Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze94.0ms (0.9%)

Memory

1.9MiB live, 128.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (11.2%)

Memory

38.7MiB live, 1 590.9MiB allocated

Samples

853.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 655.0ms

ival-div: 280.0ms (42.7% of total)

ival-mult: 242.0ms (36.9% of total)

ival-sub: 84.0ms (12.8% of total)

ival-pi: 32.0ms (4.9% of total)

exact: 9.0ms (1.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain210.0ms (1.9%)

Memory

-13.7MiB live, 294.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
37	1	(-2.0223274317222363e-221 -4.6899215346652385e+271)	4	(-1.2530852931338416e+157 6.297547711952422e-52)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
14	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
8	0	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	34	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	14	0
↳	`(*.f64 b b)`	overflow	71
↳	`(*.f64 a a)`	overflow	64
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	8	0
↳	`(*.f64 b b)`	overflow	71
↳	`(*.f64 a a)`	overflow	64
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	121

Confusion

	Predicted +	Predicted -
+	51	7
-	5	193

Precision

0.9107142857142857

Recall

0.8793103448275862

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	7
-	5	0	193

Precision?

0.9107142857142857

Recall?

0.8793103448275862

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 25.0ms (54.2% of total)

ival-div: 14.0ms (30.3% of total)

ival-sub: 5.0ms (10.8% of total)

ival-pi: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

preprocess228.0ms (2.1%)

Memory

7.4MiB live, 318.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 062×	`lower-fma.f64`
8 062×	`lower-fma.f32`
4 668×	`lower-*.f32`
4 660×	`lower-*.f64`
2 098×	`lower-neg.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	115	95
2	418	95
3	2087	95
4	6060	95
0	15	21
0	26	21
1	46	19
2	108	19
3	393	18
4	1569	17
5	4280	17
0	8405	17

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

Symmetry

(sort a b)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(.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 23 to 15 computations (34.8% saved)

simplify216.0ms (2%)

Memory

5.2MiB live, 340.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 b b) (.f64 a a))
cost-diff	320	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
cost-diff	320	(.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	384	(/.f64 (PI.f64) #s(literal 2 binary64))

Rules

8 062×	`lower-fma.f64`
8 062×	`lower-fma.f32`
4 668×	`lower-*.f32`
4 660×	`lower-*.f64`
2 098×	`lower-neg.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	77
1	46	73
2	108	73
3	393	72
4	1569	71
5	4280	71
0	8405	71

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

localize42.0ms (0.4%)

Memory

19.1MiB live, 95.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	1.213374456250462	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.0468646791510294	(-.f64 (.f64 b b) (.f64 a a))
accuracy	7.489073177203924	(.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 (43.7% of total)

ival-mult: 6.0ms (37.5% of total)

ival-sub: 2.0ms (12.5% of total)

ival-pi: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

-20.4MiB live, 23.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))>
#<alt (+ (* -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))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 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))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (- (* (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)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>

Calls

24 calls:

Time	Variable		Point	Expression
6.0ms	b	@	0	(- (* b b) (* a a))
1.0ms	b	@	0	(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms	b	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	a	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	a	@	inf	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

simplify524.0ms (4.8%)

Memory

-66.6MiB live, 427.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
5 734×	`lower-*.f64`
5 734×	`lower-*.f32`
2 064×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(+ (* -1 (pow a 2)) (pow b 2))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(/ -1 (pow a 2))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ -1 (pow a 2))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))

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

rewrite250.0ms (2.3%)

Memory

-3.6MiB live, 470.1MiB allocated

Rules

6 700×	`lower-*.f32`
6 692×	`lower-*.f64`
4 958×	`lower-fma.f64`
4 958×	`lower-fma.f32`
2 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) a) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(+.f64 (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) a))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a)))))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (neg.f64 b)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
(fma.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) a))
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(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 a a)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 b b)))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 b (.f64 b (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))))
(+.f64 (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))) (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 b (.f64 b (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 a (.f64 a (fma.f64 b b (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a)))
(/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))))) (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b (neg.f64 b) (.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a a)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))

eval103.0ms (1%)

Memory: 1.5MiB live, 195.0MiB allocated
Compiler: Compiled 22 466 to 2 045 computations (90.9% saved)

prune146.0ms (1.3%)

Memory

0.8MiB live, 293.5MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	660	19	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	661	19	680

Accuracy

100.0%

Counts

680 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
	88.3%	(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
	90.4%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	87.2%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 b a) (-.f64 b a)))
	87.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
▶	83.6%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	80.3%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
	76.4%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a))
▶	99.6%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	83.7%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
	99.6%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	87.1%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
▶	83.6%	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
	45.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 b b)))
	42.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
	56.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a)))
	51.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	67.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))

Compiler

Compiled 818 to 486 computations (40.6% saved)

simplify287.0ms (2.7%)

Memory

11.0MiB live, 350.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
cost-diff	1792	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 b a) (-.f64 b a)))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	1344	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
cost-diff	0	(-.f64 b a)
cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
cost-diff	704	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
cost-diff	1088	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))

Rules

5 742×	`lower-fma.f64`
5 742×	`lower-fma.f32`
5 480×	`lower-*.f32`
5 458×	`lower-*.f64`
3 636×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	317
0	63	315
1	152	313
2	616	267
3	3551	267
4	7058	267
0	8174	267

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (1.9%)

Memory

-16.5MiB live, 254.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	1.2493580386236136	(/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
accuracy	7.461732662148047	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (*.f64 b a) (-.f64 b a)))
accuracy	12.883907568065208	(/.f64 (*.f64 b a) (-.f64 b a))
accuracy	0.21484375	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	0.3848944552805662	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	0.7817271072149554	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy	9.318820935065046	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
accuracy	0	(PI.f64)
accuracy	0.21484375	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	0.7817271072149554	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy	9.674972727630669	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	0	(PI.f64)
accuracy	0.140625	(.f64 a (.f64 a b))
accuracy	0.37767113579959044	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
accuracy	20.30903939952302	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
accuracy	0.17578125	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
accuracy	0.1796875	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
accuracy	0.24609375	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
accuracy	13.091309719614879	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

113.0ms

256×

valid

Compiler

Compiled 309 to 40 computations (87.1% saved)

Precisions

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

ival-div: 63.0ms (69.3% of total)

ival-mult: 21.0ms (23.1% of total)

ival-sub: 4.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.4%)

Memory

-14.3MiB live, 95.9MiB allocated

Counts

20 → 408

Calls

Call 1

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

Outputs
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
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#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)>
#<alt (/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)>
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))>
#<alt (* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)>
#<alt (/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)>
#<alt (/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))>
#<alt (/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))>
#<alt (/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (/ b a)) 1))>
#<alt (* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))>
#<alt (* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))>
#<alt a>
#<alt (+ a (/ (pow a 2) b))>
#<alt (- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))>
#<alt (- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))>
#<alt a>
#<alt (+ a (/ (pow a 2) b))>
#<alt (+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))>
#<alt (+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))>
#<alt a>
#<alt (* a (+ 1 (/ a b)))>
#<alt (* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))>
#<alt (* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* -1 (/ (pow b 2) a)))>
#<alt (- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))>
#<alt (- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))>
#<alt (* -1 b)>
#<alt (+ (* -1 b) (* -1 (/ (pow b 2) a)))>
#<alt (+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))>
#<alt (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))>

Calls

102 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(/ (/ (- b a) (* b a)) (- b a))
4.0ms	b	@	inf	(/ (PI) (* 2 (* (- b a) (+ b a))))
3.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
1.0ms	a	@	0	(/ (PI) (* 2 (* (- b a) (+ b a))))
1.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* a b)))

simplify325.0ms (3%)

Memory

-7.8MiB live, 468.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 150×	`lower-fma.f64`
13 150×	`lower-fma.f32`
4 970×	`lower-*.f64`
4 970×	`lower-*.f32`
2 898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	721	6393
1	2205	5837
0	8053	5542

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 402

Calls

Call 1

Inputs
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ -1 b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (* a (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (* a (PI)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(* -2 (pow a 2))
(+ (* -2 (pow a 2)) (* 2 (* b (+ a (* -1 a)))))
(+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))
(+ (* -2 (pow a 2)) (* b (+ (* 2 b) (* 2 (+ a (* -1 a))))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* (pow b 2) (+ 2 (+ (* -2 (/ (pow a 2) (pow b 2))) (* 2 (/ (+ a (* -1 a)) b)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 2 (/ (+ a (* -1 a)) b))))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 2 (* -1 (/ (+ (* -2 (+ a (* -1 a))) (* 2 (/ (pow a 2) b))) b))))
(* 2 (pow b 2))
(+ (* 2 (* a (+ b (* -1 b)))) (* 2 (pow b 2)))
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(+ (* 2 (pow b 2)) (* a (+ (* -2 a) (* 2 (+ b (* -1 b))))))
(* -2 (pow a 2))
(* (pow a 2) (- (* 2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(* (pow a 2) (- (+ (* 2 (/ (+ b (* -1 b)) a)) (* 2 (/ (pow b 2) (pow a 2)))) 2))
(* -2 (pow a 2))
(* (pow a 2) (- (* -2 (/ (+ b (* -1 b)) a)) 2))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))
(* (pow a 2) (- (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (* 2 (+ b (* -1 b)))) a)) 2))
(* 1/2 (/ (PI) a))
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(* 1/2 (/ (PI) b))
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(* 1/2 (/ (PI) b))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(* 1/2 (/ (PI) b))
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(* 1/2 (/ (PI) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)
(* 1/2 (/ (PI) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(/ -1 (* (pow a 3) b))
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))
(/ 1 (* a (pow b 3)))
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)
(/ -1 (* (pow a 3) b))
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))
(/ -1 (* (pow a 3) b))
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(* -1 b)
(* b (- (* -1 (/ b a)) 1))
(* b (- (* b (- (* -1 (/ b (pow a 2))) (/ 1 a))) 1))
(* b (- (* b (- (* b (- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))) 1))
a
(+ a (/ (pow a 2) b))
(- (+ a (/ (pow a 3) (pow b 2))) (* -1 (/ (pow a 2) b)))
(- (+ a (/ (pow a 4) (pow b 3))) (+ (* -1 (/ (pow a 2) b)) (* -1 (/ (pow a 3) (pow b 2)))))
a
(+ a (/ (pow a 2) b))
(+ a (* -1 (/ (- (* -1 (/ (pow a 3) b)) (pow a 2)) b)))
(+ a (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (* -1 (pow a 3))) b)) (pow a 2)) b)))
a
(* a (+ 1 (/ a b)))
(* a (+ 1 (* a (+ (/ 1 b) (/ a (pow b 2))))))
(* a (+ 1 (* a (+ (* a (+ (/ 1 (pow b 2)) (/ a (pow b 3)))) (/ 1 b)))))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(- (+ (* -1 b) (* -1 (/ (pow b 3) (pow a 2)))) (/ (pow b 2) a))
(- (+ (* -1 b) (* -1 (/ (pow b 4) (pow a 3)))) (+ (/ (pow b 2) a) (/ (pow b 3) (pow a 2))))
(* -1 b)
(+ (* -1 b) (* -1 (/ (pow b 2) a)))
(+ (* -1 b) (* -1 (/ (+ (/ (pow b 3) a) (pow b 2)) a)))
(+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b 4) a)) (* -1 (pow b 3))) a)) (pow b 2)) a)))

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

rewrite372.0ms (3.4%)

Memory

27.0MiB live, 549.8MiB allocated

Rules

5 828×	`lower-/.f32`
5 810×	`lower-/.f64`
3 704×	`lower-*.f32`
3 682×	`lower-*.f64`
1 946×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	216
0	63	212
1	305	172
2	3180	172
0	8398	172

Stop Event

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

Counts

20 → 2 426

Calls

Call 1

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

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

eval590.0ms (5.4%)

Memory: 33.9MiB live, 953.3MiB allocated
Compiler: Compiled 97 268 to 5 937 computations (93.9% saved)

prune425.0ms (3.9%)

Memory

-32.0MiB live, 740.3MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	3 745	17	3 762
Fresh	13	1	14
Picked	4	1	5
Done	0	0	0
Total	3 762	19	3 781

Accuracy

100.0%

Counts

3 781 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
	98.9%	(/.f64 (/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (+.f64 b a))) (-.f64 b a))
▶	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
	43.1%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (* (- b a) (+ b a))) (.f64 b (.f64 b #s(literal 2 binary64))))) (/.f64 (*.f64 b a) (-.f64 b a)))
▶	41.4%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
	55.8%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (neg.f64 (.f64 b (.f64 a (*.f64 a a))))))
	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	67.4%	(.f64 (/.f64 #s(approx (/ (- b a) ( b a)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
▶	68.5%	(.f64 #s(approx ( (- b a) (* (PI) 1/2)) (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
	51.3%	#s(approx (/ (/ (PI) (* 2 (* (- b a) (+ b a)))) (/ (* b a) (- b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	67.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
▶	62.7%	#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)))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	67.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (neg.f64 a))))))
▶	62.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))

Compiler

Compiled 592 to 384 computations (35.1% saved)

simplify207.0ms (1.9%)

Memory

34.1MiB live, 348.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) #s(literal -1/2 binary64))
cost-diff	0	(.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (* (- b a) (* (PI) 1/2)) (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))))
cost-diff	320	(.f64 #s(approx ( (- b a) (* (PI) 1/2)) (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
cost-diff	0	#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)))
cost-diff	384	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))
cost-diff	0	(*.f64 #s(literal 2 binary64) (+.f64 b a))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
cost-diff	384	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))

Rules

6 032×	`lower-fma.f64`
6 032×	`lower-fma.f32`
4 338×	`lower-*.f32`
4 306×	`lower-*.f64`
2 440×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	318
0	80	310
1	159	304
2	437	304
3	1401	302
4	4308	300
5	6665	300
0	8173	300

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (1.7%)

Memory

19.5MiB live, 290.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3848944552805662	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	0.7817271072149555	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy	9.318820935065046	(.f64 #s(approx ( (- b a) (* (PI) 1/2)) (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))))
accuracy	28.35313284631127	#s(approx (* (- b a) (* (PI) 1/2)) (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))))
accuracy	0.21484375	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	6.388367325189842	(.f64 a (.f64 b (*.f64 b b)))
accuracy	9.674972727630669	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
accuracy	27.538846456558876	#s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b))))
accuracy	0	(PI.f64)
accuracy	0.8257410142315247	(/.f64 (PI.f64) (*.f64 a a))
accuracy	7.043177201131382	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy	20.30903939952302	#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)))
accuracy	0.15853500976844204	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
accuracy	0.3535095347907601	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
accuracy	7.234642038790303	(.f64 b (.f64 a a))
accuracy	20.30903939952302	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 b a))
accuracy	0	(PI.f64)
accuracy	0.16796875	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
accuracy	0.24609375	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))

Samples

99.0ms

256×

valid

Compiler

Compiled 272 to 42 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 25.0ms (50.2% of total)

ival-div: 18.0ms (36.2% of total)

ival-sub: 3.0ms (6% of total)

ival-pi: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series24.0ms (0.2%)

Memory

-25.0MiB live, 52.7MiB allocated

Counts

23 → 456

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* -1/2 (/ (* (pow b 3) (PI)) (pow a 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2)))))) a)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* 2 b)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (/ (PI) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (* a (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* -1/2 (* a (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))>
#<alt (* 1/2 (* b (PI)))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* -1/2 (* a (PI)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* a (pow b 3))>
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* a (pow b 3))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* a (pow b 3))>
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* a (pow b 3))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* a (pow b 3))>
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<alt (* a (pow b 3))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))>
#<alt (* a (pow b 3))>
#<alt (* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)>
#<alt (/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)>
#<alt (/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))>
#<alt (* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)>
#<alt (/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)>
#<alt (/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))>
#<alt (/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))>
#<alt (/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>

Calls

114 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(* 2 (+ b a))
3.0ms	b	@	inf	(/ (/ (PI) (* 2 (+ b a))) (* b a))
1.0ms	a	@	0	(* a (* b (* b b)))
1.0ms	b	@	inf	(/ 1/2 (* b (* a a)))
0.0ms	b	@	0	(/ 1/2 (* b (* a a)))

simplify282.0ms (2.6%)

Memory

-6.6MiB live, 435.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 008×	`lower-fma.f64`
9 008×	`lower-fma.f32`
3 902×	`lower-*.f64`
3 902×	`lower-*.f32`
3 080×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	5898
1	1363	5648
2	4583	5354
0	8465	5196

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
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(* 1/2 (* b (PI)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (* a (PI)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* -1/2 (* a (PI)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* a (pow b 3))
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* a (pow b 3))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(* a (pow b 3))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (pow a 3) b))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(/ -1 (* (pow a 3) b))
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))
(/ 1 (* a (pow b 3)))
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)
(/ -1 (* (pow a 3) b))
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))
(/ -1 (* (pow a 3) b))
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))

Outputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/.f64 (fma.f64 b (/.f64 (.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) b)) (.f64 (.f64 a a) (.f64 a a))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (.f64 a a) (.f64 a a))) (/.f64 (.f64 b (.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) a) b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (/.f64 (PI.f64) (.f64 b b)) (fma.f64 #s(literal 1/2 binary64) a (/.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) b)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow 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) (.f64 (PI.f64) a)) b)) (neg.f64 b))) (*.f64 b b))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 a a)) b))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 (/.f64 (.f64 (PI.f64) a) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) a) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(/.f64 (fma.f64 (.f64 a a) (fma.f64 a (.f64 (/.f64 (PI.f64) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a #s(literal -1/2 binary64)) b)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(/.f64 (fma.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b)) (.f64 (/.f64 (PI.f64) (.f64 a a)) (fma.f64 #s(literal 1/2 binary64) b (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b))))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) b) a))) a)) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 b b)) a) (.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) b))) a)) a)) (*.f64 a a))
(* 1/2 (/ (PI) a))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)
(+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))
(.f64 (/.f64 (PI.f64) a) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (.f64 b (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)))))
(+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 4))) (* 1/2 (/ (PI) (pow a 3))))))))
(fma.f64 b (fma.f64 b (/.f64 (.f64 b (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (.f64 a a) (.f64 a a))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) a)) b)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) a)) b)) b)
(/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* -1/2 (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) b) (+.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b b)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (*.f64 b b)) (PI.f64)))) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) a) b) (.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 a a)) b) (.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) a))) b)) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (PI))) (* 1/2 (/ (* (pow a 3) (PI)) b))) b)) (* -1/2 (* a (PI)))) b)) (* -1/2 (PI))) b))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (/.f64 (.f64 a (.f64 a a)) b)) (.f64 (PI.f64) (.f64 (*.f64 a a) #s(literal -1/2 binary64)))) b)) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(.f64 (/.f64 (PI.f64) b) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a #s(literal -1/2 binary64)) b)))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (.f64 a (.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b)))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 4))) (* 1/2 (/ (PI) (pow b 3))))))))
(fma.f64 a (fma.f64 (/.f64 (PI.f64) (.f64 b b)) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (.f64 a (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) a))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(* 1/2 (/ (PI) a))
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(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* -1 (* (pow a 3) b))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(.f64 a (.f64 b (fma.f64 a (neg.f64 a) (*.f64 b b))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(.f64 a (.f64 b (fma.f64 a (neg.f64 a) (*.f64 b b))))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(.f64 a (.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 a (*.f64 b (neg.f64 b))) a))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 a (*.f64 b (neg.f64 b))) a))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(.f64 a (.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 a (*.f64 b (neg.f64 b))) a))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(.f64 (.f64 b (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 a (*.f64 b (neg.f64 b))) a))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(.f64 a (.f64 b (*.f64 b b)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(.f64 a (.f64 b (fma.f64 a (neg.f64 a) (*.f64 b b))))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(.f64 a (.f64 b (fma.f64 a (neg.f64 a) (*.f64 b b))))
(* -1 (* (pow a 3) b))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (neg.f64 b)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (neg.f64 b)))
(* -1 (* (pow a 3) b))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(.f64 b (.f64 a (*.f64 a (neg.f64 a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (neg.f64 b)))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (neg.f64 b)))
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 b (.f64 a (*.f64 a a))))
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 5 binary64)))) b)
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a)))) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 9 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 7 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) b)
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b))) (.f64 b (*.f64 b b)))
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b))) (.f64 b (*.f64 b b)))
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))
(/.f64 (+.f64 (/.f64 a (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (.f64 b (*.f64 b b)))
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b))) (.f64 b (*.f64 b b)))
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b))) (.f64 b (*.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 a (.f64 a a)) b) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b)))) (.f64 b (*.f64 b b)))
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)
(/.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) a)
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)
(/.f64 (fma.f64 (.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b)))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)
(/.f64 (fma.f64 a (.f64 a (fma.f64 (.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) a)
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 b (.f64 a (*.f64 a a))))
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a a))) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a a))) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a a))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (.f64 a a)))
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 b (.f64 a (*.f64 a a))))
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a a))) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a a))) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(/.f64 (+.f64 (/.f64 b (.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a a)) (.f64 a a)))) (.f64 a (*.f64 a (neg.f64 a))))

rewrite627.0ms (5.8%)

Memory

1.1MiB live, 488.8MiB allocated

Rules

6 010×	`lower-/.f32`
5 996×	`lower-/.f64`
3 676×	`lower-*.f32`
3 644×	`lower-*.f64`
2 604×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	259
0	80	247
1	293	231
2	2434	231
0	8712	231

Stop Event

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

Counts

23 → 1 057

Calls

Call 1

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

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

eval487.0ms (4.5%)

Memory: 56.8MiB live, 425.4MiB allocated
Compiler: Compiled 36 394 to 3 617 computations (90.1% saved)

prune272.0ms (2.5%)

Memory

-75.5MiB live, 442.9MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 738	14	1 752
Fresh	8	5	13
Picked	4	1	5
Done	0	1	1
Total	1 750	21	1 771

Accuracy

100.0%

Counts

1 771 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) a) b)
	98.9%	(/.f64 (/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (+.f64 b a))) (-.f64 b a))
	92.6%	(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 #s(literal 2 binary64) (+.f64 b a)))) a)
▶	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 #s(literal 2 binary64) (+.f64 b a)))
	58.6%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 #s(literal 2 binary64) b))) (.f64 b a))
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 b a))
	98.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	47.1%	(/.f64 #s(approx (* (- b a) (* (PI) 1/2)) (.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) b))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a)))
	92.6%	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 #s(literal 2 binary64) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
▶	99.6%	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)))
	93.8%	(.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b a))))))
	51.3%	#s(approx (/ (/ (PI) (* 2 (+ b a))) (* b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	67.7%	#s(approx (/ (/ (PI) (* 2 (+ b a))) (* b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a b)))))
▶	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
▶	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	67.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	62.7%	#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)))
▶	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	62.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))))

Compiler

Compiled 546 to 370 computations (32.2% saved)

simplify180.0ms (1.7%)

Memory

4.7MiB live, 289.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (PI.f64) (*.f64 a #s(literal 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 #s(literal 2 binary64))) b) a))
cost-diff	384	(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b)
cost-diff	384	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) a)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
cost-diff	384	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
cost-diff	0	(*.f64 b a)
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 b a))
cost-diff	384	(/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 #s(literal 2 binary64) (+.f64 b a)))

Rules

5 980×	`lower-fma.f64`
5 980×	`lower-fma.f32`
4 432×	`lower-*.f32`
4 416×	`lower-*.f64`
2 214×	`lower-neg.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	235
0	59	235
1	121	229
2	290	229
3	742	226
4	2273	223
5	4346	223
0	8238	223

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (0.9%)

Memory

29.3MiB live, 227.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a)
accuracy	0.17578125	(/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b)
accuracy	0.21484375	(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))
accuracy	20.30903939952302	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a))
accuracy	0	(PI.f64)
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
accuracy	0.16015625	(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (*.f64 b a))
accuracy	0.20150375976844204	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)))
accuracy	0.1640625	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
accuracy	0.21484375	(/.f64 (PI.f64) a)
accuracy	0.4447747720039009	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy	20.30903939952302	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
accuracy	0	(PI.f64)
accuracy	0.37767113579959044	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a)))
accuracy	7.234642038790303	(.f64 b (.f64 a a))
accuracy	20.30903939952302	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 b a))
accuracy	0	(PI.f64)
accuracy	0.12109375	(/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 #s(literal 2 binary64) (+.f64 b a)))
accuracy	0.4967367129737365	(/.f64 (PI.f64) (*.f64 b a))

Samples

62.0ms

256×

valid

Compiler

Compiled 207 to 36 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 21.0ms (46.7% of total)

ival-mult: 16.0ms (35.6% of total)

ival-pi: 4.0ms (8.9% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-8.6MiB live, 29.9MiB allocated

Counts

20 → 408

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (PI) (* a b))>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))>
#<alt (/ 1/2 (* a (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
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#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (/ 1/2 a)>
#<alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* -1/2 (/ a b))) b)>
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#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)>
#<alt (/ 1/2 b)>
#<alt (* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))>
#<alt (/ 1/2 b)>
#<alt (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)>
#<alt (/ 1/2 a)>
#<alt (* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* 2 b)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/ (/ (PI) (* b a)) (* 2 (+ b a)))
0.0ms	b	@	0	(/ (PI) (* b a))
0.0ms	b	@	inf	(/ (/ 1/2 (+ b a)) (* b a))
0.0ms	b	@	0	(/ 1/2 (* b a))
0.0ms	b	@	0	(/ (/ 1/2 (+ b a)) (* b a))

simplify346.0ms (3.2%)

Memory

7.4MiB live, 526.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 148×	`lower-fma.f64`
14 148×	`lower-fma.f32`
6 136×	`lower-*.f64`
6 136×	`lower-*.f32`
2 704×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	4884
1	1038	4802
2	2725	4740
3	7180	4736
0	8137	4514

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(/ (PI) (* a b))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ (PI) a)
(/ 1/2 (* (pow a 2) b))
(/ (+ (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* 1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) b)
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a))) (* 1/2 (/ 1 b))) (pow b 2))
(/ (- (+ (* -1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 a)))) (* 1/2 (/ 1 b))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) (pow b 2))
(/ 1/2 (* a (pow b 2)))
(/ (+ (* -1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ (+ (* a (- (* a (+ (* -1/2 (/ a (pow b 5))) (* 1/2 (/ 1 (pow b 4))))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2)))) a)
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b))) (* 1/2 (/ 1 a))) (pow a 2))
(/ (- (+ (* -1/2 (/ (pow b 2) (pow a 3))) (+ (* 1/2 (/ b (pow a 2))) (* 1/2 (/ 1 b)))) (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/2 (* (pow a 2) b))
(/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ 1/2 a)
(+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1/2 b)
(/ (+ 1/2 (* -1/2 (/ a b))) b)
(/ (- (+ 1/2 (* 1/2 (/ (pow a 2) (pow b 2)))) (* 1/2 (/ a b))) b)
(/ (- (+ 1/2 (* -1/2 (/ (pow a 3) (pow b 3)))) (+ (* -1/2 (/ (pow a 2) (pow b 2))) (* 1/2 (/ a b)))) b)
(/ 1/2 b)
(* -1 (/ (- (* 1/2 (/ a b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 2) b)) (* 1/2 a)) b)) 1/2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow a 3) b)) (* 1/2 (pow a 2))) b)) (* 1/2 a)) b)) 1/2) b))
(/ 1/2 b)
(+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b)))
(+ (* a (- (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (+ (* -1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b)))
(/ 1/2 a)
(/ (+ 1/2 (* -1/2 (/ b a))) a)
(/ (- (+ 1/2 (* 1/2 (/ (pow b 2) (pow a 2)))) (* 1/2 (/ b a))) a)
(/ (- (+ 1/2 (* -1/2 (/ (pow b 3) (pow a 3)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a)))) a)
(/ 1/2 a)
(* -1 (/ (- (* 1/2 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 2) a)) (* 1/2 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* 1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (PI)) b)) (* 1/2 (* a (PI)))) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* a (PI)) (pow b 5))) (* 1/2 (/ (PI) (pow b 4)))))))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 1/2 (/ (PI) a))
(* 2 a)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 b)
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* b (+ 2 (* 2 (/ a b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* -1 (* b (- (* -2 (/ a b)) 2)))
(* 2 b)
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(+ (* 2 a) (* 2 b))
(* 2 a)
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* a (+ 2 (* 2 (/ b a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* -1 (* a (- (* -2 (/ b a)) 2)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))

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

rewrite328.0ms (3%)

Memory

6.6MiB live, 524.7MiB allocated

Rules

5 788×	`lower-/.f32`
5 768×	`lower-/.f64`
4 008×	`lower-*.f32`
3 992×	`lower-*.f64`
2 284×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	198
0	59	192
1	265	168
2	2324	168
0	8530	168

Stop Event

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

Counts

20 → 1 770

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a))))) (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b a) (.f64 b (/.f64 a (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (.f64 b a) (.f64 #s(literal 2 binary64) (+.f64 b a))))) (/.f64 (PI.f64) (neg.f64 (.f64 (.f64 b a) (.f64 #s(literal 2 binary64) (+.f64 b a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b a)) (.f64 b (neg.f64 a)))) (/.f64 (PI.f64) (.f64 (.f64 #s(literal 2 binary64) (+.f64 b a)) (.f64 b (neg.f64 a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 b a) #s(literal -2 binary64))) (/.f64 (/.f64 (PI.f64) (.f64 b a)) (*.f64 (+.f64 b a) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 b a))) (/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (neg.f64 (+.f64 b a))))
(fma.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))) (/.f64 #s(literal -1 binary64) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))))
(neg.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 (+.f64 b a) #s(literal -2 binary64))))
(/.f64 (PI.f64) (.f64 (.f64 b a) (*.f64 #s(literal 2 binary64) (+.f64 b a))))
(/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 #s(literal 2 binary64) (+.f64 b a)))
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(.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b))
(.f64 (.f64 (/.f64 (PI.f64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 b))))
(.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) b) (/.f64 (cbrt.f64 (PI.f64)) (.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) b) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(.f64 (pow.f64 (/.f64 b (neg.f64 (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 b a)))))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (PI.f64) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 a)))
(neg.f64 (/.f64 (PI.f64) (*.f64 a #s(literal -2 binary64))))
(/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (PI.f64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (PI.f64)))
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (PI.f64) a) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 a (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (PI.f64) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) a))) #s(literal 2 binary64))
(pow.f64 (/.f64 a (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (.f64 a #s(literal -2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (.f64 a #s(literal 2 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (.f64 a #s(literal 2 binary64))))
(.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -2 binary64))))
(.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (PI.f64))) (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (neg.f64 (/.f64 (PI.f64) a)) #s(literal -1/2 binary64))
(.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) a) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) a) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) a))
(.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) a))
(*.f64 (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b a)) #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 a a) (-.f64 b a)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 b b) (.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b b (.f64 a a))) (.f64 #s(literal 1/2 binary64) (-.f64 b a))) (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(-.f64 (/.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(fma.f64 b #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 b #s(literal 2 binary64)))
(fma.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 b a) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 b b (.f64 a (-.f64 a b)))) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))))) (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 (.f64 a (*.f64 a a)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (*.f64 b b))) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 b a)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a))) (-.f64 b a))
(/.f64 (*.f64 (+.f64 b a) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 b a)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 #s(literal 1/2 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 b b (*.f64 a (-.f64 a b))))))
(/.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) #s(literal 2 binary64)) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) #s(literal 2 binary64))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64))) (fma.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 b a))
(*.f64 (+.f64 b a) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 b a)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 b a)))
(.f64 (.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 b a))))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(*.f64 (neg.f64 (+.f64 b a)) #s(literal -2 binary64))
(.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 b b (.f64 a (-.f64 a b))))))
(.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)) (-.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 b (.f64 a a))
(.f64 a (.f64 b a))
(.f64 (.f64 b a) a)
(.f64 (.f64 a a) b)
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b a)))
(/.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 b (.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 b (.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 b (neg.f64 a)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 b (neg.f64 a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) b)
(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b))) (neg.f64 (neg.f64 a)))
(pow.f64 (.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b a)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (*.f64 a #s(literal 2 binary64))))))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (neg.f64 a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) a))

eval431.0ms (4%)

Memory: -6.0MiB live, 582.4MiB allocated
Compiler: Compiled 38 111 to 2 990 computations (92.2% saved)

prune330.0ms (3%)

Memory

-4.8MiB live, 350.1MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	2 373	13	2 386
Fresh	11	3	14
Picked	3	2	5
Done	0	2	2
Total	2 387	20	2 407

Accuracy

100.0%

Counts

2 407 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) a) b)
	99.7%	(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
	68.1%	(/.f64 (/.f64 (PI.f64) (.f64 b a)) #s(approx ( 2 (+ b a)) (*.f64 a #s(literal 2 binary64))))
	58.5%	(/.f64 (/.f64 (PI.f64) (.f64 b a)) #s(approx ( 2 (+ b a)) (*.f64 #s(literal 2 binary64) b)))
	58.6%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 #s(literal 2 binary64) b))) (.f64 b a))
	92.6%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 b a))) (PI.f64)) a)
	98.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	98.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (PI.f64)) (*.f64 #s(literal 2 binary64) (+.f64 b a))))
	92.6%	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 b a))))
	93.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
	58.5%	(.f64 (PI.f64) (/.f64 #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) b)) (.f64 b a)))
	51.3%	(.f64 (PI.f64) #s(approx (/ (/ 1/2 (+ b a)) ( b a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b b)))))
	67.7%	(.f64 (PI.f64) #s(approx (/ (/ 1/2 (+ b a)) ( b a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a b)))))
	51.3%	#s(approx (/ (/ (PI) (* b a)) (* 2 (+ b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	67.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	62.7%	#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)))
✓	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
	62.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))))

Compiler

Compiled 1 171 to 374 computations (68.1% saved)

regimes115.0ms (1.1%)

Memory

1.9MiB live, 75.8MiB allocated

Counts

64 → 1

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	b
45.0ms	a
15.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
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)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes40.0ms (0.4%)

Memory

1.4MiB live, 43.4MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
10.0ms	b
9.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
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)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes22.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	a
7.0ms	b
6.0ms	(.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
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes33.0ms (0.3%)

Memory

-5.2MiB live, 31.6MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(.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)))
7.0ms	a
7.0ms	b

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes35.0ms (0.3%)

Memory

-23.5MiB live, 15.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`a`
97.0%	2	`b`
93.8%	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)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes11.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.7%	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)))`
87.2%	2	`b`
82.0%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.7%	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)))`
67.7%	1	`a`
67.7%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
62.6%	1	`b`
62.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
62.6%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch13.0ms (0.1%)

Memory

-31.2MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	-2.8001886553160278e+119	-7.147905728218154e+117

Samples

4.0ms

48×

valid

Compiler

Compiled 107 to 77 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.7% of total)

ival-mult: 1.0ms (32.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.521699594003522e-20	3.1160825384093034e-19

Samples

8.0ms

96×

valid

Compiler

Compiled 182 to 128 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.9% of total)

ival-mult: 2.0ms (33.9% of total)

ival-sub: 1.0ms (17% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	218
1	71	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 b #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))

Outputs
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
(/.f64 (/.f64 (/.f64 (PI.f64) a) b) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 a b))) (.f64 a b))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 a b) (*.f64 a b)))
(if (<=.f64 a #s(literal -199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 a b))))))
(if (<=.f64 b #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
(if (<=.f64 b #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))

soundness1.1s (10.5%)

Memory

-13.4MiB live, 559.4MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`
6 692×	`lower-*.f64`
6 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525
0	54	259
0	80	247
1	293	231
2	2434	231
0	8712	231
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	40	216
0	63	212
1	305	172
2	3180	172
0	8398	172
0	39	198
0	59	192
1	265	168
2	2324	168
0	8530	168

Stop Event

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

Compiler

Compiled 546 to 294 computations (46.2% saved)

preprocess300.0ms (2.8%)

Memory: -3.7MiB live, 119.1MiB allocated
Compiler: Compiled 432 to 214 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze94.0ms (0.9%)

sample1.2s (11.2%)

explain210.0ms (1.9%)

preprocess228.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify216.0ms (2%)

localize42.0ms (0.4%)

series16.0ms (0.1%)

simplify524.0ms (4.8%)

rewrite250.0ms (2.3%)

eval103.0ms (1%)

prune146.0ms (1.3%)

simplify287.0ms (2.7%)

localize203.0ms (1.9%)

series47.0ms (0.4%)

simplify325.0ms (3%)

rewrite372.0ms (3.4%)

eval590.0ms (5.4%)

prune425.0ms (3.9%)

simplify207.0ms (1.9%)

localize182.0ms (1.7%)

series24.0ms (0.2%)

simplify282.0ms (2.6%)

rewrite627.0ms (5.8%)

eval487.0ms (4.5%)

prune272.0ms (2.5%)

simplify180.0ms (1.7%)

localize99.0ms (0.9%)

series18.0ms (0.2%)

simplify346.0ms (3.2%)

rewrite328.0ms (3%)

eval431.0ms (4%)

prune330.0ms (3%)

regimes115.0ms (1.1%)

regimes40.0ms (0.4%)

regimes22.0ms (0.2%)

regimes33.0ms (0.3%)

regimes35.0ms (0.3%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch13.0ms (0.1%)

bsearch13.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.1s (10.5%)

preprocess300.0ms (2.8%)

end0.0ms (0%)

Profiling