Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze116.0ms (1.3%)

Memory

32.5MiB live, 148.7MiB 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

6.3MiB live, 1 505.4MiB allocated

Samples

965.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 676.0ms

ival-div: 324.0ms (47.9% of total)

ival-mult: 217.0ms (32.1% of total)

ival-sub: 75.0ms (11.1% of total)

ival-pi: 40.0ms (5.9% of total)

exact: 9.0ms (1.3% of total)

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

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

Bogosity

explain191.0ms (2.1%)

Memory

9.8MiB live, 389.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
46	0	-	4	(-8.185284818003251e-78 -2.2140451706901328e+156)	`(.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)))`
14	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
3	1	(-7.032471989471804e-249 3.982471708772967e+161)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	42	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	14	0
↳	`(*.f64 b b)`	overflow	72
↳	`(*.f64 a a)`	overflow	61
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	4	0
↳	`(*.f64 b b)`	overflow	72
↳	`(*.f64 a a)`	overflow	61
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	119

Confusion

	Predicted +	Predicted -
+	60	6
-	0	190

Precision

1.0

Recall

0.9090909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	6
-	0	0	190

Precision?

1.0

Recall?

0.9090909090909091

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 256 to 64 computations (75% saved)

Precisions

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

ival-mult: 17.0ms (41.7% of total)

ival-div: 16.0ms (39.3% of total)

ival-sub: 5.0ms (12.3% of total)

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

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

exact: 1.0ms (2.5% of total)

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

preprocess192.0ms (2.1%)

Memory

-10.6MiB live, 244.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(sort a b)

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(.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 21 to 15 computations (28.6% saved)

simplify111.0ms (1.2%)

Memory

23.3MiB live, 127.9MiB 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))

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.6%)

Memory

-22.2MiB live, 67.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.44452197676975447	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	2.941400057490618	(-.f64 (.f64 b b) (.f64 a a))
accuracy	9.934863535375628	(.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

46.0ms

256×

valid

Compiler

Compiled 156 to 32 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 23.0ms (63.5% of total)

ival-sub: 6.0ms (16.6% of total)

ival-mult: 6.0ms (16.6% of total)

ival-pi: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify183.0ms (2%)

Memory

11.1MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

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

rewrite153.0ms (1.7%)

Memory

8.8MiB live, 165.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

Outputs
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eval130.0ms (1.4%)

Memory: 0.3MiB live, 227.4MiB allocated
Compiler: Compiled 19 185 to 2 101 computations (89% saved)

prune38.0ms (0.4%)

Memory

9.7MiB live, 95.9MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	656	23	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	657	23	680

Accuracy

99.9%

Counts

680 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.3%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	86.1%	(fma.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (.f64 a a)))))
	83.6%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
▶	84.4%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (.f64 a b) (-.f64 b a)))
	80.2%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	65.6%	(/.f64 (neg.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 a b) (.f64 a b)) (.f64 (/.f64 (PI.f64) (+.f64 a b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))))
	80.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a)))))
	87.3%	(.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (/.f64 (-.f64 b a) a) b))))
	87.5%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
▶	77.1%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	87.4%	(.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 (/.f64 (-.f64 b a) a) b)))
	80.5%	(.f64 (-.f64 b a) (.f64 (pow.f64 (.f64 a b) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))))
	87.4%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	80.0%	(.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)))))
	80.4%	(.f64 (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 b) b (*.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	41.9%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	52.6%	(.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)))
	46.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 a (/.f64 #s(literal 1/2 binary64) b) #s(literal -1/2 binary64)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	52.6%	#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)))
	41.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) b))) (.f64 b b)))
	51.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	59.7%	#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 908 to 626 computations (31.1% saved)

simplify196.0ms (2.2%)

Memory

-18.3MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 a b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
cost-diff	1408	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (.f64 a b) (-.f64 b a)))
cost-diff	0	(/.f64 (-.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff	0	(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff	1024	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	1408	(.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)))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (PI.f64) (+.f64 a b))
cost-diff	128	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))
cost-diff	3072	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
cost-diff	6080	(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	364
0	81	392
1	171	378
2	582	345
3	3107	305
4	6224	305
0	8367	305

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.9%)

Memory

25.9MiB live, 307.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.166347509768442	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy	0.26171875	(/.f64 (PI.f64) (-.f64 b a))
accuracy	9.895801035375628	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (.f64 a b) (-.f64 b a)))
accuracy	13.460675113759816	(/.f64 (*.f64 a b) (-.f64 b a))
accuracy	0.00390625	(/.f64 (-.f64 b a) a)
accuracy	0.16796875	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
accuracy	7.500633727008605	(/.f64 (/.f64 (-.f64 b a) a) b)
accuracy	10.463345722483247	(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy	0.27734375	(*.f64 (-.f64 b a) (PI.f64))
accuracy	0.30306692419691594	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a))))
accuracy	1.743966228707614	(.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (.f64 (+.f64 a b) (-.f64 b a)))
accuracy	10.761873347168352	(.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)))))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
accuracy	0.5719883231427646	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	8.106449544107685	(.f64 b (.f64 a a))
accuracy	20.080830603900772	#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	0.26171875	(/.f64 (PI.f64) (-.f64 b a))
accuracy	0.26953125	(/.f64 (PI.f64) (+.f64 a b))
accuracy	1.6835848050961777	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
accuracy	5.586799268295151	(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b))

Samples

125.0ms

256×

valid

Compiler

Compiled 700 to 87 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 35.0ms (34.5% of total)

ival-mult: 30.0ms (29.6% of total)

ival-add: 23.0ms (22.7% of total)

ival-pow: 7.0ms (6.9% of total)

ival-sub: 3.0ms (3% of total)

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

exact: 1.0ms (1% of total)

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

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

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

series125.0ms (1.4%)

Memory

-2.2MiB live, 181.0MiB allocated

Counts

24 → 552

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	b	@	-inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* (- b a) (PI)) (- b a) (* (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (* 1/2 (PI))) (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (PI) (- b a)) (* b (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (/ (* a b) (- b a)))
20.0ms	a	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* (- b a) (PI)) (- b a) (* (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (* 1/2 (PI))) (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (PI) (- b a)) (* b (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (/ (* a b) (- b a)))
17.0ms	b	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* (- b a) (PI)) (- b a) (* (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (* 1/2 (PI))) (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (PI) (- b a)) (* b (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (/ (* a b) (- b a)))
9.0ms	b	@	inf	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* (- b a) (PI)) (- b a) (* (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (* 1/2 (PI))) (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (PI) (- b a)) (* b (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (/ (* a b) (- b a)))
8.0ms	a	@	0	((* (/ 1/2 (- b a)) (pow a -1)) (+ (* (/ (PI) (+ a b)) (* (/ 1/2 (- b a)) (pow a -1))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b))) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (neg b)) (/ (PI) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (- b a) (PI)) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a))))) (* (- b a) (PI)) (- b a) (* (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (* 1/2 (PI))) (/ (/ (/ (- b a) a) b) (* (+ a b) (- b a))) (/ (/ (- b a) a) b) (/ (- b a) a) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (+ a b) (/ (PI) (- b a)) (* b (* a a)) (* (* (* a b) 2) (* (+ a b) (- b a))) (/ 1 (* (* (* a b) 2) (* (+ a b) (- b a)))) (/ (* a b) (- b a)))

simplify495.0ms (5.5%)

Memory

-157.6MiB live, 320.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1324	9483
1	4128	8604
0	9257	8196

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 540

Calls

Call 1

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

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

rewrite317.0ms (3.5%)

Memory

-14.1MiB live, 395.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	263
0	81	289
1	357	198
2	3684	198
0	8806	198

Stop Event

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

Counts

24 → 1 979

Calls

Call 1

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

Outputs
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eval586.0ms (6.5%)

Memory: 72.9MiB live, 993.9MiB allocated
Compiler: Compiled 98 567 to 7 326 computations (92.6% saved)

prune190.0ms (2.1%)

Memory

16.2MiB live, 393.4MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	3 556	18	3 574
Fresh	16	2	18
Picked	4	1	5
Done	0	0	0
Total	3 576	21	3 597

Accuracy

100.0%

Counts

3 597 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 a b)) (/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) a)) (/.f64 b (-.f64 b a)))
	99.1%	(/.f64 (.f64 (-.f64 b a) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (PI.f64))) (.f64 (.f64 a b) (-.f64 b a)))
	80.2%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 a b) (*.f64 (+.f64 a b) (-.f64 b a))))
▶	99.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 a b) (*.f64 a b)))
▶	99.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
	65.6%	(/.f64 (neg.f64 (.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
	87.5%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	78.0%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) b) a)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	99.1%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (+.f64 a b))) (/.f64 (PI.f64) (-.f64 b a)))
	57.8%	(.f64 (/.f64 #s(approx (/ (/ (- b a) a) b) (/.f64 #s(literal 1 binary64) a)) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
▶	99.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
	99.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
▶	41.4%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
	51.2%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	68.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a b)) a))
	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (.f64 a a)))
	68.1%	#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)))
✓	59.7%	#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)))
	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
	68.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (pow.f64 (/.f64 (*.f64 a b) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 a (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
▶	59.7%	#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 608 to 459 computations (24.5% saved)

simplify114.0ms (1.3%)

Memory

-9.3MiB live, 187.4MiB 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) b)
cost-diff	0	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
cost-diff	192	(fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (PI.f64) (*.f64 a b))
cost-diff	0	(+.f64 a b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
cost-diff	320	(.f64 (/.f64 (PI.f64) (.f64 a b)) #s(literal 1 binary64))
cost-diff	0	(+.f64 a b)
cost-diff	0	(.f64 (+.f64 a b) (.f64 a b))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
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	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.f64 a b))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 (PI.f64) (.f64 a b)) #s(literal 1 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	253
0	72	243
1	144	241
2	366	238
3	1375	237
4	4885	222
5	7494	222
0	8061	222

Stop Event

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

Calls

Call 1

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

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

localize234.0ms (2.6%)

Memory

-44.1MiB live, 196.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23828125	(/.f64 (PI.f64) b)
accuracy	0.3046875	(/.f64 (PI.f64) a)
accuracy	4.756344052921684	(/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b))
accuracy	32.8069804432993	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
accuracy	0	(PI.f64)
accuracy	0.00390625	(/.f64 #s(literal 1/2 binary64) (+.f64 a b))
accuracy	0.19140625	(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
accuracy	0.5085444490600523	(/.f64 (PI.f64) (*.f64 a b))
accuracy	0	(*.f64 a b)
accuracy	0	(PI.f64)
accuracy	0.15625	(.f64 (+.f64 a b) (.f64 a b))
accuracy	0.482807122678641	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 a b) (*.f64 a b)))
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.49378390782459125	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	8.106449544107685	(.f64 (.f64 a a) b)
accuracy	20.080830603900772	#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	(PI.f64)
accuracy	0.15234375	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
accuracy	0.21022366597218653	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
accuracy	0.5085444490600523	(/.f64 (PI.f64) (*.f64 a b))

Samples

196.0ms

256×

valid

Compiler

Compiled 445 to 73 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-pi: 109.0ms (63.9% of total)

ival-mult: 31.0ms (18.2% of total)

ival-div: 24.0ms (14.1% of total)

ival-sub: 3.0ms (1.8% of total)

ival-add: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series78.0ms (0.9%)

Memory

1.5MiB live, 38.6MiB allocated

Counts

21 → 432

Calls

Call 1

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

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

Calls

6 calls:

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

simplify213.0ms (2.4%)

Memory

10.6MiB live, 81.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	4886
1	837	4812
2	2148	4652
3	6188	4642
0	8315	4440

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

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

rewrite249.0ms (2.8%)

Memory

3.4MiB live, 124.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	196
0	72	186
1	315	186
2	2866	170
0	8381	170

Stop Event

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

Counts

21 → 1 609

Calls

Call 1

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

Outputs
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eval852.0ms (9.4%)

Memory: 32.3MiB live, 580.6MiB allocated
Compiler: Compiled 48 438 to 4 404 computations (90.9% saved)

prune170.0ms (1.9%)

Memory

-9.6MiB live, 189.4MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 606	12	2 618
Fresh	11	4	15
Picked	3	2	5
Done	0	1	1
Total	2 620	19	2 639

Accuracy

100.0%

Counts

2 639 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) b) (+.f64 a b))
▶	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
▶	99.6%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
✓	99.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 a b) (*.f64 a b)))
	51.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx ( (+ a b) (* a b)) (.f64 (.f64 b b) a)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b a) (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))))
	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (.f64 b (/.f64 a (PI.f64)))))
	90.8%	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 b a) a)) (/.f64 #s(literal 1/2 binary64) b))
	99.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
	51.3%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 #s(approx (+ (* (/ (PI) b) -1/2) (* (/ (PI) a) 1/2)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
▶	58.5%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
	68.4%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) a) #s(literal 1/2 binary64)))
	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (.f64 a a)))
	68.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64)) (.f64 b a)))
	68.1%	#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)))
✓	59.7%	#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)))
▶	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
▶	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
✓	59.7%	#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 371 to 321 computations (13.5% saved)

simplify163.0ms (1.8%)

Memory

-53.7MiB live, 138.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	237
0	66	237
1	137	233
2	334	233
3	1158	231
4	5757	209
0	8162	209

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.5%)

Memory

0.1MiB live, 160.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(PI.f64)
accuracy	0.15234375	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
accuracy	0.26009750976844204	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
accuracy	0.45031395587734235	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
accuracy	0	(PI.f64)
accuracy	0.12109375	(/.f64 (/.f64 (PI.f64) (*.f64 b a)) b)
accuracy	0.5085444490600523	(/.f64 (PI.f64) (*.f64 b a))
accuracy	26.470461515692456	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
accuracy	0.23150416048031666	(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
accuracy	0.23828125	(/.f64 (PI.f64) b)
accuracy	8.234506898327894	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a)))
accuracy	20.080830603900772	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
accuracy	0.12890625	(.f64 (.f64 b a) a)
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
accuracy	0.49378390782459125	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
accuracy	20.080830603900772	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
accuracy	0	(PI.f64)
accuracy	0.00390625	(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
accuracy	0.1796875	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
accuracy	0.28515625	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64))

Samples

95.0ms

256×

valid

Compiler

Compiled 385 to 68 computations (82.3% saved)

Precisions

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

ival-div: 34.0ms (47.7% of total)

ival-mult: 18.0ms (25.2% of total)

ival-sub: 15.0ms (21% of total)

ival-add: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.6%)

Memory

24.0MiB live, 101.7MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

6 calls:

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

simplify204.0ms (2.3%)

Memory

-12.7MiB live, 257.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	5240
1	1081	5170
2	2907	4942
3	6440	4926
0	8287	4758

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 450

Calls

Call 1

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

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

rewrite234.0ms (2.6%)

Memory

26.8MiB live, 269.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	203
0	66	199
1	312	175
2	2729	175
0	8180	175

Stop Event

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

Counts

21 → 1 197

Calls

Call 1

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

Outputs
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eval286.0ms (3.2%)

Memory: 24.3MiB live, 593.2MiB allocated
Compiler: Compiled 32 427 to 3 577 computations (89% saved)

prune132.0ms (1.5%)

Memory

-20.4MiB live, 220.2MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1 957	7	1 964
Fresh	6	5	11
Picked	2	3	5
Done	0	3	3
Total	1 965	18	1 983

Accuracy

100.0%

Counts

1 983 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (+.f64 a b) (*.f64 a b)))
	51.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx ( (+ a b) (* a b)) (.f64 (.f64 b b) a)))
	58.5%	(/.f64 (.f64 #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) b)) (PI.f64)) (.f64 b a))
	68.5%	(/.f64 (.f64 #s(approx (/ 1/2 (+ b a)) (/.f64 #s(literal 1/2 binary64) a)) (PI.f64)) (.f64 b a))
	68.4%	(/.f64 #s(approx (* (/ 1/2 (+ b a)) (PI)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b a))
	99.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (.f64 a (/.f64 b (PI.f64)))))
	90.8%	(.f64 (/.f64 (PI.f64) (.f64 (+.f64 b a) a)) (/.f64 #s(literal 1/2 binary64) b))
	99.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
	58.5%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) b))
	51.3%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (/.f64 #s(approx (+ (* (/ (PI) b) -1/2) (* (/ (PI) a) 1/2)) (.f64 (/.f64 (PI.f64) a) #s(literal 1/2 binary64))) (.f64 b b)))
✓	58.5%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) b) (.f64 a a)))
	68.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (PI.f64) b)) a))
	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (*.f64 a b) a)))
✓	59.7%	#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)))
✓	59.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 a a))))
✓	68.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
✓	59.7%	#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 1 112 to 407 computations (63.4% saved)

regimes54.0ms (0.6%)

Memory

22.1MiB live, 96.0MiB allocated

Counts

61 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	b
18.0ms	a
14.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes25.0ms (0.3%)

Memory

-12.8MiB live, 33.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	b
8.0ms	a
7.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes23.0ms (0.3%)

Memory

-4.3MiB live, 34.6MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	a
7.0ms	b
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
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes11.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

3.0ms	b
3.0ms	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
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes11.0ms (0.1%)

Memory

-17.2MiB live, 21.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (* (/ (PI) 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:

4.0ms	b
3.0ms	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
83.3%	2	`a`
84.1%	2	`b`
70.9%	2	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) 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
68.1%	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)))`
68.1%	1	`a`
68.1%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	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)))
1.0ms	b

Results

Accuracy	Segments	Branch
59.7%	1	`b`
59.7%	1	`a`
59.7%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

bsearch27.0ms (0.3%)

Memory

2.2MiB live, 40.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.558016133954824e-51	1.1707351697203741e-41

Samples

17.0ms

160×

valid

Compiler

Compiled 224 to 220 computations (1.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (52.9% of total)

ival-div: 4.0ms (30.2% of total)

ival-pi: 1.0ms (7.6% of total)

ival-sub: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify44.0ms (0.5%)

Memory

-66.8MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	172
1	64	172

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.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 b #s(literal 4315507443078343/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (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 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 b a)) (PI.f64)) (.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (+.f64 a b))) (.f64 a b))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (PI.f64)) (+.f64 a b))
(/.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 a b) (+.f64 a b)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (*.f64 a b))) (PI.f64))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) (+.f64 a b))) (PI.f64))
(if (<=.f64 b #s(literal 4315507443078343/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 b #s(literal 4315507443078343/392318858461667547739736838950479151006397215279002157056 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 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 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 (11.2%)

Memory

37.8MiB live, 672.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	196
0	72	186
1	315	186
2	2866	170
0	8381	170
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	49	263
0	81	289
1	357	198
2	3684	198
0	8806	198

Stop Event

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

Compiler

Compiled 266 to 151 computations (43.2% saved)

preprocess101.0ms (1.1%)

Memory: -35.1MiB live, 126.2MiB allocated
Remove: (sort a b)
Compiler: Compiled 372 to 224 computations (39.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze116.0ms (1.3%)

sample1.3s (14.8%)

explain191.0ms (2.1%)

preprocess192.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify111.0ms (1.2%)

localize57.0ms (0.6%)

series13.0ms (0.1%)

simplify183.0ms (2%)

rewrite153.0ms (1.7%)

eval130.0ms (1.4%)

prune38.0ms (0.4%)

simplify196.0ms (2.2%)

localize174.0ms (1.9%)

series125.0ms (1.4%)

simplify495.0ms (5.5%)

rewrite317.0ms (3.5%)

eval586.0ms (6.5%)

prune190.0ms (2.1%)

simplify114.0ms (1.3%)

localize234.0ms (2.6%)

series78.0ms (0.9%)

simplify213.0ms (2.4%)

rewrite249.0ms (2.8%)

eval852.0ms (9.4%)

prune170.0ms (1.9%)

simplify163.0ms (1.8%)

localize134.0ms (1.5%)

series54.0ms (0.6%)

simplify204.0ms (2.3%)

rewrite234.0ms (2.6%)

eval286.0ms (3.2%)

prune132.0ms (1.5%)

regimes54.0ms (0.6%)

regimes25.0ms (0.3%)

regimes23.0ms (0.3%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch27.0ms (0.3%)

simplify44.0ms (0.5%)

soundness1.0s (11.2%)

preprocess101.0ms (1.1%)

end0.0ms (0%)

Profiling