
(*.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 b) (fabs.f64 a)))
(*.f64 (+.f64 (fabs.f64 b) a) (-.f64 (fabs.f64 b) a))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 b (neg.f64 a)))
(*.f64 (+.f64 b (fabs.f64 a)) (-.f64 b (fabs.f64 a)))
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b b) (.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 a a (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(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 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 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 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 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 (neg.f64 a)) (neg.f64 a)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(fma.f64 b b (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (.f64 b b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (.f64 b b) (.f64 (neg.f64 (neg.f64 a)) a))
(-.f64 (.f64 b b) (.f64 a a))
(+.f64 (.f64 (neg.f64 a) a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(+.f64 (.f64 b b) (.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 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 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(neg.f64 (*.f64 b (neg.f64 b)))
(fabs.f64 (*.f64 b b))
(exp.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 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(/.f64 (/.f64 (-.f64 b a) a) b)
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 a b) (*.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 b a)) (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 (+.f64 a b) (*.f64 a b)))
(/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 b a) (*.f64 a b))
(-.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 (+.f64 a b) (.f64 a b))) (/.f64 (pow.f64 b #s(literal -2 binary64)) (/.f64 (+.f64 a b) (.f64 a b))))
(-.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 b (.f64 a b)) (/.f64 a (.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 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) (pow.f64 a #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) a)
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(exp.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 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) (pow.f64 b #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))

eval48.0ms (0.9%)

Memory: -34.2MiB live, 55.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 270 to 1 147 computations (84.2% saved)

prune11.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	252	14	266
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	14	267

Accuracy

89.5%

Counts

267 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	81.1%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
	76.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
	88.2%	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	16.2%	(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	57.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
▶	53.2%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b)))
▶	47.5%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	51.7%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	52.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
	51.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
▶	47.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
	59.3%	#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)))
▶	51.2%	#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 776 to 544 computations (29.9% saved)

series47.0ms (0.9%)

Memory

-23.7MiB live, 70.5MiB allocated; 16ms collecting garbage

Counts

42 → 175

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(.f64 #s(literal 2 binary64) (.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (.f64 (.f64 a a) b))
(.f64 (.f64 a a) b)
(*.f64 a a)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) b)
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.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))
(/.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)
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/.f64 (/.f64 (PI.f64) 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (* -1 b))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))))
#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 (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (* 2 (* a b)) #s(hole binary64 (* 2 (* a b))))
#s(approx (* a b) #s(hole binary64 (* a 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) (* (* a a) b)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) (* (* a a) b)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (* -1/2 (/ (PI) (pow a 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (* -1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (PI) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) 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 (- (/ 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 (* (/ (/ (PI) a) a) -1/2) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (/ (/ (PI) a) a) #s(hole binary64 (/ (PI) (pow a 2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (* -1 (/ (PI) (pow a 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #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 (* (* (/ (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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (* -1 (/ (PI) b))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (- (/ (PI) a) (/ (PI) b))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))))
#s(approx (+ a b) #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) (/ 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))))
#s(approx (* (+ a b) (- 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 (* (* (/ (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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (- (/ (* b (PI)) a) (PI)) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) 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 (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ -1 b) #s(hole binary64 (/ -1 b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a 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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (+ (* -1 (/ (PI) b)) (/ (PI) a))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#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:

Time	Variable		Point	Expression
14.0ms	b	@	-inf	((/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (PI) (* (+ a b) (- b a)) (+ a b) a b (- b a) (* 2 (* a b)) 2 (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (* (* a a) b) (* a a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) -1/2 (- (/ (PI) a) (/ (PI) b)) (/ (PI) a) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (/ 1 (- (* b b) (* a a))) 1 (- (* b b) (* a a)) (* b b) (- (/ 1 a) (/ 1 b)) (/ -1 b) -1 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
7.0ms	a	@	inf	((/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (PI) (* (+ a b) (- b a)) (+ a b) a b (- b a) (* 2 (* a b)) 2 (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (* (* a a) b) (* a a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) -1/2 (- (/ (PI) a) (/ (PI) b)) (/ (PI) a) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (/ 1 (- (* b b) (* a a))) 1 (- (* b b) (* a a)) (* b b) (- (/ 1 a) (/ 1 b)) (/ -1 b) -1 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
7.0ms	a	@	-inf	((/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (PI) (* (+ a b) (- b a)) (+ a b) a b (- b a) (* 2 (* a b)) 2 (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (* (* a a) b) (* a a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) -1/2 (- (/ (PI) a) (/ (PI) b)) (/ (PI) a) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (/ 1 (- (* b b) (* a a))) 1 (- (* b b) (* a a)) (* b b) (- (/ 1 a) (/ 1 b)) (/ -1 b) -1 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
5.0ms	a	@	0	((/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (PI) (* (+ a b) (- b a)) (+ a b) a b (- b a) (* 2 (* a b)) 2 (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (* (* a a) b) (* a a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) -1/2 (- (/ (PI) a) (/ (PI) b)) (/ (PI) a) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (/ 1 (- (* b b) (* a a))) 1 (- (* b b) (* a a)) (* b b) (- (/ 1 a) (/ 1 b)) (/ -1 b) -1 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))
5.0ms	b	@	0	((/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (PI) (* (+ a b) (- b a)) (+ a b) a b (- b a) (* 2 (* a b)) 2 (* a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (* (* a a) b) (* a a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) -1/2 (- (/ (PI) a) (/ (PI) b)) (/ (PI) a) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (/ (PI) 2) (/ 1 (- (* b b) (* a a))) 1 (- (* b b) (* a a)) (* b b) (- (/ 1 a) (/ 1 b)) (/ -1 b) -1 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) a) a) -1/2) (/ (/ (PI) a) a) (- (/ 1 a) (/ 1 b)) (/ 1 a) (/ 1 b))

simplify196.0ms (3.7%)

Memory

30.3MiB live, 355.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	812	5128
1	2343	4708
0	9502	4602

Stop Event

1×	iter limit
1×	node limit

Counts

175 → 175

Calls

Call 1

Inputs
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (* -1 b))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))))
#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 (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (* 2 (* a b)) #s(hole binary64 (* 2 (* a b))))
#s(approx (* a b) #s(hole binary64 (* a 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) (* (* a a) b)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) (* (* a a) b)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (* -1/2 (/ (PI) (pow a 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (* -1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (PI) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) 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 (- (/ 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 (* (/ (/ (PI) a) a) -1/2) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (/ (/ (PI) a) a) #s(hole binary64 (/ (PI) (pow a 2))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (* -1 (/ (PI) (pow a 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (/ b a)) 1))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* -1 (/ b a)) (+ (/ b a) (/ (pow b 2) (pow a 2)))) 1))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #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 (* (* (/ (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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (* -1 (/ (PI) b))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (- (/ (PI) a) (/ (PI) b))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))))
#s(approx (+ a b) #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) (/ 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))))
#s(approx (* (+ a b) (- 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 (* (* (/ (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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (- (/ (* b (PI)) a) (PI)) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) 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 (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ -1 b) #s(hole binary64 (/ -1 b)))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ a b))))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b)))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a 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 (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (+ (* -1 (/ (PI) b)) (/ (PI) a))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#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
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a)) a))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (*.f64 b b)) (/.f64 (PI.f64) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (fma.f64 (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (.f64 b b))) a (/.f64 (PI.f64) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (.f64 b b))) a (/.f64 (PI.f64) b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (fma.f64 (fma.f64 a (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (*.f64 b b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) b) #s(literal 0 binary64) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))))) a) (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 4 binary64))))) a (/.f64 (PI.f64) (.f64 b b))))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ a b) (- b a)) (*.f64 b b))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (* -1 b))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) (*.f64 b b))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (+ (* a (+ b (+ (* -1 a) (* -1 b)))) (pow b 2))))
#s(approx (* (+ a b) (- b a)) (fma.f64 b b (fma.f64 (neg.f64 a) a #s(literal 0 binary64))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) b)
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ a b) (+.f64 b a))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) b)
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- b a) (-.f64 b a))
#s(approx (* 2 (* a b)) #s(hole binary64 (* 2 (* a b))))
#s(approx (* 2 (* a b)) (.f64 (.f64 b a) #s(literal 2 binary64)))
#s(approx (* a b) #s(hole binary64 (* a b)))
#s(approx (* a b) (*.f64 b a))
#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))) (.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))) #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))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (PI.f64) (*.f64 b b)))) a))
#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))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64)))))) a)) a))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) a (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) a)) a))
#s(approx (* (/ (PI) (* (* a a) b)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) (* (* a a) b)) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (PI) (* (* a a) b)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (/ (PI) (* (* a a) b)) (/.f64 (PI.f64) (.f64 (.f64 a a) b)))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* (* a a) b) (.f64 (.f64 a a) b))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (* -1/2 (/ (PI) (pow a 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) (pow a 3))))
#s(approx (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (* -1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) a)))
#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64))) a))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (PI) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (PI.f64) a))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) a)))
#s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) b) (PI.f64)) a))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) a) (/.f64 (PI.f64) 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)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64)))
#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)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (*.f64 b b)))))
#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)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))) (.f64 a a))))
#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 (* (/ (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) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 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))) #s(hole binary64 (/ 1 (pow b 2))))
#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
#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))) (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b b))))
#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))) (fma.f64 (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 b b))))
#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 (/ 1 (- (* b b) (* a a))) (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (.f64 a a) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 b b))))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ a b) (- b a)) (*.f64 b b))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (+ (* -1 (pow a 2)) (pow b 2))))
#s(approx (* (+ a b) (- b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ 1 a)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (+ 1 (* -1 (/ a b))) a)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
#s(approx (* (/ (/ (PI) a) a) -1/2) #s(hole binary64 (* -1/2 (/ (PI) (pow a 2)))))
#s(approx (* (/ (/ (PI) a) a) -1/2) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
#s(approx (/ (/ (PI) a) a) #s(hole binary64 (/ (PI) (pow a 2))))
#s(approx (/ (/ (PI) a) a) (/.f64 (/.f64 (PI.f64) a) a))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
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#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) a) a))))
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#s(approx (* (+ a b) (- b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
#s(approx b #s(hole binary64 b))
#s(approx b b)
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#s(approx (- b a) (-.f64 b a))
#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))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (PI.f64) a) a))) 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))) (/.f64 (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 3 binary64))) (*.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) b)) 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)))
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#s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (/.f64 (PI.f64) a)) (PI.f64))) b))
#s(approx (- (/ (PI) a) (/ (PI) b)) #s(hole binary64 (/ (- (/ (* b (PI)) a) (PI)) b)))
#s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (-.f64 (*.f64 b (/.f64 (PI.f64) a)) (PI.f64)) b))
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#s(approx (/ (PI) b) (/.f64 (PI.f64) 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)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 b b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 (PI.f64) a) a))))
#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))))))))
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#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))))))))))
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#s(approx (/ 1 (- (* b b) (* a a))) #s(hole binary64 (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))))
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#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)))))
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#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 (/ 1 (- (* b b) (* a a))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 a a))))
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#s(approx (* (+ a b) (- b a)) (*.f64 (-.f64 b a) (+.f64 b a)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* b b) (*.f64 b b))
#s(approx (- (/ 1 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b))
#s(approx (/ -1 b) #s(hole binary64 (/ -1 b)))
#s(approx (/ -1 b) (/.f64 #s(literal -1 binary64) b))
#s(approx (/ 1 b) #s(hole binary64 (/ 1 b)))
#s(approx (/ 1 b) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
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#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))))
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#s(approx (* (+ a b) (- b a)) (.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (.f64 b b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ a b) (fma.f64 (/.f64 a b) b b))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
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#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b 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)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#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 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b)))
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#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))))
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#s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))) (*.f64 b b)))
#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 (/ 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)) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))))
#s(approx (* (+ a b) (- b a)) (.f64 (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64))) (.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) b)) (PI.f64))) (neg.f64 b))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) a))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64))) (neg.f64 b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) a)) b)) (neg.f64 b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (PI.f64) b) (.f64 (.f64 (neg.f64 a) a) (PI.f64))) (neg.f64 b)) (*.f64 (PI.f64) a)) b)) (neg.f64 b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b)) b)) (.f64 b b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (.f64 (PI.f64) (fma.f64 a a #s(literal 0 binary64))) (neg.f64 b)) b)) (.f64 b b)))
#s(approx (* (+ a b) (- b a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (+ (* -1 (+ a (* -1 a))) (/ (pow a 2) b)) b))))))
#s(approx (* (+ a b) (- b a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a a) b) #s(literal 0 binary64)) b)) b) b))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#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))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 a (/.f64 (PI.f64) b)) (PI.f64))) (neg.f64 b))) (*.f64 b b)))
#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))))
#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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) b) (.f64 (neg.f64 (PI.f64)) a))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))

rewrite82.0ms (1.6%)

Memory

2.3MiB live, 103.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	344
0	84	344
1	260	332
0	2020	332

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

42 → 553

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
(PI.f64)
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
a
b
(-.f64 b a)
(.f64 #s(literal 2 binary64) (.f64 a b))
#s(literal 2 binary64)
(*.f64 a b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (.f64 (.f64 a a) b))
(.f64 (.f64 a a) b)
(*.f64 a a)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
(/.f64 (PI.f64) a)
(/.f64 (PI.f64) b)
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.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))
(/.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)
#s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))
(/.f64 (/.f64 (PI.f64) a) a)
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)

Outputs
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(.f64 (/.f64 (-.f64 b a) (.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) b))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 b a)))
(.f64 (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 b a) a) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))))
(.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 b a)))
(.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) b) a)
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64))) a) b)
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 b a)) (.f64 #s(literal 2 binary64) a)) b)
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 b a)) (.f64 b a)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 b a))) (-.f64 b a))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 b a))) (*.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 b a))) (*.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 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #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 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 b a)) (*.f64 b a))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))) (neg.f64 (.f64 b a)))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 b a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)))) (neg.f64 (.f64 #s(literal -2 binary64) (*.f64 b a))))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 b a) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (-.f64 b a)) (.f64 (.f64 (neg.f64 (-.f64 b a)) (+.f64 b a)) (.f64 (*.f64 b a) #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) (-.f64 b a)) (+.f64 b a))) (.f64 (/.f64 (+.f64 b a) (*.f64 b a)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (PI.f64)) (.f64 (/.f64 (+.f64 b a) (.f64 b a)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a))) (.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (PI.f64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a))))
(/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a))))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 b a) (*.f64 b a))))
(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 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 (+.f64 b a) (.f64 b a))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 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 (+.f64 (pow.f64 (.f64 b a) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a)))
(/.f64 (.f64 (PI.f64) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)) (/.f64 (+.f64 b a) (*.f64 b a))))
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(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) (pow.f64 b #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) b)
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(exp.f64 (*.f64 (log.f64 b) #s(literal -1 binary64)))

eval145.0ms (2.8%)

Memory: 6.5MiB live, 144.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 23 882 to 2 872 computations (88% saved)

prune37.0ms (0.7%)

Memory

-7.4MiB live, 81.6MiB allocated; 10ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	750	14	764
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	761	17	778

Accuracy

100.0%

Counts

778 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 b a) #s(literal 2 binary64))))
	81.1%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	89.1%	(/.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (PI.f64)) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	65.4%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	82.8%	(.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	57.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
▶	51.4%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
	59.3%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	52.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
	48.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (fma.f64 b (PI.f64) (.f64 (neg.f64 a) (PI.f64))) #s(literal -1/2 binary64)) (.f64 b a)) (.f64 a a)))
	52.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64)) (neg.f64 a)) (neg.f64 a)))
▶	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
	51.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal 1/2 binary64) b)))
	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
✓	51.2%	#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)))
	56.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
▶	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 943 to 640 computations (32.1% saved)

series69.0ms (1.3%)

Memory

18.7MiB live, 63.8MiB allocated; 4ms collecting garbage

Counts

37 → 178

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
(-.f64 b a)
(.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
#s(literal 1/2 binary64)
(.f64 (.f64 a a) b)
(*.f64 a a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(/.f64 (PI.f64) b)
(/.f64 (PI.f64) a)
(*.f64 b b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))
(*.f64 (/.f64 (PI.f64) b) a)

Outputs
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (PI)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#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 (* (- b a) (* (* b a) 2)) #s(hole binary64 (* 2 (* a (pow b 2)))))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* a (+ (* -2 (* a b)) (* 2 (pow b 2))))))
#s(approx (* (* b a) 2) #s(hole binary64 (* 2 (* a b))))
#s(approx (* b a) #s(hole binary64 (* a 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) (/ 1/2 (* (* a a) b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ 1/2 (* (* a a) b)) #s(hole binary64 (/ 1/2 (* (pow a 2) b))))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (/ (* 1/2 (PI)) (* a a)) b) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* 1/2 (PI)) (* a a)) #s(hole binary64 (* 1/2 (/ (PI) (pow a 2)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* -1 (PI))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (- (/ (* a (PI)) b) (PI))))
#s(approx (* (/ (PI) b) a) #s(hole binary64 (/ (* a (PI)) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (* -1 (PI))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (* -1 (PI)) (/ (* b (PI)) a)) (* -1 (/ (* b (PI)) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#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 (* (- b a) (* (* b a) 2)) #s(hole binary64 (* -2 (* (pow a 2) b))))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* -1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (PI) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (+ (* -1 (/ (PI) a)) (/ (PI) b))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 3)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 2)))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1/2 (/ (* a (PI)) b))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (/ (* a (PI)) b)))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* a (+ (* -1 (/ (PI) a)) (/ (PI) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#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) (/ 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (PI) b)) (/ (PI) a))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx b #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* b (+ (* -2 (pow a 2)) (* 2 (* a b))))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (/ (+ (* -1 (* b (PI))) (* a (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) 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 (* (- b a) (* (* b a) 2)) #s(hole binary64 (* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) 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)))))
#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))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	a	@	-inf	((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (+ b a) b a (- b a) (* (- b a) (* (* b a) 2)) (* (* b a) 2) (* b a) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) 1/2 (* (* a a) b) (* a a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (* a a)) b) (/ (* 1/2 (PI)) (* a a)) (* 1/2 (PI)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) -1/2 (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ (PI) a) (* b b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (- (* (/ (PI) b) a) (PI)) (* (/ (PI) b) a))
11.0ms	a	@	inf	((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (+ b a) b a (- b a) (* (- b a) (* (* b a) 2)) (* (* b a) 2) (* b a) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) 1/2 (* (* a a) b) (* a a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (* a a)) b) (/ (* 1/2 (PI)) (* a a)) (* 1/2 (PI)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) -1/2 (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ (PI) a) (* b b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (- (* (/ (PI) b) a) (PI)) (* (/ (PI) b) a))
6.0ms	b	@	-inf	((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (+ b a) b a (- b a) (* (- b a) (* (* b a) 2)) (* (* b a) 2) (* b a) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) 1/2 (* (* a a) b) (* a a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (* a a)) b) (/ (* 1/2 (PI)) (* a a)) (* 1/2 (PI)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) -1/2 (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ (PI) a) (* b b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (- (* (/ (PI) b) a) (PI)) (* (/ (PI) b) a))
6.0ms	a	@	0	((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (+ b a) b a (- b a) (* (- b a) (* (* b a) 2)) (* (* b a) 2) (* b a) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) 1/2 (* (* a a) b) (* a a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (* a a)) b) (/ (* 1/2 (PI)) (* a a)) (* 1/2 (PI)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) -1/2 (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ (PI) a) (* b b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (- (* (/ (PI) b) a) (PI)) (* (/ (PI) b) a))
6.0ms	b	@	inf	((/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (/ (PI) (+ b a)) (- b a)) (/ (PI) (+ b a)) (PI) (+ b a) b a (- b a) (* (- b a) (* (* b a) 2)) (* (* b a) 2) (* b a) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) 1/2 (* (* a a) b) (* a a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (* a a)) b) (/ (* 1/2 (PI)) (* a a)) (* 1/2 (PI)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) -1/2 (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ (PI) a) (* b b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (- (* (/ (PI) b) a) (PI)) (* (/ (PI) b) a))

simplify190.0ms (3.6%)

Memory

15.5MiB live, 196.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	5237
1	1784	4862
2	6853	4828
0	8305	4741

Stop Event

1×	iter limit
1×	node limit

Counts

178 → 178

Calls

Call 1

Inputs
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (PI)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
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#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx a #s(hole binary64 a))
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#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* 2 (* a (pow b 2)))))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* a (+ (* -2 (* a b)) (* 2 (pow b 2))))))
#s(approx (* (* b a) 2) #s(hole binary64 (* 2 (* a b))))
#s(approx (* b a) #s(hole binary64 (* a 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)))
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#s(approx (* (PI) (/ 1/2 (* (* a a) b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ 1/2 (* (* a a) b)) #s(hole binary64 (/ 1/2 (* (pow a 2) b))))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (/ (* 1/2 (PI)) (* a a)) b) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* 1/2 (PI)) (* a a)) #s(hole binary64 (* 1/2 (/ (PI) (pow a 2)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
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#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)))
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#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* -1 (PI))))
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#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (* -1 (PI))))
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#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (* -1 (PI)) (+ (* -1 (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))) (/ (* b (PI)) a))) (* -1 (/ (* b (PI)) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (* -1 (PI)) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (- (* b (PI)) (* -1 (* b (PI))))) (pow a 3)))) (+ (* -1 (/ (* b (PI)) a)) (/ (* b (- (* b (PI)) (* -1 (* b (PI))))) (pow a 2))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#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 (* (- b a) (* (* b a) 2)) #s(hole binary64 (* -2 (* (pow a 2) b))))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* (pow a 2) (+ (* -2 b) (* 2 (/ (pow b 2) 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* -1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (PI) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (+ (* -1 (/ (PI) a)) (/ (PI) b))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 3)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 2)))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1/2 (/ (* a (PI)) b))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (/ (* a (PI)) b)))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* a (+ (* -1 (/ (PI) a)) (/ (PI) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (* -1 (* b (PI))) (* b (PI))) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (* b (- (* -1 (* b (PI))) (* b (PI)))) a))) (* b (PI))) a)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* -1 (/ (- (+ (* -1 (* b (PI))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (- (* -1 (* b (PI))) (* b (PI)))) a)) (* -1 (* b (- (* -1 (* b (PI))) (* b (PI)))))) a))) (* b (PI))) a)))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#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) (/ 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (PI) b)) (/ (PI) a))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 2))) (* b (- (/ (PI) (pow a 3)) (* -1 (/ (PI) (pow a 3)))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx b #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* b (+ (* -2 (pow a 2)) (* 2 (* a b))))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (/ (+ (* -1 (* b (PI))) (* a (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) 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 (* (- b a) (* (* b a) 2)) #s(hole binary64 (* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))))
#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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) 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)))))
#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))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))

Outputs
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (PI)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (PI.f64))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (* -1 (/ (PI) b)) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) b)) a (PI.f64)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (/ (PI) (pow b 2)) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64)) b)) a (PI.f64)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* a (- (+ (* -1 (/ (PI) b)) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 3))) (/ (PI) (pow b 3)))) (/ (PI) (pow b 2))) (* -1 (/ (PI) (pow b 2)))))) (/ (PI) b))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (.f64 b b)))) a (/.f64 (neg.f64 (PI.f64)) b)) (/.f64 (PI.f64) b)) a (PI.f64)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) (+ b a)) (/.f64 (PI.f64) b))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b) a (/.f64 (PI.f64) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ b a)) (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (PI.f64) (.f64 b b))) a (/.f64 (PI.f64) b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) b)
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (+ b a) (+.f64 a b))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) b)
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (- b a) (-.f64 b a))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* 2 (* a (pow b 2)))))
#s(approx (* (- b a) (* (* b a) 2)) (.f64 (.f64 (*.f64 b b) a) #s(literal 2 binary64)))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* a (+ (* -2 (* a b)) (* 2 (pow b 2))))))
#s(approx (* (- b a) (* (* b a) 2)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 a a) (.f64 a b))) b))
#s(approx (* (* b a) 2) #s(hole binary64 (* 2 (* a b))))
#s(approx (* (* b a) 2) (.f64 (.f64 a b) #s(literal 2 binary64)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (* b a) (*.f64 a 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))) (.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))) #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))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) 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))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (* (PI) (/ 1/2 (* (* a a) b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (* 1/2 (PI)) (* a a)) b) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (* (* a a) b)) #s(hole binary64 (/ 1/2 (* (pow a 2) b))))
#s(approx (/ 1/2 (* (* a a) b)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 a a)))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* (* a a) b) (.f64 (.f64 a a) b))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (/ (* 1/2 (PI)) (* a a)) b) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (* 1/2 (PI)) (* a a)) b) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* 1/2 (PI)) (* a a)) #s(hole binary64 (* 1/2 (/ (PI) (pow a 2)))))
#s(approx (/ (* 1/2 (PI)) (* a a)) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) a))) a)) a))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) a))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (neg.f64 (PI.f64)) a))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) a))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) a) (/.f64 (PI.f64) a))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
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#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))))
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#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))))
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#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (PI) b)) (/ (PI) a))))))
#s(approx (- (* (/ (PI) b) a) (PI)) (*.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) a))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
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#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (/ (PI) a) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a)) b (neg.f64 (PI.f64))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (* -1 (PI)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 2))) (/ (PI) (pow a 2)))) (/ (PI) a)) (* -1 (/ (PI) a)))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) (.f64 a a)) (/.f64 (PI.f64) (.f64 a a))) b (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) a))) b (neg.f64 (PI.f64))))
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#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (PI) (+ b a)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) a))
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#s(approx (/ (PI) (+ b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
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#s(approx b #s(hole binary64 b))
#s(approx b b)
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- b a) (-.f64 b a))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* b (+ (* -2 (pow a 2)) (* 2 (* a b))))))
#s(approx (* (- b a) (* (* b a) 2)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 a a) (.f64 a b))) b))
#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))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) 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)))
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#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (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 3 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) b))) b)) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) a) b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) a) b))) b))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) a) b)) b))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) b) (/.f64 (PI.f64) b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
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#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) b a))) (pow.f64 b #s(literal 3 binary64))))
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#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) b a))) (*.f64 b b)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) b a))) b))
#s(approx (- (* (/ (PI) b) a) (PI)) #s(hole binary64 (/ (+ (* -1 (* b (PI))) (* a (PI))) b)))
#s(approx (- (* (/ (PI) b) a) (PI)) (/.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) b a)) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) b) a))) b)) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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))))
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#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (* -1 (/ (* a (PI)) b))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (+.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) (PI.f64)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))) (/ (* a (PI)) b))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (+.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64))) b) (PI.f64)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (- (+ (PI) (+ (* -1 (/ (* a (PI)) b)) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) (pow b 3)))) (+ (/ (* a (PI)) b) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) (pow b 2))))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 a a) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) (.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64))) b)) (PI.f64)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ b a)) (/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) b) a)) b))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ b a)) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 (PI.f64) (.f64 a (/.f64 a b)))) b) (PI.f64)) b))
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#s(approx (/ (PI) (+ b a)) (/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (.f64 (.f64 (neg.f64 a) a) (PI.f64)) b)) b))) b))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ b a) (fma.f64 (/.f64 a b) b b))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- b a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
#s(approx (* (- b a) (* (* b a) 2)) #s(hole binary64 (* (pow b 2) (+ (* -2 (/ (pow a 2) b)) (* 2 a)))))
#s(approx (* (- b a) (* (* b a) 2)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 a (/.f64 a b)) a)) (.f64 b 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))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b 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)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) b) a))) b)) (*.f64 b b)))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) b) a))) b)) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (PI.f64) (.f64 b b)) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 b))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 (PI.f64) (.f64 a (/.f64 a b))))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (/ (* a (- (* -1 (* a (PI))) (* a (PI)))) b)) b)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (-.f64 (PI.f64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) a (neg.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)))) b)))
#s(approx (* (/ (PI) (+ b a)) (- b a)) #s(hole binary64 (+ (PI) (* -1 (/ (+ (* -1 (- (* -1 (* a (PI))) (* a (PI)))) (* -1 (/ (+ (* -1 (* a (- (* -1 (* a (PI))) (* a (PI))))) (/ (* (pow a 2) (- (* -1 (* a (PI))) (* a (PI)))) b)) b))) b)))))
#s(approx (* (/ (PI) (+ b a)) (- b a)) (-.f64 (PI.f64) (/.f64 (neg.f64 (fma.f64 (.f64 (PI.f64) a) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (PI.f64) a) #s(literal -2 binary64)) b) (.f64 a a) (.f64 (neg.f64 a) (.f64 (*.f64 (PI.f64) a) #s(literal -2 binary64)))) b))) b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ b a)) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b)))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ b a)) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 (PI.f64) (*.f64 a (/.f64 a b)))) b) (PI.f64))) b))
#s(approx (/ (PI) (+ b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ b a)) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (.f64 (neg.f64 a) a) (PI.f64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b)) (neg.f64 b)))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (- b a) (*.f64 (neg.f64 b) (-.f64 (/.f64 a b) #s(literal 1 binary64))))
#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))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 b))) (*.f64 b b)))
#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))))
#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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 (PI.f64) (.f64 a (/.f64 a b))))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 b))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a 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))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 (PI.f64) (.f64 a (/.f64 a b))))) (neg.f64 b))) (neg.f64 b))) (.f64 b b)))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) b) a))) (neg.f64 b)))

rewrite158.0ms (3%)

Memory

-62.0MiB live, 68.7MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	335
0	86	335
1	316	289
0	2534	289

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

37 → 472

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 b a) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a))
(/.f64 (PI.f64) (+.f64 b a))
(PI.f64)
(+.f64 b a)
b
a
(-.f64 b a)
(.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 b a) #s(literal 2 binary64))
(*.f64 b a)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
#s(literal 1/2 binary64)
(.f64 (.f64 a a) b)
(*.f64 a a)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(/.f64 (PI.f64) b)
(/.f64 (PI.f64) a)
(*.f64 b b)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a)
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b)
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))
(*.f64 (/.f64 (PI.f64) b) a)

Outputs
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b a) b))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) b) (/.f64 (-.f64 b a) (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 (-.f64 b a) (.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) b))
(.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (.f64 a b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 b a) b) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 (-.f64 b a) (.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (*.f64 (-.f64 b a) a) b)) (/.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 b a) (-.f64 b a)) (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) a) b))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b)))
(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)))
(.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) a) b) (/.f64 (-.f64 b a) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 b a) (+.f64 a b))))
(.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 b a) (+.f64 a b))) (/.f64 (/.f64 (-.f64 b a) a) b))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (.f64 (*.f64 #s(literal 2 binary64) b) a)))
(.f64 (-.f64 b a) (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 (-.f64 b a) #s(literal 2 binary64)) (.f64 a b))))
(.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)))
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) a) b)
(/.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 2 binary64)) b) a)
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b)
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 a b)) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) (.f64 (*.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (-.f64 b a) (/.f64 (PI.f64) (+.f64 a b))) (.f64 (*.f64 #s(literal 2 binary64) b) a)) (-.f64 b a))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 b a) (+.f64 a b)))) (/.f64 (+.f64 a b) (*.f64 a b)))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 (-.f64 b a) (+.f64 a b)))) (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 2 binary64))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 a b)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal -2 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a))) (fma.f64 (neg.f64 b) b (*.f64 a a)))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a))) (-.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a))) (*.f64 (-.f64 b a) (+.f64 a b)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a))) (neg.f64 (+.f64 a b)))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a))) (+.f64 a b))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 a b))) #s(literal 2 binary64))
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(neg.f64 (*.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (/.f64 (fma.f64 a (PI.f64) (*.f64 (neg.f64 b) (PI.f64))) a) b)
(/.f64 (/.f64 (fma.f64 a (PI.f64) (*.f64 (neg.f64 b) (PI.f64))) b) a)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64)))) (neg.f64 (.f64 a b)))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 a)) (.f64 (neg.f64 b) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) a) (.f64 (neg.f64 b) (PI.f64))) (*.f64 (neg.f64 b) a))
(/.f64 (-.f64 (.f64 (PI.f64) (neg.f64 a)) (.f64 b (neg.f64 (PI.f64)))) (*.f64 b (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) (.f64 a b))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 a (PI.f64)) (.f64 a b)) (/.f64 (.f64 b (PI.f64)) (.f64 a b)))
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 a))
(/.f64 (PI.f64) a)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) a))
(neg.f64 (/.f64 (PI.f64) (neg.f64 a)))
(*.f64 (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 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b))
(.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) a))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (*.f64 a b)))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) a) b)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 b) (.f64 a b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b)) (neg.f64 (*.f64 a b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b)) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b b)) (neg.f64 a))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) a)
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) (*.f64 a b))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (.f64 b (.f64 a b)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 b b) a))
(neg.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b b)) a))
(neg.f64 (/.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b) (neg.f64 a)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (neg.f64 b)) (/.f64 #s(literal -1/2 binary64) (neg.f64 b)))
(.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (neg.f64 b)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (fabs.f64 b)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 b)))
(.f64 (/.f64 #s(literal -1/2 binary64) (fabs.f64 b)) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (fabs.f64 b)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b))
(.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b))
(.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b)))
(.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) b))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (fabs.f64 b)) (fabs.f64 b))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 b) b))
(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b)) (neg.f64 b))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b) b)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 b b))
(neg.f64 (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 b b)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal -1/2 binary64))
(.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 b))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 b)))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)) b)
(neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b)))
(.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (.f64 (PI.f64) (PI.f64))) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64)))
(fma.f64 a (/.f64 (PI.f64) b) (neg.f64 (PI.f64)))
(fma.f64 (PI.f64) (/.f64 a b) (neg.f64 (PI.f64)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 3 binary64)) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (fma.f64 (/.f64 (PI.f64) b) a (PI.f64)) (pow.f64 (*.f64 (/.f64 (PI.f64) b) a) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64))
(+.f64 (*.f64 (/.f64 (PI.f64) b) a) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) b) a)
(*.f64 a (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 a b))
(/.f64 (*.f64 a (neg.f64 (PI.f64))) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 a (PI.f64))) (neg.f64 b))
(/.f64 (*.f64 (neg.f64 (PI.f64)) a) (neg.f64 b))
(/.f64 (*.f64 a (PI.f64)) b)

eval111.0ms (2.1%)

Memory: 2.3MiB live, 136.9MiB allocated; 29ms collecting garbage
Compiler: Compiled 22 544 to 2 531 computations (88.8% saved)

prune31.0ms (0.6%)

Memory

36.0MiB live, 82.0MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	674	11	685
Fresh	7	4	11
Picked	3	2	5
Done	0	1	1
Total	684	18	702

Accuracy

100.0%

Counts

702 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b)
▶	99.7%	(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
	81.9%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (+.f64 a b) (.f64 (.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
	66.1%	(/.f64 #s(approx (* (/ (PI) (+ b a)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64))))
	65.4%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	88.2%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b)))
	59.3%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	51.4%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
	57.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b))
	59.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	57.1%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b) (/.f64 #s(literal -1/2 binary64) b)))
▶	60.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a))
	52.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64)) (neg.f64 a)) (neg.f64 a)))
✓	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
▶	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
✓	51.2%	#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)))
▶	56.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 915 to 618 computations (32.5% saved)

series59.0ms (1.1%)

Memory

-35.0MiB live, 56.9MiB allocated; 6ms collecting garbage

Counts

32 → 134

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(.f64 (.f64 #s(literal 2 binary64) b) a)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (.f64 (.f64 b a) a))
(.f64 (.f64 b a) a)
(*.f64 b a)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a))
(/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a)
(/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b)
(/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
(.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b)))
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(/.f64 (PI.f64) b)
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
#s(literal -1/2 binary64)
(*.f64 b b)

Outputs
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) 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 (* (* 2 b) a) #s(hole binary64 (* 2 (* a 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) (* (* b a) a)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) (* (* b a) a)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (* (* b a) a) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (* (/ (PI) a) (/ 1/2 (* b a))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ 1/2 (* b a)) #s(hole binary64 (/ 1/2 (* a b))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b 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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 3)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 2)))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1/2 (/ (* a (PI)) b))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (PI) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (+ (* -1 (/ (PI) a)) (/ (PI) b))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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 (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx b #s(hole binary64 b))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (/ -1/2 (* b b)) #s(hole binary64 (/ -1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a 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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#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))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	((/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/ (PI) (+ a b)) (PI) (+ a b) a b (* (* 2 b) a) (* 2 b) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b a) a)) 1/2) (/ (PI) (* (* b a) a)) (* (* b a) a) (* b a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1/2 (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (* 1/2 (PI)) (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ -1/2 (* b b)) -1/2 (* b b))
4.0ms	a	@	-inf	((/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/ (PI) (+ a b)) (PI) (+ a b) a b (* (* 2 b) a) (* 2 b) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b a) a)) 1/2) (/ (PI) (* (* b a) a)) (* (* b a) a) (* b a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1/2 (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (* 1/2 (PI)) (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ -1/2 (* b b)) -1/2 (* b b))
4.0ms	b	@	inf	((/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/ (PI) (+ a b)) (PI) (+ a b) a b (* (* 2 b) a) (* 2 b) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b a) a)) 1/2) (/ (PI) (* (* b a) a)) (* (* b a) a) (* b a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1/2 (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (* 1/2 (PI)) (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ -1/2 (* b b)) -1/2 (* b b))
4.0ms	a	@	inf	((/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/ (PI) (+ a b)) (PI) (+ a b) a b (* (* 2 b) a) (* 2 b) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b a) a)) 1/2) (/ (PI) (* (* b a) a)) (* (* b a) a) (* b a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1/2 (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (* 1/2 (PI)) (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ -1/2 (* b b)) -1/2 (* b b))
4.0ms	b	@	0	((/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/ (PI) (+ a b)) (PI) (+ a b) a b (* (* 2 b) a) (* 2 b) 2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b a) a)) 1/2) (/ (PI) (* (* b a) a)) (* (* b a) a) (* b a) 1/2 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) a) (/ 1/2 (* b a))) (/ (PI) a) (/ 1/2 (* b a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (* -1/2 (- (* (/ (PI) b) a) (PI))) (* 1/2 (PI)) (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (- (/ (PI) b) (/ (PI) a)) (/ (PI) b) (/ -1/2 (* b b)) -1/2 (* b b))

simplify176.0ms (3.4%)

Memory

41.8MiB live, 221.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	3985
1	1226	3748
2	4621	3710
0	8516	3644

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 134

Calls

Call 1

Inputs
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) 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 (* (* 2 b) a) #s(hole binary64 (* 2 (* a 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) (* (* b a) a)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) (* (* b a) a)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (* (* b a) a) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (* (/ (PI) a) (/ 1/2 (* b a))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ 1/2 (* b a)) #s(hole binary64 (/ 1/2 (* a b))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b 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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 3)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1/2 (/ (* a (PI)) (pow b 2)))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (PI) (* a b)))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1/2 (/ (* a (PI)) b))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* a (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (PI) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (+ (* -1 (/ (PI) a)) (/ (PI) b))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#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 (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a (pow b 2)))) (* 1/2 (/ (PI) (pow b 3))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow b 2))))))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx b #s(hole binary64 b))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (/ -1/2 (* b b)) #s(hole binary64 (/ -1/2 (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a 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 (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#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))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) (+ a b)) (/.f64 (PI.f64) b))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) (/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) b) a (PI.f64)) b))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (.f64 b b)) a (/.f64 (PI.f64) b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (+ a b)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (/.f64 (PI.f64) b) b)) a (/.f64 (PI.f64) b)))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) b)
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (+ a b) (+.f64 b a))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (* (* 2 b) a) #s(hole binary64 (* 2 (* a b))))
#s(approx (* (* 2 b) a) (.f64 (.f64 #s(literal 2 binary64) a) 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))) (.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))) #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))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b))))
#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))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a))
#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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (* (/ (PI) (* (* b a) a)) 1/2) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) a) (/ 1/2 (* b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (PI) (* (* b a) a)) #s(hole binary64 (/ (PI) (* (pow a 2) b))))
#s(approx (/ (PI) (* (* b a) a)) (/.f64 (PI.f64) (.f64 (.f64 a a) b)))
#s(approx (* (* b a) a) #s(hole binary64 (* (pow a 2) b)))
#s(approx (* (* b a) a) (.f64 (.f64 a a) b))
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx (* b a) (*.f64 b a))
#s(approx (* (/ (PI) a) (/ 1/2 (* b a))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (/ (PI) a) (/ 1/2 (* b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (PI) a) (/.f64 (PI.f64) a))
#s(approx (/ 1/2 (* b a)) #s(hole binary64 (/ 1/2 (* a b))))
#s(approx (/ 1/2 (* b a)) (/.f64 #s(literal 1/2 binary64) (*.f64 b a)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* 1/2 (/ (PI) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b)))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI)))))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) #s(literal -1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (PI.f64) b) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 3 binary64))))) a)) a))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) (/.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 a a) (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) a) (/.f64 (PI.f64) (pow.f64 b #s(literal 4 binary64))))))) a))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (*.f64 b b))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (neg.f64 (PI.f64)) a))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) a) (PI.f64)) a))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
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#s(approx b #s(hole binary64 b))
#s(approx b b)
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#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 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (neg.f64 (PI.f64)) a) b (PI.f64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 3))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (/.f64 (.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) (pow b 2))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (/.f64 (.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (*.f64 b b)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) #s(hole binary64 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI)))) b)))
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (/.f64 (.f64 (PI.f64) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))))) b)) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64))) b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))))) b (.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64))) b)) b))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (neg.f64 (PI.f64)) a) b (PI.f64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) a) b (PI.f64)) b))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (PI) b) (/.f64 (PI.f64) b))
#s(approx (/ -1/2 (* b b)) #s(hole binary64 (/ -1/2 (pow b 2))))
#s(approx (/ -1/2 (* b b)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (* b b) (*.f64 b b))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) b) b) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) b) b) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ a b)) (/.f64 (fma.f64 (/.f64 (neg.f64 (PI.f64)) b) a (PI.f64)) b))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (PI) (+ a b)) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a))) b) (PI.f64)) b))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (+ a b)) (/.f64 (-.f64 (PI.f64) (fma.f64 (PI.f64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (/.f64 (fma.f64 (PI.f64) a (/.f64 (.f64 (.f64 (neg.f64 a) a) (PI.f64)) b)) b))) b))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (+ a b) (fma.f64 (/.f64 a b) b 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))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
#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))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (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))) #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)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) b) b) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) b) b) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) a) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) b) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 b b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 a a) (/.f64 (/.f64 (PI.f64) b) b) (PI.f64)) b) (.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) b) b) a (/.f64 (PI.f64) a)) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (- (/ (PI) b) (/ (PI) a)) (/ -1/2 (* b b))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) #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))))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a)))) b)) (neg.f64 b))) (.f64 b b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (PI) (+ a b)) (/.f64 (fma.f64 (/.f64 (PI.f64) b) a (neg.f64 (PI.f64))) (neg.f64 b)))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ a b)) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a))) b) (neg.f64 (PI.f64))) b))
#s(approx (/ (PI) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (PI) (+ a b)) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) (PI.f64) (/.f64 (fma.f64 (.f64 (neg.f64 a) a) (PI.f64) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (PI.f64)) b)) (neg.f64 b))) b) (neg.f64 (PI.f64))) b))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64))))
#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))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (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))) #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))))
#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 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a)))) b)) (neg.f64 b))) (.f64 b b)))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (* -1/2 (- (* (/ (PI) b) a) (PI))) b) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64)) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (*.f64 b b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) #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))))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (fma.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 (PI.f64)) a (.f64 a (.f64 (/.f64 (PI.f64) b) a)))) b)) (neg.f64 b))) (.f64 b b)))

rewrite137.0ms (2.6%)

Memory

-14.4MiB live, 127.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	308
0	81	308
1	297	270
0	2398	270

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

32 → 370

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
(/.f64 (PI.f64) (+.f64 a b))
(PI.f64)
(+.f64 a b)
a
b
(.f64 (.f64 #s(literal 2 binary64) b) a)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64))
(/.f64 (PI.f64) (.f64 (.f64 b a) a))
(.f64 (.f64 b a) a)
(*.f64 b a)
#s(literal 1/2 binary64)
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(/.f64 (PI.f64) a)
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a))
(/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a)
(/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b)
(/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b)
#s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
(.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b)))
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(/.f64 (PI.f64) b)
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
#s(literal -1/2 binary64)
(*.f64 b b)

Outputs
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) b) a) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (+.f64 b a)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (cbrt.f64 (PI.f64)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 b a) (.f64 (*.f64 (-.f64 b a) b) a)) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 2 binary64)))
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(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) (.f64 (*.f64 b b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)))) (.f64 (*.f64 b b) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64)))) (.f64 (.f64 b b) (*.f64 b a)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 b) b) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)))) (.f64 (*.f64 (neg.f64 b) b) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64)))) (.f64 (.f64 (neg.f64 b) b) (*.f64 b a)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) b)) (.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 b b)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (*.f64 (neg.f64 b) b)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b)) (.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) b))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (*.f64 b b)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))) (*.f64 (neg.f64 b) b)))
(/.f64 (.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) (/.f64 #s(literal -1/2 binary64) b)) (.f64 (.f64 b a) b))
(/.f64 (.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) #s(literal -1/2 binary64)) (.f64 (.f64 b a) (*.f64 b b)))
(/.f64 (.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) #s(literal 1/2 binary64)) (.f64 (.f64 b a) (*.f64 (neg.f64 b) b)))
(/.f64 (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) #s(literal -1/2 binary64)) (.f64 b b))
(/.f64 (/.f64 (fma.f64 a (PI.f64) (*.f64 (neg.f64 b) (PI.f64))) b) a)
(/.f64 (/.f64 (fma.f64 a (PI.f64) (*.f64 (neg.f64 b) (PI.f64))) a) b)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64)))) (.f64 (neg.f64 a) b))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 a)) (.f64 (neg.f64 b) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (neg.f64 (PI.f64)) a) (.f64 (neg.f64 b) (PI.f64))) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (.f64 (PI.f64) (neg.f64 a)) (.f64 b (neg.f64 (PI.f64)))) (*.f64 (neg.f64 a) b))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64))))
(/.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) (.f64 b a))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) a) (+.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (pow.f64 (/.f64 (PI.f64) b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 a (PI.f64)) (.f64 b a)) (/.f64 (.f64 b (PI.f64)) (.f64 b a)))
(-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (fabs.f64 b)) (fabs.f64 b))
(/.f64 (/.f64 #s(literal -1/2 binary64) b) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) (neg.f64 b))
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 b) b))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) b)))
#s(literal -1/2 binary64)
(*.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 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval71.0ms (1.3%)

Memory: -2.6MiB live, 142.9MiB allocated; 50ms collecting garbage
Compiler: Compiled 15 756 to 1 618 computations (89.7% saved)

prune90.0ms (1.7%)

Memory

0.0MiB live, 91.2MiB allocated; 12ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	480	12	492
Fresh	9	1	10
Picked	2	3	5
Done	0	3	3
Total	491	19	510

Accuracy

100.0%

Counts

510 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (+.f64 b b) a))
	65.4%	(/.f64 (/.f64 (PI.f64) #s(approx (+ a b) b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
	98.9%	(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
	88.2%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
	59.3%	#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	50.8%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) #s(literal -1/2 binary64)) (.f64 (.f64 b a) (*.f64 b b))))
	57.2%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b))
	57.1%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b) (/.f64 #s(literal -1/2 binary64) b)))
	59.2%	#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 #s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (neg.f64 (PI.f64)) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
	59.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
✓	60.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a))
	65.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) a) b))
✓	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
	56.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64)) a))
	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (*.f64 b a))))
✓	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
✓	51.2%	#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)))
✓	56.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 1 985 to 636 computations (68% saved)

regimes48.0ms (0.9%)

Memory

8.6MiB live, 105.1MiB allocated; 18ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (*.f64 b a))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ b a)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(/.f64 (/.f64 (PI.f64) #s(approx (+ a b) b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (+.f64 b b) a))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 #s(approx (- (/ (PI) b) (/ (PI) a)) (/.f64 (neg.f64 (PI.f64)) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 #s(literal 2 binary64) b) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) a) #s(literal 1/2 binary64)) a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) a) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) b) b) a))
(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b)
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (.f64 (fma.f64 a (PI.f64) (.f64 (neg.f64 b) (PI.f64))) #s(literal -1/2 binary64)) (.f64 (.f64 b a) (*.f64 b b))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (+.f64 a b) (.f64 (.f64 (-.f64 b a) #s(literal 2 binary64)) (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) (/.f64 #s(literal -1/2 binary64) (.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (fma.f64 b (PI.f64) (.f64 (neg.f64 a) (PI.f64))) #s(literal -1/2 binary64)) (.f64 b a)) (.f64 a a)))
(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 b a)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a)) b) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) #s(literal -1/2 binary64)) (neg.f64 a)) (neg.f64 a)))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.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)))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) a) a) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (-.f64 b a) (/.f64 (/.f64 (/.f64 (PI.f64) (-.f64 b a)) (+.f64 b a)) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (PI.f64) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (PI.f64)) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) b) (.f64 #s(literal 2 binary64) a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 b a)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Outputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (+.f64 b b) a))

Calls

3 calls:

18.0ms	a
15.0ms	(.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)))
13.0ms	b

Results

Accuracy	Segments	Branch
99.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes17.0ms (0.3%)

Memory

12.4MiB live, 57.6MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (*.f64 b a))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ b a)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a a)) b))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(/.f64 (/.f64 (PI.f64) #s(approx (+ a b) b)) (.f64 (.f64 #s(literal 2 binary64) b) a))

Outputs
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))

Calls

3 calls:

7.0ms	a
4.0ms	b
4.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
98.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
98.9%	1	`a`
98.9%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes12.0ms (0.2%)

Memory

-10.2MiB live, 36.7MiB allocated; 4ms collecting garbage

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (*.f64 b a))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ b a)) (- b a)) (* (- b a) (* (* b a) 2))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (PI) (+ a b)) (* (* 2 b) a)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ b a)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64))))

Outputs

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 b (*.f64 b a))))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

Calls

3 calls:

5.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
3.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
89.6%	3	`a`
77.0%	5	`(.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)))`
88.8%	3	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))

Outputs

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

Calls

2 calls:

2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
81.5%	3	`b`
83.9%	3	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))

Calls

3 calls:

2.0ms	b
2.0ms	a
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
56.3%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
56.3%	1	`b`
56.3%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) b))))

#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) (*.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))

Outputs
#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)))

Calls

3 calls:

1.0ms	a
1.0ms	b
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
51.2%	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)))`
51.2%	1	`a`
51.2%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes15.0ms (0.3%)

Memory

-47.8MiB live, 9.2MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Calls

3 calls:

13.0ms	b
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms	a

Results

Accuracy	Segments	Branch
51.2%	1	`a`
51.2%	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)))`
51.2%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch53.0ms (1%)

Memory

14.8MiB live, 106.8MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	3.8927135086184445e-10	2.685712932020001e+25
19.0ms	-5.549649000166585e+36	-3.6544819088026323e+28

Samples

28.0ms

320×

valid

Compiler

Compiled 1 464 to 1 060 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (39.3% of total)

ival-mult: 7.0ms (34.4% of total)

ival-sub: 3.0ms (14.7% of total)

ival-pi: 1.0ms (4.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.8927135086184445e-10	2.685712932020001e+25
1.0ms	-5.549649000166585e+36	-3.6544819088026323e+28

Compiler

Compiled 1 264 to 940 computations (25.6% saved)

simplify53.0ms (1%)

Memory

2.7MiB live, 101.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	267
1	94	253
2	195	253
3	691	253
4	4588	253

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (+.f64 b b) a))
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
(if (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 30000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (.f64 b a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))))
(if (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 30000000000 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 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (+.f64 b b) a))
(/.f64 (PI.f64) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))
(if (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 30000000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (.f64 b a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) (not (<=.f64 a #s(literal 30000000000 binary64)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (* (/ (PI) b) a) (PI))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 b (*.f64 b a)))))
(if (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 30000000000 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 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 a #s(literal -549999999999999984477895850459136 binary64)) (not (<=.f64 a #s(literal 30000000000 binary64)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

derivations263.0ms (5%)

Memory

1.4MiB live, 204.4MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 267 to 63 computations (76.4% saved)

preprocess64.0ms (1.2%)

Memory: 2.1MiB live, 45.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 576 to 156 computations (72.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze103.0ms (2%)

sample1.8s (34.4%)

explain182.0ms (3.5%)

preprocess207.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.3%)

simplify187.0ms (3.6%)

rewrite543.0ms (10.4%)

eval48.0ms (0.9%)

prune11.0ms (0.2%)

series47.0ms (0.9%)

simplify196.0ms (3.7%)

rewrite82.0ms (1.6%)

eval145.0ms (2.8%)

prune37.0ms (0.7%)

series69.0ms (1.3%)

simplify190.0ms (3.6%)

rewrite158.0ms (3%)

eval111.0ms (2.1%)

prune31.0ms (0.6%)

series59.0ms (1.1%)

simplify176.0ms (3.4%)

rewrite137.0ms (2.6%)

eval71.0ms (1.3%)

prune90.0ms (1.7%)

regimes48.0ms (0.9%)

regimes17.0ms (0.3%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes15.0ms (0.3%)

bsearch53.0ms (1%)

bsearch3.0ms (0.1%)

simplify53.0ms (1%)

derivations263.0ms (5%)

preprocess64.0ms (1.2%)

end0.0ms (0%)

Profiling