Metrics for NMSE Section 6.1 mentioned, B

analyze120.0ms (1.1%)

Memory

-28.6MiB live, 124.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (10.4%)

Memory

47.0MiB live, 1 934.8MiB allocated

Samples

843.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-div: 293.0ms (46% of total)

ival-mult: 192.0ms (30.1% of total)

ival-sub: 79.0ms (12.4% of total)

ival-pi: 55.0ms (8.6% of total)

exact: 8.0ms (1.3% of total)

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

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

Bogosity

preprocess531.0ms (4.7%)

Memory

-82.6MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(sort a b)

explain186.0ms (1.7%)

Memory

4.6MiB live, 344.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
31	0	-	5	(-9.431581229420347e+157 -1.4780678545142668e-115)	`(.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)))`
13	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
9	1	(1.7668771040366704 1.7636338954574206e+161)	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	26	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	13	0
↳	`(*.f64 b b)`	overflow	54
↳	`(*.f64 a a)`	overflow	67
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	10	0
↳	`(*.f64 b b)`	overflow	54
↳	`(*.f64 a a)`	overflow	67
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	108

Confusion

	Predicted +	Predicted -
+	46	11
-	3	196

Precision

0.9387755102040817

Recall

0.8070175438596491

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	11
-	3	0	196

Precision?

0.9387755102040817

Recall?

0.8070175438596491

Freqs

test

number	freq
0	207
1	49

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms

512×

valid

Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions

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

ival-div: 14.0ms (42.9% of total)

ival-mult: 11.0ms (33.7% of total)

ival-sub: 4.0ms (12.3% of total)

ival-pi: 2.0ms (6.1% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify295.0ms (2.6%)

Memory

-22.3MiB live, 429.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.4%)

Memory

20.4MiB live, 57.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	98.0%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	95.2%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	90.1%	(.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)))

Samples

28.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

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

ival-div: 10.0ms (52.2% of total)

ival-mult: 6.0ms (31.3% of total)

ival-sub: 2.0ms (10.4% of total)

ival-pi: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))>
#<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))))))>
#<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))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))>
#<alt (/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))>
#<alt (/ (+ (* 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))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))>
#<alt (+ (* 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))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<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))>
#<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))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))>
#<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))>
#<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))>
#<alt (* -1 (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (- (pow b 2) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (+ (* -1 (pow a 2)) (pow b 2))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ -1 (pow a 2))>
#<alt (- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<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)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))>
#<alt (+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ -1 (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))>

Calls

24 calls:

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

simplify387.0ms (3.5%)

Memory

0.7MiB live, 548.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	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) (* 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (/ (PI) (pow a 2)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 6))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 8))))))))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (+ (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))) (* 1/2 (/ (* (pow a 6) (PI)) (pow b 6)))))) (pow b 2))
(* 1/2 (/ (PI) (pow b 2)))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 6))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 8))))))))
(* -1/2 (/ (PI) (pow a 2)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(* -1/2 (/ (PI) (pow a 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 b 2) (pow a 2))
(- (pow b 2) (pow a 2))
(- (pow b 2) (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)))))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (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)))))
(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 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))
(* (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 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 (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 (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 (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 (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 (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 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 (PI.f64) (.f64 (/.f64 b (.f64 a (.f64 a a))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a 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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (PI.f64) (.f64 a a))) (/.f64 (.f64 (PI.f64) (.f64 b #s(literal -1/2 binary64))) (.f64 a (*.f64 a a)))) 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 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (PI.f64) (.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 (/.f64 (PI.f64) b) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 (PI.f64) b)) (.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 a (.f64 b b)) (/.f64 (PI.f64) a)))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) a) b) (.f64 (PI.f64) #s(literal -1/2 binary64))) b)) (*.f64 b b))
(/ (+ (* -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))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) a) (.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) a) b)))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)) (/.f64 (.f64 (PI.f64) (.f64 a #s(literal -1/2 binary64))) (.f64 b (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (PI.f64) (.f64 b b))) (/.f64 (.f64 (PI.f64) (.f64 a #s(literal -1/2 binary64))) (.f64 b (*.f64 b b)))) 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)
(/.f64 (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b b))) (.f64 a (fma.f64 (PI.f64) (.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (.f64 b (.f64 b b))))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b b))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
(/ (+ (* -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 #s(literal 1/2 binary64) (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (.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 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 b (.f64 a a)) (/.f64 (PI.f64) b)) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (/.f64 (PI.f64) a)))) (*.f64 a a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
(/ (+ (* -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 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) b) a) (.f64 (PI.f64) #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 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) b) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 b b)) a))) a)) a)) (*.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 4))))
(.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (PI.f64) (.f64 a a))))
(+ (* -1/2 (/ (PI) (pow a 2))) (* (pow b 2) (+ (* -1/2 (/ (PI) (pow a 4))) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 6))))))
(.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 b b) (fma.f64 (PI.f64) (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 (PI.f64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (PI.f64) (*.f64 a a))))
(+ (* -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))))))))
(fma.f64 (.f64 b b) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 b b) (fma.f64 b (.f64 b (/.f64 (PI.f64) (pow.f64 a #s(literal 8 binary64)))) (/.f64 (PI.f64) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (PI.f64) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64))) (.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (PI.f64))) (*.f64 b b))
(/ (+ (* 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))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (fma.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b b))
(/ (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2)))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64))) (.f64 b b))
(/ (+ (* 1/2 (PI)) (+ (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))) (* 1/2 (/ (* (pow a 4) (PI)) (pow b 4))))) (pow b 2))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (PI.f64))) (*.f64 b b))
(/ (+ (* 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))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (fma.f64 (PI.f64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (.f64 b b)) (PI.f64))))
(* 1/2 (/ (PI) (pow b 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b b))
(+ (* 1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 4))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (PI.f64) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (PI.f64) (.f64 b b))))
(+ (* 1/2 (/ (PI) (pow b 2))) (* (pow a 2) (+ (* 1/2 (/ (PI) (pow b 4))) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 6))))))
(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (fma.f64 (PI.f64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (PI.f64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (PI.f64) (*.f64 b b))))
(+ (* 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))))))))
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (/.f64 (PI.f64) (pow.f64 b #s(literal 8 binary64))) (/.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 (PI.f64) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 b b)))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(.f64 (fma.f64 (PI.f64) (.f64 b (/.f64 b (.f64 a a))) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (PI.f64))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))))) (.f64 a a))
(* -1/2 (/ (PI) (pow a 2)))
(.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2)))) (pow a 2))
(.f64 (fma.f64 (PI.f64) (.f64 b (/.f64 b (.f64 a a))) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (PI.f64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (PI.f64))) (*.f64 a a))
(/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 2))) (+ (* -1/2 (/ (* (pow b 4) (PI)) (pow a 4))) (* -1/2 (/ (* (pow b 6) (PI)) (pow a 6)))))) (pow a 2))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (PI.f64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)))))) (.f64 a a))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(- (pow b 2) (pow a 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(- (pow b 2) (pow a 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(- (pow b 2) (pow a 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(* (pow b 2) (+ 1 (* -1 (/ (pow a 2) (pow b 2)))))
(*.f64 (+.f64 a b) (-.f64 b a))
(pow b 2)
(*.f64 b b)
(+ (* -1 (pow a 2)) (pow b 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(+ (* -1 (pow a 2)) (pow b 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(+ (* -1 (pow a 2)) (pow b 2))
(*.f64 (+.f64 a b) (-.f64 b a))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(* (pow a 2) (- (/ (pow b 2) (pow a 2)) 1))
(.f64 (.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(- (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a (neg.f64 a)))
(- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (/.f64 (neg.f64 (.f64 b b)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a (neg.f64 a))))
(- (* (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)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (.f64 b (.f64 b (.f64 b b))) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a (neg.f64 a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))) (.f64 b b))
(/ (- (+ 1 (/ (pow a 6) (pow b 6))) (+ (* -1 (/ (pow a 2) (pow b 2))) (* -1 (/ (pow a 4) (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (/ 1 (pow b 2)) (/ (pow a 2) (pow b 4)))
(/.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(+ (* (pow a 2) (+ (/ 1 (pow b 4)) (/ (pow a 2) (pow b 6)))) (/ 1 (pow b 2)))
(fma.f64 a (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
(+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 6)) (/ (pow a 2) (pow b 8)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 a (.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (.f64 a (.f64 a a))) (/.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ -1 (pow a 2))
(/.f64 #s(literal -1 binary64) (*.f64 a a))
(/ (- (* -1 (/ (pow b 2) (pow a 2))) 1) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a (neg.f64 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 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 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 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a (neg.f64 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 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 a a))
(/ (- (* -1 (/ (pow b 6) (pow a 6))) (+ 1 (+ (/ (pow b 2) (pow a 2)) (/ (pow b 4) (pow a 4))))) (pow a 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))

rewrite459.0ms (4.1%)

Memory

4.1MiB live, 559.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

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

eval81.0ms (0.7%)

Memory: 20.1MiB live, 211.8MiB allocated
Compiler: Compiled 22 370 to 2 044 computations (90.9% saved)

prune97.0ms (0.9%)

Memory

-1.9MiB live, 272.9MiB 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
	92.8%	(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) a))
▶	88.2%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
▶	83.2%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	80.2%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
	87.8%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
	76.3%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a))
▶	99.6%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	90.1%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	83.6%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	88.2%	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))
	99.6%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	88.2%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
▶	83.2%	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
	42.6%	#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 b b)))
	55.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a)))
	51.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))

Compiler

Compiled 674 to 410 computations (39.2% saved)

simplify261.0ms (2.3%)

Memory

11.2MiB live, 525.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	cost-diff	1024	(.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	1344	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	704	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
✓	cost-diff	1088	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))

Rules

5 488×	`lower-*.f32`
5 464×	`lower-*.f64`
5 332×	`lower-fma.f64`
5 332×	`lower-fma.f32`
3 712×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	317
0	63	315
1	156	313
2	620	259
3	3261	259
4	6968	259
0	8128	259

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (1.9%)

Memory

-30.9MiB live, 344.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 b a))
✓	accuracy	99.7%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	accuracy	98.0%	(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	57.1%	(.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
✓	accuracy	99.6%	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	98.0%	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	85.8%	(.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (.f64 (-.f64 b a) (+.f64 b a)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	98.0%	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	85.2%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	accuracy	99.8%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
✓	accuracy	99.7%	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (-.f64 b a))
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a))
✓	accuracy	78.9%	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

91.0ms

256×

valid

Compiler

Compiled 309 to 40 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 43.0ms (61.7% of total)

ival-div: 20.0ms (28.7% of total)

ival-sub: 4.0ms (5.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.4%)

Memory

14.2MiB live, 90.5MiB allocated

Counts

20 → 408

Calls

Call 1

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

Outputs
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (/ 1 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (/ -1 b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ (- (/ b a) 1) b)>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ (+ 1 (* -1 (/ a b))) a)>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (/ -1 b)>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (- (/ 1 a) (/ 1 b))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
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#<alt (/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))>
#<alt (* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))>
#<alt (/ 1 (* a (pow b 3)))>
#<alt (/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)>
#<alt (/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)>
#<alt (/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))>
#<alt (/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))>
#<alt (/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))>
#<alt (/ -1 (* (pow a 3) b))>
#<alt (* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
3.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
2.0ms	b	@	inf	(* (* b a) (* (- b a) (+ b a)))
1.0ms	b	@	0	(/ (/ (- b a) (* b a)) (- b a))
1.0ms	a	@	0	(* (/ (PI) (* (- b a) (+ b a))) (- b a))

simplify408.0ms (3.6%)

Memory

-8.5MiB live, 700.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 904×	`lower-fma.f64`
10 904×	`lower-fma.f32`
4 672×	`lower-*.f64`
4 672×	`lower-*.f32`
2 628×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	678	6195
1	2095	5686
2	7785	5669
0	8425	5427

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

Calls

Call 1

Inputs
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(/ 1 (* a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -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)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ (- (/ b a) 1) b)
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ (+ 1 (* -1 (/ a b))) a)
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(/ -1 b)
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(- (/ 1 a) (/ 1 b))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -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) (* (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) (* (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) (* 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1/2 (* a (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* 1/2 (* b (PI)))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* b (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))))
(* 1/2 (* b (PI)))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* -1 (* b (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b)))))
(* 1/2 (* b (PI)))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(+ (* -1/2 (* a (PI))) (* 1/2 (* b (PI))))
(* -1/2 (* a (PI)))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* a (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))))
(* -1/2 (* a (PI)))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* -1 (* a (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI)))))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (PI) a)
(+ (* -1 (/ (* b (PI)) (pow a 2))) (/ (PI) a))
(+ (* b (- (/ (* b (PI)) (pow a 3)) (/ (PI) (pow a 2)))) (/ (PI) a))
(+ (* b (- (* b (- (* -1 (/ (* b (PI)) (pow a 4))) (* -1 (/ (PI) (pow a 3))))) (/ (PI) (pow a 2)))) (/ (PI) a))
(/ (PI) b)
(/ (+ (PI) (* -1 (/ (* a (PI)) b))) b)
(/ (- (+ (PI) (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b)) b)
(/ (- (+ (PI) (* -1 (/ (* (pow a 3) (PI)) (pow b 3)))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* a (PI)) b))) b)
(/ (PI) b)
(* -1 (/ (+ (* -1 (PI)) (/ (* a (PI)) b)) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow a 2) (PI)) b) (* a (PI))) b))) b))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (PI)) b) (* (pow a 2) (PI))) b)) (* a (PI))) b))) b))
(/ (PI) b)
(+ (* -1 (/ (* a (PI)) (pow b 2))) (/ (PI) b))
(+ (* a (- (/ (* a (PI)) (pow b 3)) (/ (PI) (pow b 2)))) (/ (PI) b))
(+ (* a (- (* a (- (* -1 (/ (* a (PI)) (pow b 4))) (* -1 (/ (PI) (pow b 3))))) (/ (PI) (pow b 2)))) (/ (PI) b))
(/ (PI) a)
(/ (+ (PI) (* -1 (/ (* b (PI)) a))) a)
(/ (- (+ (PI) (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a)) a)
(/ (- (+ (PI) (* -1 (/ (* (pow b 3) (PI)) (pow a 3)))) (+ (* -1 (/ (* (pow b 2) (PI)) (pow a 2))) (/ (* b (PI)) a))) a)
(/ (PI) a)
(* -1 (/ (+ (* -1 (PI)) (/ (* b (PI)) a)) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (/ (* (pow b 2) (PI)) a) (* b (PI))) a))) a))
(* -1 (/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (PI)) a) (* (pow b 2) (PI))) a)) (* b (PI))) a))) a))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)
(/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/ (+ (* -1/2 (/ (PI) 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 (/ (+ (* -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 (/ (* 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) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* -1/2 (/ (* (pow b 2) (PI)) (pow a 3))) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2)))))) (pow a 2))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(* -1 (/ (PI) (pow a 2)))
(+ (* -1 (/ (PI) (pow a 2))) (* -1 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* -1 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(+ (* -1 (/ (PI) (pow a 2))) (* b (- (* b (- (* -1 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (/ (* (PI) (+ a (* -1 a))) (pow a 4)))))
(/ (PI) (pow b 2))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2)))) (/ (* (PI) (+ a (* -1 a))) b)) (pow b 2))
(/ (- (+ (PI) (* -1 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3)))) (+ (* -1 (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ (* -1 (/ (* (pow a 2) (PI)) (pow b 2))) (/ (* (PI) (+ a (* -1 a))) b)))) (pow b 2))
(/ (PI) (pow b 2))
(/ (+ (PI) (* -1 (/ (* (PI) (+ a (* -1 a))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (+ (PI) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) b)) (* (PI) (+ a (* -1 a)))) b))) (pow b 2))
(/ (PI) (pow b 2))
(+ (* -1 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (/ (PI) (pow b 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(+ (* a (- (* a (- (* -1 (* 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 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (/ (* (PI) (+ b (* -1 b))) (pow b 4)))) (/ (PI) (pow b 2)))
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2)))) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (- (+ (* -1 (PI)) (* -1 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))) (+ (/ (* (PI) (+ b (* -1 b))) a) (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow a 2)) (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))
(* -1 (/ (PI) (pow a 2)))
(/ (+ (* -1 (PI)) (/ (* (PI) (+ b (* -1 b))) a)) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (+ (/ (* (PI) (pow (+ b (* -1 b)) 2)) a) (/ (* (pow b 2) (PI)) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a) (/ (* (pow b 2) (* (PI) (+ b (* -1 b)))) a)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) a)) (* (PI) (+ b (* -1 b)))) a))) (pow a 2))
(* 1/2 (/ (PI) 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) 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) 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) 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))
(/ (+ (* -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) 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)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* (pow a 2) b)
(* -1 (* (pow a 3) b))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(* 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))))
(* 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)))))
(* a (pow b 3))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(* -1 (* (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 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 3) b))
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))
(/ 1 (* a (pow b 3)))
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/ 1 (* a (pow b 3)))
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)
(/ -1 (* (pow a 3) b))
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))
(/ -1 (* (pow a 3) b))
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))
(* 2 (* a b))

Outputs
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(/ 1 (* a b))
(/.f64 #s(literal 1 binary64) (*.f64 a b))
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a)))
(/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)
(/.f64 (fma.f64 b (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (.f64 a a))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a 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 b (fma.f64 (.f64 b (PI.f64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a a)))) 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 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 b (.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 a a)))) b)
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) a)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b)) (*.f64 b b))
(/ (+ (* -1/2 (/ (PI) b)) (+ (* -1/2 (/ (* (pow a 2) (PI)) (pow b 3))) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2)))))) (pow b 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 a (/.f64 (PI.f64) (.f64 b b)) (/.f64 (PI.f64) a)) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (PI.f64) b) (/.f64 (.f64 (PI.f64) (.f64 a a)) (.f64 b (.f64 b b)))))) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (fma.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) b) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))) (.f64 b b))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (fma.f64 a (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (.f64 #s(literal 1/2 binary64) (PI.f64))) b)) (.f64 b b))
(/ (+ (* -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))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 a a)) b))) b)) b)) (*.f64 b b))
(* 1/2 (/ (PI) (* a (pow b 2))))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
(/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)
(/.f64 (fma.f64 a (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 b (.f64 b b))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)
(/.f64 (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 b b)))) 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)
(/.f64 (fma.f64 a (fma.f64 a (fma.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (*.f64 b b)))) a)
(* 1/2 (/ (PI) (* (pow a 2) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a)))
(/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (.f64 a a))
(/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 b (/.f64 (PI.f64) (.f64 a a)) (/.f64 (PI.f64) b)) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a)) (*.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))
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(/.f64 (fma.f64 a (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) b) (.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 a (/.f64 (PI.f64) (.f64 b b))) (PI.f64)))) 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (PI.f64) b) (/.f64 (.f64 a (.f64 (PI.f64) (.f64 a a))) (.f64 b (.f64 b b)))) (.f64 #s(literal 1/2 binary64) (fma.f64 a (.f64 a (/.f64 (PI.f64) (.f64 b b))) (PI.f64)))) b)
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))
(neg.f64 (/.f64 (fma.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b) (.f64 (PI.f64) #s(literal -1/2 binary64))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) (*.f64 a a)) b))) b)) (neg.f64 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))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 a (.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (PI.f64) (.f64 a a))) b) (.f64 (PI.f64) (.f64 (*.f64 a a) #s(literal -1/2 binary64)))) b)) b)) (neg.f64 b))
(* 1/2 (/ (PI) b))
(/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) b) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 (PI.f64) (*.f64 b b)))))
(+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))
(fma.f64 a (fma.f64 a (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b)))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 b b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(+ (* 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))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (PI.f64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b b))))) (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 b b))) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)
(/.f64 (fma.f64 b (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 #s(literal 1/2 binary64) (PI.f64))) a)
(/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)
(/.f64 (fma.f64 b (/.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) a) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 b b) (PI.f64)))) 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 (PI.f64) a) (/.f64 (.f64 b (.f64 (PI.f64) (.f64 b b))) (.f64 a (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (PI.f64) (.f64 a a)) (.f64 b b) (PI.f64)))) a)
(* 1/2 (/ (PI) a))
(*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a))
(* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))
(/.f64 (fma.f64 b (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) a)) (.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))
(/.f64 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (PI.f64) (.f64 b b)) a) (.f64 b (*.f64 (PI.f64) #s(literal -1/2 binary64)))) 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 (-.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 b (.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 (PI.f64) (.f64 b b))) a) (.f64 (PI.f64) (.f64 #s(literal -1/2 binary64) (*.f64 b b)))) a)) a)) (neg.f64 a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (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))
(* (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))
(* (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))
(* (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))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* (pow a 2) b)
(.f64 b (.f64 a a))
(* -1 (* (pow a 3) b))
(.f64 (.f64 a a) (*.f64 a (neg.f64 b)))
(* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))
(.f64 (.f64 a a) (*.f64 a (neg.f64 b)))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(.f64 b (fma.f64 a (.f64 b b) (neg.f64 (.f64 a (.f64 a a)))))
(* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))
(.f64 b (fma.f64 a (.f64 b b) (neg.f64 (.f64 a (.f64 a a)))))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))
(.f64 (.f64 b b) (*.f64 b (+.f64 a (/.f64 #s(literal 0 binary64) b))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(.f64 b (.f64 (.f64 b b) (-.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b b)))))
(* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))
(.f64 b (.f64 (.f64 b b) (-.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b b)))))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (* a (+ a (* -1 a))) b)))))
(.f64 (.f64 b (*.f64 b b)) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) b) a)))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(neg.f64 (.f64 (.f64 b (.f64 b b)) (neg.f64 (-.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))))
(* -1 (* (pow b 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (pow a 3) b)) (* a (+ a (* -1 a)))) b)))))
(neg.f64 (.f64 (.f64 b (.f64 b b)) (neg.f64 (-.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b b))))))
(* a (pow b 3))
(.f64 a (.f64 b (*.f64 b b)))
(* a (+ (* a (* b (+ b (* -1 b)))) (pow b 3)))
(fma.f64 a (.f64 b (.f64 b b)) #s(literal 0 binary64))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(.f64 a (fma.f64 a (.f64 a (neg.f64 b)) (.f64 b (.f64 b b))))
(* a (+ (* a (+ (* -1 (* a b)) (* b (+ b (* -1 b))))) (pow b 3)))
(.f64 a (fma.f64 a (.f64 a (neg.f64 b)) (.f64 b (.f64 b b))))
(* -1 (* (pow a 3) b))
(.f64 (.f64 a a) (*.f64 a (neg.f64 b)))
(* (pow a 3) (+ (* -1 b) (/ (* b (+ b (* -1 b))) a)))
(.f64 (.f64 a a) (*.f64 a (-.f64 (/.f64 #s(literal 0 binary64) a) b)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) b)))
(* (pow a 3) (+ (* -1 b) (+ (/ (* b (+ b (* -1 b))) a) (/ (pow b 3) (pow a 2)))))
(.f64 (.f64 a (.f64 a a)) (fma.f64 b (/.f64 (.f64 b b) (*.f64 a a)) (-.f64 (/.f64 #s(literal 0 binary64) a) b)))
(* -1 (* (pow a 3) b))
(.f64 (.f64 a a) (*.f64 a (neg.f64 b)))
(* -1 (* (pow a 3) (+ b (/ (* b (+ b (* -1 b))) a))))
(.f64 (.f64 a (*.f64 a a)) (neg.f64 (+.f64 b (/.f64 #s(literal 0 binary64) a))))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(.f64 (neg.f64 (.f64 a (.f64 a a))) (-.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 b b) a) #s(literal 0 binary64)) a)))
(* -1 (* (pow a 3) (+ b (* -1 (/ (+ (* -1 (* b (+ b (* -1 b)))) (/ (pow b 3) a)) a)))))
(.f64 (neg.f64 (.f64 a (.f64 a a))) (-.f64 b (/.f64 (fma.f64 b (/.f64 (.f64 b b) a) #s(literal 0 binary64)) a)))
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 a (.f64 b (*.f64 a a))))
(/ (- (* -1 (/ (pow b 2) (pow a 5))) (/ 1 (pow a 3))) b)
(/.f64 (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) b)
(/ (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 7))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/.f64 (fma.f64 (.f64 b b) (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 a (*.f64 a a)))) b)
(/ (- (* (pow b 2) (- (* (pow b 2) (- (* -1 (/ (pow b 2) (pow a 9))) (/ 1 (pow a 7)))) (/ 1 (pow a 5)))) (/ 1 (pow a 3))) b)
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (neg.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a (.f64 a a)))) b)
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(/ (+ (/ 1 a) (/ a (pow b 2))) (pow b 3))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b))) (.f64 b (*.f64 b b)))
(/ (- (+ (* -1 (/ (* a (+ a (* -1 a))) (pow b 3))) (/ 1 a)) (* -1 (/ a (pow b 2)))) (pow b 3))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 a (.f64 b b)))) (.f64 b (*.f64 b b)))
(/ (- (+ (* -1 (/ (+ (* -1 (* a (pow (+ a (* -1 a)) 2))) (* -1 (pow a 3))) (pow b 4))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ (* a (+ a (* -1 a))) (pow b 3)))) (pow b 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (.f64 a (.f64 a a))) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (/.f64 a (.f64 b b)) (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))) (.f64 b (*.f64 b b)))
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(* -1 (/ (- (* -1 (/ a (pow b 2))) (/ 1 a)) (pow b 3)))
(/.f64 (+.f64 (/.f64 a (.f64 b (neg.f64 b))) (/.f64 #s(literal -1 binary64) a)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (/ (- (/ (* a (+ a (* -1 a))) (pow b 3)) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 a (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (/ (- (* -1 (/ (- (+ (/ (* a (pow (+ a (* -1 a)) 2)) b) (/ (pow a 3) b)) (* a (+ a (* -1 a)))) (pow b 3))) (+ (/ 1 a) (/ a (pow b 2)))) (pow b 3)))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) b) (fma.f64 a (/.f64 (.f64 a a) b) #s(literal 0 binary64))) (neg.f64 (.f64 b (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (.f64 b b)))) (neg.f64 (.f64 b (.f64 b b))))
(/ 1 (* a (pow b 3)))
(/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (*.f64 b b))))
(/ (+ (/ 1 (pow b 3)) (/ (pow a 2) (pow b 5))) a)
(/.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) a)
(/ (+ (* (pow a 2) (+ (/ 1 (pow b 5)) (/ (pow a 2) (pow b 7)))) (/ 1 (pow b 3))) a)
(/.f64 (fma.f64 (.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b)))) a)
(/ (+ (* (pow a 2) (+ (* (pow a 2) (+ (/ 1 (pow b 7)) (/ (pow a 2) (pow b 9)))) (/ 1 (pow b 5)))) (/ 1 (pow b 3))) a)
(/.f64 (fma.f64 (.f64 a a) (fma.f64 (.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) a)
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 a (.f64 b (*.f64 a a))))
(/ (- (* -1 (/ b (pow a 2))) (/ 1 b)) (pow a 3))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a (neg.f64 a)))) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 a a)))) (.f64 a (*.f64 a a)))
(/ (- (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) (pow a 4))) (+ (/ 1 b) (+ (/ b (pow a 2)) (/ (* b (+ b (* -1 b))) (pow a 3))))) (pow a 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 a a)))) (/.f64 (fma.f64 b (.f64 b b) #s(literal 0 binary64)) (neg.f64 (pow.f64 a #s(literal 4 binary64))))) (.f64 a (.f64 a a)))
(/ -1 (* (pow a 3) b))
(/.f64 #s(literal -1 binary64) (.f64 a (.f64 b (*.f64 a a))))
(* -1 (/ (+ (/ 1 b) (/ b (pow a 2))) (pow a 3)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 b (.f64 a (neg.f64 a)))) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (* -1 (/ (* b (+ b (* -1 b))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 a a)))) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* b (pow (+ b (* -1 b)) 2)) (pow b 3)) a)) (* b (+ b (* -1 b)))) (pow a 3))) (+ (/ 1 b) (/ b (pow a 2)))) (pow a 3)))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 a a))) (/.f64 (neg.f64 (/.f64 (fma.f64 b (.f64 b b) #s(literal 0 binary64)) a)) (.f64 a (.f64 a a)))) (neg.f64 (.f64 a (.f64 a a))))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))
(* 2 (* a b))
(.f64 a (.f64 b #s(literal 2 binary64)))

rewrite373.0ms (3.3%)

Memory

18.0MiB live, 691.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 908×	`lower-/.f32`
5 892×	`lower-/.f64`
3 612×	`lower-*.f32`
3 588×	`lower-*.f64`
1 942×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	216
0	63	212
1	308	166
2	3117	166
0	8392	166

Stop Event

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

Counts

20 → 2 154

Calls

Call 1

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

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

eval603.0ms (5.4%)

Memory: -31.2MiB live, 941.6MiB allocated
Compiler: Compiled 87 623 to 5 742 computations (93.4% saved)

prune503.0ms (4.5%)

Memory

33.2MiB live, 622.2MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	3 477	16	3 493
Fresh	11	1	12
Picked	4	1	5
Done	0	0	0
Total	3 492	18	3 510

Accuracy

100.0%

Counts

3 510 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) b) a)
▶	93.6%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) a) b)
▶	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
	43.2%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
	54.5%	(/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	69.7%	(/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b a) (/.f64 (+.f64 b a) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	83.6%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	63.9%	(.f64 (/.f64 #s(approx (/ (- b a) ( b a)) (/.f64 #s(literal 1 binary64) a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	62.1%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
	51.0%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
▶	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a (*.f64 b a)) (PI.f64)) #s(literal 2 binary64))))
	62.1%	#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)))
▶	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Compiler

Compiled 461 to 324 computations (29.7% saved)

simplify317.0ms (2.8%)

Memory

2.5MiB live, 288.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 294×	`lower-fma.f64`
5 294×	`lower-fma.f32`
4 220×	`lower-*.f32`
4 208×	`lower-*.f64`
1 888×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	245
0	55	245
1	108	239
2	256	239
3	720	236
4	2305	233
5	4510	233
0	8078	233

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (1.8%)

Memory

-6.5MiB live, 180.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) a)
✓	accuracy	99.3%	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))
✓	accuracy	93.7%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) a) b)
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a)
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b)
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a)
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) a) b) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64))
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	accuracy	99.8%	(.f64 a (.f64 b a))
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a))))
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a)))
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 b a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
✓	accuracy	99.3%	(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a)))

Samples

108.0ms

256×

valid

Compiler

Compiled 217 to 35 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.6% of total)

ival-div: 22.0ms (38.1% of total)

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

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

ival-pi: 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)

series50.0ms (0.4%)

Memory

-3.4MiB live, 35.6MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<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))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -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))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 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))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* 2 b)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (/ 1/2 (* (pow a 2) b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4))))))>
#<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))))))))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) b)>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) b)>
#<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)))))) b)>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* -1 (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b)) (* -1/2 (/ (PI) a))) b))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3)))))) a)>
#<alt (/ (+ (* 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)))))))) a)>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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)))))) (pow a 2))>
#<alt (* 1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (PI)) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (PI)) a)) (* 1/2 (* (pow b 2) (PI)))) a)) (* 1/2 (* b (PI)))) a)) (* 1/2 (PI))) (pow a 2))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(* (PI) (/ 1/2 (* a (* b a))))
1.0ms	b	@	inf	(/ 1/2 (* a (* b a)))
1.0ms	b	@	0	(/ (/ (* (PI) 1/2) a) b)
0.0ms	a	@	0	(* (/ 1/2 a) (PI))
0.0ms	a	@	inf	(* (/ 1/2 a) (PI))

simplify638.0ms (5.7%)

Memory

8.1MiB live, 723.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 644×	`lower-fma.f64`
19 644×	`lower-fma.f32`
6 512×	`lower-*.f64`
6 512×	`lower-*.f32`
2 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	4992
1	768	4922
2	2115	4701
3	4906	4627
4	7949	4627
0	8205	4396

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

rewrite680.0ms (6.1%)

Memory

23.4MiB live, 505.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 494×	`lower-/.f32`
5 474×	`lower-/.f64`
3 754×	`lower-*.f32`
3 742×	`lower-*.f64`
2 420×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	55	190
1	250	166
2	2152	166
0	8248	166

Stop Event

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

Counts

18 → 1 464

Calls

Call 1

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

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

eval421.0ms (3.8%)

Memory: 0.3MiB live, 437.3MiB allocated
Compiler: Compiled 34 020 to 2 986 computations (91.2% saved)

prune256.0ms (2.3%)

Memory

-21.6MiB live, 481.6MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	2 107	12	2 119
Fresh	10	2	12
Picked	3	2	5
Done	0	1	1
Total	2 120	17	2 137

Accuracy

100.0%

Counts

2 137 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) b) a)
	54.5%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (*.f64 #s(literal 2 binary64) b))) a) b)
	95.9%	(/.f64 (/.f64 (PI.f64) (.f64 b (.f64 #s(literal 2 binary64) (+.f64 b a)))) a)
▶	69.7%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 a #s(literal 2 binary64)))) (.f64 b a))
	54.5%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 #s(literal 2 binary64) b))) (.f64 b a))
	91.9%	(/.f64 (PI.f64) (.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) b))
	54.5%	(/.f64 #s(approx (/ (/ (PI) (* 2 (+ b a))) a) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a b)))) b)
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) (PI.f64)) b))
▶	99.1%	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a))))
	51.0%	#s(approx (/ (/ (/ (PI) (* 2 (+ b a))) a) b) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	62.1%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
▶	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
▶	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 b a)) (PI.f64))))
✓	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Compiler

Compiled 373 to 270 computations (27.6% saved)

simplify189.0ms (1.7%)

Memory

6.9MiB live, 359.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 852×	`lower-*.f32`
4 834×	`lower-*.f64`
3 068×	`lower-/.f32`
3 052×	`lower-/.f64`
2 842×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	259
0	70	255
1	155	253
2	414	229
3	1548	229
4	5049	229
0	8214	229

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (1.2%)

Memory

-34.2MiB live, 250.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a)
✓	accuracy	99.7%	(/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a)
✓	accuracy	99.6%	(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b)
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 a #s(literal 2 binary64)))) (.f64 b a))
✓	accuracy	99.3%	(/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (*.f64 a #s(literal 2 binary64))))
✓	accuracy	57.8%	#s(approx (* 2 (+ b a)) (*.f64 a #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a)
✓	accuracy	99.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓	accuracy	69.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a)))
✓	accuracy	89.1%	(.f64 b (.f64 a a))
✓	accuracy	69.9%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 (+.f64 b a) (.f64 b a))
✓	accuracy	99.7%	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a)))

Samples

70.0ms

256×

valid

Compiler

Compiled 219 to 43 computations (80.4% saved)

Precisions

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

ival-div: 23.0ms (44.5% of total)

ival-mult: 22.0ms (42.6% of total)

ival-sub: 3.0ms (5.8% of total)

ival-pi: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

3.0MiB live, 42.0MiB allocated

Counts

20 → 396

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (/ 1 (* (pow a 2) b))>
#<alt (/ (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2))) b)>
#<alt (/ (+ (* b (- (/ b (pow a 4)) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)>
#<alt (/ (+ (* b (- (* b (+ (* -1 (/ b (pow a 5))) (/ 1 (pow a 4)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2))) b)>
#<alt (/ 1 (* a (pow b 2)))>
#<alt (/ (- (/ 1 a) (/ 1 b)) (pow b 2))>
#<alt (/ (- (+ (/ 1 a) (/ a (pow b 2))) (/ 1 b)) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (pow a 2) (pow b 3))) (/ 1 a)) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (pow b 2))>
#<alt (/ 1 (* a (pow b 2)))>
#<alt (/ (- (/ 1 a) (/ 1 b)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1 (* -1 (/ a b))) b)) (/ 1 a)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))) b)) (/ 1 a)) (pow b 2))>
#<alt (/ 1 (* a (pow b 2)))>
#<alt (/ (+ (* -1 (/ a (pow b 3))) (/ 1 (pow b 2))) a)>
#<alt (/ (+ (* a (- (/ a (pow b 4)) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)>
#<alt (/ (+ (* a (- (* a (+ (* -1 (/ a (pow b 5))) (/ 1 (pow b 4)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2))) a)>
#<alt (/ 1 (* (pow a 2) b))>
#<alt (/ (- (/ 1 b) (/ 1 a)) (pow a 2))>
#<alt (/ (- (+ (/ 1 b) (/ b (pow a 2))) (/ 1 a)) (pow a 2))>
#<alt (/ (- (+ (* -1 (/ (pow b 2) (pow a 3))) (/ 1 b)) (+ (* -1 (/ b (pow a 2))) (/ 1 a))) (pow a 2))>
#<alt (/ 1 (* (pow a 2) b))>
#<alt (/ (- (/ 1 b) (/ 1 a)) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1 (* -1 (/ b a))) a)) (/ 1 b)) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))) a)) (/ 1 b)) (pow a 2))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (+ (* -1/2 (/ (* b (PI)) (pow a 2))) (* 1/2 (/ (PI) a)))>
#<alt (+ (* 1/2 (/ (PI) a)) (* b (+ (* -1/2 (/ (PI) (pow a 2))) (* 1/2 (/ (* b (PI)) (pow a 3))))))>
#<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))))))))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) b)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow a 2) (PI)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* a (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a (PI))) (* 1/2 (/ (* (pow a 2) (PI)) b))) b)) (* -1/2 (PI))) b))>
#<alt (* -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))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (+ (* -1/2 (/ (* a (PI)) (pow b 2))) (* 1/2 (/ (PI) b)))>
#<alt (+ (* 1/2 (/ (PI) b)) (* a (+ (* -1/2 (/ (PI) (pow b 2))) (* 1/2 (/ (* a (PI)) (pow b 3))))))>
#<alt (+ (* 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))))))))>
#<alt (* 1/2 (/ (PI) a))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) a)) (+ (* 1/2 (PI)) (* 1/2 (/ (* (pow b 2) (PI)) (pow a 2))))) a)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ (PI) a))>
#<alt (* -1 (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* b (PI)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* b (PI))) (* 1/2 (/ (* (pow b 2) (PI)) a))) a)) (* -1/2 (PI))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow b 2) (PI))) (* 1/2 (/ (* (pow b 3) (PI)) a))) a)) (* -1/2 (* b (PI)))) a)) (* -1/2 (PI))) a))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* b (+ 2 (* 2 (/ a b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 2)))>
#<alt (* 2 b)>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (+ (* 2 a) (* 2 b))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* a (+ 2 (* 2 (/ b a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ b a)) 2)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<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)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (+ (* 1/2 (/ (PI) a)) (* 1/2 (/ (* a (PI)) (pow b 2))))) (pow b 2))>
#<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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (PI) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* a (PI)) b)) (* 1/2 (PI))) b)) (* 1/2 (/ (PI) a))) (pow b 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
#<alt (/ (+ (* -1/2 (/ (* a (PI)) (pow b 3))) (* 1/2 (/ (PI) (pow b 2)))) a)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (PI) (pow b 3))) (* 1/2 (/ (* a (PI)) (pow b 4)))))) a)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (+ (* 1/2 (/ (PI) b)) (* 1/2 (/ (* b (PI)) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -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))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (PI) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (* b (PI)) a)) (* 1/2 (PI))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* 1/2 (/ (PI) b))>
#<alt (* (pow a 2) b)>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* b (+ (* a b) (pow a 2)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* (pow b 2) (+ a (/ (pow a 2) b)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* a (+ (* a b) (pow b 2)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) (+ b (/ (pow b 2) a)))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>

Calls

99 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/ 1 (* (+ b a) (* b a)))
0.0ms	b	@	-inf	(* (+ b a) (* b a))
0.0ms	a	@	-inf	(* (+ b a) (* b a))
0.0ms	a	@	inf	(* (+ b a) (* b a))
0.0ms	b	@	0	(/ 1/2 (* b a))

simplify412.0ms (3.7%)

Memory

5.2MiB live, 839.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 136×	`lower-fma.f64`
13 136×	`lower-fma.f32`
5 626×	`lower-*.f64`
5 626×	`lower-*.f32`
2 344×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	5122
1	1000	5036
2	2704	4826
3	5841	4820
0	8252	4606

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

rewrite302.0ms (2.7%)

Memory

6.5MiB live, 604.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 056×	`lower-/.f32`
5 040×	`lower-/.f64`
3 758×	`lower-*.f32`
3 740×	`lower-*.f64`
2 556×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	218
0	70	212
1	316	188
2	2719	188
0	8353	188

Stop Event

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

Counts

20 → 1 093

Calls

Call 1

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

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

eval255.0ms (2.3%)

Memory: 23.0MiB live, 455.4MiB allocated
Compiler: Compiled 24 741 to 2 794 computations (88.7% saved)

prune178.0ms (1.6%)

Memory

5.8MiB live, 481.0MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 669	4	1 673
Fresh	3	6	9
Picked	1	4	5
Done	0	3	3
Total	1 673	17	1 690

Accuracy

100.0%

Counts

1 690 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (+.f64 b a))) b) a)
	54.5%	(/.f64 (/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (*.f64 #s(literal 2 binary64) b))) a) b)
	95.9%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (+.f64 b a))) a)
✓	69.7%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 a #s(literal 2 binary64)))) (.f64 b a))
	54.5%	(/.f64 (/.f64 (PI.f64) #s(approx (* 2 (+ b a)) (.f64 #s(literal 2 binary64) b))) (.f64 b a))
	91.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
	54.5%	(/.f64 #s(approx (/ (/ (PI) (* 2 (+ b a))) a) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a b)))) b)
	69.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b a) (PI.f64)) #s(approx (* 2 (+ b a)) (*.f64 a #s(literal 2 binary64)))))
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) (PI.f64)) b))
	91.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
	51.0%	#s(approx (/ (/ (/ (PI) (* 2 (+ b a))) a) b) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
✓	62.1%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
✓	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) b) a) a))
✓	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (PI.f64)) a))
✓	69.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	69.4%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Compiler

Compiled 865 to 311 computations (64% saved)

regimes52.0ms (0.5%)

Memory

-24.7MiB live, 102.4MiB allocated

Counts

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

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

Calls

3 calls:

20.0ms	a
16.0ms	b
14.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.2%)

Memory

6.1MiB live, 44.5MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`a`
99.1%	1	`b`
99.1%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.2%)

Memory

5.8MiB live, 43.8MiB allocated

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	2	`a`
98.4%	2	`b`
91.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-28.0MiB live, 10.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB 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 a (*.f64 b a)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
#s(approx (/ (/ (/ (PI) (* 2 (+ b a))) a) b) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))

Outputs

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

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

Calls

3 calls:

3.0ms	b
3.0ms	a
2.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
71.4%	2	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
86.7%	2	`b`
85.3%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes10.0ms (0.1%)

Memory

-21.1MiB live, 19.2MiB allocated

Counts

2 → 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 a (*.f64 b a)))))

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

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

Calls

3 calls:

2.0ms	b
2.0ms	a
1.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
69.4%	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)))`
69.4%	1	`a`
69.4%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.4%	1	`b`
69.4%	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)))`
69.4%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch11.0ms (0.1%)

Memory

-14.2MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	-1.7557443244590362e+152	-1.1074110750780221e+151

Samples

8.0ms

48×

valid

Compiler

Compiled 104 to 77 computations (26% saved)

Precisions

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

ival-div: 5.0ms (73.7% of total)

ival-mult: 1.0ms (14.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Memory

-6.4MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.7557443244590362e+152	-1.1074110750780221e+151

Samples

7.0ms

80×

valid

Compiler

Compiled 182 to 134 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.9% of total)

ival-mult: 2.0ms (39.9% of total)

ival-sub: 1.0ms (20% 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)

bsearch9.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-1.7557443244590362e+152	-1.1074110750780221e+151

Samples

5.0ms

64×

valid

Compiler

Compiled 182 to 134 computations (26.4% saved)

Precisions

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

ival-div: 2.0ms (49.8% of total)

ival-sub: 1.0ms (24.9% of total)

ival-mult: 1.0ms (24.9% 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)

bsearch10.0ms (0.1%)

Memory

-21.2MiB live, 17.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
9.0ms	-2.1957715833266782e+117	-5.10053948768205e+112

Samples

7.0ms

48×

valid

Compiler

Compiled 104 to 77 computations (26% saved)

Precisions

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

ival-sub: 4.0ms (62.8% of total)

ival-div: 1.0ms (15.7% of total)

ival-mult: 1.0ms (15.7% 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)

bsearch32.0ms (0.3%)

Memory

-3.5MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.2901997189408283e-97	1.1198296717314833e-95

Samples

9.0ms

112×

valid

Compiler

Compiled 194 to 146 computations (24.7% saved)

Precisions

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

ival-div: 3.0ms (43% of total)

ival-mult: 2.0ms (28.6% of total)

ival-sub: 1.0ms (14.3% 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)

simplify8.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	328
1	93	328

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a))))
(if (<=.f64 a #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 b a))) (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a))) (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -144999999999999991588161331712465913875842890902361083757498352145629549087984350881608766070518161256611155706927887692972677239462339587600676538023936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) (/.f64 (PI.f64) (.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Outputs
(/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (+.f64 b a))) (.f64 b a))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
(if (<=.f64 a #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 b a))) (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) a)) (.f64 #s(literal 2 binary64) (.f64 b a))) (/.f64 (PI.f64) (.f64 b (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(if (<=.f64 a #s(literal -55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a))) (/.f64 (PI.f64) (.f64 (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b a))) (/.f64 (PI.f64) (.f64 b (.f64 a (*.f64 #s(literal 2 binary64) (+.f64 b a))))))
(if (<=.f64 a #s(literal -144999999999999991588161331712465913875842890902361083757498352145629549087984350881608766070518161256611155706927887692972677239462339587600676538023936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) (/.f64 (PI.f64) (.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b a))) b)))
(if (<=.f64 a #s(literal -144999999999999991588161331712465913875842890902361083757498352145629549087984350881608766070518161256611155706927887692972677239462339587600676538023936 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) (/.f64 (PI.f64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b a))))))
(if (<=.f64 a #s(literal -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a))))))
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
(if (<=.f64 b #s(literal 3306747956545557/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

soundness1.1s (9.7%)

Memory

3.4MiB live, 887.4MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
10 904×	`lower-fma.f64`
10 904×	`lower-fma.f32`
6 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	218
0	70	212
1	316	188
2	2719	188
0	8353	188
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525
0	37	196
0	55	190
1	250	166
2	2152	166
0	8248	166
0	40	216
0	63	212
1	308	166
2	3117	166
0	8392	166
0	678	6195
1	2095	5686
2	7785	5669
0	8425	5427
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×	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

Compiler

Compiled 605 to 326 computations (46.1% saved)

preprocess76.0ms (0.7%)

Memory: -8.2MiB live, 161.4MiB allocated
Remove: (sort a b)
Compiler: Compiled 448 to 184 computations (58.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze120.0ms (1.1%)

sample1.2s (10.4%)

preprocess531.0ms (4.7%)

explain186.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify295.0ms (2.6%)

localize45.0ms (0.4%)

series10.0ms (0.1%)

simplify387.0ms (3.5%)

rewrite459.0ms (4.1%)

eval81.0ms (0.7%)

prune97.0ms (0.9%)

simplify261.0ms (2.3%)

localize211.0ms (1.9%)

series42.0ms (0.4%)

simplify408.0ms (3.6%)

rewrite373.0ms (3.3%)

eval603.0ms (5.4%)

prune503.0ms (4.5%)

simplify317.0ms (2.8%)

localize197.0ms (1.8%)

series50.0ms (0.4%)

simplify638.0ms (5.7%)

rewrite680.0ms (6.1%)

eval421.0ms (3.8%)

prune256.0ms (2.3%)

simplify189.0ms (1.7%)

localize129.0ms (1.2%)

series16.0ms (0.1%)

simplify412.0ms (3.7%)

rewrite302.0ms (2.7%)

eval255.0ms (2.3%)

prune178.0ms (1.6%)

regimes52.0ms (0.5%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

bsearch11.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch32.0ms (0.3%)

simplify8.0ms (0.1%)

soundness1.1s (9.7%)

preprocess76.0ms (0.7%)

end0.0ms (0%)

Profiling