Metrics for NMSE Section 6.1 mentioned, B

analyze126.0ms (1.2%)

Memory

-9.4MiB live, 190.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (11.2%)

Memory

17.8MiB live, 1 840.9MiB allocated

Samples

828.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-mult: 238.0ms (38% of total)

ival-div: 231.0ms (36.9% of total)

ival-sub: 88.0ms (14.1% of total)

ival-pi: 51.0ms (8.2% of total)

exact: 8.0ms (1.3% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

preprocess294.0ms (2.8%)

Memory

-2.4MiB live, 387.1MiB 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)

explain193.0ms (1.8%)

Memory

15.7MiB live, 341.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(.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)))`
20	-	-	`(-.f64 (.f64 b b) (.f64 a a))`
2	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 b b)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	-	`b`
0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
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**	34	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	20	0
↳	`(*.f64 b b)`	overflow	71
↳	`(*.f64 a a)`	overflow	70
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	2	0
↳	`(*.f64 b b)`	overflow	71
↳	`(*.f64 a a)`	overflow	70
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	121

Confusion

	Predicted +	Predicted -
+	55	6
-	1	194

Precision

0.9821428571428571

Recall

0.9016393442622951

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	6
-	1	0	194

Precision?

0.9821428571428571

Recall?

0.9016393442622951

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 16.0ms (45.5% of total)

ival-mult: 12.0ms (34.1% of total)

ival-sub: 5.0ms (14.2% of total)

ival-pi: 2.0ms (5.7% of total)

exact: 1.0ms (2.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(.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)

simplify255.0ms (2.4%)

Memory

9.2MiB live, 518.4MiB 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)

localize44.0ms (0.4%)

Memory

-25.4MiB live, 92.6MiB 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	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	92.8%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.5%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Samples

27.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

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

ival-div: 8.0ms (44.9% of total)

ival-mult: 6.0ms (33.6% of total)

ival-sub: 2.0ms (11.2% of total)

ival-pi: 1.0ms (5.6% 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

21.3MiB live, 21.3MiB 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))))
1.0ms	b	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))
1.0ms	a	@	inf	(* (* (/ (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)))
1.0ms	a	@	0	(* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))

rewrite334.0ms (3.2%)

Memory

-15.0MiB live, 484.5MiB 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)))
(fma.f64 (PI.f64) (.f64 (/.f64 #s(literal 1/2 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)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 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)))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 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))
(fma.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)))))
(fma.f64 #s(literal 1 binary64) (/.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)))
(fma.f64 #s(literal 1 binary64) (/.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))
(fma.f64 #s(literal 1 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 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 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 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.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)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.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 (/.f64 (PI.f64) (.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)))
(fma.f64 (/.f64 (PI.f64) (.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 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.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 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 #s(literal 1/2 binary64) (/.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)))
(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))
(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.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)))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.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)))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 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))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.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 (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) a) #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 b)))
(fma.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))))
(fma.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))))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 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))))) (/.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)))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 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))))) (/.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 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a 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)))
(fma.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a 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 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a)))) #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))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a)))) #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))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(.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)))

simplify394.0ms (3.8%)

Memory

18.5MiB live, 519.7MiB 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))

eval84.0ms (0.8%)

Memory: -29.2MiB live, 172.0MiB allocated
Compiler: Compiled 22 370 to 2 044 computations (90.9% saved)

prune121.0ms (1.2%)

Memory

25.0MiB live, 222.0MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

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

Accuracy

100.0%

Counts

680 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.5%	(fma.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.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)))
	88.1%	(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))
	88.4%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (.f64 (-.f64 b a) (+.f64 b a))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	84.4%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	80.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
	87.0%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
	49.2%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b))
	51.1%	(/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a))
	58.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
▶	65.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
	79.1%	(/.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))
	80.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))) (*.f64 (-.f64 b a) (PI.f64))))
	86.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (-.f64 b a) (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 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)))
	77.9%	(.f64 (/.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))) b) (/.f64 (-.f64 b a) a))
	84.4%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	99.6%	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (/.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)))
▶	80.4%	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))))
	51.1%	(.f64 (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (*.f64 a a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 842 to 510 computations (39.4% saved)

simplify292.0ms (2.8%)

Memory

-1.6MiB live, 512.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	384	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓	cost-diff	1408	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))))
✓	cost-diff	1024	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.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	(.f64 a (.f64 a b))
✓	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	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (+.f64 b a))
✓	cost-diff	1408	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (+.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))

Rules

5 558×	`lower-fma.f64`
5 558×	`lower-fma.f32`
5 476×	`lower-*.f32`
5 444×	`lower-*.f64`
2 670×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	298
0	59	296
1	141	296
2	570	294
3	3065	270
4	6116	262
0	8795	262

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

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

localize236.0ms (2.3%)

Memory

20.8MiB live, 255.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	accuracy	99.7%	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓	accuracy	99.6%	(/.f64 (PI.f64) (+.f64 b a))
✓	accuracy	72.8%	(/.f64 (-.f64 b a) (*.f64 b a))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))))
✓	accuracy	95.8%	(.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))
✓	accuracy	93.2%	(.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	86.3%	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.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	98.3%	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	85.9%	(/.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%	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	accuracy	99.7%	(.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	72.8%	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

126.0ms

256×

valid

Compiler

Compiled 300 to 34 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 48.0ms (60% of total)

ival-div: 28.0ms (35% of total)

ival-sub: 2.0ms (2.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.8%)

Memory

-20.6MiB live, 57.5MiB allocated

Counts

21 → 432

Calls

Call 1

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

Calls

108 calls:

Time	Variable		Point	Expression
25.0ms	a	@	0	(* b (* a (* 2 (* (- b a) (+ b a)))))
19.0ms	b	@	inf	(/ (- b a) (* b a))
4.0ms	b	@	0	(/ (PI) (+ b a))
3.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
1.0ms	b	@	0	(* (/ (/ (- b a) (* b a)) (+ b a)) (/ (* (PI) 1/2) (- b a)))

rewrite298.0ms (2.8%)

Memory

7.2MiB live, 651.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 842×	`lower-/.f32`
5 826×	`lower-/.f64`
3 852×	`lower-*.f32`
3 820×	`lower-*.f64`
1 392×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	207
0	59	205
1	232	181
2	2118	171
0	8391	171

Stop Event

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

Counts

21 → 2 210

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

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

simplify480.0ms (4.6%)

Memory

-40.2MiB live, 825.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 908×	`lower-fma.f64`
11 908×	`lower-fma.f32`
6 322×	`lower-*.f64`
6 322×	`lower-*.f32`
3 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	924	6719
1	2938	6057
0	8916	5779

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 429

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

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

eval480.0ms (4.6%)

Memory: 52.6MiB live, 851.4MiB allocated
Compiler: Compiled 82 594 to 5 717 computations (93.1% saved)

prune714.0ms (6.8%)

Memory

-84.2MiB live, 712.0MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	3 393	12	3 405
Fresh	14	1	15
Picked	4	1	5
Done	0	0	0
Total	3 411	14	3 425

Accuracy

100.0%

Counts

3 425 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
	59.6%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a a)) b)
	65.3%	(/.f64 (/.f64 (PI.f64) (.f64 a #s(literal 2 binary64))) (.f64 b a))
▶	49.9%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 a (.f64 b (*.f64 b b))))
	58.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
✓	65.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
	93.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 b a) a) b) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
	72.1%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 b a)))
▶	99.7%	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
▶	65.3%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
	68.4%	(.f64 (/.f64 (PI.f64) (.f64 a b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	59.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 (PI.f64) b))
	93.5%	(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 b a) a) b)))
▶	59.4%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))

Compiler

Compiled 345 to 246 computations (28.7% saved)

simplify380.0ms (3.6%)

Memory

-32.7MiB live, 402.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 128×	`lower-fma.f64`
5 128×	`lower-fma.f32`
4 870×	`lower-*.f32`
4 848×	`lower-*.f64`
1 874×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
0	47	150
1	93	150
2	249	150
3	783	150
4	1922	150
5	4451	150
0	8032	149

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.3%)

Memory

28.7MiB live, 106.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	99.6%	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	93.8%	(.f64 a (.f64 b (*.f64 b b)))
✓	accuracy	87.9%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 a (.f64 b (*.f64 b b))))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
✓	accuracy	99.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a))
✓	accuracy	100.0%	(*.f64 b a)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a))
✓	accuracy	99.5%	(/.f64 (PI.f64) (*.f64 b a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
✓	accuracy	87.3%	(.f64 b (.f64 a a))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
✓	accuracy	99.6%	(/.f64 (PI.f64) (+.f64 b a))
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))

Samples

80.0ms

256×

valid

Compiler

Compiled 158 to 27 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 44.0ms (68.7% of total)

ival-mult: 15.0ms (23.4% of total)

ival-pi: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.3%)

Memory

-5.0MiB live, 32.5MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(* b (* a a))
1.0ms	a	@	0	(/ (* (- b a) (* (PI) 1/2)) (* a (* b (* b b))))
1.0ms	b	@	inf	(/ 1/2 (* b (* a a)))
1.0ms	b	@	0	(/ (* (- b a) (* (PI) 1/2)) (* a (* b (* b b))))
1.0ms	a	@	inf	(/ (* (- b a) (* (PI) 1/2)) (* a (* b (* b b))))

rewrite355.0ms (3.4%)

Memory

2.4MiB live, 357.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 862×	`lower-*.f32`
4 840×	`lower-*.f64`
4 594×	`lower-/.f32`
4 578×	`lower-/.f64`
1 536×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	119
0	47	113
1	173	113
2	1308	113
0	8410	113

Stop Event

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

Counts

19 → 1 298

Calls

Call 1

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

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

simplify433.0ms (4.1%)

Memory

13.3MiB live, 411.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 968×	`lower-fma.f64`
11 968×	`lower-fma.f32`
4 730×	`lower-*.f64`
4 730×	`lower-*.f32`
2 032×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	3191
1	824	3145
2	2354	3037
3	6491	3033
0	8203	2969

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 387

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

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

eval378.0ms (3.6%)

Memory: 21.4MiB live, 443.5MiB allocated
Compiler: Compiled 31 964 to 3 400 computations (89.4% saved)

prune235.0ms (2.2%)

Memory

-44.7MiB live, 488.0MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1 970	10	1 980
Fresh	7	1	8
Picked	3	2	5
Done	0	1	1
Total	1 980	14	1 994

Accuracy

100.0%

Counts

1 994 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
	92.9%	(/.f64 (/.f64 (PI.f64) (.f64 a #s(literal 2 binary64))) (.f64 b (+.f64 b a)))
	59.5%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (PI.f64)) b)
▶	93.5%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
▶	58.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
✓	65.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
▶	93.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 a (+.f64 b a))) (PI.f64)))
▶	65.0%	(/.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 (.f64 b a) (PI.f64))))
	99.0%	(/.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 b a)) (/.f64 (+.f64 b a) (PI.f64))))
	99.6%	(*.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) b))
▶	99.7%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
	65.2%	(.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
	93.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
✓	59.4%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))

Compiler

Compiled 305 to 216 computations (29.2% saved)

simplify22.0ms (0.2%)

Memory

1.1MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

324×	`lower-*.f32`
306×	`lower-*.f64`
300×	`lower-/.f32`
284×	`lower-/.f64`
224×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	155
0	41	155
1	84	155
2	198	155
3	342	155
4	435	155
5	489	155
6	503	155
7	509	155
8	510	155
0	510	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (0.8%)

Memory

10.9MiB live, 200.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a (+.f64 b a))
✓	accuracy	99.8%	(/.f64 (.f64 b (.f64 a (+.f64 b a))) (PI.f64))
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 a (+.f64 b a))) (PI.f64)))
✓	accuracy	94.3%	(.f64 b (.f64 a (+.f64 b a)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (/.f64 (.f64 b a) (PI.f64)))
✓	accuracy	99.7%	(/.f64 (*.f64 b a) (PI.f64))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 (.f64 b a) (PI.f64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(*.f64 a (+.f64 b a))
✓	accuracy	99.1%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a))))
✓	accuracy	94.3%	(.f64 b (.f64 a (+.f64 b a)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.2%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
✓	accuracy	89.0%	(.f64 a (.f64 b b))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 b a))
✓	accuracy	99.8%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
✓	accuracy	99.5%	(/.f64 (PI.f64) (*.f64 b a))

Samples

47.0ms

256×

valid

Compiler

Compiled 157 to 24 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 14.0ms (47.1% of total)

ival-mult: 13.0ms (43.7% of total)

ival-pi: 1.0ms (3.4% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

10.1MiB live, 46.6MiB allocated

Counts

17 → 336

Calls

Call 1

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/ 1/2 (+ b a))
1.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* b b)))
0.0ms	b	@	0	(/ (* 1/2 (PI)) (* a (* b b)))
0.0ms	b	@	inf	(/ (* 1/2 (PI)) (* a (* b b)))
0.0ms	b	@	-inf	(* b (* a (+ b a)))

rewrite302.0ms (2.9%)

Memory

1.5MiB live, 632.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 440×	`lower-*.f32`
6 422×	`lower-*.f64`
4 952×	`lower-/.f32`
4 936×	`lower-/.f64`
1 564×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	41	109
1	163	109
2	1157	109
0	8442	109

Stop Event

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

Counts

17 → 1 801

Calls

Call 1

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

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

simplify475.0ms (4.5%)

Memory

25.0MiB live, 794.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 796×	`lower-fma.f64`
11 796×	`lower-fma.f32`
5 828×	`lower-*.f64`
5 828×	`lower-*.f32`
2 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	3500
1	870	3458
2	2248	3334
3	6352	3324
0	8519	3198

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

eval739.0ms (7%)

Memory: -2.7MiB live, 694.0MiB allocated
Compiler: Compiled 43 111 to 4 483 computations (89.6% saved)

prune313.0ms (3%)

Memory

-15.3MiB live, 675.7MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	2 648	9	2 657
Fresh	5	1	6
Picked	3	2	5
Done	0	3	3
Total	2 656	15	2 671

Accuracy

100.0%

Counts

2 671 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.3%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
	58.3%	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) a) (.f64 b b))
	65.2%	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) b)
	65.2%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 b a)))
✓	58.6%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))
✓	65.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
	65.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 b a)) (PI.f64)))
	93.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b (PI.f64)) (.f64 a (+.f64 b a))))
	93.5%	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 (/.f64 a (PI.f64)) (+.f64 b a))))
✓	65.0%	(/.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 (.f64 b a) (PI.f64))))
	65.0%	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (/.f64 b (PI.f64)) a)))
	65.2%	(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) b))
	65.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 b a))) (PI.f64))
	93.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
✓	59.4%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))

Compiler

Compiled 897 to 296 computations (67% saved)

regimes50.0ms (0.5%)

Memory

-22.4MiB live, 124.4MiB allocated

Counts

52 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	a
15.0ms	b
12.0ms	(.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)

regimes20.0ms (0.2%)

Memory

11.1MiB live, 50.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	2	`a`
98.0%	2	`b`
93.5%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

-29.7MiB live, 9.7MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(/.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
99.0%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-13.7MiB live, 23.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
74.8%	4	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
92.2%	2	`b`
90.1%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes3.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
84.5%	2	`a`
86.6%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

17.8MiB live, 17.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a 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
59.4%	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)))`
59.4%	1	`a`
59.4%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch19.0ms (0.2%)

Memory

-29.2MiB live, 52.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
16.0ms	-6.615749845121377e+143	-7.893929799494309e+140

Samples

10.0ms

112×

valid

Compiler

Compiled 208 to 153 computations (26.4% saved)

Precisions

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

ival-div: 3.0ms (40.8% of total)

ival-mult: 3.0ms (40.8% of total)

ival-sub: 1.0ms (13.6% 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)

bsearch21.0ms (0.2%)

Memory

23.9MiB live, 62.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-7.893929799494309e+140	-7.508781089992244e+135

Samples

14.0ms

144×

valid

Compiler

Compiled 260 to 191 computations (26.5% saved)

Precisions

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

ival-div: 5.0ms (48.2% of total)

ival-mult: 3.0ms (28.9% of total)

ival-pi: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% 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

2.6MiB live, 41.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.4231568900000632e+67	-1.3817445033498035e+66

Samples

8.0ms

96×

valid

Compiler

Compiled 182 to 134 computations (26.4% saved)

Precisions

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

ival-div: 3.0ms (49.6% of total)

ival-mult: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.4231568900000632e+67	-1.3817445033498035e+66

Compiler

Compiled 182 to 134 computations (26.4% saved)

bsearch21.0ms (0.2%)

Memory

-23.0MiB live, 57.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.090110845880356e-23	4.269815722090539e-20

Samples

13.0ms

128×

valid

Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions

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

ival-mult: 5.0ms (48.3% of total)

ival-div: 3.0ms (29% of total)

ival-sub: 1.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.090110845880356e-23	4.269815722090539e-20

Compiler

Compiled 218 to 164 computations (24.8% saved)

simplify7.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	160
1	57	160

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688 binary64)) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -284999999999999992833446089667188958713415880593213337510892252376712414849934696869895594046118666985195347870649772950134519205166317568 binary64)) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.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 4785220784825697/664613997892457936451903530140172288 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b a))) (PI.f64)))
(if (<=.f64 b #s(literal 4785220784825697/664613997892457936451903530140172288 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b a))) (PI.f64)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))

Outputs
(.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 b a)))
(if (<=.f64 a #s(literal -1100000000000000001750808361032491541386117805291478793986501254741998304786929440829300302902310171042505512397559867061770314396418009202688 binary64)) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -284999999999999992833446089667188958713415880593213337510892252376712414849934696869895594046118666985195347870649772950134519205166317568 binary64)) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 b a)))))
(if (<=.f64 a #s(literal -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.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 -13999999999999998860368254998753084699791734804929017913403051606016 binary64)) (/.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 4785220784825697/664613997892457936451903530140172288 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b a))) (PI.f64)))
(if (<=.f64 b #s(literal 4785220784825697/664613997892457936451903530140172288 binary64)) (/.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 b a)))))
(if (<=.f64 b #s(literal 4785220784825697/664613997892457936451903530140172288 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b a))) (PI.f64)))
(if (<=.f64 b #s(literal 4785220784825697/664613997892457936451903530140172288 binary64)) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 b a)))))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))

soundness717.0ms (6.8%)

Memory

4.7MiB live, 839.3MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`
6 692×	`lower-*.f64`
6 440×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1696
1	768	1666
2	2295	1612
3	6383	1612
0	8341	1525
0	25	119
0	47	113
1	173	113
2	1308	113
0	8410	113
0	22	109
0	41	109
1	163	109
2	1157	109
0	8442	109
0	32	207
0	59	205
1	232	181
2	2118	171
0	8391	171
0	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49

Stop Event

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

Compiler

Compiled 427 to 226 computations (47.1% saved)

preprocess62.0ms (0.6%)

Memory: -4.6MiB live, 159.7MiB allocated
Remove: (sort a b)
Compiler: Compiled 396 to 132 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	22	155
0	41	155
1	84	155
2	198	155
3	342	155
4	435	155
5	489	155
6	503	155
7	509	155
8	510	155
0	510	155

Iter	Nodes	Cost
0	22	155
0	41	155
1	84	155
2	198	155
3	342	155
4	435	155
5	489	155
6	503	155
7	509	155
8	510	155
0	510	155

analyze126.0ms (1.2%)

sample1.2s (11.2%)

preprocess294.0ms (2.8%)

explain193.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify255.0ms (2.4%)

localize44.0ms (0.4%)

series10.0ms (0.1%)

rewrite334.0ms (3.2%)

simplify394.0ms (3.8%)

eval84.0ms (0.8%)

prune121.0ms (1.2%)

simplify292.0ms (2.8%)

localize236.0ms (2.3%)

series85.0ms (0.8%)

rewrite298.0ms (2.8%)

simplify480.0ms (4.6%)

eval480.0ms (4.6%)

prune714.0ms (6.8%)

simplify380.0ms (3.6%)

localize135.0ms (1.3%)

series36.0ms (0.3%)

rewrite355.0ms (3.4%)

simplify433.0ms (4.1%)

eval378.0ms (3.6%)

prune235.0ms (2.2%)

simplify22.0ms (0.2%)

localize88.0ms (0.8%)

series20.0ms (0.2%)

rewrite302.0ms (2.9%)

simplify475.0ms (4.5%)

eval739.0ms (7%)

prune313.0ms (3%)

regimes50.0ms (0.5%)

regimes20.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch19.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

soundness717.0ms (6.8%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	155
0	41	155
1	84	155
2	198	155
3	342	155
4	435	155
5	489	155
6	503	155
7	509	155
8	510	155
0	510	155