Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze88.0ms (1%)

Memory

20.1MiB live, 219.9MiB 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)

sample1.3s (14.2%)

Memory

28.9MiB live, 2 024.7MiB allocated

Samples

926.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-div: 291.0ms (42.3% of total)

ival-mult: 231.0ms (33.6% of total)

ival-sub: 108.0ms (15.7% of total)

ival-pi: 39.0ms (5.7% of total)

exact: 8.0ms (1.2% of total)

ival-true: 7.0ms (1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain218.0ms (2.4%)

Memory

-27.0MiB live, 320.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	2	(3.1344560963732136e-74 2.5905386592646145e+155)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
12	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
2	-	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**	41	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	12	0
↳	`(*.f64 b b)`	overflow	70
↳	`(*.f64 a a)`	overflow	54
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	2	0
↳	`(*.f64 b b)`	overflow	70
↳	`(*.f64 a a)`	overflow	54
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	112

Confusion

	Predicted +	Predicted -
+	55	7
-	0	194

Precision

1.0

Recall

0.8870967741935484

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	7
-	0	0	194

Precision?

1.0

Recall?

0.8870967741935484

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions

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

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

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

ival-sub: 4.0ms (11.4% of total)

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

exact: 1.0ms (2.8% of total)

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

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

preprocess164.0ms (1.8%)

Memory

1.5MiB live, 225.1MiB 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 #s(literal 1/2 binary64) (*.f64 (-.f64 b a) (+.f64 a b))))

Symmetry

(sort a b)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(.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)

simplify122.0ms (1.3%)

Memory

30.3MiB live, 211.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.8%)

Memory

-14.0MiB live, 122.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.174160009768442	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.3417827177854683	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	2.5976479933208236	(-.f64 (.f64 b b) (.f64 a a))
accuracy	9.691173035300684	(.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

68.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 24.0ms (72.8% of total)

ival-mult: 6.0ms (18.2% of total)

ival-sub: 2.0ms (6.1% of total)

ival-pi: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-6.1MiB live, 31.8MiB 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) (pow a 2))) (taylor 0 b) (#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 (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) (taylor 0 b) (#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 (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) (taylor 0 b) (#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 (+ (* -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)))))))) (taylor 0 b) (#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 (* -1 (pow a 2)) (taylor 0 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) (pow a 2)) (taylor 0 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) (pow a 2)) (taylor 0 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) (pow a 2)) (taylor 0 b) (#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 (* 1/2 (/ (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>) () ())) ())
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#s(alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) (taylor inf a) (#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 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) (taylor inf a) (#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 (/ (+ (* -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)) (taylor inf a) (#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 (* -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 #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 (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf 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>) () ())) ())
#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 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 (/ (* 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 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 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 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))) (taylor -inf a) (#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 (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) (taylor -inf a) (#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 (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) (taylor -inf a) (#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 (/ (+ (* -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)) (taylor -inf a) (#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 (* -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 #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

6 calls:

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

simplify176.0ms (1.9%)

Memory

22.3MiB live, 290.1MiB 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	2293	1612
3	6395	1612
0	8352	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) (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 (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(/ -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)))
(* 1/2 (/ (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) (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))
(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)))))
(/ 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))
(* 1/2 (/ (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) (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))
(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)))))
(/ 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))
(* 1/2 (/ (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 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))))))))
(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 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)))
(* 1/2 (/ (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)))
(/ (+ (* -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 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 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))
(* 1/2 (/ (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)) (* -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 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 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 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
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(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) a) b) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (PI.f64))) 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 (/.f64 #s(literal 1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (/.f64 (fma.f64 (.f64 (.f64 (/.f64 (PI.f64) a) b) b) #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b)) a)) a)) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(.f64 (fma.f64 (.f64 (/.f64 (PI.f64) (.f64 a a)) b) b (PI.f64)) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 b (.f64 a a)) b (/.f64 (.f64 b (.f64 (.f64 b b) b)) (.f64 a (.f64 (.f64 a a) a)))) (PI.f64)) (*.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 b (.f64 a a)) b (/.f64 (.f64 b (.f64 (.f64 b b) b)) (.f64 a (.f64 (.f64 a a) a)))) (PI.f64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))))) (.f64 a a)))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (*.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 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 (neg.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (.f64 a 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 (/.f64 b (.f64 a a)) b (/.f64 (.f64 b (.f64 (.f64 b b) b)) (.f64 a (.f64 (.f64 a 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 (/.f64 b (.f64 a a)) b (/.f64 (.f64 b (.f64 (.f64 b b) b)) (.f64 a (.f64 (.f64 a a) a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))

rewrite208.0ms (2.3%)

Memory

-19.4MiB live, 314.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

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

eval79.0ms (0.9%)

Memory: 25.7MiB live, 179.5MiB allocated
Compiler: Compiled 22 465 to 2 049 computations (90.9% saved)

prune142.0ms (1.6%)

Memory

4.3MiB live, 237.9MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	659	20	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	660	20	680

Accuracy

99.9%

Counts

680 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 b)))
	84.3%	(/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 b a)))
	84.3%	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 a b) (-.f64 b a)))
	84.3%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	78.9%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	73.9%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
	78.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
▶	99.6%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	78.9%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	84.3%	(.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))))
	99.5%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (-.f64 b a) (*.f64 a b))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
	99.5%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	78.9%	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))))
▶	84.3%	(.f64 (PI.f64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
▶	47.4%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	47.4%	#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 a a)))
▶	45.8%	#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 b b)))
	53.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	52.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))

Compiler

Compiled 820 to 492 computations (40% saved)

simplify106.0ms (1.2%)

Memory

3.4MiB live, 84.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64))
cost-diff	1408	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (.f64 a b)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	384	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
cost-diff	0	#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 b b)))
cost-diff	64	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 b a)
cost-diff	0	(/.f64 (-.f64 b a) (*.f64 a b))
cost-diff	704	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
cost-diff	1088	(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))

Rules

4 776×	`lower-fma.f64`
4 776×	`lower-fma.f32`
4 302×	`lower-*.f32`
4 274×	`lower-*.f64`
3 056×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	368
0	78	362
1	161	354
2	432	308
3	1674	308
4	4630	308
0	8161	308

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.6%)

Memory

4.2MiB live, 196.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(.f64 (PI.f64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
accuracy	0.3417827177854683	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	9.696220129013097	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (.f64 a b)))
accuracy	13.295936911478389	(/.f64 (-.f64 b a) (*.f64 a b))
accuracy	0.0078125	(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))
accuracy	0.48806837754855226	(/.f64 (PI.f64) (*.f64 a a))
accuracy	9.691173035300684	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy	30.740598275776666	#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64)))
accuracy	0.0078125	(+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
accuracy	0.38671875	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b)))
accuracy	6.09303167479973	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b))
accuracy	28.649382571488363	#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 b b)))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
accuracy	0.5970601495122172	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	8.619063836184056	(.f64 b (.f64 a a))
accuracy	26.72951826934444	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
accuracy	0.18359375	(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
accuracy	0.19207001953688402	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.2890625	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	13.295936911478389	(/.f64 (-.f64 b a) (*.f64 a b))

Samples

120.0ms

256×

valid

Compiler

Compiled 330 to 42 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 45.0ms (53.9% of total)

ival-mult: 31.0ms (37.2% of total)

ival-sub: 4.0ms (4.8% of total)

ival-add: 2.0ms (2.4% of total)

ival-pi: 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)

series57.0ms (0.6%)

Memory

-23.0MiB live, 95.5MiB allocated

Counts

23 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (PI) (* a a)) -1/2) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (* (/ 1 (* (+ a b) (- b a))) 1/2) (* (PI) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b)))) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) (* a a)) (/ 1 (* (+ a b) (- b a))))
8.0ms	b	@	0	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (PI) (* a a)) -1/2) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (* (/ 1 (* (+ a b) (- b a))) 1/2) (* (PI) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b)))) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) (* a a)) (/ 1 (* (+ a b) (- b a))))
6.0ms	b	@	-inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (PI) (* a a)) -1/2) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (* (/ 1 (* (+ a b) (- b a))) 1/2) (* (PI) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b)))) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) (* a a)) (/ 1 (* (+ a b) (- b a))))
5.0ms	b	@	inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (PI) (* a a)) -1/2) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (* (/ 1 (* (+ a b) (- b a))) 1/2) (* (PI) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b)))) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) (* a a)) (/ 1 (* (+ a b) (- b a))))
5.0ms	a	@	0	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (* b b)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (PI) (* a a)) -1/2) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (* (/ 1 (* (+ a b) (- b a))) 1/2) (* (PI) (* (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b)))) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 a) (/ -1/2 b)) (/ (PI) (* a a)) (/ 1 (* (+ a b) (- b a))))

simplify142.0ms (1.6%)

Memory

10.5MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 750×	`lower-fma.f64`
6 750×	`lower-fma.f32`
3 910×	`lower-*.f64`
3 910×	`lower-*.f32`
2 364×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	734	7105
1	2131	6549
2	7705	6541
0	8079	6253

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

Calls

Call 1

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

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

rewrite532.0ms (5.8%)

Memory

-54.5MiB live, 380.5MiB allocated

Rules

5 360×	`lower-*.f32`
5 332×	`lower-*.f64`
5 308×	`lower-/.f32`
5 286×	`lower-/.f64`
2 792×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	293
0	78	279
1	331	279
2	3057	279
0	9128	279

Stop Event

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

Counts

23 → 1 299

Calls

Call 1

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

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

eval325.0ms (3.5%)

Memory: 8.1MiB live, 550.3MiB allocated
Compiler: Compiled 53 320 to 4 958 computations (90.7% saved)

prune339.0ms (3.7%)

Memory

25.1MiB live, 532.1MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	2 249	22	2 271
Fresh	15	0	15
Picked	4	1	5
Done	0	0	0
Total	2 268	23	2 291

Accuracy

100.0%

Counts

2 291 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(/.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) a) b)) (*.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
	84.2%	(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (+.f64 a b) (-.f64 b a))) (PI.f64)) (.f64 a b))
	93.3%	(/.f64 (.f64 (-.f64 b a) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 b a) a) b))
▶	80.0%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
	88.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (.f64 (-.f64 b a) (.f64 a (/.f64 b (-.f64 b a))))))
	99.1%	(.f64 (/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (*.f64 a b) (+.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
	69.6%	(.f64 (/.f64 #s(approx (/ (- b a) ( a b)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	93.2%	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (-.f64 b a) (.f64 (*.f64 (-.f64 b a) a) b))))
	48.0%	(.f64 (PI.f64) (.f64 #s(approx (* (/ 1 (* (+ a b) (- b a))) 1/2) (/.f64 #s(literal -1/2 binary64) (.f64 a a))) (/.f64 (-.f64 b a) (.f64 a b))))
	53.1%	(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))))
	52.4%	(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))))
▶	99.5%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	53.1%	#s(approx (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	52.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (.f64 a a)))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (.f64 a b)))) b))
	52.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
	52.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (/.f64 b (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (.f64 a b)))))))
▶	58.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	52.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
▶	58.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
▶	57.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (*.f64 a b))))))
	58.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))

Compiler

Compiled 764 to 480 computations (37.2% saved)

simplify123.0ms (1.3%)

Memory

-27.1MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) b)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (*.f64 a b))))))
cost-diff	192	(fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (*.f64 a b)))))
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 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 a b))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
cost-diff	384	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 (.f64 a b) a))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 b a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff	0	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
cost-diff	0	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))

Rules

4 528×	`lower-fma.f32`
4 526×	`lower-fma.f64`
3 398×	`lower-*.f32`
3 366×	`lower-*.f64`
2 868×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	354
0	82	354
1	168	344
2	483	300
3	2093	300
4	4499	291
5	7595	291
0	8077	291

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.4%)

Memory

25.6MiB live, 296.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 b (.f64 a b))
accuracy	0.26791000976844204	(.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (.f64 a b))))
accuracy	10.717286821206478	(/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (*.f64 a b)))
accuracy	28.649382571488363	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 b (*.f64 a b))))))
accuracy	0.10546875	(.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b))
accuracy	0.2890625	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	3.9017948589401743	(.f64 (.f64 (-.f64 b a) a) b)
accuracy	12.22665528947531	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
accuracy	0	(PI.f64)
accuracy	0.1875	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
accuracy	0.5189928425671021	(/.f64 (PI.f64) (*.f64 a b))
accuracy	26.72951826934444	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64))
accuracy	0.16015625	(.f64 (.f64 a b) a)
accuracy	0.5970601495122172	(/.f64 (PI.f64) (.f64 (.f64 a b) a))
accuracy	26.72951826934444	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
accuracy	0	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy	0.19207001953688402	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.2890625	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	0.47205051453033353	(/.f64 #s(literal 1 binary64) (*.f64 b a))

Samples

100.0ms

256×

valid

Compiler

Compiled 309 to 48 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 37.0ms (46.8% of total)

ival-mult: 30.0ms (37.9% of total)

ival-sub: 8.0ms (10.1% of total)

ival-add: 2.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.7%)

Memory

-5.1MiB live, 143.5MiB allocated

Counts

26 → 564

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a b) a)) 1/2) (/ (PI) (* (* a b) a)) (PI) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (* (- b a) (* (PI) 1/2)) (- b a) (* (PI) 1/2) (* (/ 1 b) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))))) (+ (* -1/2 a) (* 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 b) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* (* (- b a) a) b) (* (* (* (- b a) a) b) (+ a b)) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (* b (* a b)))
7.0ms	a	@	-inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a b) a)) 1/2) (/ (PI) (* (* a b) a)) (PI) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (* (- b a) (* (PI) 1/2)) (- b a) (* (PI) 1/2) (* (/ 1 b) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))))) (+ (* -1/2 a) (* 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 b) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* (* (- b a) a) b) (* (* (* (- b a) a) b) (+ a b)) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (* b (* a b)))
6.0ms	a	@	inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a b) a)) 1/2) (/ (PI) (* (* a b) a)) (PI) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (* (- b a) (* (PI) 1/2)) (- b a) (* (PI) 1/2) (* (/ 1 b) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))))) (+ (* -1/2 a) (* 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 b) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* (* (- b a) a) b) (* (* (* (- b a) a) b) (+ a b)) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (* b (* a b)))
5.0ms	b	@	-inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a b) a)) 1/2) (/ (PI) (* (* a b) a)) (PI) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (* (- b a) (* (PI) 1/2)) (- b a) (* (PI) 1/2) (* (/ 1 b) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))))) (+ (* -1/2 a) (* 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 b) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* (* (- b a) a) b) (* (* (* (- b a) a) b) (+ a b)) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (* b (* a b)))
4.0ms	b	@	0	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* (* a b) a)) 1/2) (/ (PI) (* (* a b) a)) (PI) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (* (- b a) (* (PI) 1/2)) (- b a) (* (PI) 1/2) (* (/ 1 b) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))))) (+ (* -1/2 a) (* 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ 1 b) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* (* (- b a) a) b) (* (* (* (- b a) a) b) (+ a b)) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (* (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (* b (* a b)))

simplify235.0ms (2.6%)

Memory

-9.1MiB live, 274.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 570×	`lower-fma.f64`
8 570×	`lower-fma.f32`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
3 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	6334
1	1165	6170
2	3557	5854
3	7391	5854
0	8199	5651

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 561

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

rewrite193.0ms (2.1%)

Memory

29.2MiB live, 342.8MiB allocated

Rules

5 374×	`lower-/.f32`
5 358×	`lower-/.f64`
4 094×	`lower-*.f32`
4 062×	`lower-*.f64`
2 926×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	303
0	82	297
1	335	293
2	2908	293
0	8710	293

Stop Event

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

Counts

26 → 1 022

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (fma.f64 (.f64 a a) a (.f64 (.f64 b b) b))) (fma.f64 a a (*.f64 b (-.f64 b a))))
(.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)) (/.f64 (PI.f64) (+.f64 a b)))
(.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))
(.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))
(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (+.f64 a b) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))))) (neg.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) #s(literal 1 binary64))) (neg.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (neg.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal -1/2 binary64) (PI.f64))) (neg.f64 (+.f64 a b)))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) (neg.f64 (+.f64 a b)))
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))))
(/.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(.f64 (pow.f64 (.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(pow.f64 (exp.f64 (log.f64 (*.f64 a b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 a) (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (*.f64 a b) b) a) #s(literal -1/2 binary64))
(pow.f64 (*.f64 a b) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
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(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a b) b)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64))) (.f64 (neg.f64 b) (.f64 a b)))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 a b))) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b))) (neg.f64 (.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))))) (neg.f64 (neg.f64 (.f64 (neg.f64 b) (*.f64 a b)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)) (.f64 (*.f64 a b) b))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 #s(literal -1/2 binary64) a)))) (.f64 (.f64 a b) b))))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) b) a) b)
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) b) b) a)
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a b) b))) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a b) b))) (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) #s(literal 1 binary64)) (.f64 (.f64 a b) b))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 a b)) b)
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 b b)))) (neg.f64 (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a)))) (neg.f64 (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) a)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b)) (.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)))) (neg.f64 (.f64 (neg.f64 b) (*.f64 a b))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)) (.f64 (*.f64 a b) b)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 #s(literal -1/2 binary64) a)))) (.f64 (.f64 a b) b)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b) (.f64 a b))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 b b))) (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) b) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a))) (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal 1/4 binary64) (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) b) (-.f64 (.f64 #s(literal 1/2 binary64) b) (*.f64 #s(literal -1/2 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (.f64 (neg.f64 b) (*.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a b) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a b) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (.f64 (*.f64 a b) b)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (neg.f64 b) (*.f64 a b))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (.f64 (.f64 (.f64 a b) b) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) (.f64 a b))) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (neg.f64 b) (*.f64 a b))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b))) (.f64 (.f64 a b) b)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 b b)) (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal -1/2 binary64) b))) (.f64 (.f64 a b) b)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a b) b)))
(.f64 (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (*.f64 a b)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (*.f64 a b) b))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (.f64 (*.f64 a b) b)) #s(literal 1 binary64))
(.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (.f64 a b) b)) (PI.f64))
(.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a b) b)) (PI.f64)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)) b))
(.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (.f64 (.f64 a b) b)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (.f64 (*.f64 a b) b)))
(pow.f64 (/.f64 (.f64 (.f64 a b) b) (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 a b))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) b)) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b) (PI.f64))) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (PI.f64))) (neg.f64 (.f64 (neg.f64 b) (.f64 a b))))
(/.f64 (neg.f64 (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b))) (*.f64 (neg.f64 b) a))
(/.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))))) (neg.f64 (.f64 (neg.f64 b) (.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)))) (neg.f64 (.f64 (neg.f64 b) (.f64 a b))))
(/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (*.f64 a b)) b)
(/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) b) (*.f64 a b))
(/.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b) (PI.f64)) (*.f64 a b))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b))) (PI.f64)) (.f64 (neg.f64 b) (.f64 a b)))
(/.f64 (.f64 (PI.f64) (/.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) b)) (*.f64 a b))
(/.f64 (.f64 (PI.f64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)))) (.f64 (neg.f64 b) (.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64))) (.f64 (neg.f64 b) (.f64 a b)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (.f64 (.f64 a b) b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 a b) b) (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64)))))
(/.f64 (PI.f64) (.f64 (.f64 a b) (/.f64 b (fma.f64 #s(literal -1/2 binary64) a (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a b) b) (.f64 (fma.f64 #s(literal -1/2 binary64) a (.f64 #s(literal 1/2 binary64) b)) (PI.f64))))
(.f64 (.f64 a b) b)
(.f64 (.f64 b b) a)
(.f64 a (.f64 b b))
(.f64 b (.f64 a b))

eval712.0ms (7.8%)

Memory: -27.6MiB live, 433.3MiB allocated
Compiler: Compiled 37 739 to 3 655 computations (90.3% saved)

prune234.0ms (2.6%)

Memory

2.6MiB live, 447.0MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 805	15	1 820
Fresh	13	4	17
Picked	1	4	5
Done	0	1	1
Total	1 819	24	1 843

Accuracy

100.0%

Counts

1 843 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.0%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
▶	45.3%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* (* (- b a) a) b) (+ a b)) (.f64 (.f64 (*.f64 (neg.f64 a) a) a) b)))
	46.0%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* (* (- b a) a) b) (+ a b)) (.f64 (.f64 (*.f64 b b) a) b)))
▶	99.7%	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b))
	60.4%	(/.f64 #s(approx (* (- b a) (* (PI) 1/2)) (.f64 (.f64 b (PI.f64)) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))))
	88.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (.f64 (-.f64 b a) (.f64 a (/.f64 b (-.f64 b a))))))
	93.3%	(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) a) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
	53.1%	(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))))
	99.6%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
✓	99.5%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
▶	62.0%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ ( 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
	53.1%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	58.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) b) a))
	52.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) a) b))
	58.1%	#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 a b)))
▶	52.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
	52.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(approx (* (PI) (+ (/ 1/2 a) (/ -1/2 b))) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
✓	58.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	52.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
✓	58.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
	62.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) #s(approx (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))
	62.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) #s(approx ( (PI) (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b)))) (.f64 (/.f64 (PI.f64) (.f64 b a)) #s(literal 1/2 binary64)))))
▶	58.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 661 to 425 computations (35.7% saved)

simplify115.0ms (1.3%)

Memory

9.3MiB live, 169.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 988×	`lower-fma.f64`
4 988×	`lower-fma.f32`
3 964×	`lower-/.f32`
3 950×	`lower-/.f64`
3 576×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	398
0	90	398
1	170	394
2	392	344
3	1104	340
4	3857	340
5	7045	340
0	8094	340

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

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

localize159.0ms (1.7%)

Memory

-20.5MiB live, 219.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2890625	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	5.270745584166734	(.f64 (.f64 (*.f64 (neg.f64 a) a) a) b)
accuracy	12.22665528947531	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* (* (- b a) a) b) (+ a b)) (.f64 (.f64 (*.f64 (neg.f64 a) a) a) b)))
accuracy	27.106043457720595	#s(approx (* (* (* (- b a) a) b) (+ a b)) (.f64 (.f64 (*.f64 (neg.f64 a) a) a) b))
accuracy	0.19207001953688402	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ ( 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
accuracy	0.2734375	(/.f64 (PI.f64) b)
accuracy	0.47205051453033353	(/.f64 #s(literal 1 binary64) (*.f64 b a))
accuracy	31.1859359333945	#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
accuracy	0.38671875	(*.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))
accuracy	6.09303167479973	(/.f64 (.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
accuracy	28.649382571488363	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
accuracy	31.202515962813028	#s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))
accuracy	0.16015625	(.f64 (.f64 a b) a)
accuracy	0.2265625	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	0.47614418410959247	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	26.72951826934444	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
accuracy	0	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
accuracy	0.1171875	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b))
accuracy	0.2421875	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
accuracy	0.47205051453033353	(/.f64 #s(literal 1 binary64) (*.f64 a b))

Samples

126.0ms

256×

valid

Compiler

Compiled 300 to 52 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 39.0ms (45.2% of total)

ival-div: 23.0ms (26.6% of total)

ival-pi: 17.0ms (19.7% of total)

ival-sub: 3.0ms (3.5% of total)

ival-add: 2.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory

-2.2MiB live, 74.9MiB allocated

Counts

25 → 540

Calls

Call 1

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

Calls

6 calls:

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

simplify159.0ms (1.7%)

Memory

21.5MiB live, 266.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 752×	`lower-fma.f64`
8 752×	`lower-fma.f32`
4 010×	`lower-*.f64`
4 010×	`lower-*.f32`
2 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	5845
1	1033	5717
2	3232	5425
3	6716	5419
0	8259	5219

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 537

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

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

rewrite165.0ms (1.8%)

Memory

17.4MiB live, 283.2MiB allocated

Rules

5 198×	`lower-*.f32`
5 170×	`lower-*.f64`
4 870×	`lower-/.f32`
4 856×	`lower-/.f64`
2 852×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	342
0	90	338
1	350	332
2	2791	332
0	8686	332

Stop Event

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

Counts

25 → 526

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a))) (fma.f64 a a (.f64 b (-.f64 b a))))
(.f64 (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 a b))))
(.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b)))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b)))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (/.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b))))
(.f64 (PI.f64) (/.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)) (+.f64 a b)))
(.f64 (PI.f64) (.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b)))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (.f64 (PI.f64) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))))) (neg.f64 (.f64 #s(literal -2 binary64) (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))))) (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b))))
(/.f64 (neg.f64 (.f64 (PI.f64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (+.f64 a b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (+.f64 a b))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (.f64 (neg.f64 (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (.f64 #s(literal -2 binary64) (+.f64 a b)))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b)))) (.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b)))
(neg.f64 (/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (PI.f64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)) (PI.f64))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64))))
(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))))
(.f64 (PI.f64) (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (.f64 (PI.f64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (PI.f64)) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (.f64 (neg.f64 (PI.f64)) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (.f64 (PI.f64) #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) #s(literal 2 binary64))
(/.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.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 2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) a)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) b)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) #s(literal -1 binary64) (.f64 (+.f64 #s(literal 0 binary64) a) (neg.f64 b))) (*.f64 (+.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) (/.f64 #s(literal 1 binary64) b) (.f64 (+.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 0 binary64) a) b)) (*.f64 (+.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 b) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) a)))) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 (neg.f64 b) (+.f64 #s(literal 0 binary64) a) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) (.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) a)))) (.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (neg.f64 a) a))) (*.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 b (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 a a) a)))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 b (+.f64 #s(literal 0 binary64) a) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) a))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (neg.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (.f64 (+.f64 a b) (fma.f64 a a (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) (neg.f64 (.f64 (+.f64 a b) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 a a) (fma.f64 a a (.f64 b b)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (neg.f64 (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a)))) (neg.f64 (neg.f64 (+.f64 a b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (+.f64 a b) (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (fma.f64 b b (-.f64 (.f64 a a) (.f64 (neg.f64 b) a))))
(/.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))) (.f64 (+.f64 a b) (fma.f64 (.f64 (.f64 b b) b) b (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))))))
(/.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))) (neg.f64 (-.f64 b (neg.f64 a))))
(/.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 b a))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (-.f64 b a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (-.f64 b (neg.f64 a)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (-.f64 b a) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 #s(literal 1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (neg.f64 a))
(fma.f64 a #s(literal -1 binary64) b)
(fma.f64 b #s(literal 1 binary64) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(fma.f64 b #s(literal 1 binary64) (neg.f64 a))
(-.f64 (+.f64 b #s(literal 0 binary64)) a)
(-.f64 (/.f64 (.f64 (.f64 b b) b) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 a (+.f64 a b) (.f64 b b))))
(-.f64 (/.f64 (.f64 b b) (+.f64 a b)) (/.f64 (.f64 a a) (+.f64 a b)))
(-.f64 b a)
(+.f64 (neg.f64 a) b)
(+.f64 b (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(+.f64 b (neg.f64 a))
(.f64 (pow.f64 (.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a b)))
(pow.f64 (exp.f64 (log.f64 (*.f64 a b))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 a) (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (.f64 b (.f64 (*.f64 a a) b)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 a b) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 b))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 b) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) b) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) b)
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(exp.f64 (+.f64 (neg.f64 (log.f64 b)) (neg.f64 (log.f64 a))))
(exp.f64 (+.f64 (neg.f64 (log.f64 a)) (neg.f64 (log.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 a b)) #s(literal -1 binary64)))
#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(.f64 (.f64 a a) b)
(.f64 (.f64 a b) a)
(.f64 a (.f64 a b))
(.f64 b (.f64 a a))
#s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a))
#s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) b))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) b))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) b))
(pow.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))
(/.f64 (PI.f64) b)
(neg.f64 (/.f64 (neg.f64 (PI.f64)) b))
(neg.f64 (/.f64 (PI.f64) (neg.f64 b)))
(exp.f64 (+.f64 (neg.f64 (log.f64 b)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (PI.f64))) #s(literal -1 binary64)))
#s(approx (* (* (* (- b a) a) b) (+ a b)) (.f64 (.f64 (*.f64 (neg.f64 a) a) b) a))
(.f64 (.f64 (*.f64 (neg.f64 a) a) b) a)
(.f64 (.f64 b (*.f64 (neg.f64 a) a)) a)
(.f64 (.f64 (*.f64 (neg.f64 a) a) a) b)
(.f64 (.f64 (neg.f64 b) a) (*.f64 a a))
(.f64 (.f64 (neg.f64 a) a) (*.f64 a b))
(.f64 (neg.f64 a) (.f64 (*.f64 a a) b))
(.f64 (.f64 a b) (*.f64 (neg.f64 a) a))
(.f64 a (.f64 (*.f64 (neg.f64 a) a) b))
(.f64 a (.f64 (*.f64 (neg.f64 b) a) a))
(.f64 b (.f64 (*.f64 (neg.f64 a) a) a))
(neg.f64 (.f64 (.f64 a a) (*.f64 a b)))

eval201.0ms (2.2%)

Memory: -9.0MiB live, 305.4MiB allocated
Compiler: Compiled 22 082 to 2 130 computations (90.4% saved)

prune316.0ms (3.4%)

Memory

5.1MiB live, 280.3MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	1 241	5	1 246
Fresh	7	7	14
Picked	4	1	5
Done	2	3	5
Total	1 254	16	1 270

Accuracy

100.0%

Counts

1 270 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 #s(approx (* (* (PI) 1/2) (/ (/ (- b a) (* a b)) (- b a))) (.f64 (/.f64 (PI.f64) (.f64 b a)) #s(literal 1/2 binary64))) (+.f64 a b))
	88.8%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64)) (.f64 (-.f64 b a) (.f64 a (/.f64 b (-.f64 b a))))))
	93.3%	(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (-.f64 b a) a) b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
	99.6%	(.f64 (/.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (+.f64 a b)) (.f64 #s(literal 1/2 binary64) (PI.f64)))
	53.1%	(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))))
	53.1%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	52.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) a) b))
	58.1%	#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 a b)))
	62.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) b)))))
✓	58.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	52.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
✓	58.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
	62.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) b)))
	62.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1 binary64) b) (.f64 (PI.f64) #s(approx (/ (+ (* -1/2 a) (* 1/2 b)) (* b (* a b))) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))))
✓	58.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
	52.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b))))

Compiler

Compiled 1 215 to 350 computations (71.2% saved)

regimes123.0ms (1.3%)

Memory

5.2MiB live, 121.3MiB allocated

Counts

63 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	a
39.0ms	b
38.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes40.0ms (0.4%)

Memory

15.8MiB live, 55.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	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
99.7%	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)

regimes51.0ms (0.6%)

Memory

-9.4MiB live, 30.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

40.0ms	(.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)))
5.0ms	b
5.0ms	a

Results

Accuracy	Segments	Branch
82.9%	2	`a`
82.9%	2	`b`
67.7%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

8.8MiB live, 8.8MiB 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))))
(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory

-56.6MiB live, 10.1MiB 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 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* (* (- b a) a) b) (+ a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))))
(.f64 (PI.f64) #s(approx ( (* (/ 1 (* (+ a b) (- b a))) 1/2) (/ (- b a) (* a b))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b))))

Outputs

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

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

Calls

2 calls:

21.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
82.9%	2	`a`
82.8%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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 (*.f64 a b) a))))

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.2%	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)))`
58.2%	1	`b`
58.2%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Accuracy

Total -3.8b remaining (-14.2%)

Threshold costs -3.8b (-14.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.2%	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)))`
58.2%	1	`b`
58.2%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch15.0ms (0.2%)

Memory

-19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.4344116427362922e-76	9.646992262712548e-76

Samples

11.0ms

80×

valid

Compiler

Compiled 161 to 110 computations (31.7% saved)

Precisions

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

ival-pi: 4.0ms (45.3% of total)

ival-div: 2.0ms (22.6% of total)

ival-mult: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.4344116427362922e-76	9.646992262712548e-76

Compiler

Compiled 161 to 110 computations (31.7% saved)

bsearch25.0ms (0.3%)

Memory

-3.7MiB live, 35.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-2.1956911015906384e-93	-5.5973343832818314e-99

Samples

18.0ms

144×

valid

Compiler

Compiled 269 to 182 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 9.0ms (63.1% of total)

ival-mult: 3.0ms (21% of total)

ival-pi: 1.0ms (7% of total)

ival-sub: 1.0ms (7% 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

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.1956911015906384e-93	-5.5973343832818314e-99

Compiler

Compiled 260 to 182 computations (30% saved)

simplify7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	402
1	88	402

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b))
(/.f64 #s(approx (* (* (PI) 1/2) (/ (/ (- b a) (* a b)) (- b a))) (.f64 (/.f64 (PI.f64) (.f64 b a)) #s(literal 1/2 binary64))) (+.f64 a b))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 a #s(literal -5049366552963741/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 a #s(literal -5049366552963741/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Outputs
(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b)))) (+.f64 a b))
(/.f64 (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 a b))) (.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 a b))
(/.f64 #s(approx (* (* (PI) 1/2) (/ (/ (- b a) (* a b)) (- b a))) (.f64 (/.f64 (PI.f64) (.f64 b a)) #s(literal 1/2 binary64))) (+.f64 a b))
(/.f64 #s(approx (* (* (PI) 1/2) (/ (/ (- b a) (* a b)) (- b a))) (.f64 (/.f64 (PI.f64) (.f64 a b)) #s(literal 1/2 binary64))) (+.f64 a b))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) (.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 b #s(literal 7822218149124427/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 a #s(literal -5049366552963741/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (PI.f64) (.f64 b b)))))
(if (<=.f64 a #s(literal -5049366552963741/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b b)) #s(approx (+ (/ 1/2 a) (/ -1/2 b)) (/.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 a #s(literal -5049366552963741/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)) (PI.f64)))

soundness1.5s (15.9%)

Memory

28.2MiB live, 692.7MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
8 752×	`lower-fma.f64`
8 752×	`lower-fma.f32`
6 750×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	303
0	82	297
1	335	293
2	2908	293
0	8710	293
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	734	7105
1	2131	6549
2	7705	6541
0	8079	6253
0	63	342
0	90	338
1	350	332
2	2791	332
0	8686	332
0	352	5845
1	1033	5717
2	3232	5425
3	6716	5419
0	8259	5219
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	50	293
0	78	279
1	331	279
2	3057	279
0	9128	279

Stop Event

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

Compiler

Compiled 547 to 302 computations (44.8% saved)

preprocess298.0ms (3.3%)

Memory: 1.5MiB live, 121.6MiB allocated
Remove: (sort a b)
Compiler: Compiled 468 to 194 computations (58.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze88.0ms (1%)

sample1.3s (14.2%)

explain218.0ms (2.4%)

preprocess164.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify122.0ms (1.3%)

localize77.0ms (0.8%)

series14.0ms (0.2%)

simplify176.0ms (1.9%)

rewrite208.0ms (2.3%)

eval79.0ms (0.9%)

prune142.0ms (1.6%)

simplify106.0ms (1.2%)

localize148.0ms (1.6%)

series57.0ms (0.6%)

simplify142.0ms (1.6%)

rewrite532.0ms (5.8%)

eval325.0ms (3.5%)

prune339.0ms (3.7%)

simplify123.0ms (1.3%)

localize132.0ms (1.4%)

series66.0ms (0.7%)

simplify235.0ms (2.6%)

rewrite193.0ms (2.1%)

eval712.0ms (7.8%)

prune234.0ms (2.6%)

simplify115.0ms (1.3%)

localize159.0ms (1.7%)

series44.0ms (0.5%)

simplify159.0ms (1.7%)

rewrite165.0ms (1.8%)

eval201.0ms (2.2%)

prune316.0ms (3.4%)

regimes123.0ms (1.3%)

regimes40.0ms (0.4%)

regimes51.0ms (0.6%)

regimes4.0ms (0%)

regimes26.0ms (0.3%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.5s (15.9%)

preprocess298.0ms (3.3%)

end0.0ms (0%)

Profiling