Metrics for NMSE Section 6.1 mentioned, B

analyze90.0ms (0.8%)

Memory

7.8MiB live, 123.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (10.9%)

Memory

36.1MiB live, 1 681.1MiB allocated

Samples

895.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 668.0ms

ival-div: 277.0ms (41.4% of total)

ival-mult: 253.0ms (37.9% of total)

ival-sub: 87.0ms (13% of total)

ival-pi: 34.0ms (5.1% of total)

exact: 8.0ms (1.2% of total)

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

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

Bogosity

preprocess305.0ms (2.8%)

Memory

24.3MiB live, 491.1MiB 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)

explain200.0ms (1.8%)

Memory

-16.0MiB live, 421.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	5	(-1.043487093073296e+156 9.70821846239622e-52)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
22	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
7	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	35	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	22	0
↳	`(*.f64 b b)`	overflow	63
↳	`(*.f64 a a)`	overflow	69
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	7	0
↳	`(*.f64 b b)`	overflow	63
↳	`(*.f64 a a)`	overflow	69
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	110

Confusion

	Predicted +	Predicted -
+	62	8
-	2	184

Precision

0.96875

Recall

0.8857142857142857

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	8
-	2	0	184

Precision?

0.96875

Recall?

0.8857142857142857

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms

512×

valid

Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 20.0ms (49.1% of total)

ival-mult: 13.0ms (31.9% of total)

ival-sub: 4.0ms (9.8% of total)

ival-pi: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

ival-assert: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(.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)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify275.0ms (2.5%)

Memory

-3.0MiB live, 504.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize45.0ms (0.4%)

Memory

-16.0MiB live, 102.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	92.2%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.1%	(.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)))

Samples

28.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

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

ival-div: 7.0ms (43.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

-14.9MiB live, 23.6MiB 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 a) (/ 1 b)))
1.0ms	b	@	0	(* (/ (PI) 2) (/ 1 (- (* b b) (* a a))))
1.0ms	a	@	inf	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	a	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	b	@	inf	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

simplify323.0ms (2.9%)

Memory

15.9MiB live, 647.0MiB 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 (PI.f64) (.f64 b #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 (PI.f64) (.f64 b #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))

rewrite405.0ms (3.7%)

Memory

40.1MiB live, 747.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))

eval124.0ms (1.1%)

Memory: -9.4MiB live, 289.2MiB allocated
Compiler: Compiled 22 466 to 2 044 computations (90.9% saved)

prune112.0ms (1%)

Memory

21.2MiB live, 379.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	662	17	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	663	17	680

Accuracy

100.0%

Counts

680 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.6%	(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)))
	89.0%	(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))
	86.0%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
▶	80.6%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	77.0%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
▶	99.6%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	80.7%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	85.9%	(.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 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
	99.6%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	85.9%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
	80.6%	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
	48.9%	#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)))
	51.8%	#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)))
	54.9%	#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))))
▶	65.5%	#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 708 to 420 computations (40.7% saved)

simplify205.0ms (1.9%)

Memory

-50.2MiB live, 477.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (+.f64 b a))
✓	cost-diff	384	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
✓	cost-diff	1408	(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (.f64 b a)))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	0	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64))
✓	cost-diff	1408	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	704	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
✓	cost-diff	1088	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))

Rules

4 530×	`lower-*.f32`
4 504×	`lower-*.f64`
3 744×	`lower-fma.f64`
3 744×	`lower-fma.f32`
2 288×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	301
0	65	301
1	155	299
2	570	245
3	2656	245
4	6258	245
0	8280	245

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (1.7%)

Memory

22.9MiB live, 341.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 b a))))
✓	accuracy	99.6%	(/.f64 (PI.f64) (+.f64 b a))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (.f64 b a)))
✓	accuracy	75.2%	(/.f64 (-.f64 b a) (*.f64 b a))
✓	accuracy	99.4%	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64))
✓	accuracy	98.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	87.1%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	75.2%	(/.f64 (-.f64 b a) (*.f64 b a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	98.0%	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	82.6%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	accuracy	66.1%	#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	99.8%	(.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	99.7%	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
✓	accuracy	75.2%	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

107.0ms

256×

valid

Compiler

Compiled 293 to 41 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 54.0ms (63.5% of total)

ival-mult: 25.0ms (29.4% of total)

ival-sub: 4.0ms (4.7% of total)

ival-pi: 1.0ms (1.2% of total)

ival-add: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.6%)

Memory

-7.7MiB live, 109.8MiB allocated

Counts

20 → 408

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

102 calls:

Time	Variable		Point	Expression
18.0ms	b	@	0	(/ (/ (- b a) (* b a)) (- b a))
3.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
1.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
1.0ms	b	@	inf	(/ (PI) (+ b a))
1.0ms	b	@	0	(/ 1/2 (* (- b a) (+ b a)))

simplify232.0ms (2.1%)

Memory

12.1MiB live, 530.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 878×	`lower-fma.f64`
5 878×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
1 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	5483
1	1852	5197
2	6588	5053
0	8514	4847

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

Calls

Call 1

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

rewrite410.0ms (3.7%)

Memory

3.1MiB live, 791.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 636×	`lower-/.f32`
5 620×	`lower-/.f64`
3 570×	`lower-*.f32`
3 544×	`lower-*.f64`
1 922×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	210
0	65	208
1	310	168
2	3121	160
0	8226	160

Stop Event

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

Counts

20 → 2 155

Calls

Call 1

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

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

eval523.0ms (4.7%)

Memory: -11.3MiB live, 1 215.9MiB allocated
Compiler: Compiled 91 878 to 5 854 computations (93.6% saved)

prune455.0ms (4.1%)

Memory

19.7MiB live, 1 142.2MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	3 650	16	3 666
Fresh	12	0	12
Picked	4	1	5
Done	0	0	0
Total	3 666	17	3 683

Accuracy

100.0%

Counts

3 683 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))
	99.6%	(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	98.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	98.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 b a) (PI.f64)) (.f64 b a)))
	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 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	99.6%	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))
	54.9%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
	65.9%	#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))
	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 b a)))
	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	65.5%	#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))))
▶	58.6%	#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)))
▶	65.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b))))))
▶	58.7%	#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 420 to 288 computations (31.4% saved)

simplify280.0ms (2.5%)

Memory

21.3MiB live, 611.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
✓	cost-diff	384	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b))))
✓	cost-diff	320	(.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	cost-diff	384	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))
✓	cost-diff	0	(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 a))
✓	cost-diff	384	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))

Rules

12 314×	`lower-fma.f64`
12 314×	`lower-fma.f32`
4 584×	`lower-*.f32`
4 564×	`lower-*.f64`
2 074×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	278
0	65	272
1	128	264
2	302	263
3	1026	259
4	3739	255
5	6422	255
0	8324	255

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (1.9%)

Memory

-37.2MiB live, 236.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
✓	accuracy	66.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
✓	accuracy	99.8%	(.f64 a (.f64 a (neg.f64 b)))
✓	accuracy	99.7%	(.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b))))
✓	accuracy	66.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (neg.f64 b))))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.8%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	89.4%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	66.1%	#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)))
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
✓	accuracy	89.2%	(.f64 b (.f64 a a))
✓	accuracy	66.1%	#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	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))
✓	accuracy	99.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a))

Samples

94.0ms

256×

valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 49.0ms (65.5% of total)

ival-div: 20.0ms (26.7% of total)

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

ival-pi: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory

5.2MiB live, 43.0MiB allocated

Counts

21 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
34.0ms	b	@	inf	(/ 1/2 (* b (* a a)))
5.0ms	b	@	-inf	(/ (* (PI) 1/2) (* b a))
1.0ms	b	@	0	(/ (* (PI) 1/2) (* b a))
0.0ms	a	@	inf	(/ (* (PI) 1/2) (* b a))
0.0ms	b	@	0	(/ 1/2 (* b (* a a)))

simplify520.0ms (4.7%)

Memory

22.8MiB live, 881.6MiB allocated

Algorithm

1×	egg-herbie

Rules

23 484×	`lower-fma.f64`
23 484×	`lower-fma.f32`
6 454×	`lower-*.f64`
6 454×	`lower-*.f32`
2 548×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	4592
1	363	4552
2	981	4512
3	2156	4292
4	4118	4272
0	8160	4112

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

rewrite302.0ms (2.7%)

Memory

-0.7MiB live, 622.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 624×	`lower-/.f32`
5 606×	`lower-/.f64`
3 734×	`lower-*.f32`
3 714×	`lower-*.f64`
2 274×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	237
0	65	223
1	266	197
2	2199	189
0	8285	189

Stop Event

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

Counts

21 → 1 736

Calls

Call 1

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

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

eval329.0ms (3%)

Memory: 26.4MiB live, 688.4MiB allocated
Compiler: Compiled 33 881 to 2 928 computations (91.4% saved)

prune482.0ms (4.4%)

Memory

-18.7MiB live, 528.4MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	2 320	7	2 327
Fresh	6	5	11
Picked	2	3	5
Done	0	1	1
Total	2 328	16	2 344

Accuracy

100.0%

Counts

2 344 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 b a))
✓	99.7%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))
▶	98.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (*.f64 b a) #s(literal 2 binary64)) (PI.f64)) (+.f64 b a)))
	98.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 b a) (PI.f64)) (.f64 b a)))
	99.6%	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))
	92.8%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (+.f64 b a) b) a)))
▶	54.9%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
✓	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 b a)))
▶	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
	58.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	65.5%	#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))))
	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
✓	58.6%	#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)))
▶	65.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 353 to 241 computations (31.7% saved)

simplify497.0ms (4.5%)

Memory

-31.6MiB live, 294.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 638×	`lower-fma.f64`
5 638×	`lower-fma.f32`
4 378×	`lower-*.f32`
4 360×	`lower-*.f64`
1 848×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	225
0	61	225
1	123	221
2	283	221
3	714	219
4	2217	217
5	4512	217
0	8121	217

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.3%)

Memory

4.5MiB live, 119.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓	accuracy	66.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 (+.f64 b a) (.f64 b a))
✓	accuracy	98.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	98.8%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
✓	accuracy	89.5%	(.f64 a (.f64 b b))
✓	accuracy	61.4%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
✓	accuracy	99.8%	(.f64 (.f64 b a) a)
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
✓	accuracy	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
✓	accuracy	66.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 b a))
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))

Samples

88.0ms

256×

valid

Compiler

Compiled 197 to 36 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 47.0ms (66.2% of total)

ival-div: 19.0ms (26.8% of total)

ival-sub: 2.0ms (2.8% of total)

ival-pi: 1.0ms (1.4% 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)

series22.0ms (0.2%)

Memory

13.2MiB live, 50.3MiB allocated

Counts

19 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

simplify511.0ms (4.6%)

Memory

36.4MiB live, 901.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 636×	`lower-fma.f64`
18 636×	`lower-fma.f32`
5 948×	`lower-*.f64`
5 948×	`lower-*.f32`
2 332×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	4702
1	689	4642
2	1914	4410
3	4350	4345
4	6646	4328
0	8097	4146

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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))
(* 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 (/ (* 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))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(* 1/2 (/ (PI) (* a b)))
(/ 1/2 (* 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))
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* (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)
(* 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))

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

rewrite294.0ms (2.7%)

Memory

-15.8MiB live, 685.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 788×	`lower-/.f32`
5 774×	`lower-/.f64`
3 864×	`lower-*.f32`
3 846×	`lower-*.f64`
2 220×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	185
0	61	181
1	267	165
2	2156	165
0	8197	165

Stop Event

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

Counts

19 → 1 246

Calls

Call 1

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

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

eval245.0ms (2.2%)

Memory: 28.5MiB live, 629.2MiB allocated
Compiler: Compiled 30 614 to 2 406 computations (92.1% saved)

prune268.0ms (2.4%)

Memory

-31.6MiB live, 580.4MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 889	8	1 897
Fresh	4	3	7
Picked	2	3	5
Done	1	3	4
Total	1 896	17	1 913

Accuracy

100.0%

Counts

1 913 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 b a) a) b))
	65.9%	(/.f64 #s(approx (/ (* (PI) 1/2) (+ b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 b a))
	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (*.f64 b a) #s(literal 2 binary64)) (PI.f64)) (+.f64 b a)))
	98.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 b a) (PI.f64)) (.f64 b a)))
	61.3%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (/.f64 (PI.f64) (.f64 b a)) (.f64 b #s(literal 2 binary64))))
	60.4%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a))))
✓	54.9%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
	58.7%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (PI.f64) (.f64 (.f64 b (*.f64 a a)) #s(literal 2 binary64))))
	54.9%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b b))))
	61.3%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (/.f64 (PI.f64) b)))
	60.3%	#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a)))))
✓	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
✓	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	65.5%	#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))))
	65.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
✓	58.6%	#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)))
✓	65.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 880 to 292 computations (66.8% saved)

regimes44.0ms (0.4%)

Memory

23.7MiB live, 101.8MiB allocated

Counts

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

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

Calls

3 calls:

14.0ms	a
14.0ms	b
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)))

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)

regimes30.0ms (0.3%)

Memory

-29.4MiB live, 59.5MiB allocated

Counts

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

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

Calls

3 calls:

11.0ms	(.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)))
9.0ms	b
8.0ms	a

Results

Accuracy	Segments	Branch
99.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
99.6%	1	`a`
99.6%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes26.0ms (0.2%)

Memory

17.5MiB live, 56.7MiB allocated

Counts

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

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

Calls

3 calls:

9.0ms	b
8.0ms	a
7.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes25.0ms (0.2%)

Memory

-22.9MiB live, 55.2MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	a
8.0ms	(.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)))
8.0ms	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

33.0MiB live, 33.0MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`a`
98.3%	2	`b`
92.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

-29.3MiB live, 11.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-8.0MiB live, 31.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.0%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
89.8%	2	`a`
90.9%	2	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a)))))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.f64 (PI.f64) (.f64 (.f64 b (*.f64 a a)) #s(literal 2 binary64))))
#s(approx (/ (/ (* (PI) 1/2) (* b a)) (+ b a)) (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b a) a))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
90.9%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
84.4%	2	`a`
85.5%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-22.0MiB live, 16.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

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)))
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
65.5%	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)))`
65.5%	1	`a`
65.5%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

12.9MiB live, 12.9MiB 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
58.7%	1	`a`
58.7%	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)))`
58.7%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch14.0ms (0.1%)

Memory

-11.3MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1.4046664345647205e+48	1.1141920424681206e+53

Samples

9.0ms

80×

valid

Compiler

Compiled 166 to 120 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (40.2% of total)

ival-div: 2.0ms (26.8% of total)

ival-mult: 2.0ms (26.8% 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)

bsearch23.0ms (0.2%)

Memory

5.1MiB live, 47.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.5909540199912764e+62	1.341120779033355e+67

Samples

12.0ms

144×

valid

Compiler

Compiled 269 to 191 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (44.8% of total)

ival-mult: 3.0ms (33.6% of total)

ival-pi: 1.0ms (11.2% of total)

ival-sub: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

-10.0MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.9704624965187535e-89	1.616815057457534e-87

Samples

9.0ms

112×

valid

Compiler

Compiled 208 to 146 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.8% of total)

ival-mult: 3.0ms (43.8% of total)

ival-sub: 1.0ms (14.6% 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)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.9704624965187535e-89	1.616815057457534e-87

Compiler

Compiled 208 to 146 computations (29.8% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.9704624965187535e-89	1.616815057457534e-87

Compiler

Compiled 208 to 146 computations (29.8% saved)

simplify8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	346
1	94	346

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(if (<=.f64 b #s(literal 49999999999999999661047433718081398823085422097203200 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 b a) b) a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 b a) a) b)))
(if (<=.f64 b #s(literal 779999999999999961092864608800118668654957496370257911558543769600 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 b a) b) a))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b 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 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) 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)))))

Outputs
(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (.f64 b a) #s(literal 2 binary64)))
(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (+.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) (+.f64 b a)))
(if (<=.f64 b #s(literal 49999999999999999661047433718081398823085422097203200 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 b a) b) a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 b a) a) b)))
(if (<=.f64 b #s(literal 49999999999999999661047433718081398823085422097203200 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b (+.f64 b a))))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 b #s(literal 779999999999999961092864608800118668654957496370257911558543769600 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 b a) b) a))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 779999999999999961092864608800118668654957496370257911558543769600 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b (+.f64 b a))))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) #s(approx (/ (/ ( (PI) 1/2) (* b a)) (+ b a)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b 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 b b)))))
(if (<=.f64 b #s(literal 7167183174968973/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.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)))))

soundness1.3s (12.2%)

Memory

-17.4MiB live, 1 149.3MiB allocated

Rules

23 484×	`lower-fma.f64`
23 484×	`lower-fma.f32`
12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525
0	43	237
0	65	223
1	266	197
2	2199	189
0	8285	189
0	41	210
0	65	208
1	310	168
2	3121	160
0	8226	160
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	149	4592
1	363	4552
2	981	4512
3	2156	4292
4	4118	4272
0	8160	4112
0	42	185
0	61	181
1	267	165
2	2156	165
0	8197	165

Stop Event

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

Compiler

Compiled 875 to 488 computations (44.2% saved)

preprocess85.0ms (0.8%)

Memory: -3.7MiB live, 189.5MiB allocated
Remove: (sort a b)
Compiler: Compiled 528 to 202 computations (61.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze90.0ms (0.8%)

sample1.2s (10.9%)

preprocess305.0ms (2.8%)

explain200.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify275.0ms (2.5%)

localize45.0ms (0.4%)

series27.0ms (0.2%)

simplify323.0ms (2.9%)

rewrite405.0ms (3.7%)

eval124.0ms (1.1%)

prune112.0ms (1%)

simplify205.0ms (1.9%)

localize187.0ms (1.7%)

series62.0ms (0.6%)

simplify232.0ms (2.1%)

rewrite410.0ms (3.7%)

eval523.0ms (4.7%)

prune455.0ms (4.1%)

simplify280.0ms (2.5%)

localize213.0ms (1.9%)

series61.0ms (0.6%)

simplify520.0ms (4.7%)

rewrite302.0ms (2.7%)

eval329.0ms (3%)

prune482.0ms (4.4%)

simplify497.0ms (4.5%)

localize146.0ms (1.3%)

series22.0ms (0.2%)

simplify511.0ms (4.6%)

rewrite294.0ms (2.7%)

eval245.0ms (2.2%)

prune268.0ms (2.4%)

regimes44.0ms (0.4%)

regimes30.0ms (0.3%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes14.0ms (0.1%)

regimes6.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch14.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.3s (12.2%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling