Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

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

analyze118.0ms (1.9%)

Memory

1.2MiB live, 144.0MiB allocated; 18ms 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)

sample2.2s (36%)

Memory

-16.0MiB live, 2 205.1MiB allocated; 1.3s collecting garbage

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-div: 796.0ms (60.5% of total)

ival-mult: 362.0ms (27.5% of total)

ival-sub: 86.0ms (6.5% of total)

ival-pi: 51.0ms (3.9% of total)

exact: 9.0ms (0.7% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain194.0ms (3.1%)

Memory

-25.5MiB live, 257.7MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
36	-	1	(-1.8016774712791222e+158 -2.7806470934713578e-157)	`(.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)))`
17	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
3	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	35	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	17	0
↳	`(*.f64 b b)`	overflow	64
↳	`(*.f64 a a)`	overflow	58
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	3	0
↳	`(*.f64 b b)`	overflow	64
↳	`(*.f64 a a)`	overflow	58
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	105

Confusion

	Predicted +	Predicted -
+	53	7
-	2	194

Precision

0.9636363636363636

Recall

0.8833333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	7
-	2	0	194

Precision?

0.9636363636363636

Recall?

0.8833333333333333

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 36.0ms (65.2% of total)

ival-mult: 12.0ms (21.7% of total)

ival-sub: 4.0ms (7.2% of total)

ival-pi: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess172.0ms (2.8%)

Memory

26.8MiB live, 216.2MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	132
1	125	116
2	451	114
3	2223	114
4	6358	114
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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify158.0ms (2.5%)

Memory

-9.4MiB live, 129.2MiB allocated; 21ms 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)

localize38.0ms (0.6%)

Memory

30.7MiB live, 72.0MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.44767595923538894	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.746079300811441	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.172107572215593	(.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

28.0ms

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 (43.4% of total)

ival-mult: 6.0ms (37.2% of total)

ival-sub: 2.0ms (12.4% 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)

series14.0ms (0.2%)

Memory

-21.2MiB live, 24.6MiB allocated; 3ms 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
4.0ms	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	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	b	@	0	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))
1.0ms	a	@	-inf	((* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) 2) (PI) (- (* b b) (* a a)) (/ 1 (- (* b b) (* a a))))

simplify229.0ms (3.7%)

Memory

16.7MiB live, 206.6MiB allocated; 33ms 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)))

rewrite75.0ms (1.2%)

Memory

-10.2MiB live, 95.9MiB allocated; 12ms 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)))

eval22.0ms (0.4%)

Memory: 6.9MiB live, 52.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 201 to 839 computations (83.9% saved)

prune14.0ms (0.2%)

Memory

-10.7MiB live, 33.3MiB allocated; 7ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	168	12	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	12	181

Accuracy

87.4%

Counts

181 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.1%	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
▶	86.9%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
▶	82.6%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
	50.8%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ 1 (- (* b b) (* a a))) (/.f64 (/.f64 #s(literal 1 binary64) b) b))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	48.3%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(approx (/ 1 (- (* b b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	50.7%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	50.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) b) a) (PI.f64))) b) b) a))
▶	48.5%	#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) a) b) (PI.f64))) a) a) b))
▶	50.8%	#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)))
	48.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
▶	55.6%	#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 692 to 476 computations (31.2% saved)

simplify98.0ms (1.6%)

Memory

15.9MiB live, 161.9MiB allocated; 23ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	370
0	79	370
1	165	364
2	594	340
3	3385	316
0	8039	316

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (2.9%)

Memory

-15.2MiB live, 220.8MiB allocated; 18ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a)
accuracy	0.2265625	(/.f64 (PI.f64) a)
accuracy	6.6296818379629245	(/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64))) a) a) b)
accuracy	28.86703461563158	#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	0.2265625	(/.f64 (PI.f64) a)
accuracy	0.25	(/.f64 (PI.f64) b)
accuracy	4.198876865265879	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) (.f64 b b))
accuracy	27.371593411560927	#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)))
accuracy	0.00390625	(.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))
accuracy	0.2890625	(*.f64 (-.f64 b a) (PI.f64))
accuracy	1.273241131640592	(.f64 (.f64 a b) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a)))
accuracy	9.867703784920904	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) (.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (-.f64 b a))))
accuracy	0.0	(PI.f64)
accuracy	0.325676754111463	(/.f64 (PI.f64) (*.f64 a a))
accuracy	8.320065674770206	(/.f64 (/.f64 (PI.f64) (*.f64 a a)) b)
accuracy	24.222915402884226	#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	0.00390625	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.1640625	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.5060913998190528	(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	28.977179181197677	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))

Samples

122.0ms

256×

valid

Compiler

Compiled 332 to 46 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-add: 33.0ms (35.3% of total)

ival-mult: 32.0ms (34.3% of total)

ival-div: 21.0ms (22.5% of total)

ival-sub: 5.0ms (5.4% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series74.0ms (1.2%)

Memory

-12.2MiB live, 84.7MiB allocated; 9ms collecting garbage

Counts

24 → 179

Calls

Call 1

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

Outputs
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (* (* (/ (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 (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* 1/2 (/ (PI) a))))
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#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) 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 (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (* (/ (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)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (/ (* -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))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	b	@	-inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (- (/ (PI) b) (/ (PI) a)) (* (* (/ (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) (* 2 (* a b)) (* (* a b) (* (* 2 (+ a b)) (- b a))) (* (* 2 (+ a b)) (- b a)) (/ (PI) b) (/ (PI) a))
12.0ms	a	@	inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (- (/ (PI) b) (/ (PI) a)) (* (* (/ (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) (* 2 (* a b)) (* (* a b) (* (* 2 (+ a b)) (- b a))) (* (* 2 (+ a b)) (- b a)) (/ (PI) b) (/ (PI) a))
7.0ms	a	@	0	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (- (/ (PI) b) (/ (PI) a)) (* (* (/ (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) (* 2 (* a b)) (* (* a b) (* (* 2 (+ a b)) (- b a))) (* (* 2 (+ a b)) (- b a)) (/ (PI) b) (/ (PI) a))
6.0ms	b	@	0	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (- (/ (PI) b) (/ (PI) a)) (* (* (/ (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) (* 2 (* a b)) (* (* a b) (* (* 2 (+ a b)) (- b a))) (* (* 2 (+ a b)) (- b a)) (/ (PI) b) (/ (PI) a))
6.0ms	b	@	inf	((* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (/ (PI) (* a a)) b) 1/2) (/ (/ (PI) (* a a)) b) (/ (PI) (* a a)) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (* (- b a) (PI)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (- (/ (PI) b) (/ (PI) a)) (* (* (/ (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) (* 2 (* a b)) (* (* a b) (* (* 2 (+ a b)) (- b a))) (* (* 2 (+ a b)) (- b a)) (/ (PI) b) (/ (PI) a))

simplify236.0ms (3.8%)

Memory

41.1MiB live, 218.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	5990
1	2397	5452
0	10064	5319

Stop Event

1×	iter limit
1×	node limit

Counts

179 → 179

Calls

Call 1

Inputs
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (* (* (/ (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 (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (* -1 (/ (PI) a))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (- (/ (* a (PI)) b) (PI)) a)))
#s(approx (/ (/ (/ (* -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))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) #s(hole binary64 (* -1/2 (/ (* b (PI)) (pow a 3)))))
#s(approx (/ (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) a) #s(hole binary64 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (* a (PI)))) (pow a 3))))
#s(approx (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) #s(hole binary64 (* -1/2 (/ (* b (PI)) (pow a 2)))))
#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 (* 2 (* a b)) #s(hole binary64 (* 2 (* a b))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* 2 (* a (pow b 3)))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* 2 (pow b 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (* -1 (/ (PI) (pow a 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (* (/ (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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* -1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (PI) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (+ (* -1 (/ (PI) a)) (/ (PI) b))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) 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 (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -2 (* (pow a 3) b))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* -2 (pow a 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (* (* (/ (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)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) #s(hole binary64 (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (* (* (/ (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 a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) b)))
#s(approx (/ (/ (/ (* -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 (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))))
#s(approx (/ (PI) b) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))))
#s(approx (* (* (/ (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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (- (/ (PI) b) (/ (PI) a)) #s(hole binary64 (- (/ (PI) b) (/ (PI) a))))
#s(approx (/ (/ (/ (* -1/2 (- (* (/ (PI) 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 (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (* (/ (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)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (/ (* -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))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))))

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

rewrite104.0ms (1.7%)

Memory

-27.6MiB live, 131.1MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	294
0	79	294
1	296	288
0	2487	288

Stop Event

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

Counts

24 → 440

Calls

Call 1

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

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

eval80.0ms (1.3%)

Memory: -3.0MiB live, 132.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 19 880 to 2 256 computations (88.7% saved)

prune27.0ms (0.4%)

Memory

13.3MiB live, 68.5MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	595	18	613
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	604	21	625

Accuracy

100.0%

Counts

625 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(/.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 2 binary64) (.f64 a b)))
	81.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)) a) b))
	53.0%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) #s(approx ( (* 2 (+ a b)) (- b a)) (.f64 (.f64 b b) #s(literal 2 binary64)))))
▶	48.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) #s(approx ( (* 2 (+ a b)) (- b a)) (.f64 (.f64 #s(literal -2 binary64) a) a))))
▶	51.8%	(/.f64 (.f64 #s(approx (/ (PI) ( (+ a b) (- b a))) (/.f64 (PI.f64) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 a b)))
	63.5%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	62.0%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	82.9%	(.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)) (*.f64 b a))))
	50.7%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	48.3%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b))) (.f64 a a)))
	62.8%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
▶	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (/ (* -1/2 (- (* (/ (PI) a) b) (PI))) a) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) a) b))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 (PI.f64) b) (/.f64 (PI.f64) a))) b))
	48.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) b))
	55.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 a) (.f64 b a))))
	49.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (PI.f64) a) b) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 a a) b)))
▶	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
✓	55.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a a)) b) #s(literal 1/2 binary64)))
	55.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))

Compiler

Compiled 1 213 to 820 computations (32.4% saved)

simplify170.0ms (2.7%)

Memory

27.3MiB live, 255.9MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	373
0	89	373
1	194	349
2	612	347
3	2729	347
0	8389	347

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (2.3%)

Memory

-25.1MiB live, 207.1MiB allocated; 49ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(/.f64 (.f64 #s(approx (/ (PI) ( (+ a b) (- b a))) (/.f64 (PI.f64) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 a b)))
accuracy	0.3919369597322646	(/.f64 (PI.f64) (*.f64 b b))
accuracy	28.358126516806905	#s(approx (/ (PI) (* (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b)))
accuracy	28.977179181197677	(.f64 #s(approx (/ (PI) ( (+ a b) (- b a))) (/.f64 (PI.f64) (*.f64 b b))) (-.f64 b a))
accuracy	0.2890625	(*.f64 (-.f64 b a) (PI.f64))
accuracy	1.273241131640592	(.f64 (.f64 a b) #s(approx (* (* 2 (+ a b)) (- b a)) (.f64 (.f64 #s(literal -2 binary64) a) a)))
accuracy	9.867703784920904	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 a b) #s(approx ( (* 2 (+ a b)) (- b a)) (.f64 (.f64 #s(literal -2 binary64) a) a))))
accuracy	30.536905861225826	#s(approx (* (* 2 (+ a b)) (- b a)) (.f64 (.f64 #s(literal -2 binary64) a) a))
accuracy	0.2265625	(/.f64 (PI.f64) a)
accuracy	4.198876865265879	(/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b))
accuracy	27.371593411560927	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
accuracy	30.512855885394412	#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
accuracy	0.0	(PI.f64)
accuracy	0.3291115284150985	(/.f64 (PI.f64) (.f64 (.f64 a a) b))
accuracy	8.232192559934127	(.f64 (.f64 a a) b)
accuracy	24.222915402884226	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.1640625	(/.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.2890625	(*.f64 (-.f64 b a) (PI.f64))
accuracy	29.254471335001632	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (-.f64 b a) (+.f64 b a)))

Samples

115.0ms

256×

valid

Compiler

Compiled 297 to 49 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 52.0ms (56.8% of total)

ival-div: 30.0ms (32.8% of total)

ival-sub: 5.0ms (5.5% of total)

ival-add: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series21.0ms (0.3%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Counts

22 → 191

Calls

Call 1

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

Outputs
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (PI) b)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)))
#s(approx (* (- 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 b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)))
#s(approx (* (/ (PI) (* (* a 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) 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 (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) a)))
#s(approx (* (/ (PI) a) 1/2) #s(hole binary64 (* 1/2 (/ (PI) a))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (* 1/2 (/ (PI) (* a (pow b 2))))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))))
#s(approx (* 2 (* a b)) #s(hole binary64 (* 2 (* a b))))
#s(approx (* (* a a) b) #s(hole binary64 (* (pow a 2) b)))
#s(approx (/ (PI) a) #s(hole binary64 (/ (PI) a)))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* 2 (pow b 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* 2 (* a (pow b 3)))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* a (+ (* 2 (* a (* b (+ b (* -1 b))))) (* 2 (pow b 3))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* a (+ (* 2 (pow b 3)) (* a (+ (* -2 (* a b)) (* 2 (* b (+ b (* -1 b))))))))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (PI) a)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))))
#s(approx (* (- 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 b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (* -1/2 (/ (PI) (pow b 3)))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (PI) (* a (pow b 2)))))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (* -1/2 (/ (PI) b))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a)))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (* 1/2 (/ (PI) (* (pow a 2) b)))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (PI) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (* -1 (/ (PI) (pow a 2)))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* -2 (pow a 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -2 (* (pow a 3) b))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* (pow a 3) (+ (* -2 b) (* 2 (/ (* b (+ b (* -1 b))) a))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (- 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 b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (* (/ (PI) 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)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -1 (* (pow a 3) (+ (* 2 b) (* 2 (/ (* b (+ b (* -1 b))) a)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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 (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) (pow b 3))))
#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) #s(hole binary64 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) b)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))
#s(approx (/ (PI) (* b b)) #s(hole binary64 (/ (PI) (pow b 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* b (+ (* -2 (pow a 3)) (* 2 (* a (* b (+ a (* -1 a)))))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* b (+ (* -2 (pow a 3)) (* b (+ (* 2 (* a b)) (* 2 (* a (+ a (* -1 a))))))))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))))
#s(approx (* (- 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 b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))))
#s(approx (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* (pow b 3) (+ (* 2 a) (* 2 (/ (* a (+ a (* -1 a))) b))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (/ (* (- b a) (PI)) (* (- b a) (+ b a))) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (- 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 (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (* (/ (PI) 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)) (* (* a b) (* (* 2 (+ a b)) (- 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)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))))
#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) #s(hole binary64 (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (/ (PI) (* (+ a b) (- b a))) #s(hole binary64 (/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))))
#s(approx (* (* 2 (+ a b)) (- b a)) #s(hole binary64 (* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- b a))) #s(hole binary64 (* -1 (* (pow b 3) (+ (* -2 a) (* -2 (/ (* a (+ a (* -1 a))) b)))))))
#s(approx (* (* a b) (* (* 2 (+ a b)) (- 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
3.0ms	b	@	-inf	((/ (* (- b a) (PI)) (* (- b a) (+ b a))) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (- b a) (PI)) (- b a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (/ (PI) a) 1/2) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (* 2 (* a b)) (* (* a a) b) (/ (PI) a) (* (* 2 (+ a b)) (- b a)) (* (* a b) (* (* 2 (+ a b)) (- b a))))
3.0ms	a	@	-inf	((/ (* (- b a) (PI)) (* (- b a) (+ b a))) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (- b a) (PI)) (- b a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (/ (PI) a) 1/2) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (* 2 (* a b)) (* (* a a) b) (/ (PI) a) (* (* 2 (+ a b)) (- b a)) (* (* a b) (* (* 2 (+ a b)) (- b a))))
3.0ms	a	@	0	((/ (* (- b a) (PI)) (* (- b a) (+ b a))) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (- b a) (PI)) (- b a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (/ (PI) a) 1/2) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (* 2 (* a b)) (* (* a a) b) (/ (PI) a) (* (* 2 (+ a b)) (- b a)) (* (* a b) (* (* 2 (+ a b)) (- b a))))
3.0ms	a	@	inf	((/ (* (- b a) (PI)) (* (- b a) (+ b a))) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (- b a) (PI)) (- b a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (/ (PI) a) 1/2) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (* 2 (* a b)) (* (* a a) b) (/ (PI) a) (* (* 2 (+ a b)) (- b a)) (* (* a b) (* (* 2 (+ a b)) (- b a))))
3.0ms	b	@	inf	((/ (* (- b a) (PI)) (* (- b a) (+ b a))) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (- b a) (PI)) (- b a) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (* a a) b)) 1/2) (/ (PI) (* (* a a) b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* b b)) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (/ (PI) a) 1/2) (/ (* (- b a) (PI)) (* (* a b) (* (* 2 (+ a b)) (- b a)))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) (* (+ a b) (- b a))) (/ (PI) (* b b)) (* 2 (* a b)) (* (* a a) b) (/ (PI) a) (* (* 2 (+ a b)) (- b a)) (* (* a b) (* (* 2 (+ a b)) (- b a))))

simplify252.0ms (4.1%)

Memory

-51.3MiB live, 211.1MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	6798
1	2298	5585
0	9637	5416

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 191

Calls

Call 1

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

rewrite94.0ms (1.5%)

Memory

14.3MiB live, 72.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	302
0	89	302
1	316	268
0	2606	268

Stop Event

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

Counts

22 → 294

Calls

Call 1

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

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

eval62.0ms (1%)

Memory: -0.2MiB live, 128.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 16 420 to 1 743 computations (89.4% saved)

prune83.0ms (1.3%)

Memory

-20.1MiB live, 41.4MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	525	9	534
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	538	17	555

Accuracy

100.0%

Counts

555 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.5%	(/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 #s(literal 2 binary64) a)) b)
▶	99.7%	(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
	48.5%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 #s(approx ( (* 2 (+ a b)) (- b a)) (.f64 (.f64 #s(literal -2 binary64) a) a)) b) a))
	98.8%	(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 (*.f64 a b) #s(literal 2 binary64))))
	63.5%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	62.0%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	82.9%	(.f64 (PI.f64) (/.f64 (-.f64 b a) (.f64 (.f64 (.f64 #s(literal 2 binary64) (-.f64 b a)) (+.f64 b a)) (*.f64 b a))))
▶	57.0%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	62.8%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
	61.8%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
▶	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
▶	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
▶	63.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
✓	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b b)) a) #s(literal 1/2 binary64)))
✓	55.6%	#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 781 to 531 computations (32% saved)

simplify195.0ms (3.1%)

Memory

-9.8MiB live, 179.7MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	302
0	84	302
1	177	276
2	533	276
3	2459	268
0	8744	268

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (3.8%)

Memory

22.4MiB live, 259.8MiB allocated; 57ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(/.f64 (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b)
accuracy	0.2265625	(/.f64 (PI.f64) a)
accuracy	27.371593411560927	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
accuracy	30.512855885394412	#s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
accuracy	0.25	(/.f64 (PI.f64) b)
accuracy	0.2737121018159581	(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
accuracy	8.317129512522543	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
accuracy	24.222915402884226	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))
accuracy	0.5762239674970138	(/.f64 (PI.f64) (.f64 (.f64 b b) a))
accuracy	6.679624396810324	(.f64 (.f64 b b) a)
accuracy	23.277816717416787	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
accuracy	0.162441259768442	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.30703537165934813	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	8.232192559934127	(.f64 (.f64 a a) b)
accuracy	24.222915402884226	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
accuracy	0.0	(PI.f64)
accuracy	0.00390625	(.f64 (.f64 a b) #s(literal 2 binary64))
accuracy	0.1640625	(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
accuracy	0.25390625	(/.f64 (PI.f64) (+.f64 a b))

Samples

172.0ms

256×

valid

Compiler

Compiled 236 to 50 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 71.0ms (53.6% of total)

ival-sub: 32.0ms (24.1% of total)

ival-div: 24.0ms (18.1% of total)

ival-add: 3.0ms (2.3% of total)

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series49.0ms (0.8%)

Memory

28.4MiB live, 72.6MiB allocated; 6ms collecting garbage

Counts

22 → 128

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	a	@	inf	((/ (/ (PI) (+ a b)) (* (* a b) 2)) (/ (PI) (+ a b)) (PI) (+ a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) b) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (* a b) 2) (* (* a a) b) (* (* b b) a) (/ 1/2 (* a a)) (/ (PI) a))
4.0ms	a	@	-inf	((/ (/ (PI) (+ a b)) (* (* a b) 2)) (/ (PI) (+ a b)) (PI) (+ a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) b) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (* a b) 2) (* (* a a) b) (* (* b b) a) (/ 1/2 (* a a)) (/ (PI) a))
4.0ms	a	@	0	((/ (/ (PI) (+ a b)) (* (* a b) 2)) (/ (PI) (+ a b)) (PI) (+ a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) b) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (* a b) 2) (* (* a a) b) (* (* b b) a) (/ 1/2 (* a a)) (/ (PI) a))
4.0ms	b	@	-inf	((/ (/ (PI) (+ a b)) (* (* a b) 2)) (/ (PI) (+ a b)) (PI) (+ a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) b) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (* a b) 2) (* (* a a) b) (* (* b b) a) (/ 1/2 (* a a)) (/ (PI) a))
4.0ms	b	@	inf	((/ (/ (PI) (+ a b)) (* (* a b) 2)) (/ (PI) (+ a b)) (PI) (+ a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (PI) (/ 1/2 (* (* a a) b))) (/ 1/2 (* (* a a) b)) (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) b) (/ (* -1/2 (- (/ (PI) b) (/ (PI) a))) b) (* -1/2 (- (/ (PI) b) (/ (PI) a))) (* (* a b) 2) (* (* a a) b) (* (* b b) a) (/ 1/2 (* a a)) (/ (PI) a))

simplify230.0ms (3.7%)

Memory

-20.4MiB live, 268.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	437	4284
1	1131	3776
2	4126	3720
0	8399	3644

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 128

Calls

Call 1

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

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

rewrite100.0ms (1.6%)

Memory

-9.0MiB live, 82.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	266
0	84	266
1	310	232
0	2430	232

Stop Event

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

Counts

22 → 331

Calls

Call 1

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

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

eval54.0ms (0.9%)

Memory: 32.3MiB live, 75.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 245 to 1 327 computations (88.2% saved)

prune51.0ms (0.8%)

Memory

-18.8MiB live, 79.7MiB allocated; 12ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	383	9	392
Fresh	7	2	9
Picked	0	5	5
Done	0	3	3
Total	390	19	409

Accuracy

100.0%

Counts

409 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.4%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 (+.f64 b a) #s(literal 2 binary64))) b) a)
✓	99.7%	(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
	63.5%	(/.f64 (/.f64 (PI.f64) #s(approx (+ a b) b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
	62.0%	(/.f64 (/.f64 (PI.f64) #s(approx (+ a b) a)) (.f64 (.f64 a b) #s(literal 2 binary64)))
	98.8%	(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 (*.f64 a b) #s(literal 2 binary64))))
	57.1%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b b)) a))
	57.2%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (/.f64 (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64)) a))
✓	57.0%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	62.8%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
	63.5%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	57.0%	#s(approx (/ (/ (* (- b a) (PI)) (* (- b a) (+ b a))) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
	62.0%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) a) a))
	61.8%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
✓	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
✓	55.6%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
✓	63.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) b) b))
✓	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* -1/2 (- (/ (PI) b) (/ (PI) a))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
✓	55.6%	#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 1 815 to 572 computations (68.5% saved)

regimes59.0ms (0.9%)

Memory

-19.9MiB live, 70.7MiB allocated; 7ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	a
12.0ms	b
10.0ms	(.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
99.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes16.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`b`
98.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
98.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes8.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	b
3.0ms	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
68.3%	3	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
88.1%	3	`a`
86.7%	3	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
61.8%	1	`b`
61.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

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
55.6%	1	`b`
55.6%	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)))`
55.6%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes40.0ms (0.7%)

Memory

-62.3MiB live, 6.3MiB allocated; 10ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
55.6%	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)))`
55.6%	1	`b`
55.6%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch40.0ms (0.6%)

Memory

43.0MiB live, 43.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.5811204444140684e-34	1.6157108794105926e-31
18.0ms	-4.1381994937316435e-21	-2.4733727642729413e-28

Samples

23.0ms

272×

valid

Compiler

Compiled 1 010 to 700 computations (30.7% saved)

Precisions

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

ival-div: 7.0ms (41.7% of total)

ival-mult: 6.0ms (35.7% of total)

ival-sub: 2.0ms (11.9% of total)

ival-pi: 1.0ms (6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify64.0ms (1%)

Memory

-10.7MiB live, 79.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	176
1	68	176
2	172	146
3	636	136
4	2762	136

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 (*.f64 a b) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -5444517870735015/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 5553706221857431/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ ( (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) b)) #s(literal 1/2 binary64))) #s(approx (/ ( (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (.f64 a b) #s(literal 2 binary64)))
(/.f64 (PI.f64) (.f64 (+.f64 a b) (.f64 (*.f64 a b) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -5444517870735015/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) (if (<=.f64 a #s(literal 5553706221857431/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (/ ( (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) b)) #s(literal 1/2 binary64))) #s(approx (/ ( (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))))
(if (or (<=.f64 a #s(literal -5444517870735015/340282366920938463463374607431768211456 binary64)) (not (<=.f64 a #s(literal 5553706221857431/2923003274661805836407369665432566039311865085952 binary64)))) #s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx (/ ( (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

derivations129.0ms (2.1%)

Memory

-5.8MiB live, 137.2MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 176 to 46 computations (73.9% saved)

preprocess31.0ms (0.5%)

Memory: -5.4MiB live, 40.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 394 to 122 computations (69% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze118.0ms (1.9%)

sample2.2s (36%)

explain194.0ms (3.1%)

preprocess172.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (2.5%)

localize38.0ms (0.6%)

series14.0ms (0.2%)

simplify229.0ms (3.7%)

rewrite75.0ms (1.2%)

eval22.0ms (0.4%)

prune14.0ms (0.2%)

simplify98.0ms (1.6%)

localize181.0ms (2.9%)

series74.0ms (1.2%)

simplify236.0ms (3.8%)

rewrite104.0ms (1.7%)

eval80.0ms (1.3%)

prune27.0ms (0.4%)

simplify170.0ms (2.7%)

localize144.0ms (2.3%)

series21.0ms (0.3%)

simplify252.0ms (4.1%)

rewrite94.0ms (1.5%)

eval62.0ms (1%)

prune83.0ms (1.3%)

simplify195.0ms (3.1%)

localize238.0ms (3.8%)

series49.0ms (0.8%)

simplify230.0ms (3.7%)

rewrite100.0ms (1.6%)

eval54.0ms (0.9%)

prune51.0ms (0.8%)

regimes59.0ms (0.9%)

regimes16.0ms (0.3%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes40.0ms (0.7%)

bsearch40.0ms (0.6%)

simplify64.0ms (1%)

derivations129.0ms (2.1%)

preprocess31.0ms (0.5%)

end0.0ms (0%)

Profiling