Metrics for NMSE Section 6.1 mentioned, B

analyze128.0ms (1.2%)

Memory

32.1MiB live, 108.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.3s (12.4%)

Memory

-7.0MiB live, 1 660.9MiB allocated

Samples

952.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 690.0ms

ival-mult: 269.0ms (39% of total)

ival-div: 259.0ms (37.6% of total)

ival-sub: 88.0ms (12.8% of total)

ival-pi: 57.0ms (8.3% of total)

exact: 8.0ms (1.2% of total)

ival-true: 5.0ms (0.7% of total)

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

Bogosity

preprocess283.0ms (2.7%)

Memory

-6.2MiB live, 590.7MiB 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)

explain214.0ms (2%)

Memory

2.7MiB live, 479.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
40	1	(1.34653925121083e-210 2.0474150617070077e+266)	5	(-4.171948410475237e-186 5.520410715035442e+155)	`(.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)))`
21	0	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
7	0	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`a`
0	0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`b`
0	0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	36	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	21	0
↳	`(*.f64 b b)`	overflow	73
↳	`(*.f64 a a)`	overflow	70
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	7	0
↳	`(*.f64 b b)`	overflow	73
↳	`(*.f64 a a)`	overflow	70
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	122

Confusion

	Predicted +	Predicted -
+	61	9
-	3	183

Precision

0.953125

Recall

0.8714285714285714

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	9
-	3	0	183

Precision?

0.953125

Recall?

0.8714285714285714

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms

512×

valid

Compiler

Compiled 204 to 64 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 18.0ms (47.5% of total)

ival-mult: 13.0ms (34.3% of total)

ival-sub: 4.0ms (10.5% of total)

ival-pi: 2.0ms (5.3% of total)

exact: 1.0ms (2.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify260.0ms (2.5%)

Memory

51.0MiB live, 468.3MiB 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)

localize72.0ms (0.7%)

Memory

-21.9MiB live, 107.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	92.6%	(-.f64 (.f64 b b) (.f64 a a))
✓	accuracy	87.3%	(.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

43.0ms

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: 9.0ms (49.9% of total)

ival-mult: 6.0ms (33.3% of total)

ival-sub: 2.0ms (11.1% of total)

ival-pi: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-12.9MiB live, 25.1MiB 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
3.0ms	b	@	0	(/ 1 (- (* b b) (* a a)))
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	b	@	inf	(* (* (/ (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)))

simplify355.0ms (3.4%)

Memory

1.1MiB live, 702.4MiB 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))

rewrite400.0ms (3.8%)

Memory

30.5MiB live, 594.2MiB 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)))
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(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 b b)))
(+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))) (.f64 (.f64 b (.f64 b (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a))))))
(+.f64 (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))))
(+.f64 (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))) (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (.f64 b (.f64 b (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 a (.f64 a (fma.f64 b b (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (*.f64 b b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 b (.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (*.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 b a) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (fma.f64 b (neg.f64 b) (*.f64 a a)))
(/.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))))
(/.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a))))
(/.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))))) (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)))))
(/.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b (neg.f64 b) (.f64 a a))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a))) (+.f64 (neg.f64 b) a))
(pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (.f64 a a)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b b (.f64 a (+.f64 b a))) (-.f64 b a)))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 a (fma.f64 b b (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (fma.f64 b b (*.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (fma.f64 b b (.f64 a a)))) (.f64 (fma.f64 b b (.f64 a a)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (-.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64)))

eval87.0ms (0.8%)

Memory: 12.8MiB live, 203.0MiB allocated
Compiler: Compiled 22 466 to 2 044 computations (90.9% saved)

prune95.0ms (0.9%)

Memory

-18.1MiB live, 261.9MiB 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
	87.6%	(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))
	87.7%	(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))))
▶	86.1%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
▶	80.7%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	78.0%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
	81.0%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	86.1%	(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	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))))
	86.1%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	99.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (/.f64 (-.f64 b a) (*.f64 b a)))))
▶	99.6%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	86.0%	(.f64 (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))
	85.2%	(.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (*.f64 b a)))
	86.0%	(.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (/.f64 (-.f64 b a) (*.f64 b a))))
	53.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.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)))
	48.2%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
	50.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))) (.f64 a a)))
	58.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b))))
▶	64.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))

Compiler

Compiled 866 to 520 computations (40% saved)

simplify288.0ms (2.7%)

Memory

18.6MiB live, 428.1MiB 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 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (-.f64 b a) (+.f64 b a)))
✓	cost-diff	384	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	cost-diff	1408	(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	cost-diff	1024	(.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))
✓	cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (PI.f64))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(/.f64 (-.f64 b a) (*.f64 b a))
✓	cost-diff	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)))

Rules

5 162×	`lower-fma.f64`
5 162×	`lower-fma.f32`
4 980×	`lower-*.f32`
4 954×	`lower-*.f64`
4 798×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	307
0	70	299
1	165	297
2	636	257
3	3097	257
4	7656	257
0	9129	257

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

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

localize130.0ms (1.2%)

Memory

-0.5MiB live, 231.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	98.9%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	87.3%	(.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 b a))
✓	accuracy	99.7%	(/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	accuracy	98.9%	(/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	50.1%	(.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.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	97.0%	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
✓	accuracy	83.7%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(.f64 a (.f64 a b))
✓	accuracy	99.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
✓	accuracy	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (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 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
✓	accuracy	75.0%	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

71.0ms

256×

valid

Compiler

Compiled 299 to 41 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 25.0ms (51.7% of total)

ival-div: 17.0ms (35.2% of total)

ival-sub: 4.0ms (8.3% of total)

ival-pi: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.5%)

Memory

-20.1MiB live, 65.5MiB allocated

Counts

21 → 432

Calls

Call 1

Inputs
#<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 b a) (*.f64 b a))>
#<alt (-.f64 b a)>
#<alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))>
#<alt (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))>
#<alt (*.f64 #s(literal 1/2 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))>
#<alt (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a))>
#<alt (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (-.f64 b a) (+.f64 b a))) (-.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))>
#<alt (/.f64 (PI.f64) (*.f64 (-.f64 b a) (+.f64 b a)))>
#<alt (.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (-.f64 b a) (+.f64 b a))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))>
#<alt (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (-.f64 b a) (+.f64 b a)))>
#<alt (/.f64 (PI.f64) (+.f64 b a))>
#<alt (.f64 a (.f64 a b))>
#<alt (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))>
#<alt (.f64 #s(literal 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 (* -1 (/ (PI) (* a b)))>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (/ (PI) (pow a 2)) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (* -1 (/ (PI) (pow a 3))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (+ (* -1 (/ (PI) a)) (* b (- (+ (* b (- (+ (* -1 (/ (PI) (pow a 3))) (* b (- (/ (PI) (pow a 4)) (* -1 (/ (PI) (pow a 4)))))) (/ (PI) (pow a 3)))) (/ (PI) (pow a 2))) (* -1 (/ (PI) (pow a 2)))))) b)>
#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) 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 (/ (* 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))>
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#<alt (/ (+ (* -1 (/ (+ (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))) (* 1/2 (/ (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))) a))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))))) (* 1/2 (/ (+ (* -1 (* (pow b 2) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) (* (+ b (* -1 b)) (+ (* -1 (* b (PI))) (* -1 (* (+ b (* -1 b)) (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b)))))))) a))) a)) (* 1/2 (- (PI) (* -1 (/ (* (PI) (+ b (* -1 b))) b))))) a)) (* 1/2 (/ (PI) b))) (pow a 2))>
#<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 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 (* -1/2 (/ (PI) (pow a 2)))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* -1/2 (/ (* b (* (PI) (+ a (* -1 a)))) (pow a 4))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (* b (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6))))) (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))))))>
#<alt (+ (* -1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) (pow a 4))) (* b (+ (* -1/2 (* b (+ (/ (* (PI) (+ a (* -1 a))) (pow a 6)) (/ (* (+ a (* -1 a)) (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))) (pow a 2))))) (* -1/2 (+ (/ (PI) (pow a 4)) (/ (* (PI) (pow (+ a (* -1 a)) 2)) (pow a 6)))))))))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (* 1/2 (PI)))) (pow b 2))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (+ (* -1/2 (/ (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))) (pow b 2))) (+ (* -1/2 (/ (+ (* -1 (* (+ a (* -1 a)) (+ (* -1 (* (PI) (pow (+ a (* -1 a)) 2))) (* -1 (* (pow a 2) (PI)))))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) (pow b 3))) (* 1/2 (PI))))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (/ (+ (* -1/2 (/ (* (PI) (+ a (* -1 a))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* (+ a (* -1 a)) (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI)))) (* (pow a 2) (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (+ (* (PI) (pow (+ a (* -1 a)) 2)) (* (pow a 2) (PI))))) b)) (* 1/2 (* (PI) (+ a (* -1 a))))) b)) (* 1/2 (PI))) (pow b 2))>
#<alt (* 1/2 (/ (PI) (pow b 2)))>
#<alt (+ (* -1/2 (/ (* a (* (PI) (+ b (* -1 b)))) (pow b 4))) (* 1/2 (/ (PI) (pow b 2))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6)))))) (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))))))>
#<alt (+ (* 1/2 (/ (PI) (pow b 2))) (* a (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) (pow b 4))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* (+ b (* -1 b)) (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))) (pow b 2))) (/ (* (PI) (+ b (* -1 b))) (pow b 6))))) (* -1/2 (+ (* -1 (/ (PI) (pow b 4))) (* -1 (/ (* (PI) (pow (+ b (* -1 b)) 2)) (pow b 6))))))))))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* -1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))))) (pow a 2))>
#<alt (/ (+ (* -1/2 (PI)) (+ (* -1/2 (/ (* (PI) (+ b (* -1 b))) a)) (+ (* -1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) (pow a 2))) (* -1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) (pow a 3)))))) (pow a 2))>
#<alt (* -1/2 (/ (PI) (pow a 2)))>
#<alt (/ (+ (* -1/2 (PI)) (* 1/2 (/ (* (PI) (+ b (* -1 b))) a))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1/2 (* (PI) (+ b (* -1 b)))) (* 1/2 (/ (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI))) a))) a)) (* -1/2 (PI))) (pow a 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* 1/2 (/ (+ (* (+ b (* -1 b)) (+ (* (PI) (pow (+ b (* -1 b)) 2)) (* (pow b 2) (PI)))) (* (pow b 2) (* (PI) (+ b (* -1 b))))) a))) a)) (* -1/2 (* (PI) (+ b (* -1 b))))) a)) (* -1/2 (PI))) (pow a 2))>
#<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 (* (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 (* (pow a 3) b))>
#<alt (* b (+ (* -1 (pow a 3)) (* a (* b (+ a (* -1 a))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* b (+ (* -1 (pow a 3)) (* b (+ (* a b) (* a (+ a (* -1 a)))))))>
#<alt (* a (pow b 3))>
#<alt (* (pow b 3) (+ a (/ (* a (+ a (* -1 a))) b)))>
#<alt (* (pow b 3) (+ a (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (* a (+ a (* -1 a))) b))))>
#<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 b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>
#<alt (* 2 (* a b))>

Calls

108 calls:

Time	Variable		Point	Expression
12.0ms	a	@	-inf	(* 2 (* b a))
2.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
2.0ms	a	@	inf	(* (* b a) (* (- b a) (+ b a)))
1.0ms	b	@	0	(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))
1.0ms	b	@	inf	(/ (- b a) (* b a))

simplify557.0ms (5.3%)

Memory

-9.2MiB live, 718.0MiB allocated

Algorithm

1×	egg-herbie

Rules

21 782×	`lower-fma.f64`
21 782×	`lower-fma.f32`
5 956×	`lower-*.f64`
5 956×	`lower-*.f32`
4 474×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	872	7655
1	2789	6612
0	9594	6333

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

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

rewrite389.0ms (3.7%)

Memory

17.7MiB live, 643.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 508×	`lower-/.f32`
4 488×	`lower-/.f64`
4 400×	`lower-*.f32`
4 374×	`lower-*.f64`
2 716×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	219
0	70	225
1	319	169
2	3264	169
0	8231	169

Stop Event

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

Counts

21 → 1 914

Calls

Call 1

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

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

eval697.0ms (6.6%)

Memory: -30.1MiB live, 893.3MiB allocated
Compiler: Compiled 78 291 to 5 417 computations (93.1% saved)

prune350.0ms (3.3%)

Memory

12.6MiB live, 775.7MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2 953	20	2 973
Fresh	15	0	15
Picked	4	1	5
Done	0	0	0
Total	2 972	21	2 993

Accuracy

100.0%

Counts

2 993 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 b a)))
	91.0%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 b a)) (.f64 (-.f64 b a) (PI.f64))) (.f64 b (.f64 a (+.f64 b a))))
	47.7%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
	64.0%	(/.f64 #s(approx (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	91.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 a (+.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
▶	99.6%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	91.8%	(.f64 (/.f64 (-.f64 b a) (.f64 b (.f64 a (-.f64 b a)))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	81.6%	(.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) b) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (+.f64 b a)) (-.f64 b a))))
	99.7%	(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
	69.4%	(.f64 (.f64 #s(approx (/ (- b a) (* b a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	73.3%	(.f64 (.f64 #s(approx (/ (- b a) (* b a)) (/.f64 #s(literal -1 binary64) b)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	65.7%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
	58.1%	#s(approx (/ (* (/ (PI) (* (- b a) (+ b a))) (- b a)) (* 2 (* b a))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) b) a))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (*.f64 a a) b)))
✓	64.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
▶	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
▶	64.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Compiler

Compiled 606 to 396 computations (34.7% saved)

simplify250.0ms (2.4%)

Memory

-62.4MiB live, 447.5MiB 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 #s(literal 1 binary64) (+.f64 b a))
✓	cost-diff	320	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 a b))
✓	cost-diff	0	#s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b)))
✓	cost-diff	0	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 a a))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	cost-diff	384	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a))))
✓	cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))
✓	cost-diff	0	(+.f64 b a)
✓	cost-diff	0	(/.f64 (+.f64 b a) (PI.f64))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (PI.f64)))

Rules

6 134×	`lower-fma.f64`
6 134×	`lower-fma.f32`
4 038×	`lower-*.f32`
4 018×	`lower-*.f64`
2 568×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	260
0	70	260
1	137	256
2	368	250
3	1100	244
4	3768	230
5	6697	230
0	8235	230

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.7%)

Memory

-1.1MiB live, 197.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 b a))
✓	accuracy	99.7%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (*.f64 b a))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
✓	accuracy	99.8%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 a b))
✓	accuracy	56.2%	#s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.2%	(/.f64 (PI.f64) (*.f64 a a))
✓	accuracy	84.7%	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	99.8%	(.f64 a (.f64 b a))
✓	accuracy	99.8%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a)))
✓	accuracy	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 b a))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (PI.f64))) (.f64 #s(literal 2 binary64) (.f64 b a)))
✓	accuracy	99.5%	(/.f64 (+.f64 b a) (PI.f64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) (PI.f64)))

Samples

92.0ms

256×

valid

Compiler

Compiled 230 to 42 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 25.0ms (34.6% of total)

ival-div: 23.0ms (31.8% of total)

ival-mult: 19.0ms (26.3% of total)

ival-sub: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Memory

30.3MiB live, 30.3MiB allocated

Counts

20 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

simplify370.0ms (3.5%)

Memory

-16.9MiB live, 570.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 996×	`lower-fma.f64`
7 996×	`lower-fma.f32`
4 720×	`lower-*.f64`
4 720×	`lower-*.f32`
2 698×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	5933
1	2063	5683
2	5550	5604
0	8418	5386

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 438

Calls

Call 1

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

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

rewrite387.0ms (3.7%)

Memory

53.7MiB live, 634.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 000×	`lower-/.f32`
4 980×	`lower-/.f64`
3 762×	`lower-*.f32`
3 742×	`lower-*.f64`
2 500×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	212
0	70	202
1	301	186
2	2705	186
0	8346	186

Stop Event

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

Counts

20 → 1 159

Calls

Call 1

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

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

eval429.0ms (4.1%)

Memory: -28.8MiB live, 454.4MiB allocated
Compiler: Compiled 34 148 to 3 531 computations (89.7% saved)

prune355.0ms (3.4%)

Memory

7.5MiB live, 321.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 845	13	1 858
Fresh	11	4	15
Picked	5	0	5
Done	0	1	1
Total	1 861	18	1 879

Accuracy

100.0%

Counts

1 879 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
▶	99.7%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
	99.2%	(/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 #s(literal 2 binary64) (*.f64 b a))))
	93.0%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) a) (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))))
	63.9%	(.f64 (/.f64 #s(approx (/ 1 (+ b a)) (/.f64 #s(literal 1 binary64) b)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	93.1%	(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (/.f64 (PI.f64) (+.f64 b a)) a))
	93.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (PI.f64) #s(literal 1/2 binary64)))
▶	65.7%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	64.0%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))
	58.1%	#s(approx (/ (/ 1 (/ (+ b a) (PI))) (* 2 (* b a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b b))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	64.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
▶	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a)))
	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a a))))
▶	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 464 to 312 computations (32.8% saved)

simplify450.0ms (4.2%)

Memory

-32.9MiB live, 237.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 838×	`lower-fma.f64`
5 838×	`lower-fma.f32`
3 678×	`lower-*.f32`
3 662×	`lower-*.f64`
3 038×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	287
0	70	287
1	125	283
2	271	283
3	730	277
4	2738	259
5	5928	259
0	8399	259

Stop Event

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

Calls

Call 1

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

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

localize403.0ms (3.8%)

Memory

2.5MiB live, 157.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
✓	accuracy	99.7%	(/.f64 (/.f64 (PI.f64) a) b)
✓	accuracy	99.6%	(/.f64 (PI.f64) a)
✓	accuracy	56.2%	#s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b))
✓	accuracy	99.8%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 a b))
✓	accuracy	56.2%	#s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b)))
✓	accuracy	49.7%	#s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a)
✓	accuracy	99.8%	(.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓	accuracy	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a)))
✓	accuracy	99.8%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))
✓	accuracy	84.8%	(.f64 (.f64 a a) b)
✓	accuracy	65.1%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 b a))
✓	accuracy	99.6%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))

Samples

219.0ms

256×

valid

Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 140.0ms (70% of total)

ival-div: 53.0ms (26.5% of total)

ival-sub: 3.0ms (1.5% of total)

ival-pi: 1.0ms (0.5% of total)

ival-add: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

19 → 420

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))>
#<alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))>
#<alt (PI.f64)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 b a))>
#<alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))>
#<alt (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b)))>
#<alt (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) b))>
#<alt (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b a)) a)>
#<alt #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a)))>
#<alt (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a))>
#<alt (.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))>
#<alt #s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b)))>
#<alt (/.f64 (PI.f64) (*.f64 a b))>
#<alt (/.f64 (/.f64 (PI.f64) a) b)>
#<alt (.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b)) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))>
#<alt #s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b))>
#<alt (/.f64 (PI.f64) a)>
#<alt (.f64 (.f64 a a) b)>
#<alt #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) 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 (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (* 1/2 (/ (PI) (* a b)))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (/ (PI) (* (pow a 2) b)))>
#<alt (/ (+ (* -1/2 (/ (* b (PI)) (pow a 3))) (* 1/2 (/ (PI) (pow a 2)))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* 1/2 (/ (* b (PI)) (pow a 4)))))) b)>
#<alt (/ (+ (* 1/2 (/ (PI) (pow a 2))) (* b (+ (* -1/2 (/ (PI) (pow a 3))) (* b (+ (* -1/2 (/ (* b (PI)) (pow a 5))) (* 1/2 (/ (PI) (pow a 4)))))))) b)>
#<alt (* 1/2 (/ (PI) (* a (pow b 2))))>
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#<alt (/ (PI) (* a b))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* a (- (* -1 (PI)) (PI))) (pow b 2))) (/ (PI) a))) (/ (PI) b)) b)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow a 2) (- (* -1 (PI)) (PI))) (pow b 3)))) (+ (/ (PI) b) (/ (* a (- (* -1 (PI)) (PI))) (pow b 2)))) b)>
#<alt (/ (PI) (* a b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (* -1 (PI)) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (* a (- (* -1 (PI)) (PI))) b))) (PI)) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (PI) a)) (* -1 (/ (- (+ (* -1 (PI)) (* -1 (/ (- (* -1 (/ (* (pow a 2) (- (* -1 (PI)) (PI))) b)) (* -1 (* a (- (* -1 (PI)) (PI))))) b))) (PI)) b))) b))>
#<alt (/ (PI) (* a b))>
#<alt (/ (+ (* a (- (* -1 (/ (PI) (pow b 2))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (/ (PI) (pow b 3)) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (/ (+ (* a (- (+ (* -1 (/ (PI) (pow b 2))) (* a (- (+ (* a (- (* -1 (/ (PI) (pow b 4))) (/ (PI) (pow b 4)))) (/ (PI) (pow b 3))) (* -1 (/ (PI) (pow b 3)))))) (/ (PI) (pow b 2)))) (/ (PI) b)) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (/ (PI) a)) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (* -1 (/ (* b (- (PI) (* -1 (PI)))) (pow a 2))) (/ (PI) a))) (* -1 (/ (PI) a))) a)>
#<alt (/ (- (+ (* -1 (/ (PI) b)) (+ (/ (PI) a) (/ (* (pow b 2) (- (PI) (* -1 (PI)))) (pow a 3)))) (+ (* -1 (/ (PI) a)) (/ (* b (- (PI) (* -1 (PI)))) (pow a 2)))) a)>
#<alt (* -1 (/ (PI) (* a b)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (PI) a)) (/ (PI) b)) (/ (PI) a)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (/ (* b (- (* -1 (PI)) (PI))) a)) a)) (/ (PI) b)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (PI)) (PI))) (* -1 (/ (+ (* -1 (* b (- (* -1 (PI)) (PI)))) (/ (* (pow b 2) (- (* -1 (PI)) (PI))) a)) a))) a)) (/ (PI) b)) a))>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (/ (PI) a)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<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 (/ a b)) (* -1/2 (/ (pow a 2) (pow b 2))))) 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 (/ b a)) 1/2) a)>
#<alt (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) (+ 1/2 (* 1/2 (/ b a)))) a)>
#<alt (/ (- (* -1/2 (/ (pow b 3) (pow a 3))) (+ 1/2 (+ (* 1/2 (/ b a)) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ b a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/2 (/ (pow b 2) a)) (* 1/2 b)) a))) a))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow b 3) a)) (* -1/2 (pow b 2))) a)) (* 1/2 b)) a))) a))>

Calls

105 calls:

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

simplify346.0ms (3.3%)

Memory

12.1MiB live, 648.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 346×	`lower-fma.f64`
12 346×	`lower-fma.f32`
4 812×	`lower-*.f64`
4 812×	`lower-*.f32`
3 396×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	413	5536
1	1189	5240
2	3229	5140
0	8229	4924

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite268.0ms (2.5%)

Memory

9.2MiB live, 528.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 174×	`lower-/.f32`
6 156×	`lower-/.f64`
3 260×	`lower-*.f32`
3 244×	`lower-*.f64`
2 462×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	237
0	70	233
1	278	217
2	2260	217
0	8321	217

Stop Event

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

Counts

19 → 631

Calls

Call 1

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

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

eval179.0ms (1.7%)

Memory: -12.2MiB live, 369.5MiB allocated
Compiler: Compiled 18 844 to 1 856 computations (90.2% saved)

prune122.0ms (1.2%)

Memory

-5.4MiB live, 284.4MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 251	4	1 255
Fresh	2	10	12
Picked	1	4	5
Done	0	1	1
Total	1 254	19	1 273

Accuracy

100.0%

Counts

1 273 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b a))
	47.7%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(approx (* (* b a) (* (- b a) (+ b a))) (.f64 a (.f64 b (*.f64 b b)))))
✓	99.7%	(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
	99.2%	(/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 #s(literal 2 binary64) (*.f64 b a))))
	93.0%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) a) (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))))
	63.9%	(.f64 (/.f64 #s(approx (/ 1 (+ b a)) (/.f64 #s(literal 1 binary64) b)) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	91.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 b a)))) (PI.f64))
	64.0%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) b) a)) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))
	64.0%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (/.f64 (PI.f64) a) b)) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))
✓	64.0%	(.f64 #s(approx ( (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b))) #s(approx (/ 1/2 (- b a)) (/.f64 #s(literal 1/2 binary64) b)))
	58.1%	#s(approx (/ (/ 1 (/ (+ b a) (PI))) (* 2 (* b a))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b b))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 b #s(literal 2 binary64))) a) a))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
✓	64.9%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 b a)) (/.f64 #s(literal 1/2 binary64) a)))
	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) (.f64 b a))))
✓	65.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) a)))
	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a a))))
✓	57.6%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) b))))

Compiler

Compiled 1 109 to 348 computations (68.6% saved)

regimes54.0ms (0.5%)

Memory

-2.9MiB live, 114.7MiB allocated

Counts

58 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes42.0ms (0.4%)

Memory

4.1MiB live, 42.2MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	a
9.0ms	b
8.0ms	(.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)

regimes18.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes32.0ms (0.3%)

Memory

-5.8MiB live, 32.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(.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)))
6.0ms	b
6.0ms	a

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes13.0ms (0.1%)

Memory

-18.5MiB live, 24.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	a
3.0ms	b
3.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
97.3%	2	`b`
99.2%	2	`a`
91.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes10.0ms (0.1%)

Memory

-9.3MiB live, 29.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.3%	2	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
86.6%	2	`b`
84.6%	2	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
64.9%	1	`a`
64.9%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

-20.1MiB live, 19.0MiB allocated

Accuracy

Total -4.7b remaining (-20.9%)

Threshold costs -4.7b (-20.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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)))
2.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
64.9%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
64.9%	1	`a`
64.9%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch17.0ms (0.2%)

Memory

8.0MiB live, 47.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-5.6119446866642064e+79	-2.880169930847791e+78

Samples

10.0ms

112×

valid

Compiler

Compiled 215 to 153 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (38.2% of total)

ival-mult: 3.0ms (38.2% of total)

ival-sub: 1.0ms (12.7% 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)

bsearch47.0ms (0.4%)

Memory

-20.6MiB live, 77.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	2.2060610450467037e-106	3.653125429241168e-97

Samples

20.0ms

144×

valid

Compiler

Compiled 260 to 182 computations (30% saved)

Precisions

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

ival-div: 4.0ms (45.1% of total)

ival-mult: 3.0ms (33.8% of total)

ival-pi: 1.0ms (11.3% of total)

ival-sub: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	218
1	71	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 #s(literal 2 binary64) (*.f64 b a))))
(if (<=.f64 a #s(literal -12600000000000000477258155461761616984343827125348247381392558461610710267854848 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 b #s(literal 6733741293329135/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

Outputs
(/.f64 (*.f64 (/.f64 (PI.f64) b) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b a))
(/.f64 (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b a))) (+.f64 b a))
(.f64 (/.f64 (PI.f64) (+.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 b a)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
(/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 #s(literal 2 binary64) (*.f64 b a))))
(/.f64 (PI.f64) (.f64 (+.f64 b a) (.f64 (*.f64 b a) #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -12600000000000000477258155461761616984343827125348247381392558461610710267854848 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a)))) (PI.f64)))
(if (<=.f64 a #s(literal -12600000000000000477258155461761616984343827125348247381392558461610710267854848 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a)))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a))))))
(if (<=.f64 b #s(literal 6733741293329135/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (.f64 a b)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
(if (<=.f64 b #s(literal 6733741293329135/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (.f64 b a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b a)))))

soundness798.0ms (7.5%)

Memory

17.1MiB live, 847.4MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`
6 692×	`lower-*.f64`
6 174×	`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	15	53
0	26	49
1	124	49
2	1123	49
0	9193	49
0	49	237
0	70	233
1	278	217
2	2260	217
0	8321	217
0	48	212
0	70	202
1	301	186
2	2705	186
0	8346	186
0	44	219
0	70	225
1	319	169
2	3264	169
0	8231	169

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 606 to 320 computations (47.2% saved)

preprocess78.0ms (0.7%)

Memory: -22.9MiB live, 171.9MiB allocated
Compiler: Compiled 380 to 176 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze128.0ms (1.2%)

sample1.3s (12.4%)

preprocess283.0ms (2.7%)

explain214.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify260.0ms (2.5%)

localize72.0ms (0.7%)

series13.0ms (0.1%)

simplify355.0ms (3.4%)

rewrite400.0ms (3.8%)

eval87.0ms (0.8%)

prune95.0ms (0.9%)

simplify288.0ms (2.7%)

localize130.0ms (1.2%)

series55.0ms (0.5%)

simplify557.0ms (5.3%)

rewrite389.0ms (3.7%)

eval697.0ms (6.6%)

prune350.0ms (3.3%)

simplify250.0ms (2.4%)

localize181.0ms (1.7%)

series19.0ms (0.2%)

simplify370.0ms (3.5%)

rewrite387.0ms (3.7%)

eval429.0ms (4.1%)

prune355.0ms (3.4%)

simplify450.0ms (4.2%)

localize403.0ms (3.8%)

series12.0ms (0.1%)

simplify346.0ms (3.3%)

rewrite268.0ms (2.5%)

eval179.0ms (1.7%)

prune122.0ms (1.2%)

regimes54.0ms (0.5%)

regimes42.0ms (0.4%)

regimes18.0ms (0.2%)

regimes32.0ms (0.3%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch47.0ms (0.4%)

simplify7.0ms (0.1%)

soundness798.0ms (7.5%)

preprocess78.0ms (0.7%)

end0.0ms (0%)

Profiling