Metrics for NMSE Section 6.1 mentioned, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze204.0ms (2%)

Memory

9.6MiB live, 286.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (11.7%)

Memory

40.6MiB live, 2 344.0MiB allocated

Samples

840.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 610.0ms

ival-div: 266.0ms (43.6% of total)

ival-mult: 206.0ms (33.8% of total)

ival-sub: 85.0ms (13.9% of total)

ival-pi: 37.0ms (6.1% of total)

exact: 8.0ms (1.3% of total)

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

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

Bogosity

explain188.0ms (1.9%)

Memory

23.2MiB live, 478.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	8	(-2.9705529275024615e-189 -7.772063629672955e+158)	`(.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)))`
11	-	0	-	`(-.f64 (.f64 b b) (.f64 a a))`
10	-	0	-	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`
0	-	0	-	`(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) b)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) a)`
0	-	0	-	`b`
0	-	0	-	`(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	34	0
`-.f64`	`(-.f64 (.f64 b b) (.f64 a a))`	nan-rescue	11	0
↳	`(*.f64 b b)`	overflow	65
↳	`(*.f64 a a)`	overflow	54
`/.f64`	`(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))`	n/o	10	0
↳	`(*.f64 b b)`	overflow	65
↳	`(*.f64 a a)`	overflow	54
↳	`(-.f64 (.f64 b b) (.f64 a a))`	overflow	108

Confusion

	Predicted +	Predicted -
+	54	3
-	1	198

Precision

0.9818181818181818

Recall

0.9473684210526315

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	3
-	1	0	198

Precision?

0.9818181818181818

Recall?

0.9473684210526315

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 181 to 49 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 19.0ms (45.4% of total)

ival-div: 15.0ms (35.8% of total)

ival-sub: 4.0ms (9.6% of total)

ival-pi: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess267.0ms (2.7%)

Memory

-33.7MiB live, 430.4MiB 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)

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify167.0ms (1.7%)

Memory

-3.9MiB live, 377.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize41.0ms (0.4%)

Memory

6.1MiB live, 100.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (*.f64 a a))))
accuracy	1.0577635447959246	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))
accuracy	2.292964621660412	(-.f64 (.f64 b b) (.f64 a a))
accuracy	8.982968505751236	(.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

26.0ms

256×

valid

Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (43.9% of total)

ival-mult: 6.0ms (37.6% of total)

ival-sub: 2.0ms (12.5% of total)

ival-pi: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-23.7MiB live, 22.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify259.0ms (2.6%)

Memory

22.0MiB live, 497.1MiB 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 b (.f64 (PI.f64) #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 b (.f64 (PI.f64) #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))
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(/.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))

rewrite312.0ms (3.1%)

Memory

40.0MiB live, 509.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 583

Calls

Call 1

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

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

eval101.0ms (1%)

Memory: -24.2MiB live, 221.2MiB allocated
Compiler: Compiled 22 466 to 2 045 computations (90.9% saved)

prune125.0ms (1.3%)

Memory

-28.9MiB live, 361.6MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

100.0%

Counts

680 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.3%	(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)))
▶	77.0%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
	73.7%	(/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))))
	84.0%	(/.f64 (.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))) (.f64 b a))
	71.8%	(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) (-.f64 b a)))) (.f64 (.f64 (fma.f64 b (neg.f64 b) (*.f64 a a)) b) a))
▶	84.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
	99.5%	(.f64 (/.f64 (/.f64 (-.f64 b a) (.f64 b a)) (-.f64 b a)) (/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)))
	85.8%	(.f64 (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 b a)) (-.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	76.9%	(.f64 (/.f64 (-.f64 b a) (.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 b a))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
	99.4%	(.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)))))
▶	99.5%	(.f64 (.f64 (/.f64 (-.f64 b a) (*.f64 b a)) (/.f64 (PI.f64) (+.f64 b a))) (/.f64 #s(literal 1/2 binary64) (-.f64 b a)))
▶	73.2%	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))))
	51.8%	(.f64 #s(approx ( (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (.f64 (PI.f64) (/.f64 #s(literal -1/2 binary64) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
	44.0%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) (+.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1/2 binary64) a))) (.f64 b b)))
	51.8%	#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)))
	49.3%	#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))))
▶	62.7%	#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 690 to 422 computations (38.8% saved)

simplify252.0ms (2.5%)

Memory

32.8MiB live, 403.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (+.f64 b a))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff	1408	(/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 b a)
cost-diff	0	(*.f64 (-.f64 b a) (PI.f64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a))))))
cost-diff	1024	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))))
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 b a)
cost-diff	0	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff	1024	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a))))
cost-diff	0	(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

5 836×	`lower-fma.f64`
5 836×	`lower-fma.f32`
5 654×	`lower-*.f32`
5 622×	`lower-*.f64`
3 034×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	351
0	71	347
1	169	345
2	730	297
3	4450	295
0	8105	295

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

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

localize204.0ms (2%)

Memory

-8.8MiB live, 407.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24929469115085304	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy	0.32421875	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	9.99606714253901	(/.f64 (.f64 (-.f64 b a) (+.f64 b a)) (.f64 (/.f64 (-.f64 b a) (.f64 b a)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
accuracy	13.900226069742855	(/.f64 (-.f64 b a) (*.f64 b a))
accuracy	0.26171875	(*.f64 (-.f64 b a) (PI.f64))
accuracy	3.3664441358371024	(.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))
accuracy	5.460242671431936	(.f64 a (.f64 #s(literal 2 binary64) (*.f64 (-.f64 b a) (+.f64 b a))))
accuracy	11.486716527172929	(.f64 (.f64 (-.f64 b a) (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 #s(literal 2 binary64) (.f64 (-.f64 b a) (+.f64 b a)))))))
accuracy	0.00390625	(*.f64 (-.f64 b a) (+.f64 b a))
accuracy	0.26171875	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	3.099761034350726	(.f64 (.f64 b a) (*.f64 (-.f64 b a) (+.f64 b a)))
accuracy	11.581838389298749	(/.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	0	(PI.f64)
accuracy	0.15625	(.f64 a (.f64 a b))
accuracy	0.16015625	(/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 a b)))
accuracy	23.735254225751135	#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	0.2109375	(.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	0.25390625	(.f64 (/.f64 (-.f64 b a) (.f64 b a)) (/.f64 (PI.f64) (+.f64 b a)))
accuracy	0.26953125	(/.f64 (PI.f64) (+.f64 b a))
accuracy	13.900226069742855	(/.f64 (-.f64 b a) (*.f64 b a))

Samples

80.0ms

256×

valid

Compiler

Compiled 343 to 44 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 30.0ms (54% of total)

ival-div: 19.0ms (34.2% of total)

ival-sub: 4.0ms (7.2% of total)

ival-pi: 1.0ms (1.8% of total)

ival-add: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.7%)

Memory

-33.7MiB live, 154.5MiB allocated

Counts

23 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(* (* b a) (* (- b a) (+ b a)))
2.0ms	a	@	0	(/ (* 1/2 (PI)) (* a (* a b)))
2.0ms	b	@	-inf	(/ 1 (* b (* a (* 2 (* (- b a) (+ b a))))))
2.0ms	b	@	0	(* a (* 2 (* (- b a) (+ b a))))
1.0ms	b	@	0	(* (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/ 1/2 (- b a)))

simplify282.0ms (2.8%)

Memory

42.5MiB live, 513.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 024×	`lower-fma.f64`
11 024×	`lower-fma.f32`
5 618×	`lower-*.f64`
5 618×	`lower-*.f32`
3 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	799	7143
1	2558	6437
0	8744	6165

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 477

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

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

rewrite336.0ms (3.4%)

Memory

-9.2MiB live, 662.7MiB allocated

Rules

5 716×	`lower-/.f32`
5 700×	`lower-/.f64`
3 992×	`lower-*.f32`
3 960×	`lower-*.f64`
1 886×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	259
0	71	253
1	325	205
2	3129	205
0	8752	205

Stop Event

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

Counts

23 → 2 309

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

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

eval601.0ms (6%)

Memory: 49.8MiB live, 1 264.3MiB allocated
Compiler: Compiled 108 929 to 8 339 computations (92.3% saved)

prune527.0ms (5.3%)

Memory

-21.3MiB live, 1 339.6MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	3 980	22	4 002
Fresh	12	0	12
Picked	4	1	5
Done	0	0	0
Total	3 996	23	4 019

Accuracy

100.0%

Counts

4 019 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b a) (PI.f64))) (*.f64 b a)) (-.f64 b a)) (+.f64 b a))
	92.5%	(/.f64 (/.f64 (.f64 (-.f64 b a) (PI.f64)) (.f64 b (.f64 a (+.f64 b a)))) (.f64 (-.f64 b a) #s(literal 2 binary64)))
▶	99.6%	(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	92.5%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
▶	80.0%	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (-.f64 b a) (.f64 b (*.f64 a (+.f64 b a)))))
	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a)))
	49.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (- b a) (+ b a)) (* (/ (- b a) (* b a)) (* (PI) 1/2))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))) (PI.f64))))
	92.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (+.f64 b a)))) (.f64 (PI.f64) #s(literal 1/2 binary64)))
	65.1%	(.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)))
▶	61.3%	(.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)))
	49.3%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
	62.7%	#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))
	56.5%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 a #s(literal 2 binary64))) a) b))
	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (PI.f64)) (.f64 b a)))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	62.7%	#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))))
	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (pow.f64 (/.f64 (.f64 b a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 a (PI.f64)) #s(literal -1 binary64))))
▶	55.8%	#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)))
	62.7%	#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))))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a a)) (/.f64 (PI.f64) b)))
	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (neg.f64 a))))))
▶	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))

Compiler

Compiled 648 to 430 computations (33.6% saved)

simplify327.0ms (3.3%)

Memory

-19.3MiB live, 395.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 770×	`lower-fma.f64`
6 770×	`lower-fma.f32`
4 274×	`lower-*.f32`
4 248×	`lower-*.f64`
2 458×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	271
0	72	263
1	146	259
2	440	243
3	1872	243
4	3949	243
5	6923	243
0	8317	243

Stop Event

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

Calls

Call 1

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

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

localize590.0ms (5.9%)

Memory

-2.2MiB live, 254.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (-.f64 b a) (.f64 b (*.f64 a (+.f64 b a))))
accuracy	0.26171875	(.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy	4.5526677348543805	(.f64 b (.f64 a (+.f64 b a)))
accuracy	11.581838389298749	(/.f64 (.f64 (-.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (-.f64 b a) (.f64 b (*.f64 a (+.f64 b a)))))
accuracy	0.015625	(/.f64 #s(literal 1/2 binary64) (-.f64 b a))
accuracy	0.2109375	(.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	0.2578125	(/.f64 (PI.f64) (*.f64 a b))
accuracy	30.436811629988018	#s(approx (* (/ (- b a) (* b a)) (/ (PI) (+ b a))) (/.f64 (PI.f64) (*.f64 a b)))
accuracy	0	(PI.f64)
accuracy	0.9778731972890725	(/.f64 (PI.f64) (*.f64 a a))
accuracy	7.830214243622639	(.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b))
accuracy	23.735254225751135	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (/.f64 (PI.f64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) b)))
accuracy	0.13671875	(/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a a)))
accuracy	0.17578125	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a))))
accuracy	8.478143108491592	(.f64 b (.f64 a a))
accuracy	23.735254225751135	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))
accuracy	0	(.f64 #s(literal 2 binary64) (.f64 b a))
accuracy	0	(PI.f64)
accuracy	0.21875	(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
accuracy	0.26953125	(/.f64 (PI.f64) (+.f64 b a))

Samples

254.0ms

256×

valid

Compiler

Compiled 241 to 42 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-sub: 155.0ms (70.6% of total)

ival-mult: 42.0ms (19.1% of total)

ival-div: 19.0ms (8.6% 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)

series49.0ms (0.5%)

Memory

18.4MiB live, 64.0MiB allocated

Counts

22 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
23.0ms	a	@	0	(/ 1/2 (- b a))
1.0ms	b	@	0	(/ 1/2 (* b (* a a)))
1.0ms	b	@	inf	(/ 1/2 (* b (* a a)))
1.0ms	a	@	inf	(/ 1/2 (* b (* a a)))
0.0ms	b	@	inf	(* 2 (* b a))

simplify247.0ms (2.5%)

Memory

8.3MiB live, 522.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 756×	`lower-fma.f64`
7 756×	`lower-fma.f32`
5 016×	`lower-*.f64`
5 016×	`lower-*.f32`
2 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	610	5928
1	1906	5635
2	5502	5550
0	8287	5323

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 459

Calls

Call 1

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

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

rewrite323.0ms (3.2%)

Memory

-20.6MiB live, 599.9MiB allocated

Rules

5 178×	`lower-/.f32`
5 162×	`lower-/.f64`
3 788×	`lower-*.f32`
3 762×	`lower-*.f64`
2 586×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	226
0	72	214
1	297	198
2	2644	198
0	8289	198

Stop Event

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

Counts

22 → 1 196

Calls

Call 1

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

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

eval252.0ms (2.5%)

Memory: 6.0MiB live, 588.0MiB allocated
Compiler: Compiled 43 109 to 3 771 computations (91.3% saved)

prune495.0ms (4.9%)

Memory

-24.3MiB live, 614.2MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 042	12	2 054
Fresh	11	6	17
Picked	4	1	5
Done	0	1	1
Total	2 057	20	2 077

Accuracy

100.0%

Counts

2 077 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.4%	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) a) b)
✓	99.6%	(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	91.1%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b (+.f64 b a))))
▶	99.5%	(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (neg.f64 (+.f64 b a))))
	57.8%	(/.f64 #s(approx (/ (PI) (+ b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a)))
	49.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (- b a) (+ b a)) (* (/ (- b a) (* b a)) (* (PI) 1/2))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))) (PI.f64))))
▶	91.1%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
	61.4%	(.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)))
	57.8%	(.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)))
	49.3%	#s(approx (/ (/ (PI) (+ b a)) (* 2 (* b a))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b)))))
	49.3%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
	62.7%	#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))
▶	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (.f64 a a)))
▶	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b (*.f64 a a))))
✓	62.7%	#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))))
	62.7%	#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))))
▶	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 485 to 329 computations (32.2% saved)

simplify158.0ms (1.6%)

Memory

41.6MiB live, 274.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (PI.f64) a)
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
cost-diff	384	(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
cost-diff	384	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
cost-diff	0	(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
cost-diff	384	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
cost-diff	0	(.f64 a (.f64 b (+.f64 b a)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b (+.f64 b a))))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
cost-diff	0	(PI.f64)
cost-diff	0	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
cost-diff	0	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
cost-diff	0	(PI.f64)
cost-diff	0	(neg.f64 (PI.f64))
cost-diff	128	(.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (neg.f64 (+.f64 b a)))
cost-diff	128	(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (neg.f64 (+.f64 b a))))

Rules

3 764×	`lower-fma.f64`
3 764×	`lower-fma.f32`
3 690×	`lower-*.f32`
3 668×	`lower-*.f64`
2 616×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	256
0	65	258
1	136	252
2	389	247
3	1578	244
4	5366	241
0	8197	241

Stop Event

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

Calls

Call 1

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

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

localize156.0ms (1.6%)

Memory

-22.5MiB live, 304.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a)
accuracy	0.23046875	(*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b))
accuracy	0.29296875	(/.f64 (PI.f64) a)
accuracy	23.735254225751135	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
accuracy	0	(PI.f64)
accuracy	0.1484375	(/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a)
accuracy	0.2578125	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a))
accuracy	23.735254225751135	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
accuracy	0.00390625	(*.f64 b (+.f64 b a))
accuracy	0.17578125	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
accuracy	0.26628103441685214	(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b (+.f64 b a))))
accuracy	5.524062142863265	(.f64 a (.f64 b (+.f64 b a)))
accuracy	0.13671875	(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a))
accuracy	0.15625	(.f64 (.f64 b a) a)
accuracy	0.17578125	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a)))
accuracy	23.735254225751135	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
accuracy	0	(neg.f64 (PI.f64))
accuracy	0	(PI.f64)
accuracy	0.12890625	(.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (neg.f64 (+.f64 b a)))
accuracy	0.276638441150853	(/.f64 (neg.f64 (PI.f64)) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (neg.f64 (+.f64 b a))))

Samples

107.0ms

256×

valid

Compiler

Compiled 228 to 40 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 54.0ms (62.4% of total)

ival-div: 23.0ms (26.6% of total)

ival-neg: 4.0ms (4.6% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

17.3MiB live, 59.0MiB allocated

Counts

20 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify392.0ms (3.9%)

Memory

-12.0MiB live, 564.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 798×	`lower-fma.f64`
13 798×	`lower-fma.f32`
6 230×	`lower-*.f64`
6 230×	`lower-*.f32`
2 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	4796
1	794	4740
2	2025	4712
3	5063	4464
0	8264	4292

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite291.0ms (2.9%)

Memory

5.9MiB live, 578.7MiB allocated

Rules

5 426×	`lower-/.f32`
5 412×	`lower-/.f64`
4 134×	`lower-*.f32`
4 112×	`lower-*.f64`
2 508×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	210
0	65	206
1	265	202
2	2189	202
0	8545	202

Stop Event

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

Counts

20 → 1 151

Calls

Call 1

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

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

eval277.0ms (2.8%)

Memory: 7.4MiB live, 542.6MiB allocated
Compiler: Compiled 25 728 to 2 445 computations (90.5% saved)

prune249.0ms (2.5%)

Memory

0.3MiB live, 616.0MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	1 718	5	1 723
Fresh	2	11	13
Picked	1	4	5
Done	0	2	2
Total	1 721	22	1 743

Accuracy

100.0%

Counts

1 743 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.4%	(/.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (+.f64 b a)) #s(literal 1/2 binary64)) a) b)
✓	99.6%	(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	91.1%	(/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 a (*.f64 b (+.f64 b a))))
	99.5%	(/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
	57.8%	(/.f64 #s(approx (/ (PI) (+ b a)) (/.f64 (PI.f64) b)) (.f64 #s(literal 2 binary64) (.f64 b a)))
	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b a) (.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 b a)))
	49.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (- b a) (+ b a)) (* (/ (- b a) (* b a)) (* (PI) 1/2))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a (*.f64 b b))) (PI.f64))))
	91.0%	(.f64 (/.f64 (PI.f64) (.f64 b (+.f64 a b))) (/.f64 #s(literal 1/2 binary64) a))
	92.5%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a (+.f64 a b)))) (PI.f64))
✓	91.1%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
	49.3%	(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a #s(approx (* b (+ b a)) (*.f64 b b)))))
	61.4%	(.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)))
	57.8%	(.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)))
	49.3%	#s(approx (/ (* (- b a) (* (PI) 1/2)) (* (* b a) (* (- b a) (+ b a)))) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 a (*.f64 b b)))))
	55.8%	#s(approx (/ (neg (PI)) (* (* a (* b 2)) (neg (+ b a)))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 b (*.f64 a a))))
	62.7%	#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))
✓	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 b a)) a))
	55.8%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (/.f64 (PI.f64) (.f64 b #s(literal 2 binary64))) (.f64 a a)))
✓	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (*.f64 (/.f64 (PI.f64) a) (/.f64 #s(literal 1/2 binary64) b)) a))
✓	62.7%	#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))))
	62.7%	#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))))
✓	62.7%	#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))

Compiler

Compiled 1 069 to 379 computations (64.5% saved)

regimes54.0ms (0.5%)

Memory

-24.1MiB live, 138.8MiB allocated

Counts

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

Outputs
(/.f64 (/.f64 (PI.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)))
17.0ms	b
16.0ms	a

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes24.0ms (0.2%)

Memory

8.2MiB live, 55.4MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	b
8.0ms	a
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
99.5%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
99.5%	1	`a`
99.5%	1	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes14.0ms (0.1%)

Memory

-13.1MiB live, 37.0MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

5.0ms	a
4.0ms	b
4.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
99.5%	2	`a`
99.5%	2	`b`
92.5%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes12.0ms (0.1%)

Memory

34.9MiB live, 34.9MiB allocated

Counts

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

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

Calls

3 calls:

4.0ms	a
4.0ms	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
91.1%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
91.1%	1	`b`
91.1%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes12.0ms (0.1%)

Memory

-18.2MiB live, 29.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

4.0ms	b
3.0ms	a
3.0ms	(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Results

Accuracy	Segments	Branch
68.6%	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)))`
85.4%	2	`a`
80.2%	2	`b`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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 b (*.f64 a a)))))

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.7%	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)))`
62.7%	1	`b`
62.7%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.8%	1	`b`
55.8%	1	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`
55.8%	1	`a`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch55.0ms (0.5%)

Memory

-13.9MiB live, 33.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
52.0ms	-1.6114501200157742e+124	-6.07494938994929e+121

Samples

47.0ms

128×

valid

Compiler

Compiled 242 to 172 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 40.0ms (89.9% of total)

ival-mult: 3.0ms (6.7% of total)

ival-sub: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

-0.5MiB live, 46.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-6.463952297148419e-137	-9.429373573763114e-147

Samples

23.0ms

160×

valid

Compiler

Compiled 286 to 200 computations (30.1% saved)

Precisions

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

ival-mult: 13.0ms (66.9% of total)

ival-div: 4.0ms (20.6% of total)

ival-pi: 1.0ms (5.1% of total)

ival-sub: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

-27.8MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	207
1	77	207

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
(/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
(if (<=.f64 a #s(literal -750000000000000019978455154394241438316622548029582235789102318689366447968801344749165936546887652883864991315224497750016 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 a b)))) (PI.f64)))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
(if (<=.f64 a #s(literal -6703903964971299/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (*.f64 a a)))))

Outputs
(/.f64 (/.f64 (PI.f64) (+.f64 b a)) (.f64 #s(literal 2 binary64) (.f64 b a)))
(/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (+.f64 a b)))
(/.f64 (PI.f64) (.f64 (.f64 a (*.f64 b #s(literal 2 binary64))) (+.f64 b a)))
(if (<=.f64 a #s(literal -750000000000000019978455154394241438316622548029582235789102318689366447968801344749165936546887652883864991315224497750016 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 a b)))) (PI.f64)))
(if (<=.f64 a #s(literal -750000000000000019978455154394241438316622548029582235789102318689366447968801344749165936546887652883864991315224497750016 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 b a))))))
(.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b (+.f64 b a)))))
(if (<=.f64 a #s(literal -6703903964971299/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b a) a)))) #s(approx ( (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (/.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 a (*.f64 b b)))))
(if (<=.f64 a #s(literal -6703903964971299/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 binary64)) #s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b a))))) #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 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 b a) a))))
#s(approx (* (* (/ (PI) 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) (.f64 (PI.f64) (/.f64 #s(literal 1/2 binary64) (.f64 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 b (*.f64 a a)))))

soundness751.0ms (7.5%)

Memory

31.0MiB live, 932.3MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
6 700×	`lower-*.f32`
6 692×	`lower-*.f64`
5 734×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	226
0	72	214
1	297	198
2	2644	198
0	8289	198
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	42	210
0	65	206
1	265	202
2	2189	202
0	8545	202
0	44	259
0	71	253
1	325	205
2	3129	205
0	8752	205

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×	node limit
1×	iter limit

Compiler

Compiled 474 to 270 computations (43% saved)

preprocess73.0ms (0.7%)

Memory: -11.5MiB live, 137.3MiB allocated
Remove: (sort a b)
Compiler: Compiled 332 to 162 computations (51.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze204.0ms (2%)

sample1.2s (11.7%)

explain188.0ms (1.9%)

preprocess267.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify167.0ms (1.7%)

localize41.0ms (0.4%)

series23.0ms (0.2%)

simplify259.0ms (2.6%)

rewrite312.0ms (3.1%)

eval101.0ms (1%)

prune125.0ms (1.3%)

simplify252.0ms (2.5%)

localize204.0ms (2%)

series73.0ms (0.7%)

simplify282.0ms (2.8%)

rewrite336.0ms (3.4%)

eval601.0ms (6%)

prune527.0ms (5.3%)

simplify327.0ms (3.3%)

localize590.0ms (5.9%)

series49.0ms (0.5%)

simplify247.0ms (2.5%)

rewrite323.0ms (3.2%)

eval252.0ms (2.5%)

prune495.0ms (4.9%)

simplify158.0ms (1.6%)

localize156.0ms (1.6%)

series26.0ms (0.3%)

simplify392.0ms (3.9%)

rewrite291.0ms (2.9%)

eval277.0ms (2.8%)

prune249.0ms (2.5%)

regimes54.0ms (0.5%)

regimes24.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch55.0ms (0.5%)

bsearch32.0ms (0.3%)

simplify9.0ms (0.1%)

soundness751.0ms (7.5%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling