Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze89.0ms (1%)

Memory

-14.0MiB live, 142.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (13.5%)

Memory

24.4MiB live, 1 589.3MiB allocated

Samples

871.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-div: 258.0ms (39.6% of total)

ival-mult: 225.0ms (34.5% of total)

ival-sub: 83.0ms (12.7% of total)

ival-pi: 68.0ms (10.4% of total)

exact: 8.0ms (1.2% of total)

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

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

Bogosity

explain215.0ms (2.4%)

Memory

0.9MiB live, 248.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	3	(-2.6260216813384895e+160 1.5507942073929293e-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)))`
16	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
6	-	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**	36	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	16	0
↳	`(*.f64 b b)`	overflow	52
↳	`(*.f64 a a)`	overflow	80
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	6	0
↳	`(*.f64 b b)`	overflow	52
↳	`(*.f64 a a)`	overflow	80
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	116

Confusion

	Predicted +	Predicted -
+	55	7
-	3	191

Precision

0.9482758620689655

Recall

0.8870967741935484

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	7
-	3	0	191

Precision?

0.9482758620689655

Recall?

0.8870967741935484

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

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

ival-div: 14.0ms (41.8% of total)

ival-mult: 12.0ms (35.9% of total)

ival-sub: 4.0ms (12% of total)

ival-pi: 2.0ms (6% of total)

exact: 1.0ms (3% of total)

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

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

preprocess174.0ms (1.9%)

Memory

26.7MiB live, 174.1MiB 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 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (-.f64 (/.f64 (PI.f64) a) (/.f64 (PI.f64) b)) (-.f64 b a)))

Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify125.0ms (1.4%)

Memory

7.4MiB live, 161.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.6%)

Memory

5.0MiB live, 85.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.6536001605253678	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.4999876149812352	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.444659995534506	(.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

32.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.9% of total)

ival-div: 7.0ms (37.5% of total)

ival-sub: 2.0ms (10.7% of total)

ival-pi: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-5.7MiB live, 29.3MiB 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
5.0ms	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))))
2.0ms	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))))
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))))

simplify168.0ms (1.8%)

Memory

-9.4MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	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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(/ (+ (* -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 #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 (/.f64 (/.f64 (fma.f64 (.f64 (/.f64 (PI.f64) (*.f64 a a)) b) b (PI.f64)) a) a) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) 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) a) (/.f64 (+.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (PI.f64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64))))) a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) (.f64 a a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (fma.f64 (/.f64 (/.f64 b 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 (/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))) 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 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (*.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 (/.f64 b a) a) b (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))

rewrite224.0ms (2.5%)

Memory

-6.9MiB live, 234.4MiB 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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 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 (cbrt.f64 (PI.f64)) #s(literal 2 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 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 a a (*.f64 b b)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) 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 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (PI.f64))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a))) (neg.f64 (PI.f64))) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (fma.f64 a a (.f64 b b)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.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 (-.f64 b a) a) b) (-.f64 b a)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) 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) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 b a) a) b))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.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 (-.f64 b a) a) b) (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (pow.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) 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) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) a))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (+.f64 a b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 b a)))
(.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (.f64 (fma.f64 a a (.f64 b b)) (/.f64 (/.f64 (-.f64 b a) a) b)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 b a) a) b)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
(.f64 (/.f64 (-.f64 b a) a) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) b))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (+.f64 a b) (*.f64 a b)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (.f64 (/.f64 (+.f64 a b) (PI.f64)) (/.f64 (-.f64 b a) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(.f64 (.f64 (PI.f64) (/.f64 (/.f64 (-.f64 b a) a) b)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (PI.f64) (fma.f64 (neg.f64 b) b (*.f64 a a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 (/.f64 (-.f64 b a) a) b)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a))))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (PI.f64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 (/.f64 (+.f64 a b) (.f64 a b)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (pow.f64 b #s(literal -2 binary64))) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 #s(literal 1/2 binary64) (-.f64 b a))) (pow.f64 (*.f64 a b) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b)) (pow.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (.f64 (+.f64 a b) (-.f64 b a)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.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 (-.f64 b a) a) b))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (pow.f64 (PI.f64) #s(literal -1 binary64))))
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eval114.0ms (1.2%)

Memory: 1.8MiB live, 186.8MiB allocated
Compiler: Compiled 19 185 to 2 101 computations (89% saved)

prune60.0ms (0.7%)

Memory

12.8MiB live, 88.5MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	658	21	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	659	21	680

Accuracy

99.9%

Counts

680 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	87.7%	(fma.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))))
	77.4%	(/.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 a b) (-.f64 b a)))
	49.4%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 a b) (*.f64 a b)))
	86.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	81.8%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	83.4%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))) (.f64 a b))
▶	75.6%	(/.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))
	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))))
	85.5%	(.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
	86.2%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	85.5%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
▶	82.0%	(.f64 (-.f64 b a) (.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
	85.5%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	81.8%	(.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)))))
▶	47.8%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	49.2%	(.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)))
	49.2%	#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)))
	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) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	54.3%	#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)))
▶	57.3%	#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 826 to 570 computations (31% saved)

simplify153.0ms (1.7%)

Memory

16.3MiB live, 139.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	256	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff	576	(.f64 (-.f64 b a) (.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
cost-diff	5440	(.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))))
cost-diff	0	(*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
cost-diff	5760	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (-.f64 b a))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))
cost-diff	128	(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))))
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 (PI.f64) (+.f64 a b))
cost-diff	256	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff	2240	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))

Rules

4 716×	`lower-*.f32`
4 688×	`lower-*.f64`
4 066×	`lower-fma.f32`
4 062×	`lower-fma.f64`
2 960×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	398
0	90	414
1	175	400
2	557	373
3	2611	365
4	5954	365
0	8384	365

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.9%)

Memory

2.4MiB live, 282.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.6453997811930937	(.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))))
accuracy	0.8705535129450988	(pow.f64 (*.f64 a b) #s(literal -1 binary64))
accuracy	10.860894967535028	(.f64 (-.f64 b a) (.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
accuracy	0.125	(/.f64 (/.f64 (PI.f64) b) b)
accuracy	0.234375	(/.f64 (PI.f64) b)
accuracy	8.444659995534506	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy	30.866639826763173	#s(approx (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64)))
accuracy	2.507784976055602	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	2.6614568602592854	(.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
accuracy	3.8701146086447618	(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a)
accuracy	10.892144967535028	(/.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))
accuracy	0.01171875	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
accuracy	1.1097691189930974	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	9.528956298924	(.f64 b (.f64 a a))
accuracy	22.44992999906984	#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	0.26953125	(/.f64 (PI.f64) (+.f64 a b))
accuracy	0.30306625976844204	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))
accuracy	1.6171813074906174	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
accuracy	4.8671629309708715	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))

Samples

135.0ms

256×

valid

Compiler

Compiled 379 to 50 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 29.0ms (41.9% of total)

ival-div: 20.0ms (28.9% of total)

ival-pow: 9.0ms (13% of total)

ival-add: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.3% of total)

ival-neg: 2.0ms (2.9% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series79.0ms (0.9%)

Memory

-15.6MiB live, 176.1MiB allocated

Counts

28 → 612

Calls

Call 1

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

Outputs
#s(alt (/ -1/2 (pow a 2)) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) (patch (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) (patch (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) (patch (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b) (taylor 0 b) (#s(alt (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) (patch (fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (PI) (pow a 2))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (PI) a) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (+.f64 a b)) (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a)) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (+.f64 a b)) (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a)) (taylor 0 b) (#s(alt (/.f64 (PI.f64) (+.f64 a b)) (patch (/.f64 (PI.f64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a)) (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 #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 (* a (PI))) (taylor 0 b) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) (taylor 0 b) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (* b (PI))) (* -1/2 (* a (PI)))) (taylor 0 b) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a) b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (pow.f64 (.f64 a b) #s(literal -1 binary64)) (patch (pow.f64 (.f64 a b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (pow.f64 (.f64 a b) #s(literal -1 binary64)) (patch (pow.f64 (.f64 a b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (pow.f64 (.f64 a b) #s(literal -1 binary64)) (patch (pow.f64 (.f64 a b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor -inf a) (#s(alt (pow.f64 (.f64 a b) #s(literal -1 binary64)) (patch (pow.f64 (.f64 a b) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) b) b) 1/2) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a)))) (* (- b a) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))))) (- b a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (* b (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) b) (/ (/ (PI) b) b) (pow (* a b) -1) (/ (PI) (- b a)))
10.0ms	b	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) b) b) 1/2) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a)))) (* (- b a) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))))) (- b a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (* b (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) b) (/ (/ (PI) b) b) (pow (* a b) -1) (/ (PI) (- b a)))
9.0ms	b	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) b) b) 1/2) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a)))) (* (- b a) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))))) (- b a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (* b (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) b) (/ (/ (PI) b) b) (pow (* a b) -1) (/ (PI) (- b a)))
8.0ms	b	@	-inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) b) b) 1/2) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a)))) (* (- b a) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))))) (- b a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (* b (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) b) (/ (/ (PI) b) b) (pow (* a b) -1) (/ (PI) (- b a)))
7.0ms	a	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (- (/ 1 a) (/ 1 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (* (/ (/ (PI) b) b) 1/2) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a)))) (* (- b a) (* (pow (* a b) -1) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))))) (- b a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (* b (* a a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)) (/ (PI) b) (/ (/ (PI) b) b) (pow (* a b) -1) (/ (PI) (- b a)))

simplify593.0ms (6.5%)

Memory

-126.9MiB live, 377.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 546×	`lower-fma.f64`
11 546×	`lower-fma.f32`
6 694×	`lower-+.f64`
6 694×	`lower-+.f32`
5 470×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1096	10063
1	3403	9032
0	8844	8641

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 609

Calls

Call 1

Inputs
(/ -1/2 (pow a 2))
(- (* -1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(- (* b (- (* b (- (* -1/2 (/ b (pow a 5))) (* 1/2 (/ 1 (pow a 4))))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (+ (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (* b (+ (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (* 1/2 (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))))))))))) b)
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))
(/ (PI) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(* 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 (* a (PI)))
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI))))
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI))))
(- (* -1/2 (* b (PI))) (* -1/2 (* a (PI))))
(* -1/2 (* 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 (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ -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 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* -1/2 (/ (PI) (* (pow a 3) b)))
(/ (+ (* -1/2 (/ (PI) (pow a 3))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 5)))) b)
(/ (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5)))))) b)
(/ (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 5))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 7)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 5)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 7))))))))) 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 a)
(- b a)
(- b a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* 1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* 1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))))))) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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)
(pow a 3)
(+ (* -1 (* a (pow b 2))) (pow a 3))
(+ (* -1 (* a (pow b 2))) (pow a 3))
(+ (* -1 (* a (pow b 2))) (pow a 3))
(* (pow a 3) b)
(* b (+ (* -1 (* a (pow b 2))) (pow a 3)))
(* b (+ (* -1 (* a (pow b 2))) (pow a 3)))
(* b (+ (* -1 (* a (pow b 2))) (pow a 3)))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* -1 (/ (PI) a))
(+ (* -1 (/ (PI) a)) (* -1 (/ (* b (PI)) (pow a 2))))
(+ (* -1 (/ (PI) a)) (* b (- (* -1 (/ (* b (PI)) (pow a 3))) (/ (PI) (pow a 2)))))
(+ (* -1 (/ (PI) a)) (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2)))))
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(/ (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) b)
(/ (- (+ (* 1/2 (/ (pow a 2) (pow b 3))) (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) (* -1/2 (/ a (pow b 2)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a)))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))))))) (pow b 2))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 3))))))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(* 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 (* b (PI)))
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (- (* 1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* 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 (PI))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(* b (+ (PI) (* -1 (/ (* a (PI)) b))))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 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 b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (* a (pow b 3))))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (* 1/2 (/ (PI) a))) (pow b 3))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (* 1/2 (/ (PI) a)))) (pow b 3))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (* a b))) (+ (* -1/2 (/ (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* a (PI))) (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* a (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (/ (PI) a))))) (pow b 3))
(* 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))
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* -1/2 (/ (PI) (pow b 3)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))))) (pow b 3))
(/ (+ (* -1/2 (PI)) (+ (* 1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* 1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))))) (pow b 3))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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 (* a (pow b 2)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* -1 (* a (pow b 3)))
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 3) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* -1 (pow b 2))
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(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ (PI) b)
(/ (+ (PI) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 3) (PI)) (pow b 3))) (+ (* -1 (/ (* a (PI)) b)) (* -1 (/ (* (pow a 2) (PI)) (pow b 2))))) b)
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) b)
(* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a))) b))
(* -1 (/ (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow a 2) b)) (* 1/2 a)) b))) b)) (* 1/2 (/ 1 a))) b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (+ (* 1/2 (* (PI) (+ a (* -1 a)))) (* 1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))))) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) a)))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(* 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 (* b (PI)))
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI)))))
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI)))))
(* -1 (* b (- (* -1/2 (/ (* a (PI)) b)) (* -1/2 (PI)))))
(* 1/2 (* b (PI)))
(* -1 (* 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 (PI))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(* -1 (* b (+ (* -1 (PI)) (/ (* a (PI)) b))))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 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 b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (pow b 2)))
(* 1/2 (/ (PI) (* a (pow b 3))))
(* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (* (PI) (+ a (* -1 a))) (* a b)))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) a)) (* 1/2 (/ (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)) b))) b)) (* -1/2 (/ (PI) a))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a))) (* 1/2 (/ (+ (* a (* (PI) (+ a (* -1 a)))) (* (+ a (* -1 a)) (+ (* a (PI)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) a)))) b))) b)) (* -1/2 (/ (* (PI) (+ a (* -1 a))) a))) b)) (* -1/2 (/ (PI) a))) (pow b 3)))
(* 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))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1/2 (/ (PI) (pow b 3)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 3)))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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 (* a (pow b 2)))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* -1 a) (/ (pow a 3) (pow b 2))))
(* -1 (* a (pow b 3)))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(* -1 (* (pow b 3) (+ a (* -1 (/ (pow a 3) (pow b 2))))))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) b)
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ (PI) (pow b 2))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (* a (PI)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* a (PI)) (/ (* (pow a 2) (PI)) b)) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow a 2) (PI))) (* -1 (/ (* (pow a 3) (PI)) b))) b)) (* a (PI))) b))) b))
(/ 1/2 (* a b))
(/ (+ (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* 1/2 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(/ (+ (* a (+ (* a (+ (* 1/2 (/ a (pow b 4))) (* 1/2 (/ 1 (pow b 3))))) (* 1/2 (/ 1 (pow b 2))))) (* 1/2 (/ 1 b))) a)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6)))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))))))) a)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(* 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 (* b (PI)))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(- (* 1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* 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 (PI))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(+ (* -1 (* a (PI))) (* b (PI)))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) 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)
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* 1/2 (/ (PI) (* a (pow b 3))))
(/ (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))) (* 1/2 (/ (PI) (pow b 3)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5)))))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 3))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))))))) 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)
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1/2 (/ (PI) (pow b 3)))
(+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 5))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7)))))) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))))))
(+ (* -1/2 (/ (PI) (pow b 3))) (* a (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 5))) (* a (+ (* 1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 7))))) (* 1/2 (+ (* -1 (/ (PI) (pow b 5))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 7))))))))))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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 (* a (pow b 2)))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(* a (+ (* -1 (pow b 2)) (pow a 2)))
(* -1 (* a (pow b 3)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(* a (+ (* -1 (pow b 3)) (* (pow a 2) b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ (PI) b)
(+ (/ (PI) b) (/ (* a (PI)) (pow b 2)))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(+ (* a (- (* a (- (/ (* a (PI)) (pow b 4)) (* -1 (/ (PI) (pow b 3))))) (* -1 (/ (PI) (pow b 2))))) (/ (PI) b))
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (* -1/2 (/ (pow b 2) (pow a 2)))) 1/2) (pow a 2))
(/ (- (+ (* -1/2 (/ b a)) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/2 (/ (pow b 3) (pow a 3))))) 1/2) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow a 2))) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3))))))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(* 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 (* a (PI)))
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))))
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))))
(* a (- (* -1/2 (/ (* b (PI)) a)) (* -1/2 (PI))))
(* -1/2 (* a (PI)))
(* 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 (PI)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(* a (+ (* -1 (PI)) (/ (* b (PI)) a)))
(/ -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 3) b)))
(/ (+ (* -1/2 (/ (PI) b)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 3))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 3))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 3))
(* 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)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b)))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))))) (pow a 2))
(/ (+ (* 1/2 (/ (PI) b)) (+ (* 1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (+ (* 1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) (pow a 2))) (* 1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) (pow a 3)))))) (pow a 2))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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))
(pow a 3)
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) b)
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2)))))
(* (pow a 3) (+ b (* -1 (/ (pow b 3) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* -1 (/ (PI) a))
(/ (+ (* -1 (PI)) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 2) (PI)) (pow a 2)))) (/ (* b (PI)) a)) a)
(/ (- (+ (* -1 (PI)) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (/ (* b (PI)) a) (/ (* (pow b 2) (PI)) (pow a 2)))) a)
(/ -1/2 (pow a 2))
(/ (- (* -1/2 (/ b a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* 1/2 b) (* 1/2 (/ (pow b 2) a))) a)) 1/2) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a)) 1/2) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1 (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) (* 1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))))) a)) (+ (* 1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b))))) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b)))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* 1/2 (/ (PI) (* (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 (* a (PI)))
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1/2 (* a (PI)))
(* -1 (* 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 (PI)))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a)))))
(/ -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 3) b)))
(* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 3)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 a)
(* -1 (* 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) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (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))
(pow a 3)
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1)))
(* -1 (* (pow a 3) (- (/ (pow b 2) (pow a 2)) 1)))
(* (pow a 3) b)
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2)))))
(* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* -1 (/ (PI) a))
(* -1 (/ (+ (PI) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a))
(* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a))

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

rewrite261.0ms (2.9%)

Memory

-6.9MiB live, 396.3MiB allocated

Rules

4 936×	`lower-/.f32`
4 914×	`lower-/.f64`
3 532×	`lower-*.f32`
3 504×	`lower-*.f64`
1 994×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	311
0	90	311
1	347	287
2	3271	287
0	8300	287

Stop Event

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

Counts

28 → 1 340

Calls

Call 1

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

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

eval507.0ms (5.6%)

Memory: 10.5MiB live, 748.6MiB allocated
Compiler: Compiled 73 885 to 7 197 computations (90.3% saved)

prune144.0ms (1.6%)

Memory

27.6MiB live, 295.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	2 665	19	2 684
Fresh	12	4	16
Picked	4	1	5
Done	0	0	0
Total	2 681	24	2 705

Accuracy

100.0%

Counts

2 705 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) a)) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	81.8%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx (* (/ 1/2 (- b a)) (pow a -1)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	86.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	81.8%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	75.3%	(/.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)) b) a))
	78.4%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (*.f64 (+.f64 a b) (-.f64 a b)) a) b))
	48.8%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b)) a) b))
	48.0%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b))
▶	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)))
	82.9%	(.f64 (-.f64 b a) (/.f64 (.f64 (.f64 (/.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 a b) (*.f64 a b))))
▶	81.7%	(.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))))
	99.6%	(.f64 (.f64 (-.f64 b a) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
	48.9%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (/.f64 (-.f64 b a) (.f64 a b)))
	54.9%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) #s(approx (- (/ 1 a) (/ 1 b)) (/.f64 #s(literal 1 binary64) a)))
	54.3%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	64.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
	49.2%	#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)))
	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) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	57.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) (PI.f64)))))
	64.2%	#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)))
✓	57.3%	#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)))
	64.7%	#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)))
▶	57.3%	#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 a) b))))

Compiler

Compiled 756 to 555 computations (26.6% saved)

simplify156.0ms (1.7%)

Memory

-25.2MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) (-.f64 b a))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))
cost-diff	128	(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))))
cost-diff	384	(/.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)) b) a))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	1152	(.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
cost-diff	768	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
cost-diff	0	(+.f64 a b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
cost-diff	0	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)))
cost-diff	1408	(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))

Rules

5 394×	`lower-*.f32`
5 366×	`lower-*.f64`
4 770×	`lower-fma.f32`
4 768×	`lower-fma.f64`
3 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	323
0	75	361
1	163	357
2	597	285
3	3368	285
4	7269	285
0	8550	283

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.5%)

Memory

13.6MiB live, 167.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.507784976055602	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	2.654646861898264	(.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) b) a)
accuracy	4.479633982084145	(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b)
accuracy	10.892144967535028	(/.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)) b) a))
accuracy	0	(PI.f64)
accuracy	0.12890625	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)))
accuracy	0.8120631409183074	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy	10.860894967535028	(.f64 (-.f64 b a) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))))
accuracy	0	(PI.f64)
accuracy	0.125	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a)
accuracy	0.852500139324014	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))
accuracy	22.44992999906984	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
accuracy	0.18816376953688402	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	1.0193584591587792	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	9.528956298924	(.f64 (.f64 a a) b)
accuracy	22.44992999906984	#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 a) b))))
accuracy	0.15462875976844204	(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b))
accuracy	0.18587875976844204	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)))
accuracy	0.25390625	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.296875	(*.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))

Samples

78.0ms

256×

valid

Compiler

Compiled 309 to 45 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 26.0ms (45.4% of total)

ival-div: 18.0ms (31.4% of total)

ival-sub: 7.0ms (12.2% of total)

ival-add: 3.0ms (5.2% of total)

ival-neg: 2.0ms (3.5% of total)

ival-pi: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

6.4MiB live, 78.9MiB allocated

Counts

26 → 576

Calls

Call 1

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

Outputs
#s(alt (PI) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (patch (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (PI) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (patch (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (PI) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (patch (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (PI) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (patch (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (patch (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (patch (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (patch (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) (taylor 0 b) (#s(alt (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) (patch (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (.f64 (/.f64 (PI.f64) (-.f64 b a)) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 a) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b (pow a 2))) (* 1/2 (/ 1 a))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/2 (/ b (pow a 4))) (* 1/2 (/ 1 (pow a 3))))) (* 1/2 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.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 a) b)))) (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 a) b)))) #<representation binary64>) () ())) ())
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#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 (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)) b) a)) (patch (/.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)) b) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* a (PI))) (taylor -inf a) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (patch (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a (PI))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))))) (taylor -inf a) (#s(alt (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) (patch (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (PI))) (taylor -inf a) (#s(alt (.f64 (PI.f64) (-.f64 b a)) (patch (.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (.f64 (PI.f64) (-.f64 b a)) (patch (.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (.f64 (PI.f64) (-.f64 b a)) (patch (.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (PI) (* -1 (/ (* b (PI)) a))))) (taylor -inf a) (#s(alt (.f64 (PI.f64) (-.f64 b a)) (patch (.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (/ (* b (PI)) a)) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (* (pow b 2) (PI)) a)) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (PI) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* -1 (* (pow b 2) (PI)))) a)) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (PI.f64) (-.f64 b a)) (patch (/.f64 (PI.f64) (-.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.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 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.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 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.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 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a a) b) (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a a) b) (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a a) b) (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a a) b) (patch (.f64 (.f64 a a) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) b)) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (patch (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a)))) (taylor -inf a) (#s(alt (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (patch (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 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 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (patch (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 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 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (patch (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (PI) (* (pow a 3) b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (* a b))) (* 1/2 (/ (PI) b))) (pow a 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* b (* (PI) (+ b (* -1 b)))) (* (+ b (* -1 b)) (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (+ (* b (PI)) (/ (* (PI) (pow (+ b (* -1 b)) 2)) b)))) a)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) (patch (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (* -1 (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) (patch (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (* -1 (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) (patch (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (* -1 (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) (patch (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) b) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ (* -1 b) (/ (pow b 3) (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) (patch (.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) b) a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 b) b (.f64 a a)) (patch (fma.f64 (neg.f64 b) b (.f64 a a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	((* (/ (PI) (- b a)) (- b a)) (* (/ (/ 1/2 (+ a b)) (* a b)) (* (/ (PI) (- b a)) (- b a))) (/ 1/2 (+ a b)) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (* (- b a) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b)))) (- b a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (PI) (- b a)) (/ (/ 1/2 (+ a b)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a b)) (* (* (+ a b) (- b a)) (* a b)) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b))) (* (+ (* (neg b) b) (* a a)) b) (* (* (+ (* (neg b) b) (* a a)) b) a) (+ (* (neg b) b) (* a a)))
4.0ms	b	@	-inf	((* (/ (PI) (- b a)) (- b a)) (* (/ (/ 1/2 (+ a b)) (* a b)) (* (/ (PI) (- b a)) (- b a))) (/ 1/2 (+ a b)) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (* (- b a) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b)))) (- b a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (PI) (- b a)) (/ (/ 1/2 (+ a b)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a b)) (* (* (+ a b) (- b a)) (* a b)) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b))) (* (+ (* (neg b) b) (* a a)) b) (* (* (+ (* (neg b) b) (* a a)) b) a) (+ (* (neg b) b) (* a a)))
3.0ms	b	@	0	((* (/ (PI) (- b a)) (- b a)) (* (/ (/ 1/2 (+ a b)) (* a b)) (* (/ (PI) (- b a)) (- b a))) (/ 1/2 (+ a b)) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (* (- b a) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b)))) (- b a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (PI) (- b a)) (/ (/ 1/2 (+ a b)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a b)) (* (* (+ a b) (- b a)) (* a b)) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b))) (* (+ (* (neg b) b) (* a a)) b) (* (* (+ (* (neg b) b) (* a a)) b) a) (+ (* (neg b) b) (* a a)))
3.0ms	a	@	inf	((* (/ (PI) (- b a)) (- b a)) (* (/ (/ 1/2 (+ a b)) (* a b)) (* (/ (PI) (- b a)) (- b a))) (/ 1/2 (+ a b)) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (* (- b a) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b)))) (- b a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (PI) (- b a)) (/ (/ 1/2 (+ a b)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a b)) (* (* (+ a b) (- b a)) (* a b)) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b))) (* (+ (* (neg b) b) (* a a)) b) (* (* (+ (* (neg b) b) (* a a)) b) a) (+ (* (neg b) b) (* a a)))
3.0ms	a	@	-inf	((* (/ (PI) (- b a)) (- b a)) (* (/ (/ 1/2 (+ a b)) (* a b)) (* (/ (PI) (- b a)) (- b a))) (/ 1/2 (+ a b)) (+ a b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a b)) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (* (- b a) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b)))) (- b a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (PI) (- b a)) (/ (/ 1/2 (+ a b)) (* a b)) (* (* a a) b) (/ (* (PI) 1/2) (* a b)) (* (* (+ a b) (- b a)) (* a b)) (/ (* (PI) 1/2) (* (* (+ a b) (- b a)) (* a b))) (* (+ (* (neg b) b) (* a a)) b) (* (* (+ (* (neg b) b) (* a a)) b) a) (+ (* (neg b) b) (* a a)))

simplify268.0ms (2.9%)

Memory

4.2MiB live, 244.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 398×	`lower-fma.f64`
12 398×	`lower-fma.f32`
5 750×	`lower-*.f64`
5 750×	`lower-*.f32`
3 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	781	7548
1	2456	7035
0	8262	6758

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 567

Calls

Call 1

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

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

rewrite299.0ms (3.3%)

Memory

-33.1MiB live, 155.9MiB allocated

Rules

5 256×	`lower-/.f32`
5 240×	`lower-/.f64`
3 894×	`lower-*.f32`
3 866×	`lower-*.f64`
2 870×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	268
0	75	270
1	317	270
2	2967	222
0	8498	222

Stop Event

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

Counts

26 → 1 576

Calls

Call 1

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

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

eval894.0ms (9.8%)

Memory: 14.6MiB live, 632.6MiB allocated
Compiler: Compiled 73 798 to 7 479 computations (89.9% saved)

prune125.0ms (1.4%)

Memory

-11.7MiB live, 222.8MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	2 970	8	2 978
Fresh	14	4	18
Picked	4	1	5
Done	0	1	1
Total	2 988	14	3 002

Accuracy

100.0%

Counts

3 002 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) b) a)
▶	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (.f64 a b))
	91.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b))))
	94.1%	(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) b) a) (PI.f64))
▶	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (PI.f64))
	60.4%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)))
▶	54.3%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
✓	64.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
	57.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
	64.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (*.f64 a b) (PI.f64)) #s(literal 2 binary64)) a)))
	64.2%	#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)))
✓	57.3%	#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)))
▶	64.7%	#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)))
▶	64.2%	#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 274 to 238 computations (13.1% saved)

simplify91.0ms (1%)

Memory

31.9MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 082×	`lower-*.f32`
4 064×	`lower-*.f64`
3 082×	`lower-/.f32`
3 068×	`lower-/.f64`
2 140×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	241
0	66	240
1	145	235
2	447	235
3	1885	233
4	5188	229
0	8340	229

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.2%)

Memory

9.0MiB live, 242.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
accuracy	0.15462875976844204	(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (*.f64 a b))
accuracy	0.18587875976844204	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (PI.f64))
accuracy	0	(PI.f64)
accuracy	0.18359375	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a))
accuracy	0.883369872330803	(/.f64 (PI.f64) (*.f64 a b))
accuracy	22.44992999906984	#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	(PI.f64)
accuracy	0.3345068706784944	(/.f64 (PI.f64) (.f64 (.f64 b b) a))
accuracy	7.038378248166901	(.f64 (.f64 b b) a)
accuracy	25.22233577659287	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
accuracy	0.12890625	(.f64 (.f64 a b) a)
accuracy	0.18816376953688402	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	1.0193584591587792	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	22.44992999906984	#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	(PI.f64)
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
accuracy	0.1640625	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (.f64 a b))
accuracy	0.27734375	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))

Samples

82.0ms

256×

valid

Compiler

Compiled 213 to 44 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 30.0ms (48.3% of total)

ival-div: 21.0ms (33.8% of total)

ival-add: 3.0ms (4.8% of total)

ival-sub: 3.0ms (4.8% of total)

ival-neg: 3.0ms (4.8% of total)

ival-pi: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (1%)

Memory

-32.4MiB live, 67.3MiB allocated

Counts

19 → 432

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	b	@	0	((* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (* (/ (/ 1/2 (+ a b)) (* a b)) (PI)) (* a b) (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (* a b) a) (* (* b b) a) (/ (/ 1/2 (+ a b)) (* a b)))
4.0ms	a	@	-inf	((* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (* (/ (/ 1/2 (+ a b)) (* a b)) (PI)) (* a b) (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (* a b) a) (* (* b b) a) (/ (/ 1/2 (+ a b)) (* a b)))
3.0ms	b	@	-inf	((* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (* (/ (/ 1/2 (+ a b)) (* a b)) (PI)) (* a b) (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (* a b) a) (* (* b b) a) (/ (/ 1/2 (+ a b)) (* a b)))
3.0ms	a	@	inf	((* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (* (/ (/ 1/2 (+ a b)) (* a b)) (PI)) (* a b) (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (* a b) a) (* (* b b) a) (/ (/ 1/2 (+ a b)) (* a b)))
3.0ms	b	@	inf	((* (/ 1/2 (+ a b)) (PI)) (/ 1/2 (+ a b)) (+ a b) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (/ 1/2 (* (* a b) a)) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (* (/ (PI) (* (* b b) a)) 1/2) (/ (PI) (* (* b b) a)) (* (/ (PI) (* a b)) (/ 1/2 a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a b)) (* (/ (/ 1/2 (+ a b)) (* a b)) (PI)) (* a b) (/ (* (/ 1/2 (+ a b)) (PI)) (* a b)) (* (* a b) a) (* (* b b) a) (/ (/ 1/2 (+ a b)) (* a b)))

simplify190.0ms (2.1%)

Memory

11.0MiB live, 242.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 396×	`lower-fma.f64`
8 396×	`lower-fma.f32`
4 064×	`lower-*.f64`
4 064×	`lower-*.f32`
4 044×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	5382
1	1311	5294
2	3529	5072
3	7589	5068
0	8100	4870

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

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

rewrite172.0ms (1.9%)

Memory

2.5MiB live, 281.8MiB allocated

Rules

6 374×	`lower-/.f32`
6 360×	`lower-/.f64`
3 668×	`lower-*.f32`
3 650×	`lower-*.f64`
3 440×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	199
0	66	194
1	290	193
2	2581	193
0	8914	193

Stop Event

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

Counts

19 → 882

Calls

Call 1

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

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

eval285.0ms (3.1%)

Memory: 22.8MiB live, 484.1MiB allocated
Compiler: Compiled 23 886 to 3 021 computations (87.4% saved)

prune93.0ms (1%)

Memory

-57.5MiB live, 212.0MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 641	9	1 650
Fresh	6	1	7
Picked	2	3	5
Done	0	2	2
Total	1 649	15	1 664

Accuracy

100.0%

Counts

1 664 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (.f64 a b))
	91.6%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
	60.5%	(/.f64 (.f64 #s(approx (/ 1/2 (+ a b)) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (.f64 a b))
	64.8%	(/.f64 #s(approx (* (/ 1/2 (+ a b)) (PI)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 a b))
	91.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
	60.4%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) b) a)) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)))
	60.2%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (/.f64 #s(literal 1/2 binary64) (.f64 b (/.f64 (.f64 b a) (PI.f64)))))
	60.2%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
	54.4%	#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
✓	64.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
	64.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
	64.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b a) (PI.f64)) a)))
✓	57.3%	#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)))
✓	64.7%	#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)))
✓	64.2%	#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 1 073 to 367 computations (65.8% saved)

regimes49.0ms (0.5%)

Memory

33.9MiB live, 72.6MiB allocated

Counts

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

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

Calls

3 calls:

17.0ms	b
16.0ms	a
14.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

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 23 to 19 computations (17.4% saved)

regimes20.0ms (0.2%)

Memory

-6.2MiB live, 32.6MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	b
6.0ms	a
5.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes19.0ms (0.2%)

Memory

-7.0MiB live, 31.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

7.0ms	b
6.0ms	a
5.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.5%	2	`a`
96.0%	2	`b`
91.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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 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 (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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b))))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b 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(literal 1/2 binary64) (.f64 (/.f64 (.f64 b a) (PI.f64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))

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)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

-33.0MiB live, 8.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB 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 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 (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 (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64)))
#s(approx (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b 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)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.7%	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)))`
90.1%	2	`b`
91.2%	2	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

3.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
84.3%	2	`b`
85.4%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory

-33.2MiB live, 5.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
85.4%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

4 → 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 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 (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	a
2.0ms	b
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
64.2%	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)))`
64.2%	1	`b`
64.2%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB 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 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 (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:

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
64.2%	1	`b`
64.2%	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)))`
64.2%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
57.3%	1	`b`
57.3%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
57.3%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch13.0ms (0.1%)

Memory

-21.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2.363559835327238e+96	-1.1611579916541794e+96

Samples

8.0ms

80×

valid

Compiler

Compiled 129 to 120 computations (7% saved)

Precisions

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

ival-mult: 3.0ms (50.5% of total)

ival-div: 2.0ms (33.7% of total)

ival-sub: 1.0ms (16.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-4.833600348723983e+93	-8.210348952604148e+92

Samples

8.0ms

96×

valid

Compiler

Compiled 150 to 140 computations (6.7% saved)

Precisions

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

ival-div: 3.0ms (49.8% of total)

ival-mult: 2.0ms (33.2% of total)

ival-sub: 1.0ms (16.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	-2.363559835327238e+96	-1.1611579916541794e+96

Compiler

Compiled 66 to 60 computations (9.1% saved)

bsearch10.0ms (0.1%)

Memory

-24.4MiB live, 14.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-3.9019012470824915e+96	-2.363559835327238e+96

Samples

6.0ms

64×

valid

Compiler

Compiled 108 to 100 computations (7.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (48.2% of total)

ival-sub: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Memory

-8.6MiB live, 31.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-4.173066059336399e-28	-1.7952581907401328e-36

Samples

12.0ms

144×

valid

Compiler

Compiled 204 to 200 computations (2% saved)

Precisions

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

ival-div: 4.0ms (44% of total)

ival-mult: 3.0ms (33% of total)

ival-pi: 1.0ms (11% of total)

ival-sub: 1.0ms (11% 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

3.4MiB live, 3.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.173066059336399e-28	-1.7952581907401328e-36

Compiler

Compiled 204 to 200 computations (2% saved)

bsearch1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.173066059336399e-28	-1.7952581907401328e-36

Compiler

Compiled 204 to 200 computations (2% saved)

simplify24.0ms (0.3%)

Memory

13.6MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	497
1	116	497

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (.f64 a b))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (PI.f64))
(if (<=.f64 a #s(literal -1949999999999999972730570897259968063746500465263762671735153702196642923018852014691498091085824 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -3100000000000000192365665239977574538985401811694965793189491079762244139686803447874668462080 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 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 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))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120 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))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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 (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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 (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a)))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64)) (.f64 a b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 b a))) (.f64 b a))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (PI.f64))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)) (PI.f64))
(if (<=.f64 a #s(literal -1949999999999999972730570897259968063746500465263762671735153702196642923018852014691498091085824 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -1949999999999999972730570897259968063746500465263762671735153702196642923018852014691498091085824 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 b a) a) b)))
(if (<=.f64 a #s(literal -3100000000000000192365665239977574538985401811694965793189491079762244139686803447874668462080 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 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -3100000000000000192365665239977574538985401811694965793189491079762244139686803447874668462080 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 b a)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 b a) a) b)))
(if (<=.f64 a #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 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))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (.f64 a (+.f64 a b)))))
(if (<=.f64 a #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 b a) a) b)))
(if (<=.f64 a #s(literal -3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120 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))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -3299999999999999844401489783967529849044826649926597467476293067456530260735380925690493922181120 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 b a) a) b)) (PI.f64)))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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 (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b a) b)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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 (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a)))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) a)) #s(literal 1/2 binary64))) #s(approx (/ (neg ( 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a)) (PI.f64))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 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))))
(if (<=.f64 a #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 b 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 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 (/.f64 (PI.f64) (.f64 (*.f64 b a) 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 b a) a)) (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 a) b))))
#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)))

soundness1.4s (15.7%)

Memory

-15.5MiB live, 1 182.1MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
11 546×	`lower-fma.f64`
11 546×	`lower-fma.f32`
6 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	268
0	75	270
1	317	270
2	2967	222
0	8498	222
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	1096	10063
1	3403	9032
0	8844	8641
0	54	311
0	90	311
1	347	287
2	3271	287
0	8300	287
0	47	199
0	66	194
1	290	193
2	2581	193
0	8914	193
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

Stop Event

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

Compiler

Compiled 693 to 410 computations (40.8% saved)

preprocess105.0ms (1.2%)

Memory: 30.2MiB live, 187.1MiB allocated
Remove: (sort a b)
Compiler: Compiled 622 to 268 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze89.0ms (1%)

sample1.2s (13.5%)

explain215.0ms (2.4%)

preprocess174.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (1.4%)

localize53.0ms (0.6%)

series16.0ms (0.2%)

simplify168.0ms (1.8%)

rewrite224.0ms (2.5%)

eval114.0ms (1.2%)

prune60.0ms (0.7%)

simplify153.0ms (1.7%)

localize171.0ms (1.9%)

series79.0ms (0.9%)

simplify593.0ms (6.5%)

rewrite261.0ms (2.9%)

eval507.0ms (5.6%)

prune144.0ms (1.6%)

simplify156.0ms (1.7%)

localize134.0ms (1.5%)

series62.0ms (0.7%)

simplify268.0ms (2.9%)

rewrite299.0ms (3.3%)

eval894.0ms (9.8%)

prune125.0ms (1.4%)

simplify91.0ms (1%)

localize107.0ms (1.2%)

series90.0ms (1%)

simplify190.0ms (2.1%)

rewrite172.0ms (1.9%)

eval285.0ms (3.1%)

prune93.0ms (1%)

regimes49.0ms (0.5%)

regimes20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch13.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify24.0ms (0.3%)

soundness1.4s (15.7%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling