Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze90.0ms (0.9%)

Memory

-20.2MiB live, 177.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.3s (13%)

Memory

56.5MiB live, 2 384.8MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 792.0ms

ival-mult: 305.0ms (38.5% of total)

ival-div: 294.0ms (37.1% of total)

ival-sub: 123.0ms (15.5% of total)

ival-pi: 51.0ms (6.4% of total)

exact: 8.0ms (1% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain284.0ms (2.7%)

Memory

-30.2MiB live, 374.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
35	0	-	6	(-9.538231495830633e+160 -3.7370527550531266e-149)	`(.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	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
6	1	(2.2797339751979948e-35 -1.9246066318023744e+161)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	29	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	16	0
↳	`(*.f64 b b)`	overflow	75
↳	`(*.f64 a a)`	overflow	73
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	7	0
↳	`(*.f64 b b)`	overflow	75
↳	`(*.f64 a a)`	overflow	73
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	132

Confusion

	Predicted +	Predicted -
+	51	5
-	1	199

Precision

0.9807692307692307

Recall

0.9107142857142857

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	5
-	1	0	199

Precision?

0.9807692307692307

Recall?

0.9107142857142857

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 53.0ms (55.3% of total)

ival-pi: 23.0ms (24% of total)

ival-div: 14.0ms (14.6% of total)

ival-sub: 5.0ms (5.2% of total)

exact: 1.0ms (1% of total)

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

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

preprocess172.0ms (1.7%)

Memory

27.7MiB live, 179.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify117.0ms (1.1%)

Memory

5.8MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.4%)

Memory

-3.3MiB live, 73.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.6945519311735934	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.749977294132264	(-.f64 (.f64 b b) (.f64 a a))
accuracy	7.245741757509207	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

27.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (43.4% of total)

ival-div: 7.0ms (38% of total)

ival-sub: 2.0ms (10.9% 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

-8.6MiB live, 29.8MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b) (taylor 0 b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (PI) (pow a 2))) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4)))) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6)))))) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8)))))))) (taylor 0 b) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (pow a 2)) (taylor 0 b) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a (pow b 2)))) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2)) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2)) (taylor inf b) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) (taylor inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) (taylor inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) (patch (.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (PI) (pow a 2))) (taylor -inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (patch (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 2)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 a a)) (patch (-.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify244.0ms (2.4%)

Memory

-52.5MiB live, 230.4MiB 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))

rewrite156.0ms (1.5%)

Memory

5.0MiB live, 198.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

Outputs
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eval132.0ms (1.3%)

Memory: 42.1MiB live, 153.8MiB allocated
Compiler: Compiled 19 185 to 2 101 computations (89% saved)

prune112.0ms (1.1%)

Memory

-21.7MiB live, 216.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

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

Accuracy

100.0%

Counts

680 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(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)))
	88.9%	(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)))))
	41.8%	(/.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)))
▶	87.5%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	81.3%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	76.0%	(/.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))
	41.2%	(/.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)))))))
	82.4%	(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (+.f64 a b) (-.f64 b a)))))
	85.9%	(.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))))
	86.0%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
▶	88.7%	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	86.0%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	87.5%	(.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 a b))))
	81.3%	(.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)))))
	48.7%	(.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)))
	54.2%	(.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)))
▶	54.2%	#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)))
	47.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	55.2%	#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)))
▶	62.0%	#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)))

Compiler

Compiled 812 to 552 computations (32% saved)

simplify124.0ms (1.2%)

Memory

-7.3MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
cost-diff	0	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a))
cost-diff	1408	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.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	(+.f64 a b)
cost-diff	0	(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff	0	(PI.f64)
cost-diff	1408	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a 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	768	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff	2432	(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

4 574×	`lower-*.f32`
4 550×	`lower-*.f64`
2 972×	`lower-fma.f32`
2 970×	`lower-fma.f64`
2 970×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	366
0	90	378
1	181	366
2	491	341
3	1935	301
4	5224	301
0	8245	301

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

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

localize170.0ms (1.6%)

Memory

21.1MiB live, 256.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
accuracy	0.08984375	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a))
accuracy	0.29296875	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	7.245741757509207	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.162441259768442	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.7901312405134187	(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	33.58029569929392	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.36556625976844204	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	3.543188637442782	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
accuracy	25.825650364525515	#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)))
accuracy	0	(PI.f64)
accuracy	0.27680173159501925	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	6.405789394694856	(.f64 b (.f64 a a))
accuracy	20.77909419439807	#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	0.29296875	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.29296875	(/.f64 (PI.f64) (+.f64 a b))
accuracy	2.1796826834357663	(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	3.2587708437458764	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))

Samples

133.0ms

256×

valid

Compiler

Compiled 345 to 51 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 54.0ms (55.8% of total)

ival-div: 26.0ms (26.9% of total)

ival-sub: 5.0ms (5.2% of total)

ival-pow: 5.0ms (5.2% of total)

ival-add: 4.0ms (4.1% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series108.0ms (1%)

Memory

-15.9MiB live, 132.2MiB allocated

Counts

24 → 552

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (- (/ 1 a) (/ 1 b)) (* (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b)) (/ (PI) (- b a)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
11.0ms	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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (- (/ 1 a) (/ 1 b)) (* (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b)) (/ (PI) (- b a)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (- (/ 1 a) (/ 1 b)) (* (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b)) (/ (PI) (- b a)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
8.0ms	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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (- (/ 1 a) (/ 1 b)) (* (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b)) (/ (PI) (- b a)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))
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))) (neg b)) (/ (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) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* (+ a b) (- b a)) (+ a b) (- (/ 1 a) (/ 1 b)) (* (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (/ (* 1/2 (PI)) (+ a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b)) (/ (PI) (- b a)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ (PI) (* (+ a b) (- b a))) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* 2 (* a b)))

simplify211.0ms (2%)

Memory

50.6MiB live, 318.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 514×	`lower-fma.f64`
8 514×	`lower-fma.f32`
5 894×	`lower-*.f64`
5 894×	`lower-*.f32`
5 072×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1259	10303
1	3905	9286
0	9063	8836

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 546

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

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)
(/ (+ (* 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)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 5 binary64)))) b (/.f64 (.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) b)) 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)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) a) (.f64 (fma.f64 (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a)) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))))) #s(literal 1/2 binary64) (.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 7 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/2 binary64))) b (.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) b (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64))))) b)) 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))) (* 1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4)))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b) (pow.f64 a #s(literal 4 binary64))))) 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)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) b (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 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) (+ 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)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))) (.f64 a a)) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))))) b (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64)))))) b (/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (pow.f64 a #s(literal 4 binary64)))) b (.f64 (/.f64 (PI.f64) (*.f64 a a)) #s(literal 1/2 binary64))) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (PI.f64) a) (/.f64 (PI.f64) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (fma.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) b (/.f64 (PI.f64) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.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 b (/.f64 (PI.f64) (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)
(/ (+ (* 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 b (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/2 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))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.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 b (/.f64 (PI.f64) (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)
(/ (+ (* 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 b (/.f64 (PI.f64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/2 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) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) b)
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) a)) #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(/ (+ 1/2 (* -1/2 (/ b a))) b)
(/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) b)
(/ (PI) a)
(/.f64 (PI.f64) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (PI.f64) a) (/.f64 (PI.f64) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (fma.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) b (/.f64 (PI.f64) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 (PI.f64) (*.f64 (neg.f64 a) a))) b (/.f64 (PI.f64) a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(+ (* -1 (pow a 2)) (* b (+ a (* -1 a))))
(*.f64 (neg.f64 a) a)
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(fma.f64 (+.f64 (-.f64 b a) a) b (*.f64 (neg.f64 a) a))
(+ (* -1 (pow a 2)) (* b (+ a (+ b (* -1 a)))))
(fma.f64 (+.f64 (-.f64 b a) a) b (*.f64 (neg.f64 a) a))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/ (- (/ b a) 1) b)
(/.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* b (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 3 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64))))) b (/.f64 (PI.f64) (*.f64 a a)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (* -1 (/ (PI) (pow a 4))) (* -1 (/ (* (+ a (* -1 a)) (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))) (pow a 2)))))) (* 1/2 (- (* -1 (/ (PI) (pow a 3))) (* -1 (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))))) b)
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(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b)) a) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b) #s(literal 1/2 binary64))) (neg.f64 a))) (.f64 a a))
(/ (+ (* -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))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) b (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b)) (.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b)) a) #s(literal -1/2 binary64) (.f64 (fma.f64 (PI.f64) b (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) b)) #s(literal 1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 b (/.f64 (PI.f64) a) (neg.f64 (PI.f64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 b b) (/.f64 (PI.f64) a) (.f64 (neg.f64 b) (PI.f64))) (neg.f64 a)) (PI.f64)) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal -1 binary64) (.f64 (.f64 b b) (PI.f64))) a) (.f64 (PI.f64) b)) (neg.f64 a)) (PI.f64)) (neg.f64 a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 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 (.f64 (.f64 b b) (PI.f64)) a) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (PI.f64))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(/ (PI) (* (pow a 2) b))
(/.f64 (PI.f64) (.f64 b (.f64 a a)))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 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 (.f64 (.f64 b b) (PI.f64)) a) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (PI.f64))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* 1/2 (/ (PI) b))
(*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b)))
(fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64)))
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a)))
(-.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))
(/ (PI) a)
(/.f64 (PI.f64) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(/.f64 (fma.f64 b (/.f64 (PI.f64) a) (neg.f64 (PI.f64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (.f64 b b) (/.f64 (PI.f64) a) (.f64 (neg.f64 b) (PI.f64))) (neg.f64 a)) (PI.f64)) (neg.f64 a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal -1 binary64) (.f64 (.f64 b b) (PI.f64))) a) (.f64 (PI.f64) b)) (neg.f64 a)) (PI.f64)) (neg.f64 a))
(* -1 (pow a 2))
(*.f64 (neg.f64 a) a)
(* (pow a 2) (- (* -1 (/ (+ b (* -1 b)) a)) 1))
(.f64 (-.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (.f64 a a))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 (neg.f64 b) b) a) a) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 a a))
(* (pow a 2) (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 (neg.f64 b) b) a) a) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 a a))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 a))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(- (/ 1 a) (/ 1 b))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) a) #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) 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) (+.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (.f64 (neg.f64 b) (PI.f64))) a))) (neg.f64 a))) (*.f64 a a))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b) b) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (.f64 (neg.f64 b) (PI.f64))))) a) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) b) (PI.f64)) (.f64 (neg.f64 b) (PI.f64))) #s(literal -1/2 binary64))) a)) (neg.f64 a))) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (/.f64 (PI.f64) (.f64 a a)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) (PI.f64)) a) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 a a))
(/ (+ (* -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))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (.f64 b b) (PI.f64))) a) #s(literal 1/2 binary64) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 0 binary64))) (neg.f64 a))) (*.f64 a a))
(/ (+ (* -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))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (.f64 b b) (PI.f64))) (.f64 (.f64 (.f64 b b) (PI.f64)) #s(literal 0 binary64))) a) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (.f64 b b) (PI.f64))) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))) (.f64 a a))
(* 1/2 (/ (PI) a))
(*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (fma.f64 (.f64 b (/.f64 (PI.f64) a)) #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (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))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) (PI.f64) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (PI.f64)) a) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 b b) #s(literal -1/2 binary64)) (PI.f64))) (neg.f64 a))) (neg.f64 a))) (neg.f64 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))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a 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 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a 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 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a))
(* -1 (/ (PI) (pow a 2)))
(/.f64 (PI.f64) (*.f64 (neg.f64 a) a))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (PI.f64))) (*.f64 a a))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal 0 binary64) a) (fma.f64 (.f64 b b) (/.f64 (PI.f64) a) (.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 a)) (PI.f64)) (*.f64 a a))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (.f64 b b) (PI.f64))) a) (/.f64 (.f64 (.f64 (.f64 b b) (PI.f64)) #s(literal 0 binary64)) a)) (fma.f64 #s(literal 0 binary64) (PI.f64) (.f64 (.f64 b b) (PI.f64)))) (neg.f64 a)) (.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 a)) (PI.f64)) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal -1/2 binary64))) (.f64 a a))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 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 (.f64 (.f64 b b) (PI.f64)) a) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (PI.f64))) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))
(* 2 (* a b))
(.f64 (.f64 b a) #s(literal 2 binary64))

rewrite543.0ms (5.2%)

Memory

-182.7MiB live, 362.3MiB allocated

Rules

4 348×	`lower-/.f32`
4 318×	`lower-/.f64`
4 220×	`lower-*.f32`
4 196×	`lower-*.f64`
2 330×	`lower-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	279
0	90	295
1	388	262
2	3847	262
0	8220	262

Stop Event

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

Counts

24 → 1 428

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

Outputs
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eval397.0ms (3.8%)

Memory: 52.0MiB live, 641.4MiB allocated
Compiler: Compiled 60 548 to 5 802 computations (90.4% saved)

prune281.0ms (2.7%)

Memory

10.8MiB live, 551.6MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 282	16	2 298
Fresh	13	2	15
Picked	3	2	5
Done	0	0	0
Total	2 298	20	2 318

Accuracy

100.0%

Counts

2 318 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.5%	(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)))
	89.7%	(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 a b))) (-.f64 b a)) b))
	85.9%	(/.f64 (.f64 (/.f64 (PI.f64) (fma.f64 (-.f64 b a) b (.f64 (-.f64 b a) a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	98.8%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 a b) #s(literal 2 binary64))))
▶	99.6%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) (-.f64 b a))
	51.0%	(/.f64 (.f64 (/.f64 (PI.f64) #s(approx ( (+ a b) (- b a)) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 a b)))
	81.3%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	76.0%	(/.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))
	62.0%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	55.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	67.4%	#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))
	62.1%	#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))
✓	54.2%	#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)))
	47.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
▶	67.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
	67.2%	#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)))
✓	62.0%	#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)))
▶	62.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
	67.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))
▶	62.0%	#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))))

Compiler

Compiled 566 to 417 computations (26.3% saved)

simplify98.0ms (0.9%)

Memory

-4.4MiB live, 149.7MiB 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	768	(/.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))
cost-diff	0	(/.f64 (/.f64 (PI.f64) b) a)
cost-diff	0	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) a)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
cost-diff	384	(*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) b)
cost-diff	0	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
cost-diff	0	(.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	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (+.f64 a b))
cost-diff	0	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
cost-diff	1792	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) (-.f64 b a))

Rules

4 696×	`lower-*.f32`
4 672×	`lower-*.f64`
2 616×	`lower-fma.f32`
2 614×	`lower-fma.f64`
2 528×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	318
0	74	316
1	149	310
2	459	294
3	2136	270
4	5273	270
0	8188	270

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.3%)

Memory

-5.2MiB live, 260.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.253892488027801	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	2.895064666320186	(.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b)
accuracy	4.092873790154799	(.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) a)
accuracy	10.232085279440565	(/.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	0.10546875	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) a)
accuracy	0.20703125	(/.f64 (/.f64 (PI.f64) b) a)
accuracy	0.31640625	(/.f64 (PI.f64) b)
accuracy	20.77909419439807	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
accuracy	0.30106211947550254	(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
accuracy	0.31640625	(/.f64 (PI.f64) b)
accuracy	6.361212608621084	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
accuracy	20.77909419439807	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
accuracy	0.15234375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.24300682483953315	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	6.405789394694856	(.f64 (.f64 a a) b)
accuracy	20.77909419439807	#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	0.2265625	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))))
accuracy	0.29296875	(/.f64 (PI.f64) (+.f64 a b))
accuracy	0.7817705410585744	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
accuracy	17.406972263590276	(.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))

Samples

90.0ms

256×

valid

Compiler

Compiled 294 to 44 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 31.0ms (45.8% of total)

ival-div: 20.0ms (29.5% of total)

ival-sub: 10.0ms (14.8% of total)

ival-add: 3.0ms (4.4% of total)

ival-neg: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

9.9MiB live, 127.5MiB allocated

Counts

25 → 552

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	((/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (/ 1/2 (* a b))) (/ 1/2 (* a b)) (/ 1/2 (* (* a a) b)) (/ 1/2 (* a a)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)))
6.0ms	b	@	-inf	((/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (/ 1/2 (* a b))) (/ 1/2 (* a b)) (/ 1/2 (* (* a a) b)) (/ 1/2 (* a a)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)))
5.0ms	a	@	inf	((/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (/ 1/2 (* a b))) (/ 1/2 (* a b)) (/ 1/2 (* (* a a) b)) (/ 1/2 (* a a)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)))
4.0ms	b	@	0	((/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (/ 1/2 (* a b))) (/ 1/2 (* a b)) (/ 1/2 (* (* a a) b)) (/ 1/2 (* a a)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)))
4.0ms	b	@	inf	((/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (* (* a a) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) b) (/ 1/2 (* a a))) (/ (PI) b) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (/ (neg (* 1/2 (* (PI) (- b a)))) (* (* (+ (* (neg b) b) (* a a)) a) b)) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (* (- b a) (/ 1/2 (* a b))) (/ 1/2 (* a b)) (/ 1/2 (* (* a a) b)) (/ 1/2 (* a a)) (* (+ (* (neg b) b) (* a a)) a) (* (* (+ (* (neg b) b) (* a a)) a) b) (+ (* (neg b) b) (* a a)))

simplify195.0ms (1.9%)

Memory

30.0MiB live, 298.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 776×	`lower-fma.f64`
16 776×	`lower-fma.f32`
5 568×	`lower-*.f64`
5 568×	`lower-*.f32`
3 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	6580
1	1410	6307
2	4143	5990
0	8559	5834

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

rewrite239.0ms (2.3%)

Memory

-43.4MiB live, 256.6MiB allocated

Rules

4 902×	`lower-/.f32`
4 884×	`lower-/.f64`
3 778×	`lower-*.f32`
3 754×	`lower-*.f64`
3 510×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	273
0	74	265
1	300	265
2	2693	265
0	8282	265

Stop Event

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

Counts

25 → 1 088

Calls

Call 1

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

Outputs
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eval612.0ms (5.9%)

Memory: 31.8MiB live, 375.5MiB allocated
Compiler: Compiled 33 547 to 4 210 computations (87.5% saved)

prune401.0ms (3.9%)

Memory

-14.9MiB live, 273.8MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 827	10	1 837
Fresh	4	9	13
Picked	3	2	5
Done	0	2	2
Total	1 834	23	1 857

Accuracy

100.0%

Counts

1 857 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.7%	(fma.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a) (+.f64 a b)) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (+.f64 a b))) (-.f64 b a)) b))
▶	98.8%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 a b) #s(literal 2 binary64))))
	72.9%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx ( (- b a) (/ 1/2 (* a b))) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 b a))
	72.2%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx ( (- b a) (/ 1/2 (* a b))) (/.f64 #s(literal -1/2 binary64) b))) (-.f64 b a))
	51.0%	(/.f64 (.f64 (/.f64 (PI.f64) #s(approx ( (+ a b) (- b a)) (.f64 b b))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (*.f64 a b)))
▶	81.3%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
	76.0%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
	87.5%	(/.f64 (.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (-.f64 b a)) (.f64 (-.f64 b a) (+.f64 b a)))
▶	50.1%	(/.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))
	50.7%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 #s(approx ( (+ (* (neg b) b) (* a a)) a) (.f64 (.f64 (neg.f64 b) a) b)) b))
	62.0%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	47.9%	#s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (/.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b b)))
	62.0%	#s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
	55.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	67.4%	#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))
▶	62.1%	#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))
✓	54.2%	#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)))
✓	67.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
	67.2%	#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)))
✓	62.0%	#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)))
✓	62.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
	67.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
▶	67.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 594 to 455 computations (23.4% saved)

simplify223.0ms (2.2%)

Memory

20.0MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	256	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
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) #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 a)) b))
cost-diff	768	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (+.f64 a b))
cost-diff	0	(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
cost-diff	640	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 a b) #s(literal 2 binary64))))

Rules

4 996×	`lower-*.f32`
4 964×	`lower-*.f64`
4 894×	`lower-fma.f64`
4 894×	`lower-fma.f32`
3 392×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	333
0	77	331
1	173	323
2	657	307
3	3767	291
4	7184	291
0	8200	291

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.2%)

Memory

-5.7MiB live, 194.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.26953125	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	1.7213505589618292	(.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	10.232085279440565	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
accuracy	2.895064666320186	(.f64 (.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b)
accuracy	4.092873790154799	(.f64 #s(approx (+ ( (neg b) b) (* a a)) (*.f64 a a)) a)
accuracy	10.232085279440565	(/.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))
accuracy	26.61451085246091	#s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a))
accuracy	0	(PI.f64)
accuracy	0.3526632224341484	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a))
accuracy	6.319845730305325	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
accuracy	20.77909419439807	#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))
accuracy	0.1171875	(.f64 (.f64 b a) a)
accuracy	0.15234375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
accuracy	0.24300682483953315	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
accuracy	20.77909419439807	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
accuracy	0.09375	(.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))
accuracy	0.29296875	(/.f64 (PI.f64) (+.f64 a b))
accuracy	0.34765625	(*.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a))
accuracy	0.7247611074433831	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 (.f64 a b) #s(literal 2 binary64))))

Samples

82.0ms

256×

valid

Compiler

Compiled 299 to 46 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 31.0ms (52.5% of total)

ival-div: 19.0ms (32.1% of total)

ival-sub: 3.0ms (5.1% of total)

ival-add: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% 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)

series84.0ms (0.8%)

Memory

-41.3MiB live, 85.9MiB allocated

Counts

24 → 516

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	b	@	-inf	((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (* (- b a) (* (* a b) 2)) (* (* b a) a) (/ (* (PI) 1/2) (* a 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) (* (* a b) (* (+ a b) (- b a))))
3.0ms	a	@	inf	((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (* (- b a) (* (* a b) 2)) (* (* b a) a) (/ (* (PI) 1/2) (* a 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) (* (* a b) (* (+ a b) (- b a))))
3.0ms	a	@	-inf	((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (* (- b a) (* (* a b) 2)) (* (* b a) a) (/ (* (PI) 1/2) (* a 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) (* (* a b) (* (+ a b) (- b a))))
3.0ms	b	@	inf	((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (* (- b a) (* (* a b) 2)) (* (* b a) a) (/ (* (PI) 1/2) (* a 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) (* (* a b) (* (+ a b) (- b a))))
3.0ms	a	@	0	((/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (* (/ (PI) (+ a b)) (- b a)) (/ (PI) (+ a b)) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* b a) a))) (/ 1/2 (* (* b a) a)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) 1/2) (neg (* 1/2 (* (PI) (- b a)))) (* 1/2 (* (PI) (- b a))) (* (PI) (- b a)) (/ (* (- b a) (* (PI) 1/2)) (* (* a b) (* (+ a b) (- b a)))) (* (- b a) (* (PI) 1/2)) (- b a) (* (- b a) (* (* a b) 2)) (* (* b a) a) (/ (* (PI) 1/2) (* a 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) (* (* a b) (* (+ a b) (- b a))))

simplify196.0ms (1.9%)

Memory

15.5MiB live, 247.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 848×	`lower-fma.f64`
11 848×	`lower-fma.f32`
5 250×	`lower-*.f64`
5 250×	`lower-*.f32`
2 826×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	6638
1	1662	6244
2	5120	6180
0	8466	5976

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

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

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

rewrite442.0ms (4.3%)

Memory

1.5MiB live, 351.5MiB allocated

Rules

5 296×	`lower-/.f32`
5 282×	`lower-/.f64`
3 936×	`lower-*.f32`
3 904×	`lower-*.f64`
3 026×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	272
0	77	266
1	325	238
2	2871	238
0	8482	238

Stop Event

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

Counts

24 → 1 287

Calls

Call 1

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

Outputs
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eval545.0ms (5.3%)

Memory: -13.4MiB live, 495.8MiB allocated
Compiler: Compiled 52 017 to 4 840 computations (90.7% saved)

prune345.0ms (3.3%)

Memory

-7.4MiB live, 399.3MiB allocated

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	2 304	8	2 312
Fresh	8	6	14
Picked	3	2	5
Done	2	2	4
Total	2 317	18	2 335

Accuracy

100.0%

Counts

2 335 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) #s(approx ( (- b a) (/ 1/2 (* a b))) (/.f64 #s(literal 1/2 binary64) a))) (-.f64 b a))
	83.1%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (-.f64 b a) (.f64 b (*.f64 a (+.f64 b a)))))
	50.1%	(/.f64 (.f64 (-.f64 b a) (.f64 #s(literal -1/2 binary64) (PI.f64))) (.f64 (.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b))
	69.2%	(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64))))
	62.0%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	55.2%	(/.f64 #s(approx (neg (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 a (PI.f64)) #s(literal 1/2 binary64))) (.f64 (.f64 #s(approx (+ (* (neg b) b) (* a a)) (*.f64 a a)) a) b))
	98.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
	55.1%	#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a)))
	47.9%	#s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (/.f64 (.f64 (PI.f64) (-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 b b)))
	55.2%	#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	67.4%	#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))
✓	62.1%	#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))
	67.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 b a) a)))
	62.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)))
✓	62.0%	#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)))
✓	62.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
	67.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	67.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 1 131 to 416 computations (63.2% saved)

regimes83.0ms (0.8%)

Memory

6.9MiB live, 45.0MiB allocated

Counts

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

Calls

3 calls:

53.0ms	a
15.0ms	b
13.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes51.0ms (0.5%)

Memory

12.3MiB live, 52.6MiB allocated

Counts

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

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

Calls

3 calls:

28.0ms	a
11.0ms	b
10.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`b`
98.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes29.0ms (0.3%)

Memory

-8.0MiB live, 28.6MiB allocated

Counts

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

Calls

3 calls:

16.0ms	a
6.0ms	b
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
94.9%	2	`a`
91.7%	2	`b`
80.7%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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 b a) 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 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 b a) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a 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 (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ (PI) (+ a b)) (- b a)) (* (- b a) (* (* a b) 2))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (/.f64 (PI.f64) a)))

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))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
94.9%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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 b a) 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 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 b a) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a 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 #s(literal 1/2 binary64) (*.f64 a b)) (/.f64 (PI.f64) a)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes38.0ms (0.4%)

Memory

-31.0MiB live, 7.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
93.2%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB 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 b a) 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 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 b a) a)))
#s(approx (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* 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 (* (* (/ (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

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
83.5%	2	`b`
87.7%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB 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 b a) 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
67.2%	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)))`
67.2%	1	`b`
67.2%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes17.0ms (0.2%)

Memory

-24.7MiB live, 13.8MiB 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 b a) 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 b a) a))))

Calls

3 calls:

12.0ms	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
67.2%	1	`b`
67.2%	1	`a`
67.2%	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)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory

9.5MiB live, 9.5MiB 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	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)))
1.0ms	a

Results

Accuracy	Segments	Branch
62.0%	1	`b`
62.0%	1	`a`
62.0%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch29.0ms (0.3%)

Memory

-16.1MiB live, 30.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-1.028455031637488e-98	-1.4213369107268008e-103

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 (43.3% of total)

ival-mult: 3.0ms (32.5% of total)

ival-pi: 1.0ms (10.8% of total)

ival-sub: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.028455031637488e-98	-1.4213369107268008e-103

Compiler

Compiled 204 to 200 computations (2% saved)

bsearch33.0ms (0.3%)

Memory

-1.9MiB live, 34.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-3.2452007861053757e-184	-1.3398474525188694e-194

Samples

14.0ms

160×

valid

Compiler

Compiled 244 to 230 computations (5.7% saved)

Precisions

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

ival-div: 4.0ms (39.2% of total)

ival-mult: 4.0ms (39.2% of total)

ival-pi: 1.0ms (9.8% of total)

ival-sub: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.2452007861053757e-184	-1.3398474525188694e-194

Compiler

Compiled 244 to 230 computations (5.7% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.2452007861053757e-184	-1.3398474525188694e-194

Compiler

Compiled 244 to 230 computations (5.7% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.028455031637488e-98	-1.4213369107268008e-103

Compiler

Compiled 204 to 200 computations (2% saved)

simplify37.0ms (0.4%)

Memory

9.1MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	481
1	114	481
2	118	481
3	120	481
4	121	481

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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)) #s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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 #s(approx ( (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (-.f64 b a) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))) (-.f64 b a))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) (-.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 b a)))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 b a))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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)) #s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) #s(approx (/ (* (/ (PI) (+ a b)) (* (- b a) (/ 1/2 (* a b)))) (- b a)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b a)) a)) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 b a))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))) (/.f64 #s(approx (* (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 b a))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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 #s(approx ( (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (-.f64 b a) (.f64 (*.f64 a b) #s(literal 2 binary64)))))
(if (<=.f64 a #s(literal -3061802069160839/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 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 #s(approx ( (/ (PI) (+ a b)) (- b a)) (PI.f64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b a)) (-.f64 b a))))
(if (<=.f64 a #s(literal -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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 -2832019195365853/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 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 b a) 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)))

soundness1.7s (16.2%)

Memory

10.9MiB live, 1 255.1MiB allocated

Rules

16 776×	`lower-fma.f64`
16 776×	`lower-fma.f32`
12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
11 848×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	6638
1	1662	6244
2	5120	6180
0	8466	5976
0	471	6580
1	1410	6307
2	4143	5990
0	8559	5834
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	46	273
0	74	265
1	300	265
2	2693	265
0	8282	265
0	49	272
0	77	266
1	325	238
2	2871	238
0	8482	238
0	1259	10303
1	3905	9286
0	9063	8836
0	55	279
0	90	295
1	388	262
2	3847	262
0	8220	262

Stop Event

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

Compiler

Compiled 474 to 290 computations (38.8% saved)

preprocess92.0ms (0.9%)

Memory: -12.4MiB live, 190.6MiB allocated
Remove: (sort a b)
Compiler: Compiled 656 to 274 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze90.0ms (0.9%)

sample1.3s (13%)

explain284.0ms (2.7%)

preprocess172.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1.1%)

localize38.0ms (0.4%)

series16.0ms (0.2%)

simplify244.0ms (2.4%)

rewrite156.0ms (1.5%)

eval132.0ms (1.3%)

prune112.0ms (1.1%)

simplify124.0ms (1.2%)

localize170.0ms (1.6%)

series108.0ms (1%)

simplify211.0ms (2%)

rewrite543.0ms (5.2%)

eval397.0ms (3.8%)

prune281.0ms (2.7%)

simplify98.0ms (0.9%)

localize131.0ms (1.3%)

series56.0ms (0.5%)

simplify195.0ms (1.9%)

rewrite239.0ms (2.3%)

eval612.0ms (5.9%)

prune401.0ms (3.9%)

simplify223.0ms (2.2%)

localize123.0ms (1.2%)

series84.0ms (0.8%)

simplify196.0ms (1.9%)

rewrite442.0ms (4.3%)

eval545.0ms (5.3%)

prune345.0ms (3.3%)

regimes83.0ms (0.8%)

regimes51.0ms (0.5%)

regimes29.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes38.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes17.0ms (0.2%)

regimes4.0ms (0%)

bsearch29.0ms (0.3%)

bsearch1.0ms (0%)

bsearch33.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify37.0ms (0.4%)

soundness1.7s (16.2%)

preprocess92.0ms (0.9%)

end0.0ms (0%)

Profiling