Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze91.0ms (1%)

Memory

7.9MiB live, 124.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.3s (13.7%)

Memory

10.1MiB live, 1 737.9MiB allocated

Samples

940.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-div: 334.0ms (47.3% of total)

ival-mult: 205.0ms (29% of total)

ival-sub: 117.0ms (16.6% of total)

ival-pi: 34.0ms (4.8% of total)

exact: 8.0ms (1.1% of total)

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

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

Bogosity

explain276.0ms (3%)

Memory

-0.2MiB live, 363.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	3	(2.443115140416614e+157 -2.9512585405902506e-261)	`(.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)))`
18	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
3	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	37	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	18	0
↳	`(*.f64 b b)`	overflow	81
↳	`(*.f64 a a)`	overflow	55
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	3	0
↳	`(*.f64 b b)`	overflow	81
↳	`(*.f64 a a)`	overflow	55
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	118

Confusion

	Predicted +	Predicted -
+	58	10
-	0	188

Precision

1.0

Recall

0.8529411764705882

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	10
-	0	0	188

Precision?

1.0

Recall?

0.8529411764705882

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 179 to 49 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 23.0ms (44.4% of total)

ival-mult: 12.0ms (23.2% of total)

ival-pi: 11.0ms (21.2% of total)

ival-sub: 5.0ms (9.7% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess147.0ms (1.6%)

Memory

39.1MiB live, 235.7MiB 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune3.0ms (0%)

Memory

-41.9MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(.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)

simplify170.0ms (1.9%)

Memory

39.1MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize44.0ms (0.5%)

Memory

-13.7MiB live, 93.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	0.49384047483528143	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	4.144508544132265	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.706618570941854	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

32.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (49.8% of total)

ival-mult: 6.0ms (29.9% of total)

ival-sub: 2.0ms (10% of total)

ival-pi: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.5%)

Memory

-20.5MiB live, 72.3MiB 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>) () ())) ())
#s(alt (/ (+ (* -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)) (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))) (+ (* -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))))

simplify207.0ms (2.3%)

Memory

-18.4MiB live, 168.5MiB 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)
(/ (+ (* 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)))
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(.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))

rewrite145.0ms (1.6%)

Memory

38.7MiB live, 193.9MiB 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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eval101.0ms (1.1%)

Memory: -15.7MiB live, 134.3MiB allocated
Compiler: Compiled 19 185 to 2 101 computations (89% saved)

prune25.0ms (0.3%)

Memory

30.5MiB live, 69.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	662	17	679
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	663	17	680

Accuracy

100.0%

Counts

680 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.8%	(fma.f64 (/.f64 (PI.f64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (pow.f64 a #s(literal -1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (neg.f64 b)))
	85.3%	(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)))))
	85.6%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 a b)))
▶	86.4%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a))) (/.f64 (.f64 a b) (-.f64 b a)))
	80.3%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 (.f64 (.f64 a b) #s(literal 2 binary64)) (*.f64 (+.f64 a b) (-.f64 b a))))
	64.7%	(/.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)))
	74.6%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) a) b))
▶	80.3%	(/.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)))))
▶	88.7%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	79.7%	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
	88.6%	(.f64 (.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (/.f64 (PI.f64) (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	48.9%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (*.f64 (/.f64 (/.f64 (PI.f64) b) b) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	49.6%	(.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)))
▶	49.6%	#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)))
	48.1%	#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)))
	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
▶	59.6%	#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 644 to 450 computations (30.1% saved)

simplify158.0ms (1.7%)

Memory

-19.8MiB live, 149.9MiB 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 a b)
cost-diff	0	(*.f64 (+.f64 a b) (-.f64 b a))
cost-diff	0	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
cost-diff	1024	(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
cost-diff	0	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (-.f64 b a) a)
cost-diff	0	(/.f64 (/.f64 (-.f64 b a) a) b)
cost-diff	320	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
cost-diff	1088	(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	343
0	79	341
1	169	337
2	549	337
3	2806	295
4	5803	283
0	8720	283

Stop Event

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

Calls

Call 1

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

localize156.0ms (1.7%)

Memory

-0.1MiB live, 273.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (-.f64 b a)))
accuracy	0.24609375	(/.f64 (PI.f64) (-.f64 b a))
accuracy	8.659743570941856	(/.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	16.31599498449894	(/.f64 (*.f64 a b) (-.f64 b a))
accuracy	0.26171875	(*.f64 (PI.f64) (-.f64 b a))
accuracy	0.337723476356198	(/.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)))))
accuracy	1.9651114672757373	(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (*.f64 a b))
accuracy	10.699626820330476	(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a b)) (.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (-.f64 b a))))
accuracy	0.01171875	(+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.32421875	(*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	4.82783873931157	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a))
accuracy	27.455752117234482	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal -1/2 binary64) a))) (.f64 a a)))
accuracy	0.00390625	(.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64))
accuracy	0.2935287743750471	(/.f64 (PI.f64) (.f64 b (.f64 a a)))
accuracy	8.489461288751976	(.f64 b (.f64 a a))
accuracy	21.157760398058002	#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	0.12109375	(.f64 (/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.18359375	(/.f64 (/.f64 (/.f64 (-.f64 b a) a) b) (-.f64 b a))
accuracy	0.23828125	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	6.854356511394722	(/.f64 (/.f64 (-.f64 b a) a) b)

Samples

103.0ms

256×

valid

Compiler

Compiled 321 to 47 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 27.0ms (41.5% of total)

ival-mult: 24.0ms (36.9% of total)

ival-pi: 7.0ms (10.8% of total)

ival-sub: 4.0ms (6.1% of total)

ival-add: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series79.0ms (0.9%)

Memory

19.1MiB live, 132.6MiB allocated

Counts

25 → 576

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)) (/ (PI) (- b a)))
13.0ms	a	@	-inf	((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)) (/ (PI) (- b a)))
10.0ms	a	@	inf	((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)) (/ (PI) (- b a)))
9.0ms	a	@	0	((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)) (/ (PI) (- b a)))
7.0ms	b	@	0	((/ (/ (/ (- b a) a) b) (- b a)) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (- b a) a) b) (/ (- b a) a) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (/ (PI) (* b (* a a))) 1/2) (/ (PI) (* b (* a a))) (PI) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (+ (/ 1/2 b) (/ -1/2 a)) (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (* (* (+ a b) (- b a)) (* a b)) (* (+ a b) (- b a)) (+ a b) (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ 1/2 (+ a b)) (/ (* 1/2 (PI)) (+ a b)) (* b (* a a)) (/ (* (PI) (+ (/ 1/2 b) (/ -1/2 a))) (* a a)) (/ 1 (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a))))) (* (PI) (- b a)) (/ (* a b) (- b a)) (/ (PI) (- b a)))

simplify255.0ms (2.8%)

Memory

19.3MiB live, 360.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	847	7804
1	2658	7202
0	8788	6859

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 567

Calls

Call 1

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

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

rewrite584.0ms (6.4%)

Memory

-131.2MiB live, 429.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	279
0	79	273
1	370	235
2	3759	235
0	8925	235

Stop Event

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

Counts

25 → 1 690

Calls

Call 1

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

Outputs
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eval450.0ms (4.9%)

Memory: 19.3MiB live, 631.9MiB allocated
Compiler: Compiled 55 395 to 5 935 computations (89.3% saved)

prune134.0ms (1.5%)

Memory

-5.8MiB live, 307.3MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2 504	15	2 519
Fresh	11	1	12
Picked	4	1	5
Done	0	0	0
Total	2 519	17	2 536

Accuracy

100.0%

Counts

2 536 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.7%	(/.f64 (/.f64 (-.f64 b a) a) (.f64 (/.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)) (PI.f64)) (*.f64 (-.f64 b a) b)))
	81.5%	(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) 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))
	56.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
	59.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)))
▶	69.6%	(.f64 (/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (-.f64 b a)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	99.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
▶	99.7%	(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
	57.0%	#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a)))
▶	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	66.8%	#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)))
✓	59.6%	#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)))
	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
▶	59.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))
▶	59.5%	#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 406 to 339 computations (16.5% saved)

simplify141.0ms (1.5%)

Memory

38.1MiB live, 189.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	312
0	70	312
1	132	306
2	305	306
3	835	270
4	2896	270
5	6210	270
0	8183	270

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.4%)

Memory

-10.0MiB live, 202.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 (/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b) (-.f64 b a))
accuracy	0.23828125	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	6.854356511394722	(/.f64 #s(approx (/ (- b a) a) #s(literal -1 binary64)) b)
accuracy	30.753256736377864	#s(approx (/ (- b a) a) #s(literal -1 binary64))
accuracy	0.09375	(/.f64 (/.f64 (/.f64 (PI.f64) b) a) a)
accuracy	0.19921875	(/.f64 (PI.f64) b)
accuracy	0.23828125	(/.f64 (/.f64 (PI.f64) b) a)
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
accuracy	0	(PI.f64)
accuracy	0.22151068452477352	(/.f64 (PI.f64) (*.f64 a a))
accuracy	8.343390623066114	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
accuracy	0.26500156365742605	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
accuracy	8.489461288751976	(.f64 (.f64 a a) b)
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
accuracy	0	#s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
accuracy	0.12109375	(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
accuracy	0.23828125	(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b))
accuracy	0.4043683304575366	(/.f64 #s(literal 1 binary64) (*.f64 b a))

Samples

85.0ms

256×

valid

Compiler

Compiled 264 to 39 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 37.0ms (61.8% of total)

ival-mult: 16.0ms (26.7% of total)

ival-sub: 4.0ms (6.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

11.2MiB live, 83.6MiB allocated

Counts

22 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (* b a) (/ (* 1/2 (PI)) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (/ (PI) (* a a)) (/ 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a a)) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ (- b a) a) b) (/ (- b a) a) (/ 1 (* b a)) (* (* a a) b) (/ (PI) b))
5.0ms	a	@	-inf	((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (* b a) (/ (* 1/2 (PI)) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (/ (PI) (* a a)) (/ 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a a)) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ (- b a) a) b) (/ (- b a) a) (/ 1 (* b a)) (* (* a a) b) (/ (PI) b))
4.0ms	b	@	-inf	((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (* b a) (/ (* 1/2 (PI)) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (/ (PI) (* a a)) (/ 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a a)) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ (- b a) a) b) (/ (- b a) a) (/ 1 (* b a)) (* (* a a) b) (/ (PI) b))
3.0ms	b	@	inf	((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (* b a) (/ (* 1/2 (PI)) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (/ (PI) (* a a)) (/ 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a a)) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ (- b a) a) b) (/ (- b a) a) (/ 1 (* b a)) (* (* a a) b) (/ (PI) b))
2.0ms	a	@	inf	((* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (* b a) (/ (* 1/2 (PI)) (+ a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ 1/2 (* (* a a) b))) (PI) (/ 1/2 (* (* a a) b)) (* (/ (PI) (* a a)) (/ 1/2 b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) (* a a)) (* (/ (/ (/ (PI) b) a) a) 1/2) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (/ (/ (PI) b) a) a) (/ (/ (PI) b) a) (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (/ (/ (/ (- b a) a) b) (- b a)) (/ (/ (- b a) a) b) (/ (- b a) a) (/ 1 (* b a)) (* (* a a) b) (/ (PI) b))

simplify278.0ms (3%)

Memory

-12.9MiB live, 403.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	5081
1	689	5018
2	1914	4832
3	4506	4666
0	8086	4472

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

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

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

rewrite220.0ms (2.4%)

Memory

1.1MiB live, 279.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	260
0	70	254
1	301	254
2	2718	254
0	8471	254

Stop Event

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

Counts

22 → 949

Calls

Call 1

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

Outputs
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eval584.0ms (6.4%)

Memory: -20.8MiB live, 283.7MiB allocated
Compiler: Compiled 24 941 to 3 077 computations (87.7% saved)

prune109.0ms (1.2%)

Memory

39.5MiB live, 152.7MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 644	8	1 652
Fresh	5	6	11
Picked	4	1	5
Done	0	1	1
Total	1 653	16	1 669

Accuracy

100.0%

Counts

1 669 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.5%	(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (-.f64 b a)) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 a b) (-.f64 b a)) 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))
	56.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
	99.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
	63.1%	(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
	63.1%	#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)))
▶	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b)))
	59.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a a) (PI.f64)) b)))
	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	66.8%	#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)))
✓	59.6%	#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)))
✓	59.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
▶	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
▶	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
▶	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 340 to 294 computations (13.5% saved)

simplify158.0ms (1.7%)

Memory

-22.9MiB live, 72.4MiB 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) a)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
cost-diff	768	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b)))
cost-diff	384	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) (*.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	40	271
0	60	265
1	112	257
2	233	257
3	719	253
4	2470	249
5	4779	249
0	8139	249

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

localize233.0ms (2.5%)

Memory

10.0MiB live, 129.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a))
accuracy	0.2265625	(/.f64 (/.f64 #s(literal 1/2 binary64) b) a)
accuracy	0.2578125	(/.f64 (PI.f64) a)
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
accuracy	0	(PI.f64)
accuracy	0.14453125	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))
accuracy	0.2578125	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b)))
accuracy	0	(PI.f64)
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b)))
accuracy	0.16015625	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (*.f64 a b))
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
accuracy	0.14453125	(.f64 (.f64 a b) a)
accuracy	0.1484375	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)))
accuracy	0.26500156365742605	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a b) a))
accuracy	21.157760398058002	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
accuracy	0	(PI.f64)
accuracy	0.00390625	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64)))
accuracy	0.12109375	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (PI.f64) (*.f64 a b)) #s(literal 1 binary64))) (+.f64 a b))
accuracy	0.5096583834029902	(/.f64 (PI.f64) (*.f64 a b))

Samples

198.0ms

256×

valid

Compiler

Compiled 233 to 37 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 128.0ms (76.1% of total)

ival-div: 35.0ms (20.8% of total)

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

ival-pi: 1.0ms (0.6% of total)

ival-add: 1.0ms (0.6% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.5%)

Memory

-3.1MiB live, 72.5MiB allocated

Counts

20 → 408

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	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 b) a))) (/ 1/2 (* (* a b) a)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (* (/ (PI) a) (/ (/ 1/2 b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a b) a) (/ (/ 1/2 b) 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 b) a))) (/ 1/2 (* (* a b) a)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (* (/ (PI) a) (/ (/ 1/2 b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a b) a) (/ (/ 1/2 b) a))
2.0ms	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 b) a))) (/ 1/2 (* (* a b) a)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (* (/ (PI) a) (/ (/ 1/2 b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a b) a) (/ (/ 1/2 b) a))
2.0ms	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 b) a))) (/ 1/2 (* (* a b) a)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (* (/ (PI) a) (/ (/ 1/2 b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a b) a) (/ (/ 1/2 b) a))
2.0ms	a	@	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 b) a))) (/ 1/2 (* (* a b) a)) (/ (/ 1/2 a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (* (PI) (/ (/ 1/2 a) (* a b))) (/ (/ (* (PI) 1/2) a) (* a b)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (* (PI) 1/2) a) (* (PI) 1/2) (* (/ (PI) a) (/ (/ 1/2 b) a)) (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/ (PI) a) (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (* (* a b) a) (/ (/ 1/2 b) a))

simplify228.0ms (2.5%)

Memory

-6.5MiB live, 334.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	4544
1	358	4504
2	959	4464
3	2104	4244
4	4043	4204
0	8187	4044

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

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

rewrite335.0ms (3.6%)

Memory

-18.8MiB live, 282.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	230
0	60	216
1	252	216
2	2041	216
0	8477	216

Stop Event

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

Counts

20 → 1 121

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

Outputs
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eval311.0ms (3.4%)

Memory: 25.9MiB live, 372.4MiB allocated
Compiler: Compiled 22 509 to 2 618 computations (88.4% saved)

prune113.0ms (1.2%)

Memory

2.4MiB live, 175.0MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 695	6	1 701
Fresh	5	4	9
Picked	1	4	5
Done	0	2	2
Total	1 701	16	1 717

Accuracy

100.0%

Counts

1 717 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (PI.f64)) a) (+.f64 a b))
	56.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
	99.3%	(/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (/.f64 (.f64 b a) (PI.f64))))
	99.6%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
	63.1%	(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
	63.1%	#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
✓	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b)))
	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (PI.f64)) (.f64 b a))))
	56.3%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
	66.8%	#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)))
✓	59.6%	#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)))
✓	59.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	66.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
✓	66.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))

Compiler

Compiled 845 to 356 computations (57.9% saved)

regimes101.0ms (1.1%)

Memory

-13.2MiB live, 64.9MiB allocated

Counts

47 → 1

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	(.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)))
37.0ms	a
13.0ms	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)

regimes23.0ms (0.3%)

Memory

2.8MiB live, 41.4MiB 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 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b (*.f64 a a))) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 a (PI.f64)) (.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a a) (PI.f64)) b)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b)))
#s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 b a) (/.f64 (.f64 b a) (PI.f64))))
(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(approx (/ (* 1/2 (PI)) (+ a b)) (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 a a) (PI.f64)) #s(literal 2 binary64)) b)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (* (+ a b) (- b a)) (* a b)) (* 1/2 (* (PI) (- b a)))) (.f64 (.f64 (/.f64 (*.f64 b b) (PI.f64)) #s(literal 2 binary64)) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (PI.f64) a) (/.f64 (/.f64 #s(literal 1/2 binary64) b) a)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) b) a) a) #s(literal 1/2 binary64)))
#s(approx (* (/ (/ (/ (- b a) a) b) (- b a)) (/ (* 1/2 (PI)) (+ a b))) (*.f64 (/.f64 (/.f64 (/.f64 (PI.f64) a) b) b) #s(literal 1/2 binary64)))
#s(approx (/ (* (/ 1/2 (+ a b)) (/ (PI) (- b a))) (/ (* a b) (- b a))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (PI.f64) a)))

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

Calls

3 calls:

8.0ms	a
7.0ms	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
99.6%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
99.6%	1	`a`
99.6%	1	`b`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes15.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	b
5.0ms	a
4.0ms	(.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
93.7%	2	`a`
92.5%	2	`b`
72.3%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes30.0ms (0.3%)

Memory

-26.4MiB live, 12.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
85.7%	2	`b`
87.2%	2	`a`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.2%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
87.2%	2	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
66.8%	1	`b`
66.8%	1	`a`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`a`
66.8%	1	`b`
66.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes27.0ms (0.3%)

Memory

-35.3MiB live, 9.1MiB 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:

24.0ms	a
1.0ms	b
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
59.5%	1	`a`
59.5%	1	`b`
59.5%	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)

bsearch17.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-2.010738652819156e-105	-2.2454925606855283e-107

Samples

10.0ms

112×

valid

Compiler

Compiled 164 to 160 computations (2.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (41.1% of total)

ival-mult: 3.0ms (41.1% of total)

ival-sub: 1.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.010738652819156e-105	-2.2454925606855283e-107

Compiler

Compiled 164 to 160 computations (2.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.010738652819156e-105	-2.2454925606855283e-107

Compiler

Compiled 164 to 160 computations (2.4% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.010738652819156e-105	-2.2454925606855283e-107

Compiler

Compiled 164 to 160 computations (2.4% saved)

simplify40.0ms (0.4%)

Memory

1.8MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	385
1	91	385

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))) #s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Outputs
(.f64 #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (.f64 b a))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 a b)))
(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 a b)) #s(approx (/ (/ (/ (- b a) a) b) (- b a)) (/.f64 #s(literal 1 binary64) (*.f64 a b))))
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a b)) (/.f64 (PI.f64) (.f64 a b)))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))) #s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 b a)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))) #s(approx (/ (* 1/2 (* (/ (PI) (* a b)) 1)) (+ a b)) (.f64 (/.f64 (/.f64 (PI.f64) (.f64 a b)) b) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 a b))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a b)) (/.f64 (PI.f64) a))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 a b)))) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -5164499756173817/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (.f64 a b) a)) #s(literal 1/2 binary64))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 b b) a)) #s(literal 1/2 binary64))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 (*.f64 a b) a)) #s(literal 1/2 binary64)))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a b) a)) (PI.f64)))
#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)))

soundness1.3s (14.2%)

Memory

3.5MiB live, 762.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2293	1612
3	6395	1612
0	8352	1525
0	40	230
0	60	216
1	252	216
2	2041	216
0	8477	216
0	49	279
0	79	273
1	370	235
2	3759	235
0	8925	235
0	847	7804
1	2658	7202
0	8788	6859
0	148	4544
1	358	4504
2	959	4464
3	2104	4244
4	4043	4204
0	8187	4044
0	48	260
0	70	254
1	301	254
2	2718	254
0	8471	254
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

Stop Event

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

Compiler

Compiled 499 to 324 computations (35.1% saved)

preprocess355.0ms (3.9%)

Memory: -6.2MiB live, 155.6MiB allocated
Remove: (sort a b)
Compiler: Compiled 484 to 246 computations (49.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze91.0ms (1%)

sample1.3s (13.7%)

explain276.0ms (3%)

preprocess147.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify170.0ms (1.9%)

localize44.0ms (0.5%)

series42.0ms (0.5%)

simplify207.0ms (2.3%)

rewrite145.0ms (1.6%)

eval101.0ms (1.1%)

prune25.0ms (0.3%)

simplify158.0ms (1.7%)

localize156.0ms (1.7%)

series79.0ms (0.9%)

simplify255.0ms (2.8%)

rewrite584.0ms (6.4%)

eval450.0ms (4.9%)

prune134.0ms (1.5%)

simplify141.0ms (1.5%)

localize128.0ms (1.4%)

series36.0ms (0.4%)

simplify278.0ms (3%)

rewrite220.0ms (2.4%)

eval584.0ms (6.4%)

prune109.0ms (1.2%)

simplify158.0ms (1.7%)

localize233.0ms (2.5%)

series44.0ms (0.5%)

simplify228.0ms (2.5%)

rewrite335.0ms (3.6%)

eval311.0ms (3.4%)

prune113.0ms (1.2%)

regimes101.0ms (1.1%)

regimes23.0ms (0.3%)

regimes15.0ms (0.2%)

regimes30.0ms (0.3%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes27.0ms (0.3%)

bsearch17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify40.0ms (0.4%)

soundness1.3s (14.2%)

preprocess355.0ms (3.9%)

end0.0ms (0%)

Profiling