Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze90.0ms (0.9%)

Memory

4.5MiB live, 204.8MiB 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)

sample1.1s (11.5%)

Memory

32.9MiB live, 1 877.5MiB allocated

Samples

817.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 592.0ms

ival-div: 248.0ms (41.9% of total)

ival-mult: 225.0ms (38% of total)

ival-sub: 70.0ms (11.8% of total)

ival-pi: 31.0ms (5.2% of total)

exact: 9.0ms (1.5% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

explain187.0ms (1.9%)

Memory

1.7MiB live, 318.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	4	(-2.1584466324709294e-272 1.4983095752303585e+159)	`(.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)))`
12	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
5	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	28	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	12	0
↳	`(*.f64 b b)`	overflow	54
↳	`(*.f64 a a)`	overflow	53
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	5	0
↳	`(*.f64 b b)`	overflow	54
↳	`(*.f64 a a)`	overflow	53
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	95

Confusion

	Predicted +	Predicted -
+	44	5
-	1	206

Precision

0.9777777777777777

Recall

0.8979591836734694

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	5
-	1	0	206

Precision?

0.9777777777777777

Recall?

0.8979591836734694

Freqs

test

number	freq
0	211
1	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions

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

ival-div: 14.0ms (39.7% of total)

ival-mult: 14.0ms (39.7% of total)

ival-sub: 4.0ms (11.3% of total)

ival-pi: 2.0ms (5.7% of total)

exact: 1.0ms (2.8% of total)

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

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

preprocess228.0ms (2.3%)

Memory

23.4MiB live, 332.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(.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)

simplify234.0ms (2.4%)

Memory

17.7MiB live, 206.6MiB 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)

localize56.0ms (0.6%)

Memory

-17.1MiB live, 70.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.6951691640004717	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	2.7031126149812352	(-.f64 (.f64 b b) (.f64 a a))
accuracy	6.588928518043104	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

27.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

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

ival-div: 7.0ms (43.7% 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)

series12.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(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))) (patch (.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))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow a 2)) (pow b 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify288.0ms (2.9%)

Memory

-12.9MiB live, 424.0MiB 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))
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(/.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))

rewrite311.0ms (3.1%)

Memory

19.8MiB live, 372.2MiB 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))
(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) a)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 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)))) (neg.f64 b)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 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)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 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))
(fma.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)))))
(fma.f64 #s(literal 1 binary64) (/.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)))
(fma.f64 #s(literal 1 binary64) (/.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))
(fma.f64 #s(literal 1 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 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 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 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.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 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.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 #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)))) (neg.f64 b)))
(fma.f64 (/.f64 (PI.f64) (.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 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.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))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.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))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.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 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.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 (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 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 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 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 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 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.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))))
(fma.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 (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.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 (-.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))))
(fma.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))))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 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))))) (/.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 (PI.f64) #s(literal 1/2 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))))) (/.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 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a 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 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a 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 (/.f64 #s(literal 1 binary64) a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.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))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a)))) #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))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a)))) #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))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.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))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.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))))
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(.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)))

eval110.0ms (1.1%)

Memory: -11.4MiB live, 193.0MiB allocated
Compiler: Compiled 22 466 to 2 045 computations (90.9% saved)

prune116.0ms (1.2%)

Memory

15.8MiB live, 254.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	665	14	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	666	14	680

Accuracy

100.0%

Counts

680 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
▶	88.3%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
▶	77.5%	(/.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))
	87.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))))
▶	99.7%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	84.0%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	88.7%	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 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)))
	88.7%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
	89.6%	(.f64 (.f64 (/.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	49.9%	#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)))
	47.1%	#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)))
	59.0%	#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 b b))))
▶	58.5%	#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 538 to 328 computations (39% saved)

simplify219.0ms (2.2%)

Memory

21.7MiB live, 284.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	384	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
cost-diff	1024	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))
cost-diff	128	(fma.f64 b (neg.f64 b) (*.f64 a a))
cost-diff	128	(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))))
cost-diff	1024	(/.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))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.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

5 910×	`lower-*.f32`
5 876×	`lower-*.f64`
5 484×	`lower-fma.f32`
5 482×	`lower-fma.f64`
3 214×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	336
0	80	326
1	192	324
2	692	278
3	3991	278
0	8169	278

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

localize165.0ms (1.7%)

Memory

-16.7MiB live, 262.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.142910009768442	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
accuracy	0.2734375	(*.f64 (-.f64 b a) (PI.f64))
accuracy	0.6722688496449476	(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy	25.859262551843294	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	1.5038897356333614	(fma.f64 b (neg.f64 b) (*.f64 a a))
accuracy	2.9036528925463565	(.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) b)
accuracy	3.601745241060516	(.f64 (.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a)
accuracy	9.011369046801608	(/.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))
accuracy	0.2734375	(*.f64 (-.f64 b a) (PI.f64))
accuracy	1.9663862616783017	(.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))
accuracy	3.6499336524511734	(.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	9.011369046801608	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
accuracy	0	(PI.f64)
accuracy	0.12109375	(.f64 a (.f64 a b))
accuracy	0.3813034312651399	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
accuracy	26.33519996249085	#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	0.13119125976844204	(.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	0.20703125	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
accuracy	0.24609375	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
accuracy	13.395641970787931	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

109.0ms

256×

valid

Compiler

Compiled 332 to 48 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 34.0ms (46.2% of total)

ival-div: 30.0ms (40.8% of total)

ival-sub: 4.0ms (5.4% of total)

ival-add: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

ival-pi: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.7%)

Memory

-13.8MiB live, 101.9MiB allocated

Counts

23 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())
#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b a) (.f64 b a)) (patch (/.f64 (-.f64 b a) (.f64 b a)) #<representation binary64>) () ())
#s(alt (-.f64 b a) (patch (-.f64 b a) #<representation binary64>) () ())
#s(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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (PI.f64)) (patch (.f64 #s(literal 1/2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (neg.f64 b) (.f64 a a)) (patch (fma.f64 b (neg.f64 b) (.f64 a a)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (patch (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a)) (patch (/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 a b)) (patch (.f64 a (.f64 a b)) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (patch (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) #<representation binary64>) () ())
#s(alt (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (patch (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) b) a) (patch (.f64 (.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) b) a) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) b) (patch (.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) b) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (patch (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) (taylor 0 a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) (taylor 0 a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) (taylor inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(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))) (patch (.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf b) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf b) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) #<representation binary64>) () ())) ())
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#s(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) (taylor 0 b) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(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)) (taylor inf a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) (patch (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a (PI))) (* b (PI))) (taylor 0 b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (PI) (* -1 (/ (* a (PI)) b)))) (taylor inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor -inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) (taylor -inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) (taylor -inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b)))) (taylor -inf b) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* b (PI)) (taylor 0 a) (#s(alt (.f64 (-.f64 b a) (PI.f64)) (patch (.f64 (-.f64 b a) (PI.f64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a))) (taylor 0 b) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3)))))) (taylor 0 b) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b) (taylor inf b) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) (taylor 0 a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* a (- (* a (- (+ (* -1 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (pow b 6))) (/ (* (+ b (* -1 b)) (- (* 1/2 (/ 1 (pow b 4))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (pow b 2))))) (* 1/2 (/ 1 (pow b 4)))) (* -1/2 (/ (pow (+ b (* -1 b)) 2) (pow b 6))))) (* 1/2 (/ (+ b (* -1 b)) (pow b 4))))) (* 1/2 (/ 1 (pow b 2)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))) (pow a 2))) (+ 1/2 (* 1/2 (/ (+ b (* -1 b)) a)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (* 1/2 (* (pow b 2) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2))))) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (* 1/2 (/ (pow (+ b (* -1 b)) 2) (pow a 2))))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ (+ b (* -1 b)) a)) 1/2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow b 2) a)) (* 1/2 (/ (pow (+ b (* -1 b)) 2) a))) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (+ (* 1/2 (pow b 2)) (* 1/2 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) 1/2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	(/ (* 1/2 (PI)) (* a (* a b)))
4.0ms	b	@	inf	(* (+ (* b (neg b)) (* a a)) b)
3.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
2.0ms	a	@	0	(* (+ (* b (neg b)) (* a a)) b)
1.0ms	b	@	0	(/ (/ (- b a) (* b a)) (- b a))

simplify277.0ms (2.8%)

Memory

13.7MiB live, 494.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 296×	`lower-fma.f64`
11 296×	`lower-fma.f32`
5 072×	`lower-*.f64`
5 072×	`lower-*.f32`
2 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	7177
1	1978	6557
2	7419	6550
0	8054	6270

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

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

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

rewrite316.0ms (3.2%)

Memory

19.0MiB live, 662.0MiB allocated

Rules

5 884×	`lower-/.f32`
5 868×	`lower-/.f64`
3 738×	`lower-*.f32`
3 704×	`lower-*.f64`
1 968×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	249
0	80	253
1	355	205
2	3215	205
0	8496	205

Stop Event

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

Counts

23 → 1 782

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

eval501.0ms (5.1%)

Memory: 0.6MiB live, 977.5MiB allocated
Compiler: Compiled 74 942 to 5 783 computations (92.3% saved)

prune437.0ms (4.4%)

Memory

11.4MiB live, 857.6MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	2 948	15	2 963
Fresh	9	0	9
Picked	4	1	5
Done	0	0	0
Total	2 961	16	2 977

Accuracy

100.0%

Counts

2 977 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) a) b)
	88.7%	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (+.f64 b a) #s(literal 2 binary64))))
	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
	85.8%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (+.f64 b a) (.f64 (-.f64 b a) (*.f64 b a))))
	50.1%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b #s(approx (* a (* 2 (* (- b a) (+ b a)))) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))))
▶	65.5%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (.f64 b a))
	98.2%	(/.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)))
▶	99.7%	(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
	54.1%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
	59.0%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	58.7%	#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))
✓	58.5%	#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))))
	54.1%	#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)))
▶	58.7%	#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))))
▶	54.0%	#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)))))

Compiler

Compiled 442 to 292 computations (33.9% saved)

simplify286.0ms (2.9%)

Memory

-3.4MiB live, 390.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b a))
cost-diff	320	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
cost-diff	0	#s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
cost-diff	0	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (.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	(/.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	704	(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))

Rules

6 910×	`lower-fma.f64`
6 910×	`lower-fma.f32`
5 246×	`lower-*.f32`
5 226×	`lower-*.f64`
3 040×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	257
0	68	257
1	146	249
2	390	249
3	1148	231
4	3912	229
0	8330	229

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

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

localize152.0ms (1.5%)

Memory

-16.8MiB live, 293.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (+.f64 b a))
accuracy	0.16796875	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
accuracy	0.18359375	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	0	(PI.f64)
accuracy	0.142910009768442	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (.f64 b a))
accuracy	0.23828125	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
accuracy	30.11966328081364	#s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
accuracy	0.16796875	(.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
accuracy	0.25	(/.f64 (PI.f64) a)
accuracy	0.3207809795673736	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy	26.33519996249085	#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	0.19140625	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
accuracy	0.27855738460881846	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
accuracy	6.815289356677113	(.f64 b (.f64 a a))
accuracy	26.33519996249085	#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	(PI.f64)
accuracy	0.13119125976844204	(.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy	0.3246872295673736	(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy	0.44579750921854183	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))

Samples

93.0ms

256×

valid

Compiler

Compiled 227 to 42 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 35.0ms (47.5% of total)

ival-mult: 27.0ms (36.6% of total)

ival-sub: 5.0ms (6.8% of total)

ival-pi: 4.0ms (5.4% of total)

ival-add: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-3.5MiB live, 72.8MiB allocated

Counts

21 → 432

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) (patch (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 b a))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf b) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor 0 a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 b (.f64 a a)) (patch (.f64 b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* a b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	(* (PI) (/ 1/2 (* b (* a a))))
1.0ms	a	@	0	(/ 1 (+ b a))
1.0ms	b	@	inf	(/ 1/2 (* b (* a a)))
0.0ms	a	@	0	(/ 1/2 (* b (* a a)))
0.0ms	b	@	-inf	(/ 1/2 (* b a))

simplify346.0ms (3.5%)

Memory

-18.3MiB live, 539.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 144×	`lower-fma.f64`
9 144×	`lower-fma.f32`
4 046×	`lower-*.f64`
4 046×	`lower-*.f32`
3 788×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	5598
1	1254	5486
2	3387	5204
3	7664	5198
0	8289	4984

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

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

rewrite272.0ms (2.7%)

Memory

11.7MiB live, 573.6MiB allocated

Rules

4 722×	`lower-/.f32`
4 704×	`lower-/.f64`
3 674×	`lower-*.f32`
3 654×	`lower-*.f64`
2 670×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	215
0	68	207
1	302	175
2	2620	175
0	8151	175

Stop Event

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

Counts

21 → 1 326

Calls

Call 1

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

eval263.0ms (2.7%)

Memory: 24.4MiB live, 683.6MiB allocated
Compiler: Compiled 35 631 to 3 611 computations (89.9% saved)

prune316.0ms (3.2%)

Memory

-25.9MiB live, 714.5MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 994	8	2 002
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	2 002	16	2 018

Accuracy

100.0%

Counts

2 018 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
	59.7%	(/.f64 (/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b))) b) a)
	65.5%	(/.f64 (/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) b))) a) b)
	50.1%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b #s(approx (* a (* 2 (* (- b a) (+ b a)))) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))))
▶	93.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
	98.3%	(/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (*.f64 a (neg.f64 b)) (+.f64 b a)))
✓	65.5%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (.f64 b a))
▶	65.5%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b a))
	65.5%	(.f64 (/.f64 (PI.f64) #s(approx ( 2 (+ b a)) (.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 1 binary64) (.f64 b a)))
	54.1%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
▶	59.0%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
✓	58.5%	#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))))
	58.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (PI.f64)) (.f64 b a))))
▶	54.1%	#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)))
✓	58.7%	#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))))
✓	54.0%	#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)))))

Compiler

Compiled 360 to 242 computations (32.8% saved)

simplify231.0ms (2.3%)

Memory

28.9MiB live, 302.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 512×	`lower-fma.f64`
4 512×	`lower-fma.f32`
4 444×	`lower-*.f32`
4 422×	`lower-*.f64`
2 830×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	235
0	69	235
1	161	233
2	510	233
3	2166	208
4	6503	208
0	8478	208

Stop Event

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

Calls

Call 1

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

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

localize383.0ms (3.9%)

Memory

-16.3MiB live, 265.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.142910009768442	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b a))
accuracy	0.27734375	(*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))
accuracy	30.11966328081364	#s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)))
accuracy	0	(PI.f64)
accuracy	0.41933856042498036	(/.f64 (PI.f64) (*.f64 a a))
accuracy	7.018119394230783	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy	26.33519996249085	#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	(PI.f64)
accuracy	0.01171875	(*.f64 a (+.f64 b a))
accuracy	1.0779191950983156	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
accuracy	2.9153716425463565	(.f64 b (.f64 a (+.f64 b a)))
accuracy	0	(PI.f64)
accuracy	1.0283714563402786	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
accuracy	6.839573823249211	(.f64 a (.f64 b b))
accuracy	21.975078510074237	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
accuracy	0	(PI.f64)
accuracy	0.0078125	(.f64 (.f64 b a) #s(literal 2 binary64))
accuracy	0.140625	(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
accuracy	0.32723213632008996	(/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64)))

Samples

329.0ms

256×

valid

Compiler

Compiled 205 to 44 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 79.0ms (65.4% of total)

ival-div: 36.0ms (29.8% of total)

ival-sub: 3.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series108.0ms (1.1%)

Memory

18.0MiB live, 56.0MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf a) (#s(alt (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) (patch (/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (patch (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (taylor -inf b) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf b) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) (taylor 0 a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a) (taylor inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a) (taylor inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(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) (taylor inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor -inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (taylor -inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (taylor -inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf a) (#s(alt #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (patch #s(approx ( (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor 0 b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) b)) (taylor -inf b) (#s(alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) (patch (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor 0 b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf b) (#s(alt (.f64 a (.f64 b b)) (patch (.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ a b)) (taylor 0 a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ b a))) (taylor -inf a) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (pow a 2)) (taylor 0 b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (pow a 2) b))) (taylor inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b))))) (taylor -inf b) (#s(alt (.f64 a (+.f64 b a)) (patch (.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
85.0ms	a	@	inf	(/ (* 1/2 (PI)) (* a (* b b)))
1.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* b b)))
1.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* b b)))
1.0ms	b	@	0	(/ (PI) (* (* b a) 2))
0.0ms	b	@	inf	(* (* b a) 2)

simplify447.0ms (4.5%)

Memory

17.7MiB live, 479.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 784×	`lower-fma.f64`
11 784×	`lower-fma.f32`
4 282×	`lower-*.f64`
4 282×	`lower-*.f32`
2 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	4324
1	737	4266
2	2054	4082
3	4350	3956
4	6796	3956
0	8068	3768

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

rewrite264.0ms (2.7%)

Memory

-12.5MiB live, 557.3MiB allocated

Rules

5 232×	`lower-/.f32`
5 218×	`lower-/.f64`
3 980×	`lower-*.f32`
3 958×	`lower-*.f64`
2 688×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	192
0	69	190
1	320	178
2	2747	178
0	8484	178

Stop Event

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

Counts

18 → 752

Calls

Call 1

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

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

eval218.0ms (2.2%)

Memory: -21.7MiB live, 328.8MiB allocated
Compiler: Compiled 18 163 to 2 017 computations (88.9% saved)

prune209.0ms (2.1%)

Memory

4.7MiB live, 465.0MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 235	9	1 244
Fresh	6	1	7
Picked	1	4	5
Done	1	3	4
Total	1 243	17	1 260

Accuracy

100.0%

Counts

1 260 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.5%	(/.f64 (/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64)))) a) b)
	98.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	93.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (fma.f64 b a (*.f64 a a))))
✓	93.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
	64.6%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b #s(approx (* a (+ b a)) (*.f64 a b))))
	54.1%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b #s(approx (* a (+ b a)) (*.f64 a a))))
✓	65.5%	(/.f64 #s(approx (* (* (- b a) (PI)) (/ 1/2 (* (- b a) (+ b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b a))
	65.5%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (/.f64 (PI.f64) (.f64 b (.f64 a #s(literal 2 binary64)))) b))
✓	59.0%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	64.5%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b (*.f64 b a)) (PI.f64)) #s(literal 2 binary64))))
	65.5%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (/.f64 (PI.f64) b)))
	64.5%	#s(approx (/ (* (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a)))))
✓	58.5%	#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))))
	58.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (PI.f64)) (.f64 b a))))
✓	54.1%	#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)))
✓	58.7%	#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))))
✓	54.0%	#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)))))

Compiler

Compiled 840 to 300 computations (64.3% saved)

regimes43.0ms (0.4%)

Memory

-5.7MiB live, 70.7MiB allocated

Counts

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

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

Calls

3 calls:

14.0ms	a
14.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
13.0ms	b

Results

Accuracy	Segments	Branch
99.7%	1	`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

-2.1MiB live, 38.3MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
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
99.7%	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)

regimes21.0ms (0.2%)

Memory

6.1MiB live, 44.8MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	b
6.0ms	a
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
98.3%	1	`a`
98.3%	1	`b`
98.3%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes14.0ms (0.1%)

Memory

-14.2MiB live, 24.0MiB allocated

Counts

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

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

Calls

3 calls:

6.0ms	b
4.0ms	a
3.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
97.3%	2	`b`
93.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
98.3%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes10.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

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

(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 b #s(approx (* a (+ b a)) (*.f64 a 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
68.1%	2	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
88.2%	2	`b`
89.1%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 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))))

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

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
82.7%	2	`b`
83.5%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-27.4MiB live, 10.8MiB 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:

4.0ms	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
58.5%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
58.5%	1	`b`
58.5%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB 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
54.0%	1	`b`
54.0%	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)))`
54.0%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch19.0ms (0.2%)

Memory

-14.9MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-7.7526790790583845e+155	-5.263544546564076e+153

Samples

13.0ms

112×

valid

Compiler

Compiled 215 to 153 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.8% of total)

ival-div: 3.0ms (28.9% of total)

ival-sub: 1.0ms (9.6% 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)

bsearch7.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-1.3059337900684223e-23	-1.1083104733267803e-23

Samples

4.0ms

48×

valid

Compiler

Compiled 104 to 74 computations (28.8% saved)

Precisions

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

ival-div: 1.0ms (33.1% of total)

ival-mult: 1.0ms (33.1% 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)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.3059337900684223e-23	-1.1083104733267803e-23

Compiler

Compiled 104 to 74 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-1.3059337900684223e-23	-1.1083104733267803e-23

Compiler

Compiled 104 to 74 computations (28.8% saved)

simplify8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	321
1	89	321

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 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 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 (PI.f64) #s(literal 1/2 binary64)) (.f64 b #s(approx ( a (+ b a)) (*.f64 a b)))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 (/ ( (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (PI.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)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) (+.f64 b a)))
(if (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 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 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 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 b a)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 (PI.f64) #s(literal 1/2 binary64)) (.f64 b #s(approx ( a (+ b a)) (*.f64 a b)))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 b a)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b #s(approx ( a (+ b a)) (*.f64 b a)))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 (/ ( (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 b a)))) #s(approx (/ ( (- b a) (PI)) (* b (* a (* 2 (* (- b a) (+ b a)))))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 a #s(literal -8302889752870899/680564733841876926926749214863536422912 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 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 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 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)))))

soundness1.1s (11.3%)

Memory

33.4MiB live, 888.3MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
11 784×	`lower-fma.f64`
11 784×	`lower-fma.f32`
11 296×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	4324
1	737	4266
2	2054	4082
3	4350	3956
4	6796	3956
0	8068	3768
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525
0	622	7177
1	1978	6557
2	7419	6550
0	8054	6270
0	46	215
0	68	207
1	302	175
2	2620	175
0	8151	175
0	49	192
0	69	190
1	320	178
2	2747	178
0	8484	178
0	48	249
0	80	253
1	355	205
2	3215	205
0	8496	205
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

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

Compiler

Compiled 562 to 304 computations (45.9% saved)

preprocess331.0ms (3.3%)

Memory: -35.9MiB live, 128.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 454 to 182 computations (59.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze90.0ms (0.9%)

sample1.1s (11.5%)

explain187.0ms (1.9%)

preprocess228.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify234.0ms (2.4%)

localize56.0ms (0.6%)

series12.0ms (0.1%)

simplify288.0ms (2.9%)

rewrite311.0ms (3.1%)

eval110.0ms (1.1%)

prune116.0ms (1.2%)

simplify219.0ms (2.2%)

localize165.0ms (1.7%)

series67.0ms (0.7%)

simplify277.0ms (2.8%)

rewrite316.0ms (3.2%)

eval501.0ms (5.1%)

prune437.0ms (4.4%)

simplify286.0ms (2.9%)

localize152.0ms (1.5%)

series36.0ms (0.4%)

simplify346.0ms (3.5%)

rewrite272.0ms (2.7%)

eval263.0ms (2.7%)

prune316.0ms (3.2%)

simplify231.0ms (2.3%)

localize383.0ms (3.9%)

series108.0ms (1.1%)

simplify447.0ms (4.5%)

rewrite264.0ms (2.7%)

eval218.0ms (2.2%)

prune209.0ms (2.1%)

regimes43.0ms (0.4%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch19.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (11.3%)

preprocess331.0ms (3.3%)

end0.0ms (0%)

Profiling