Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze94.0ms (1.1%)

Memory

-12.0MiB live, 267.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.3s (14.8%)

Memory

45.3MiB live, 2 490.3MiB allocated

Samples

969.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 742.0ms

ival-div: 266.0ms (35.8% of total)

ival-mult: 265.0ms (35.7% of total)

ival-sub: 138.0ms (18.6% of total)

ival-pi: 55.0ms (7.4% of total)

exact: 8.0ms (1.1% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

explain212.0ms (2.4%)

Memory

-11.7MiB live, 470.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	1	(-2.5616187199805166e-299 4.130212406373663e+157)	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
16	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
4	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	36	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	16	0
↳	`(*.f64 b b)`	overflow	68
↳	`(*.f64 a a)`	overflow	65
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	4	0
↳	`(*.f64 b b)`	overflow	68
↳	`(*.f64 a a)`	overflow	65
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	117

Confusion

	Predicted +	Predicted -
+	53	6
-	3	194

Precision

0.9464285714285714

Recall

0.8983050847457628

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	6
-	3	0	194

Precision?

0.9464285714285714

Recall?

0.8983050847457628

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 15.0ms (43.8% of total)

ival-mult: 12.0ms (35% of total)

ival-sub: 5.0ms (14.6% of total)

ival-pi: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

preprocess148.0ms (1.7%)

Memory

36.5MiB live, 272.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	115	95
2	418	95
3	2087	95
4	6060	95
0	15	21
0	26	21
1	46	19
2	108	19
3	393	18
4	1569	17
5	4280	17
0	8405	17

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

-37.4MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify134.0ms (1.5%)

Memory

19.4MiB live, 275.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

5.2MiB live, 83.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.5465884522856617	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	3.6445126724718526	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.310458417906883	(.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

26.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.4% of total)

ival-mult: 6.0ms (35.5% of total)

ival-sub: 2.0ms (11.8% of total)

ival-pi: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-12.9MiB live, 26.4MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify159.0ms (1.8%)

Memory

-4.1MiB live, 231.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite190.0ms (2.2%)

Memory

23.1MiB live, 301.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

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

eval90.0ms (1%)

Memory: 6.7MiB live, 198.8MiB allocated
Compiler: Compiled 22 465 to 2 049 computations (90.9% saved)

prune172.0ms (2%)

Memory

-5.1MiB live, 356.6MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

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

Accuracy

99.9%

Counts

680 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.1%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a))
	86.8%	(/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (PI.f64)) (-.f64 b a)))
	86.7%	(/.f64 (.f64 (/.f64 (-.f64 b a) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (+.f64 a b) (-.f64 b a)))
▶	86.7%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	80.8%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	76.9%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
▶	99.7%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
▶	80.5%	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
	81.1%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	86.7%	(.f64 (/.f64 (-.f64 b a) (.f64 a b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
	99.6%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	86.7%	(.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))))
	80.1%	(.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)))))
	86.7%	(.f64 (PI.f64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 a b))))
	46.2%	(.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)))
	52.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (PI.f64) (.f64 (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) b)) #s(literal -1/2 binary64)) a)) a))
▶	46.2%	#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)))
	55.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	61.7%	#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)))
▶	53.9%	#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 864 to 516 computations (40.3% saved)

simplify110.0ms (1.3%)

Memory

0.8MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 660×	`lower-fma.f64`
4 660×	`lower-fma.f32`
4 452×	`lower-*.f32`
4 430×	`lower-*.f64`
3 412×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	331
0	73	331
1	163	327
2	486	273
3	2221	273
4	5771	273
0	8458	273

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (1.4%)

Memory

17.3MiB live, 288.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (-.f64 b a) b)
accuracy	0.568486421301332	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a)))
accuracy	4.218235065648984	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (+.f64 a b) (-.f64 b a))) a)
accuracy	7.964379322402848	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) (/.f64 (-.f64 b a) b))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.181972509768442	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.5841104824161993	(/.f64 (PI.f64) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	30.05655101183337	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a))
accuracy	0.01953125	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.3125	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	4.145289612694377	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
accuracy	30.322427287313882	#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	0.2430978740245801	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	7.878372744252927	(.f64 b (.f64 a a))
accuracy	25.384700540070483	#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	0.171875	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.19921875	(/.f64 (/.f64 (-.f64 b a) (*.f64 a b)) (-.f64 b a))
accuracy	0.234375	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	15.659984731938746	(/.f64 (-.f64 b a) (*.f64 a b))

Samples

91.0ms

256×

valid

Compiler

Compiled 309 to 44 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 33.0ms (49.4% of total)

ival-mult: 20.0ms (29.9% of total)

ival-add: 8.0ms (12% of total)

ival-sub: 4.0ms (6% of total)

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

exact: 1.0ms (1.5% of total)

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

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

series79.0ms (0.9%)

Memory

-26.3MiB live, 145.0MiB allocated

Counts

23 → 504

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	b	@	-inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (* (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (- b a) b)) (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (* 1/2 (PI)) (* (+ a b) (- b a))) (* 1/2 (PI)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)) (/ (- b a) b))
9.0ms	b	@	0	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (* (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (- b a) b)) (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (* 1/2 (PI)) (* (+ a b) (- b a))) (* 1/2 (PI)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)) (/ (- b a) b))
8.0ms	b	@	inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (* (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (- b a) b)) (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (* 1/2 (PI)) (* (+ a b) (- b a))) (* 1/2 (PI)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)) (/ (- b a) b))
6.0ms	a	@	-inf	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (* (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (- b a) b)) (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (* 1/2 (PI)) (* (+ a b) (- b a))) (* 1/2 (PI)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)) (/ (- b a) b))
5.0ms	a	@	0	((/ (/ (- b a) (* a b)) (- b a)) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (- b a) (* a b)) (- b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (/ (PI) (* (+ a b) (- b a))) (* (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (- b a) b)) (/ (/ (* 1/2 (PI)) (* (+ a b) (- b a))) a) (/ (* 1/2 (PI)) (* (+ a b) (- b a))) (* 1/2 (PI)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (+ (/ 1/2 b) (/ -1/2 a)) (* 2 (* a b)) (/ (- b a) b))

simplify202.0ms (2.3%)

Memory

37.4MiB live, 340.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 016×	`lower-fma.f64`
21 016×	`lower-fma.f32`
4 536×	`lower-*.f64`
4 536×	`lower-*.f32`
2 980×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	7802
1	2151	6934
0	8147	6604

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

Calls

Call 1

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

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

rewrite295.0ms (3.4%)

Memory

-30.6MiB live, 449.8MiB allocated

Rules

6 098×	`lower-*.f32`
6 076×	`lower-*.f64`
4 426×	`lower-/.f32`
4 402×	`lower-/.f64`
3 146×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	261
0	73	257
1	355	257
2	3806	257
0	8746	257

Stop Event

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

Counts

23 → 1 651

Calls

Call 1

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

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

eval398.0ms (4.6%)

Memory: 31.0MiB live, 616.7MiB allocated
Compiler: Compiled 60 087 to 5 032 computations (91.6% saved)

prune448.0ms (5.1%)

Memory

-3.2MiB live, 598.3MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	2 572	19	2 591
Fresh	13	3	16
Picked	4	1	5
Done	0	0	0
Total	2 589	23	2 612

Accuracy

100.0%

Counts

2 612 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (-.f64 b a)) (-.f64 b a)) (+.f64 a b)) (.f64 #s(literal 2 binary64) (*.f64 a b)))
	83.8%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
	86.3%	(/.f64 (.f64 (.f64 (PI.f64) (-.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (.f64 (+.f64 a b) (-.f64 b a)))
	93.2%	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) a) b))) (+.f64 a b))
▶	74.9%	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) b))
	68.5%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	60.2%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	99.6%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 a b)) (-.f64 b a)) (*.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))))
	69.3%	(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (+.f64 a b) (-.f64 b a))) a) #s(approx (/ (- b a) b) #s(literal 1 binary64)))
▶	81.1%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	76.0%	(.f64 (/.f64 #s(approx (/ (- b a) ( a b)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	64.3%	(.f64 (/.f64 #s(approx (/ (- b a) ( a b)) (/.f64 #s(literal -1 binary64) b)) (-.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (-.f64 b a) (*.f64 a b)))))
▶	99.7%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	61.7%	#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)))
▶	53.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
	53.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (.f64 a a)))
	55.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	60.2%	#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)))
	60.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	53.9%	#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)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
▶	54.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 744 to 466 computations (37.4% saved)

simplify127.0ms (1.5%)

Memory

9.7MiB live, 195.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	128	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
cost-diff	1280	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) b))
cost-diff	0	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff	0	(-.f64 b a)
cost-diff	320	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	704	(/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (PI.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 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b))
cost-diff	384	(/.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 a a) b))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
cost-diff	0	(*.f64 b a)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 b a))
cost-diff	0	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
cost-diff	0	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))

Rules

6 530×	`lower-fma.f64`
6 530×	`lower-fma.f32`
4 122×	`lower-*.f32`
4 096×	`lower-*.f64`
2 972×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	314
0	71	314
1	160	310
2	493	260
3	2223	260
4	5099	260
0	8502	259

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2%)

Memory

33.2MiB live, 215.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (-.f64 b a) a)
accuracy	0.15234375	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a))
accuracy	4.01112197120837	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) b)
accuracy	11.945526962850703	(/.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) a)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) b))
accuracy	0	(PI.f64)
accuracy	0.1328125	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	2.196601692931063	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy	9.798713381707225	(/.f64 (-.f64 b a) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b)))
accuracy	0	(PI.f64)
accuracy	0.6040575160857825	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a))
accuracy	7.861293735210222	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
accuracy	25.384700540070483	#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	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.22492796729000586	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	7.878372744252927	(.f64 (.f64 a a) b)
accuracy	25.384700540070483	#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	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy	0.171875	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.234375	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	0.5029320464969471	(/.f64 #s(literal 1 binary64) (*.f64 b a))

Samples

142.0ms

256×

valid

Compiler

Compiled 284 to 42 computations (85.2% saved)

Precisions

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

ival-mult: 53.0ms (62.6% of total)

ival-div: 25.0ms (29.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series83.0ms (1%)

Memory

-64.4MiB live, 104.9MiB allocated

Counts

22 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	a	@	0	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* a a)) (* (PI) 1/2) (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* 1/2 (PI))) (- b a) (* (* (+ a b) (- b a)) (* a b)) (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (* (* (PI) 1/2) (/ (- b a) a)) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (+ a b) (- b a)) b) (/ (- b a) a))
10.0ms	b	@	0	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* a a)) (* (PI) 1/2) (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* 1/2 (PI))) (- b a) (* (* (+ a b) (- b a)) (* a b)) (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (* (* (PI) 1/2) (/ (- b a) a)) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (+ a b) (- b a)) b) (/ (- b a) a))
5.0ms	b	@	-inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* a a)) (* (PI) 1/2) (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* 1/2 (PI))) (- b a) (* (* (+ a b) (- b a)) (* a b)) (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (* (* (PI) 1/2) (/ (- b a) a)) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (+ a b) (- b a)) b) (/ (- b a) a))
4.0ms	a	@	-inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* a a)) (* (PI) 1/2) (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* 1/2 (PI))) (- b a) (* (* (+ a b) (- b a)) (* a b)) (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (* (* (PI) 1/2) (/ (- b a) a)) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (+ a b) (- b a)) b) (/ (- b a) a))
3.0ms	a	@	inf	((* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 (* b a)) (* b a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (/ (/ (* (PI) 1/2) (* a a)) b) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) (* a a)) (* (PI) 1/2) (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* (/ (- b a) (* (* (+ a b) (- b a)) (* a b))) (* 1/2 (PI))) (- b a) (* (* (+ a b) (- b a)) (* a b)) (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (* (* (PI) 1/2) (/ (- b a) a)) (/ (* 1/2 (PI)) (+ a b)) (* (* a a) b) (* (* (+ a b) (- b a)) b) (/ (- b a) a))

simplify173.0ms (2%)

Memory

-3.2MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 332×	`lower-fma.f64`
11 332×	`lower-fma.f32`
4 314×	`lower-*.f64`
4 314×	`lower-*.f32`
3 910×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	473	5669
1	1370	5443
2	4354	5157
0	8331	5039

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

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

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

rewrite225.0ms (2.6%)

Memory

-0.0MiB live, 433.7MiB allocated

Rules

6 046×	`lower-/.f32`
6 030×	`lower-/.f64`
3 894×	`lower-*.f32`
3 868×	`lower-*.f64`
1 838×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	250
0	71	246
1	327	208
2	2941	208
0	8765	208

Stop Event

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

Counts

22 → 1 433

Calls

Call 1

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

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

eval684.0ms (7.8%)

Memory: 39.8MiB live, 622.8MiB allocated
Compiler: Compiled 53 457 to 4 662 computations (91.3% saved)

prune543.0ms (6.2%)

Memory

-7.8MiB live, 604.0MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	2 310	12	2 322
Fresh	11	6	17
Picked	5	0	5
Done	0	1	1
Total	2 326	19	2 345

Accuracy

100.0%

Counts

2 345 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (PI.f64)) (.f64 (*.f64 a b) #s(literal 2 binary64)))
	83.8%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 (*.f64 (-.f64 b a) a) b) (+.f64 a b)))
	99.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) (+.f64 a b)))
▶	68.5%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (.f64 (*.f64 a b) (+.f64 a b))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
▶	99.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
▶	99.7%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	99.6%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 a b) (PI.f64)) #s(literal 2 binary64))))
	68.5%	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ ( 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
	61.7%	#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)))
	61.6%	#s(approx (/ (* (* (PI) 1/2) (/ (- b a) a)) (* (* (+ a b) (- b a)) b)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b b) a))))
	53.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (.f64 a a)))
	60.2%	#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)))
	60.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
✓	53.9%	#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)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
▶	60.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 510 to 344 computations (32.5% saved)

simplify161.0ms (1.8%)

Memory

-6.9MiB live, 189.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 682×	`lower-*.f32`
4 662×	`lower-*.f64`
4 078×	`lower-fma.f64`
4 078×	`lower-fma.f32`
3 084×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	258
0	70	256
1	149	254
2	402	220
3	1182	218
4	4370	218
5	7676	218
0	8107	218

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.5%)

Memory

-6.5MiB live, 271.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 a b))
accuracy	0.217128759768442	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 a b)))
accuracy	0.5142131197536965	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 a b))
accuracy	0.181972509768442	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
accuracy	0.24609375	(/.f64 (PI.f64) b)
accuracy	28.748348008947357	#s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b))
accuracy	0	(PI.f64)
accuracy	0.1328125	(.f64 (.f64 a b) (+.f64 a b))
accuracy	0.139003759768442	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
accuracy	0.34459160139644307	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b)))
accuracy	0.13671875	(.f64 (.f64 a b) a)
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	0.22492796729000586	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	25.384700540070483	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
accuracy	0	#s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b))
accuracy	0.171875	(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.18359375	(/.f64 (/.f64 #s(literal 1 binary64) a) b)
accuracy	0.234375	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))

Samples

78.0ms

256×

valid

Compiler

Compiled 230 to 43 computations (81.3% saved)

Precisions

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

ival-mult: 25.0ms (42.5% of total)

ival-div: 24.0ms (40.8% of total)

ival-sub: 7.0ms (11.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

29.0MiB live, 107.0MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* a b)) (taylor 0 b) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) b) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor 0 b) (#s(alt (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b) (taylor 0 b) (#s(alt (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b) (taylor 0 b) (#s(alt (.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) (patch (.f64 #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2)) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) #<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 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) #<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 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ 1 b)) (* 1/2 (/ 1 a))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (/ b a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a)) (* 1/2 (/ 1 b))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) (+.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a b) (+.f64 a b)) (patch (.f64 (.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (.f64 (.f64 a b) (+.f64 a b)) (patch (.f64 (.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (.f64 (.f64 a b) (+.f64 a b)) (patch (.f64 (.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ b (/ (pow b 2) a))) (taylor -inf a) (#s(alt (.f64 (.f64 a b) (+.f64 a b)) (patch (.f64 (.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 a b) (patch (.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 a b) (patch (.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 a b) (patch (.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (.f64 a b) (patch (.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (patch (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.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 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (patch (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.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 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (patch (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.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 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) (patch (/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (PI) a) (taylor -inf a) (#s(alt #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (patch #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a)) (taylor -inf a) (#s(alt #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (patch #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (patch #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a)) (taylor -inf a) (#s(alt #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (patch #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* (pow a 2) b))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))) (patch (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))) (patch (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))) (patch (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))) (patch (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ b a) 1) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 a b)) (patch (/.f64 #s(literal 1 binary64) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) (* a b))) (taylor -inf a) (#s(alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) (patch (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (PI) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) (patch (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a b) a) (patch (.f64 (.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a b) a) (patch (.f64 (.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a b) a) (patch (.f64 (.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) b) (taylor -inf a) (#s(alt (.f64 (.f64 a b) a) (patch (.f64 (.f64 a b) a) #<representation binary64>) () ())) ())
#s(alt (* 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
5.0ms	b	@	-inf	((/ (/ 1 a) b) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (* (/ 1/2 (* (* a b) (+ a b))) (PI)) (/ 1/2 (* (* a b) (+ a b))) (* (* a b) (+ a b)) (* a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (/ 1 (+ a b)) (/ (* (PI) 1/2) (* a b))) (/ 1 (+ a b)) (+ a b) (/ (* (PI) 1/2) (* a b)) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* 2 (* a b)))
4.0ms	a	@	-inf	((/ (/ 1 a) b) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (* (/ 1/2 (* (* a b) (+ a b))) (PI)) (/ 1/2 (* (* a b) (+ a b))) (* (* a b) (+ a b)) (* a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (/ 1 (+ a b)) (/ (* (PI) 1/2) (* a b))) (/ 1 (+ a b)) (+ a b) (/ (* (PI) 1/2) (* a b)) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* 2 (* a b)))
3.0ms	b	@	0	((/ (/ 1 a) b) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (* (/ 1/2 (* (* a b) (+ a b))) (PI)) (/ 1/2 (* (* a b) (+ a b))) (* (* a b) (+ a b)) (* a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (/ 1 (+ a b)) (/ (* (PI) 1/2) (* a b))) (/ 1 (+ a b)) (+ a b) (/ (* (PI) 1/2) (* a b)) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* 2 (* a b)))
3.0ms	b	@	inf	((/ (/ 1 a) b) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (* (/ 1/2 (* (* a b) (+ a b))) (PI)) (/ 1/2 (* (* a b) (+ a b))) (* (* a b) (+ a b)) (* a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (/ 1 (+ a b)) (/ (* (PI) 1/2) (* a b))) (/ 1 (+ a b)) (+ a b) (/ (* (PI) 1/2) (* a b)) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* 2 (* a b)))
3.0ms	a	@	inf	((/ (/ 1 a) b) (* (/ (/ (- b a) (* a b)) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) (* a b)) (- b a)) (/ 1 a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a b) a))) (PI) (/ 1/2 (* (* a b) a)) (* (/ 1/2 (* (* a b) (+ a b))) (PI)) (/ 1/2 (* (* a b) (+ a b))) (* (* a b) (+ a b)) (* a b) (/ (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (* 2 (* a b))) (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/ (PI) b) (* (/ 1 (+ a b)) (/ (* (PI) 1/2) (* a b))) (/ 1 (+ a b)) (+ a b) (/ (* (PI) 1/2) (* a b)) (/ (* 1/2 (PI)) (+ a b)) (* (* a b) a) (* 2 (* a b)))

simplify199.0ms (2.3%)

Memory

-41.8MiB live, 330.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 636×	`lower-fma.f64`
11 636×	`lower-fma.f32`
4 754×	`lower-*.f64`
4 754×	`lower-*.f32`
3 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	5702
1	1590	5576
2	4307	5300
0	8433	5100

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

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

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

rewrite187.0ms (2.1%)

Memory

20.5MiB live, 385.4MiB allocated

Rules

5 190×	`lower-/.f32`
5 172×	`lower-/.f64`
3 616×	`lower-*.f32`
3 596×	`lower-*.f64`
2 384×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	216
0	70	212
1	316	212
2	2676	212
0	8172	212

Stop Event

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

Counts

22 → 767

Calls

Call 1

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

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

eval237.0ms (2.7%)

Memory: 0.2MiB live, 590.4MiB allocated
Compiler: Compiled 27 406 to 2 930 computations (89.3% saved)

prune235.0ms (2.7%)

Memory

5.0MiB live, 690.3MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 648	12	1 660
Fresh	9	4	13
Picked	2	3	5
Done	0	1	1
Total	1 659	20	1 679

Accuracy

100.0%

Counts

1 679 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
	93.3%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 b a) a) b))
✓	68.5%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 a b)))
	68.4%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 #s(literal 1 binary64) (/.f64 b (PI.f64)))) (.f64 #s(literal 2 binary64) (.f64 a b)))
	68.4%	(/.f64 #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (.f64 (/.f64 #s(literal 1 binary64) b) (PI.f64))) (.f64 #s(literal 2 binary64) (*.f64 a b)))
	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)) (PI.f64))
	93.0%	(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (+.f64 b a) b)) (PI.f64))
	99.6%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓	99.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
	68.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) #s(approx (* (/ (PI) (* (+ a b) (- b a))) (- b a)) (/.f64 (PI.f64) b)))
	81.8%	(.f64 (/.f64 #s(literal 1/2 binary64) #s(approx ( (* a b) (+ a b)) (.f64 (fma.f64 a (/.f64 a b) a) (.f64 b b)))) (PI.f64))
	61.6%	(.f64 (/.f64 #s(literal 1/2 binary64) #s(approx ( (* a b) (+ a b)) (.f64 (.f64 b b) a))) (PI.f64))
	61.7%	#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)))
	53.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) (.f64 a a)))
	60.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 b a) a)))
	60.2%	#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)))
✓	53.9%	#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)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
	60.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 b a))))
✓	60.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 1 212 to 383 computations (68.4% saved)

regimes56.0ms (0.6%)

Memory

-24.0MiB live, 133.1MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	a
18.0ms	b
16.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes37.0ms (0.4%)

Memory

18.4MiB live, 95.5MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	a
12.0ms	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
99.7%	1	`a`
99.7%	1	`b`
99.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes24.0ms (0.3%)

Memory

14.3MiB live, 56.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	b
7.0ms	a
6.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes22.0ms (0.3%)

Memory

-21.1MiB live, 57.3MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.2%)

Memory

13.1MiB live, 52.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes13.0ms (0.1%)

Memory

-8.6MiB live, 32.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	b
4.0ms	a
3.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`b`
99.3%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes35.0ms (0.4%)

Memory

-12.4MiB live, 26.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

#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

3 calls:

28.0ms	a
3.0ms	b
3.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
86.8%	2	`a`
84.3%	2	`b`
72.4%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.1%	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)))`
60.1%	1	`b`
60.1%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
54.0%	1	`a`
54.0%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
54.0%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch51.0ms (0.6%)

Memory

6.5MiB live, 45.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	-6.883232953384721e-74	-2.4876674599813004e-79

Samples

13.0ms

144×

valid

Compiler

Compiled 260 to 182 computations (30% saved)

Precisions

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

ival-div: 4.0ms (42.9% of total)

ival-mult: 3.0ms (32.2% of total)

ival-pi: 1.0ms (10.7% of total)

ival-sub: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

-19.4MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	208
1	82	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)) (PI.f64))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) (+.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(.f64 #s(approx (/ (/ (- b a) ( a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b)) #s(approx (/ (/ (- b a) (* a b)) (- b a)) (/.f64 (/.f64 #s(literal 1 binary64) a) b)))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 b a) #s(literal 2 binary64))) (+.f64 b a))
(/.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) #s(literal 2 binary64))) (+.f64 a b))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (.f64 b a)) (PI.f64))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 a b)) (PI.f64))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (+.f64 a b)))
(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) (+.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -2132522037725165/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a)) (PI.f64))) #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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)) (PI.f64)))
#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)))

soundness1.0s (11.6%)

Memory

18.5MiB live, 1 063.8MiB allocated

Rules

21 016×	`lower-fma.f64`
21 016×	`lower-fma.f32`
12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	261
0	73	257
1	355	257
2	3806	257
0	8746	257
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	714	7802
1	2151	6934
0	8147	6604
0	48	216
0	70	212
1	316	212
2	2676	212
0	8172	212
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	47	250
0	71	246
1	327	208
2	2941	208
0	8765	208

Stop Event

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

Compiler

Compiled 631 to 341 computations (46% saved)

preprocess68.0ms (0.8%)

Memory: -13.9MiB live, 179.2MiB allocated
Compiler: Compiled 500 to 262 computations (47.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze94.0ms (1.1%)

sample1.3s (14.8%)

explain212.0ms (2.4%)

preprocess148.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify134.0ms (1.5%)

localize36.0ms (0.4%)

series14.0ms (0.2%)

simplify159.0ms (1.8%)

rewrite190.0ms (2.2%)

eval90.0ms (1%)

prune172.0ms (2%)

simplify110.0ms (1.3%)

localize126.0ms (1.4%)

series79.0ms (0.9%)

simplify202.0ms (2.3%)

rewrite295.0ms (3.4%)

eval398.0ms (4.6%)

prune448.0ms (5.1%)

simplify127.0ms (1.5%)

localize171.0ms (2%)

series83.0ms (1%)

simplify173.0ms (2%)

rewrite225.0ms (2.6%)

eval684.0ms (7.8%)

prune543.0ms (6.2%)

simplify161.0ms (1.8%)

localize128.0ms (1.5%)

series37.0ms (0.4%)

simplify199.0ms (2.3%)

rewrite187.0ms (2.1%)

eval237.0ms (2.7%)

prune235.0ms (2.7%)

regimes56.0ms (0.6%)

regimes37.0ms (0.4%)

regimes24.0ms (0.3%)

regimes22.0ms (0.3%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes35.0ms (0.4%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch51.0ms (0.6%)

simplify10.0ms (0.1%)

soundness1.0s (11.6%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling