Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze118.0ms (2%)

Memory

10.5MiB live, 201.9MiB allocated; 33ms 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)

sample2.1s (34.8%)

Memory

-53.8MiB live, 1 866.4MiB allocated; 1.2s collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 758.0ms

ival-div: 352.0ms (46.4% of total)

ival-mult: 272.0ms (35.9% of total)

ival-sub: 77.0ms (10.2% of total)

ival-pi: 38.0ms (5% of total)

exact: 8.0ms (1.1% of total)

ival-true: 5.0ms (0.7% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain219.0ms (3.6%)

Memory

11.0MiB live, 259.3MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
22	0	-	3	(-4.3415613938700745e-162 -3.5048845400192135e+161)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
14	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
5	2	(2.5651636173050426e+161 1.8580546729712853e+115)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	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**	18	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	14	0
↳	`(*.f64 b b)`	overflow	65
↳	`(*.f64 a a)`	overflow	49
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	7	0
↳	`(*.f64 b b)`	overflow	65
↳	`(*.f64 a a)`	overflow	49
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	100
`*.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)))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	38	7
-	2	209

Precision

0.95

Recall

0.8444444444444444

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	7
-	2	0	209

Precision?

0.95

Recall?

0.8444444444444444

Freqs

test

number	freq
0	216
1	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 14.0ms (37.5% of total)

ival-mult: 12.0ms (32.1% of total)

ival-sub: 8.0ms (21.4% of total)

ival-pi: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess161.0ms (2.7%)

Memory

-17.4MiB live, 168.0MiB allocated; 20ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify146.0ms (2.4%)

Memory

-7.9MiB live, 130.2MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	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)))
cost-diff	2	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	77
1	50	73
2	147	73
3	621	73
4	4164	73
0	8321	73

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.6%)

Memory

27.1MiB live, 72.7MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.8360264407277125	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.1015501149812352	(-.f64 (.f64 b b) (.f64 a a))
accuracy	4.614469757206389	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

27.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (43.2% of total)

ival-mult: 6.0ms (37% of total)

ival-sub: 2.0ms (12.3% of total)

ival-pi: 1.0ms (6.2% 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)

series18.0ms (0.3%)

Memory

-20.3MiB live, 23.9MiB allocated; 13ms collecting garbage

Counts

6 → 52

Calls

Call 1

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

Outputs
#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 (* (* (/ (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 (- (* 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 (- (* 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 (* (/ (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 (* (* (/ (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 (- (* 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 (- (* 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 (* (* (/ (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)))) #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 (* (* (/ (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 (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#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 (* (/ (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 (* (* (/ (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 (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (* (* (/ (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
7.0ms	b	@	-inf	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	a	@	0	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	b	@	inf	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	a	@	inf	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
2.0ms	b	@	0	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify220.0ms (3.7%)

Memory

38.1MiB live, 225.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	1925
1	986	1815
2	4752	1803
0	8680	1760

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

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

rewrite76.0ms (1.3%)

Memory

-10.9MiB live, 98.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	26	54
1	112	50
0	1004	50

Stop Event

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

Counts

6 → 135

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.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 (/.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 (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)
(*.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 (/.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)))

eval23.0ms (0.4%)

Memory: -11.2MiB live, 34.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 201 to 839 computations (83.9% saved)

prune12.0ms (0.2%)

Memory

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

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	166	14	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	167	14	181

Accuracy

93.4%

Counts

181 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
	91.9%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	85.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
	85.5%	(/.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))
	92.7%	(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	35.6%	(.f64 (.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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	92.7%	(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
▶	55.1%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 b b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	55.5%	#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))
▶	51.0%	#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))
	55.1%	#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)))
▶	50.0%	#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)))
	62.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
▶	60.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))

Compiler

Compiled 750 to 512 computations (31.7% saved)

simplify187.0ms (3.1%)

Memory

-6.0MiB live, 130.1MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 b b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	2	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- ( b b) (* a a)) (*.f64 b b))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
cost-diff	0	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a)
cost-diff	0	(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)
cost-diff	0	#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))
cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
cost-diff	0	#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)))
cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
cost-diff	0	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
cost-diff	0	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	2	(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	403
0	79	403
1	143	389
2	382	389
3	1307	389
4	6070	389
0	8220	389

Stop Event

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

Calls

Call 1

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

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

localize127.0ms (2.1%)

Memory

28.8MiB live, 262.0MiB allocated; 40ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- ( b b) (* a a)) (*.f64 b b))))
accuracy	0.8360264407277125	(/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 b b)))
accuracy	4.614469757206389	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 b b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy	27.534075227443836	#s(approx (- (* b b) (* a a)) (*.f64 b b))
accuracy	0.21484375	(*.f64 (/.f64 (PI.f64) a) b)
accuracy	0.3046875	(/.f64 (PI.f64) a)
accuracy	5.906103215242975	(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)
accuracy	29.14196485094898	#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))
accuracy	0.27734375	(/.f64 (PI.f64) b)
accuracy	0.3046875	(/.f64 (PI.f64) a)
accuracy	2.9262309000685627	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a))
accuracy	29.14196485094898	#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)))
accuracy	0.0	(PI.f64)
accuracy	0.5990372005938867	(/.f64 (PI.f64) (*.f64 a a))
accuracy	5.205555876281395	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy	22.49809981369009	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
accuracy	0.029628759768442016	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy	0.209316259768442	(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
accuracy	0.296875	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b))
accuracy	4.614469757206389	(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

100.0ms

256×

valid

Compiler

Compiled 349 to 39 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 21.0ms (44.2% of total)

ival-mult: 18.0ms (37.9% of total)

ival-sub: 5.0ms (10.5% of total)

ival-pi: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (1%)

Memory

-26.7MiB live, 118.5MiB allocated; 28ms collecting garbage

Counts

25 → 159

Calls

Call 1

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

Outputs
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (* 1/2 (/ (PI) (pow b 2)))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (* a (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (/ (* (+ b (* -1 b)) (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (pow b 2))))) (* 1/2 (- (* -1 (/ (PI) (pow b 3))) (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))) a)))
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#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) #s(hole binary64 (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))))
#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 a) (/ 1 b)) #s(hole binary64 (/ (- (/ b a) 1) b)))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (- (* b b) (* a a)) #s(hole binary64 (- (pow b 2) (pow a 2))))
#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 (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b)))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))))) (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)) b))))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)))
#s(approx (* (* (/ (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 (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b))))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) #s(hole binary64 (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (PI) (* (pow a 2) b)))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) #s(hole binary64 (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (PI) (* a 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)))) #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 (- (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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 (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a))) (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))) b))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* (+ a (* -1 a)) (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* 1/2 (+ (* -1 (* (+ a (* -1 a)) (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) (* a (PI))))) b)) (* -1/2 (- (* -1 (PI)) (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))))
#s(approx (/ (/ (PI) 2) (+ a b)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))))
#s(approx (* (* (/ (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) a) b) (PI))) a) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (PI) (* (pow a 2) b))) (* 1/2 (/ (PI) (pow a 3))))))))
#s(approx (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (PI) (* a b))) (* 1/2 (/ (PI) (pow a 2))))))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	((* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) 2) (+ a b)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (PI) (- (/ 1 a) (/ 1 b)) (/ (PI) a) (/ (PI) b) (* (/ (PI) a) b) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
10.0ms	b	@	-inf	((* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) 2) (+ a b)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (PI) (- (/ 1 a) (/ 1 b)) (/ (PI) a) (/ (PI) b) (* (/ (PI) a) b) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
8.0ms	a	@	0	((* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) 2) (+ a b)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (PI) (- (/ 1 a) (/ 1 b)) (/ (PI) a) (/ (PI) b) (* (/ (PI) a) b) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
6.0ms	b	@	0	((* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) 2) (+ a b)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (PI) (- (/ 1 a) (/ 1 b)) (/ (PI) a) (/ (PI) b) (* (/ (PI) a) b) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
6.0ms	b	@	inf	((* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (* (* (/ (/ (PI) 2) (+ a b)) (/ 1 (- b a))) (- (/ 1 a) (/ 1 b))) (/ (/ (PI) 2) (+ a b)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) a) (/ (PI) b))) (* a a)) (* -1/2 (- (/ (PI) a) (/ (PI) b))) (- (/ (PI) a) (/ (PI) b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) b) (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (PI) (- (/ 1 a) (/ 1 b)) (/ (PI) a) (/ (PI) b) (* (/ (PI) a) b) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify215.0ms (3.6%)

Memory

-15.4MiB live, 272.3MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	922	6199
1	2944	6156
0	8263	5954

Stop Event

1×	iter limit
1×	node limit

Counts

159 → 159

Calls

Call 1

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

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

rewrite140.0ms (2.3%)

Memory

2.6MiB live, 149.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	321
0	79	321
1	272	307
0	2256	307

Stop Event

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

Counts

25 → 355

Calls

Call 1

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

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

eval71.0ms (1.2%)

Memory: 15.4MiB live, 158.8MiB allocated; 17ms collecting garbage
Compiler: Compiled 19 742 to 2 254 computations (88.6% saved)

prune22.0ms (0.4%)

Memory

18.5MiB live, 65.6MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	538	12	550
Fresh	6	3	9
Picked	4	1	5
Done	0	0	0
Total	548	16	564

Accuracy

100.0%

Counts

564 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.7%	(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))) (+.f64 b a))
▶	99.3%	(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (*.f64 b a)))
	56.6%	(/.f64 (.f64 (/.f64 (PI.f64) #s(approx (- ( b b) (* a a)) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 b a)))
▶	85.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a))))
	54.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 #s(approx (- (* b b) (* a a)) (*.f64 b b)) #s(literal 2 binary64))))
	65.1%	(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
	55.5%	#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))
	61.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
	55.1%	#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)))
	60.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a)))
▶	62.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
✓	60.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
	64.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b a)) #s(literal 1/2 binary64)))
▶	53.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
▶	62.9%	#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)))
	58.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b)) b)))

Compiler

Compiled 919 to 628 computations (31.7% saved)

simplify141.0ms (2.3%)

Memory

13.9MiB live, 148.1MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))
cost-diff	0	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a)
cost-diff	0	(*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	8	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a))))
cost-diff	0	(/.f64 (PI.f64) (*.f64 b b))
cost-diff	0	(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
cost-diff	0	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 (.f64 b b) a))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
cost-diff	0	#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)))
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
cost-diff	0	(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (*.f64 b a)))
cost-diff	8	(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	319
0	74	311
1	144	305
2	457	289
3	2337	265
4	7838	265
0	8011	265

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.9%)

Memory

-0.1MiB live, 144.0MiB allocated; 38ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(/.f64 (PI.f64) b)
accuracy	0.3046875	(/.f64 (PI.f64) a)
accuracy	0.3862485245642396	(/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a)
accuracy	29.14196485094898	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	0.0	(PI.f64)
accuracy	0.1875	(*.f64 (-.f64 b a) (PI.f64))
accuracy	1.4471745901448672	(.f64 (.f64 b a) (.f64 (.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a)))
accuracy	7.718049877950076	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a))))
accuracy	0.0	(PI.f64)
accuracy	0.6642823733635074	(/.f64 (PI.f64) (*.f64 b b))
accuracy	5.058404384412864	(/.f64 (/.f64 (PI.f64) (*.f64 b b)) a)
accuracy	21.224971785793254	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
accuracy	0.0	(PI.f64)
accuracy	0.2176516678456011	(/.f64 (PI.f64) (.f64 (.f64 b b) a))
accuracy	5.150219973391043	(.f64 (.f64 b b) a)
accuracy	21.224971785793254	#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)))
accuracy	0.1171875	(.f64 (+.f64 b a) (.f64 b a))
accuracy	0.29296875	(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))
accuracy	0.3125	(*.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a))
accuracy	0.4300473969372134	(/.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (*.f64 b a)))

Samples

147.0ms

256×

valid

Compiler

Compiled 287 to 43 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 58.0ms (53.6% of total)

ival-sub: 26.0ms (24% of total)

ival-mult: 21.0ms (19.4% of total)

ival-pi: 1.0ms (0.9% of total)

ival-add: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory

-12.5MiB live, 34.5MiB allocated; 6ms collecting garbage

Counts

24 → 137

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	a	@	0	((* (/ (/ (PI) 2) (- b a)) (- b a)) (/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (/ (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b b)) a) 1/2) (/ (/ (PI) (* b b)) a) (/ (PI) (* b b)) (/ (* (- b a) (PI)) (* (* b a) (* (* (+ b a) 2) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* b a)) (* (* b b) a) (* (* b a) (* (* (+ b a) 2) (- b a))) (/ (PI) a) (/ (PI) b))
6.0ms	b	@	-inf	((* (/ (/ (PI) 2) (- b a)) (- b a)) (/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (/ (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b b)) a) 1/2) (/ (/ (PI) (* b b)) a) (/ (PI) (* b b)) (/ (* (- b a) (PI)) (* (* b a) (* (* (+ b a) 2) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* b a)) (* (* b b) a) (* (* b a) (* (* (+ b a) 2) (- b a))) (/ (PI) a) (/ (PI) b))
4.0ms	a	@	-inf	((* (/ (/ (PI) 2) (- b a)) (- b a)) (/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (/ (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b b)) a) 1/2) (/ (/ (PI) (* b b)) a) (/ (PI) (* b b)) (/ (* (- b a) (PI)) (* (* b a) (* (* (+ b a) 2) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* b a)) (* (* b b) a) (* (* b a) (* (* (+ b a) 2) (- b a))) (/ (PI) a) (/ (PI) b))
4.0ms	b	@	inf	((* (/ (/ (PI) 2) (- b a)) (- b a)) (/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (/ (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b b)) a) 1/2) (/ (/ (PI) (* b b)) a) (/ (PI) (* b b)) (/ (* (- b a) (PI)) (* (* b a) (* (* (+ b a) 2) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* b a)) (* (* b b) a) (* (* b a) (* (* (+ b a) 2) (- b a))) (/ (PI) a) (/ (PI) b))
4.0ms	b	@	0	((* (/ (/ (PI) 2) (- b a)) (- b a)) (/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (/ (/ (PI) 2) (- b a)) (/ (PI) 2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* b b)) a) 1/2) (/ (/ (PI) (* b b)) a) (/ (PI) (* b b)) (/ (* (- b a) (PI)) (* (* b a) (* (* (+ b a) 2) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (- (/ (PI) a) (/ (PI) b)) a) (/ -1/2 a)) (/ (- (/ (PI) a) (/ (PI) b)) a) (- (/ (PI) a) (/ (PI) b)) (* (+ b a) (* b a)) (* (* b b) a) (* (* b a) (* (* (+ b a) 2) (- b a))) (/ (PI) a) (/ (PI) b))

simplify165.0ms (2.7%)

Memory

-13.0MiB live, 171.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	4293
1	1657	4047
2	7247	4007
0	8818	3918

Stop Event

1×	iter limit
1×	node limit

Counts

137 → 137

Calls

Call 1

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

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

rewrite98.0ms (1.6%)

Memory

36.0MiB live, 81.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	262
0	74	262
1	258	256
0	2136	256

Stop Event

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

Counts

24 → 457

Calls

Call 1

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

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

eval71.0ms (1.2%)

Memory: -12.3MiB live, 128.9MiB allocated; 24ms collecting garbage
Compiler: Compiled 15 462 to 1 777 computations (88.5% saved)

prune22.0ms (0.4%)

Memory

18.3MiB live, 62.2MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	493	11	504
Fresh	7	3	10
Picked	4	1	5
Done	0	1	1
Total	504	16	520

Accuracy

100.0%

Counts

520 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (+.f64 a b))) (-.f64 b a))
▶	87.9%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))))
	63.6%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(approx (- b a) (neg.f64 a)))))
	89.8%	(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) (.f64 (-.f64 b a) #s(literal 2 binary64)))
▶	99.3%	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))
▶	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b)))
	61.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
	60.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a)))
✓	60.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
	64.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b a)) #s(literal 1/2 binary64)))
✓	62.9%	#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)))
	66.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
▶	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
	64.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (neg.f64 (PI.f64)) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
	66.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b))) #s(literal 1/2 binary64)))
▶	62.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))

Compiler

Compiled 870 to 600 computations (31% saved)

simplify225.0ms (3.7%)

Memory

-31.2MiB live, 159.9MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	8	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
cost-diff	0	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) b)
cost-diff	0	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff	0	#s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	0	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	291
0	70	291
1	152	263
2	477	261
3	2310	261
4	7674	261
0	8017	261

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (2.7%)

Memory

-4.8MiB live, 171.3MiB allocated; 62ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (-.f64 b a) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (+.f64 a b)))
accuracy	0.1171875	(.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))
accuracy	0.1875	(*.f64 (-.f64 b a) (PI.f64))
accuracy	7.718049877950076	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))))
accuracy	0.0	(PI.f64)
accuracy	0.12566376953688402	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b))
accuracy	0.27734375	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
accuracy	21.224971785793254	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b)))
accuracy	0.15072250976844204	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))
accuracy	0.27734375	(/.f64 (PI.f64) b)
accuracy	0.4069826035670618	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy	21.224971785793254	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
accuracy	0.12890625	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a)))
accuracy	0.228239327296119	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))
accuracy	5.150219973391043	(.f64 (.f64 b b) a)
accuracy	21.224971785793254	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
accuracy	0.0	(PI.f64)
accuracy	0.0	#s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	0.1171875	(.f64 (+.f64 b a) (.f64 b a))
accuracy	0.4300473969372134	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))

Samples

139.0ms

256×

valid

Compiler

Compiled 255 to 41 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 46.0ms (47.6% of total)

ival-div: 43.0ms (44.5% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (1%)

Memory

-3.2MiB live, 43.4MiB allocated; 2ms collecting garbage

Counts

21 → 104

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	a	@	inf	((/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (* (/ (/ (PI) 2) (- b a)) (- b a)) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a b))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (/ (* (- b a) (PI)) (* (- b a) (* (* (* a b) 2) (+ a b)))) (* (- b a) (PI)) (- b a) (* (+ b a) (* b a)) (* (* b b) a) (/ 1/2 (* a b)) (* (* (* a b) 2) (+ a b)) (* (- b a) (* (* (* a b) 2) (+ a b))))
3.0ms	b	@	-inf	((/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (* (/ (/ (PI) 2) (- b a)) (- b a)) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a b))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (/ (* (- b a) (PI)) (* (- b a) (* (* (* a b) 2) (+ a b)))) (* (- b a) (PI)) (- b a) (* (+ b a) (* b a)) (* (* b b) a) (/ 1/2 (* a b)) (* (* (* a b) 2) (+ a b)) (* (- b a) (* (* (* a b) 2) (+ a b))))
3.0ms	a	@	-inf	((/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (* (/ (/ (PI) 2) (- b a)) (- b a)) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a b))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (/ (* (- b a) (PI)) (* (- b a) (* (* (* a b) 2) (+ a b)))) (* (- b a) (PI)) (- b a) (* (+ b a) (* b a)) (* (* b b) a) (/ 1/2 (* a b)) (* (* (* a b) 2) (+ a b)) (* (- b a) (* (* (* a b) 2) (+ a b))))
3.0ms	b	@	inf	((/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (* (/ (/ (PI) 2) (- b a)) (- b a)) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a b))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (/ (* (- b a) (PI)) (* (- b a) (* (* (* a b) 2) (+ a b)))) (* (- b a) (PI)) (- b a) (* (+ b a) (* b a)) (* (* b b) a) (/ 1/2 (* a b)) (* (* (* a b) 2) (+ a b)) (* (- b a) (* (* (* a b) 2) (+ a b))))
3.0ms	a	@	0	((/ (* (/ (/ (PI) 2) (- b a)) (- b a)) (* (+ b a) (* b a))) (* (/ (/ (PI) 2) (- b a)) (- b a)) (* 1/2 (PI)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b b) a))) (/ 1/2 (* (* b b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a b))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) b) (* a b)) (/ (* 1/2 (PI)) b) (/ (* (- b a) (PI)) (* (- b a) (* (* (* a b) 2) (+ a b)))) (* (- b a) (PI)) (- b a) (* (+ b a) (* b a)) (* (* b b) a) (/ 1/2 (* a b)) (* (* (* a b) 2) (+ a b)) (* (- b a) (* (* (* a b) 2) (+ a b))))

simplify187.0ms (3.1%)

Memory

-12.3MiB live, 171.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	3458
1	1246	2982
2	5712	2958
0	8021	2899

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

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

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

rewrite108.0ms (1.8%)

Memory

12.2MiB live, 112.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	243
0	70	243
1	255	189
0	2028	189

Stop Event

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

Counts

21 → 399

Calls

Call 1

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

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

eval46.0ms (0.8%)

Memory: 21.5MiB live, 108.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 753 to 1 331 computations (89.6% saved)

prune59.0ms (1%)

Memory

-48.2MiB live, 57.2MiB allocated; 16ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	4	5	9
Picked	2	3	5
Done	0	2	2
Total	433	15	448

Accuracy

100.0%

Counts

448 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) #s(approx (* (* (* a b) 2) (+ a b)) (.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) b))))
	89.8%	(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) (.f64 (-.f64 b a) #s(literal 2 binary64)))
✓	99.3%	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))
	95.7%	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (+.f64 a b) b) a))
	61.0%	(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(approx ( (+ b a) (* b a)) (.f64 (.f64 a a) b)))
✓	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b)))
	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
	60.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a)))
✓	60.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
	64.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b a)) #s(literal 1/2 binary64)))
✓	62.9%	#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)))
	66.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
✓	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
	64.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (neg.f64 (PI.f64)) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
	66.5%	#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 b) b))))

Compiler

Compiled 1 629 to 539 computations (66.9% saved)

regimes46.0ms (0.8%)

Memory

24.6MiB live, 70.8MiB allocated; 2ms collecting garbage

Counts

43 → 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 b) b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))
(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(approx ( (+ b a) (* b a)) (.f64 (.f64 a a) b)))
(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (+.f64 a b) b) a))
(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) a) (.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) a) (/ (PI) b))) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 a b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) b))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 #s(approx (- (* b b) (* a a)) (*.f64 b b)) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 #s(approx (- (/ (PI) a) (/ (PI) b)) (/.f64 (neg.f64 (PI.f64)) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) #s(approx (* (* (* a b) 2) (+ a b)) (.f64 (.f64 (*.f64 a a) #s(literal 2 binary64)) b))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) #s(approx (- b a) (neg.f64 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 b a) (PI.f64)) (.f64 (.f64 b a) (.f64 (*.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 b a))))
(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (.f64 (.f64 (*.f64 a b) #s(literal 2 binary64)) (+.f64 a b))))
(/.f64 (.f64 (/.f64 (PI.f64) #s(approx (- ( b b) (* a a)) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 b 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) 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)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
(/.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (+.f64 a b))) (-.f64 b a))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) a) (/.f64 #s(literal -1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 a b))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.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))) (/.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 (PI.f64) #s(literal 2 binary64)) (-.f64 b a)) (-.f64 b a)) (.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* b b) (* a a)) (*.f64 b b)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b))) (.f64 (-.f64 b a) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (PI.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 b a) a) b) (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 b a))) (+.f64 b a))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(.f64 (.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.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))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (+.f64 (/.f64 (PI.f64) a) (/.f64 (-.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 (*.f64 #s(literal 0 binary64) a) (PI.f64)) a)) b)) b)))
(.f64 (.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 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

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

Calls

3 calls:

24.0ms	a
10.0ms	b
9.0ms	(.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
99.3%	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)))`
99.3%	1	`a`
99.3%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes48.0ms (0.8%)

Memory

-17.8MiB live, 28.9MiB allocated; 3ms collecting garbage

Counts

7 → 2

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

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 b) b))))

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

Calls

3 calls:

42.0ms	(.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	b
2.0ms	a

Results

Accuracy	Segments	Branch
95.7%	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)))`
95.7%	1	`a`
98.9%	2	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes7.0ms (0.1%)

Memory

27.7MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.2%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
84.5%	3	`a`
83.2%	3	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes8.0ms (0.1%)

Memory

-26.3MiB live, 19.0MiB allocated; 4ms collecting garbage

Counts

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

Calls

3 calls:

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)))
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
66.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
66.6%	1	`b`
66.6%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -2.4b remaining (-11%)

Threshold costs -2.4b (-11%)

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 b) b))))

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

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 b) b))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.5%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
66.5%	1	`b`
66.5%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch29.0ms (0.5%)

Memory

-0.9MiB live, 53.3MiB allocated; 18ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-2.561256543262705e+132	-3.827720648897623e+126

Samples

20.0ms

144×

valid

Compiler

Compiled 510 to 380 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 11.0ms (65.3% of total)

ival-mult: 3.0ms (17.8% of total)

ival-pi: 1.0ms (5.9% of total)

ival-sub: 1.0ms (5.9% 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)

bsearch61.0ms (1%)

Memory

-18.4MiB live, 76.3MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	51006295.13470419	19886105056.507263
29.0ms	-1.3902717241391907e-64	-3.8470195982770793e-66

Samples

36.0ms

240×

valid

Compiler

Compiled 954 to 710 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 21.0ms (69.9% of total)

ival-div: 6.0ms (20% of total)

ival-sub: 2.0ms (6.7% of total)

ival-pi: 1.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify60.0ms (1%)

Memory

-1.6MiB live, 92.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	214
1	83	204
2	191	188
3	719	188
4	5402	188

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 b #s(literal -1200000000000000052038690797064698616070394780208763982508493504565917650715989010234406355179386862706348711626861004560592139190272 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 b) b)))) (/.f64 #s(approx ( (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (+.f64 a b) b) a)))
(if (<=.f64 a #s(literal -6284268267087625/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 a a) b))) (if (<=.f64 a #s(literal 56000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) b))))

Outputs
(/.f64 #s(approx (* (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 b #s(literal -1200000000000000052038690797064698616070394780208763982508493504565917650715989010234406355179386862706348711626861004560592139190272 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 b) b)))) (/.f64 #s(approx ( (/ (/ (PI) 2) (- b a)) (- b a)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (*.f64 (+.f64 a b) b) a)))
(if (<=.f64 a #s(literal -6284268267087625/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 a a) b))) (if (<=.f64 a #s(literal 56000000 binary64)) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) b)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a a) b)))))
(if (or (<=.f64 a #s(literal -6284268267087625/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (not (<=.f64 a #s(literal 56000000 binary64)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 a a) b))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) b)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) 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 b) b))))

derivations202.0ms (3.4%)

Memory

15.7MiB live, 150.0MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 214 to 53 computations (75.2% saved)

preprocess27.0ms (0.4%)

Memory: -0.6MiB live, 53.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 470 to 136 computations (71.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze118.0ms (2%)

sample2.1s (34.8%)

explain219.0ms (3.6%)

preprocess161.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify146.0ms (2.4%)

localize36.0ms (0.6%)

series18.0ms (0.3%)

simplify220.0ms (3.7%)

rewrite76.0ms (1.3%)

eval23.0ms (0.4%)

prune12.0ms (0.2%)

simplify187.0ms (3.1%)

localize127.0ms (2.1%)

series59.0ms (1%)

simplify215.0ms (3.6%)

rewrite140.0ms (2.3%)

eval71.0ms (1.2%)

prune22.0ms (0.4%)

simplify141.0ms (2.3%)

localize172.0ms (2.9%)

series57.0ms (0.9%)

simplify165.0ms (2.7%)

rewrite98.0ms (1.6%)

eval71.0ms (1.2%)

prune22.0ms (0.4%)

simplify225.0ms (3.7%)

localize162.0ms (2.7%)

series59.0ms (1%)

simplify187.0ms (3.1%)

rewrite108.0ms (1.8%)

eval46.0ms (0.8%)

prune59.0ms (1%)

regimes46.0ms (0.8%)

regimes48.0ms (0.8%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch29.0ms (0.5%)

bsearch61.0ms (1%)

simplify60.0ms (1%)

derivations202.0ms (3.4%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling