Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.8s (20.8%)

Memory

-48.4MiB live, 1 664.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-mult: 388.0ms (45.5% of total)

ival-add: 277.0ms (32.4% of total)

ival-sub: 87.0ms (10.2% of total)

ival-pow2: 81.0ms (9.5% of total)

exact: 11.0ms (1.3% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain292.0ms (3.4%)

Memory

-17.4MiB live, 669.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
38	-	0	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
11	-	2	(3.356010696983887e+57 -8.79138482500679e-159)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	-	0	-	`b`
0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`	nan-rescue	43	0
↳	`(*.f64 b b)`	overflow	69
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	150
↳	`(*.f64 a a)`	overflow	66
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	116
↳	`(*.f64 b b)`	overflow	69
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	80
↳	`(*.f64 a a)`	overflow	66
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	87
↳	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	overflow	129
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`	overflow	129
`+.f64`	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	nan-rescue	38	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	80
↳	`(*.f64 a a)`	overflow	66
↳	`(*.f64 b b)`	overflow	69
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	87

Confusion

	Predicted +	Predicted -
+	62	0
-	0	194

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	0	0	194

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	194
1	43
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	474×	0	valid
7.0ms	20×	2	valid
4.0ms	18×	1	valid

Compiler

Compiled 337 to 61 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 22.0ms (47% of total)

ival-add: 10.0ms (21.4% of total)

ival-pow2: 6.0ms (12.8% of total)

ival-sub: 5.0ms (10.7% of total)

adjust: 2.0ms (4.3% of total)

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

exact: 1.0ms (2.1% of total)

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

preprocess243.0ms (2.8%)

Memory

24.4MiB live, 290.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21 268×	`lower-fma.f64`
21 268×	`lower-fma.f32`
4 248×	`lower--.f32`
4 244×	`lower--.f64`
3 998×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	159
1	171	157
2	671	155
3	2845	155
4	6808	155
0	19	31
0	32	31
1	70	31
2	188	31
3	587	31
4	1955	31
5	3491	31
0	8062	26

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))

Symmetry

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

75.7%

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify233.0ms (2.7%)

Memory

-1.7MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Rules

21 268×	`lower-fma.f64`
21 268×	`lower-fma.f32`
4 248×	`lower--.f32`
4 244×	`lower--.f64`
3 998×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	151
0	32	151
1	70	151
2	188	151
3	587	151
4	1955	151
5	3491	151
0	8062	130

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (.f64 b b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (.f64 a a) (.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (.f64 b b))
(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize82.0ms (0.9%)

Memory

-23.7MiB live, 137.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	2.1829767189304428	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	8.539023280773913	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy	8.578125000000002	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

39.0ms	237×	0	valid
27.0ms	10×	2	valid
2.0ms	9×	1	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 26.0ms (52.9% of total)

ival-mult: 13.0ms (26.5% of total)

ival-add: 6.0ms (12.2% of total)

ival-pow2: 3.0ms (6.1% of total)

adjust: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (1.1%)

Memory

-18.8MiB live, 28.0MiB allocated

Counts

6 → 132

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
1.0ms	a	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))

simplify209.0ms (2.4%)

Memory

16.8MiB live, 125.2MiB allocated

Algorithm

1×	egg-herbie

Rules

23 442×	`lower-fma.f64`
23 442×	`lower-fma.f32`
4 536×	`lower-+.f64`
4 536×	`lower-+.f32`
4 408×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	1722
1	565	1702
2	1718	1666
3	5157	1616
0	8239	1442

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(* (pow a 2) (+ 1 a))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (/ 1 a)))
(* -3 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))

Outputs
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- 1 (* 3 a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (fma.f64 (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 a #s(literal 4 binary64))) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (.f64 b b) (fma.f64 (.f64 (fma.f64 a #s(literal 4 binary64) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (.f64 b b) a) a (.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 (fma.f64 b b (.f64 (.f64 a a) #s(literal 2 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (fma.f64 (/.f64 (.f64 b #s(literal 2 binary64)) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -3 (* a (pow b 2)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (/.f64 (.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* -3 (* a (pow b 2)))
(.f64 (.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (/.f64 (.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))

rewrite223.0ms (2.6%)

Memory

15.9MiB live, 135.0MiB allocated

Rules

8 020×	`lower-fma.f64`
8 020×	`lower-fma.f32`
4 744×	`lower-*.f32`
4 732×	`lower-*.f64`
3 290×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
0	30	78
1	128	78
2	1075	78
0	8435	63

Stop Event

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

Counts

6 → 506

Calls

Call 1

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

Outputs
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eval157.0ms (1.8%)

Memory: -9.8MiB live, 117.5MiB allocated
Compiler: Compiled 35 393 to 2 760 computations (92.2% saved)

prune25.0ms (0.3%)

Memory

7.1MiB live, 43.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	633	6	639

Accuracy

100.0%

Counts

639 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	99.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
	70.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
▶	69.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶	71.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	70.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))

Compiler

Compiled 202 to 140 computations (30.7% saved)

simplify227.0ms (2.6%)

Memory

13.8MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 a #s(literal 4 binary64))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	640	(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	640	(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))

Rules

24 894×	`lower-fma.f32`
24 876×	`lower-fma.f64`
3 442×	`lower--.f32`
3 432×	`lower--.f64`
3 120×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	734
0	76	724
1	161	724
2	401	703
3	1289	692
4	3609	692
5	5343	692
6	7717	692
0	8029	626

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))))
b
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
b
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
b
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a)))
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
a
#s(literal 1 binary64)
#s(literal 4 binary64)
(.f64 (.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
#s(literal 2 binary64)
b
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 a a))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize143.0ms (1.6%)

Memory

-4.7MiB live, 200.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 a #s(literal 4 binary64))
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	32.50319191959975	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0078125	(.f64 (.f64 a a) #s(literal 2 binary64))
accuracy	0.08431625976844201	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy	1.936711167007653	(.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b)
accuracy	6.672867440306659	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
accuracy	0	(*.f64 b b)
accuracy	0.00390625	(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
accuracy	2.218385400396494	(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
accuracy	23.89010634693411	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
accuracy	0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
accuracy	0.08431625976844201	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy	26.371809177890004	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy	0.0078125	(.f64 (.f64 a a) #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
accuracy	0.08431625976844201	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy	1.928898667007653	(.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b)

Samples

97.0ms	237×	0	valid
8.0ms	10×	2	valid
5.0ms	9×	1	valid

Compiler

Compiled 611 to 44 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-add: 43.0ms (50.5% of total)

ival-mult: 26.0ms (30.5% of total)

ival-pow2: 6.0ms (7% of total)

ival-pow: 4.0ms (4.7% of total)

adjust: 3.0ms (3.5% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series51.0ms (0.6%)

Memory

-12.6MiB live, 67.6MiB allocated

Counts

22 → 444

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) (patch (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (patch (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 a #s(literal 4 binary64)) (patch (pow.f64 a #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) (patch (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) #s(literal 2 binary64)) (patch (.f64 (.f64 a a) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) (taylor 0 b) (#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (* -12 a) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))))) (taylor -inf a) (#s(alt (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	b	@	0	((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b))
4.0ms	a	@	-inf	((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b))
3.0ms	b	@	inf	((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b))
3.0ms	a	@	inf	((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b))
3.0ms	b	@	-inf	((+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* b b) (+ (* b b) (+ (* -12 a) 4))) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow a 4) (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (+ (* (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) b) (* (* a a) (+ (* a a) (+ (* a 4) 4)))) (* (* a a) 2) (* a a) (+ (* b b) (+ (* -12 a) 4)) (* (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2)) b))

simplify184.0ms (2.1%)

Memory

-10.0MiB live, 178.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 292×	`lower-fma.f64`
16 292×	`lower-fma.f32`
4 294×	`lower-+.f64`
4 294×	`lower-+.f32`
4 020×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	8516
1	819	8139
2	2452	7500
3	6749	7414
0	8208	6662

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(+ 4 (* -12 a))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2))) 1)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(+ 4 (* a (- (* 2 a) 12)))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -12 (* a (pow b 2)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -12 a)
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))

Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(* (pow b 2) (+ 4 (* -12 a)))
(.f64 (.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(* b (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2))))
(.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
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(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -12 (* a (pow b 2)))
(.f64 (.f64 #s(literal -12 binary64) (*.f64 b b)) a)
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 2 (* (pow a 2) b))
(.f64 (.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(.f64 (.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(* 2 (pow a 2))
(.f64 (.f64 a a) #s(literal 2 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* 2 (* (pow a 2) b))
(.f64 (.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(.f64 (.f64 (*.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 b a) #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) b)) a)) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 b a) #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) b)) a)) a) a)

rewrite188.0ms (2.2%)

Memory

21.6MiB live, 178.0MiB allocated

Rules

4 942×	`lower-*.f32`
4 928×	`lower-*.f64`
4 902×	`lower-fma.f32`
4 884×	`lower-fma.f64`
3 382×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	589
0	76	579
1	375	579
2	3357	579
0	8909	520

Stop Event

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

Counts

22 → 370

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(.f64 (.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b)

Outputs
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eval151.0ms (1.7%)

Memory: -8.4MiB live, 265.6MiB allocated
Compiler: Compiled 35 513 to 2 629 computations (92.6% saved)

prune30.0ms (0.3%)

Memory

17.1MiB live, 92.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	1 104	8	1 112
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	1 110	8	1 118

Accuracy

100.0%

Counts

1 118 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
▶	69.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶	54.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	89.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
▶	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	43.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))

Compiler

Compiled 216 to 160 computations (25.9% saved)

simplify254.0ms (2.9%)

Memory

-3.6MiB live, 214.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 b #s(literal 4 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
cost-diff	192	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	192	(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
cost-diff	832	(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
cost-diff	832	(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
cost-diff	-5504	(.f64 (.f64 a a) (*.f64 a a))
cost-diff	0	(*.f64 a a)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a)))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
cost-diff	0	(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

Rules

24 386×	`lower-fma.f32`
24 366×	`lower-fma.f64`
3 682×	`lower-*.f32`
3 664×	`lower-*.f64`
3 424×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	754
0	103	753
1	201	732
2	458	694
3	1421	694
4	4118	682
5	6651	667
0	8210	625

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
b
#s(literal 2 binary64)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
(*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)))
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 12 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)

Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
a
#s(literal 4 binary64)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a))
(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(.f64 (.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64)))
(.f64 (.f64 a a) (*.f64 a a))
(pow.f64 a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) a (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) b)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) a) #s(literal -2 binary64)) b)
b
#s(literal 2 binary64)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
(/.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b) a)
(*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)))
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 12 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)

localize131.0ms (1.5%)

Memory

-16.3MiB live, 183.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 b #s(literal 4 binary64))
accuracy	35.63982179289338	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
accuracy	1.0378457553151006	(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
accuracy	1.7737518198945317	(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
accuracy	3.5152778815732453	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	6.228569123601596	(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.11328125	(.f64 (.f64 a a) (*.f64 a a))
accuracy	32.50319191959975	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0	(*.f64 a a)
accuracy	0.08431625976844201	(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
accuracy	26.371809177890004	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
accuracy	29.053743743543606	#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy	1.936711167007653	(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
accuracy	3.0121342012283483	(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	6.672867443472235	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

Samples

89.0ms	249×	0	valid
4.0ms	4×	2	valid
3.0ms	3×	1	valid

Compiler

Compiled 573 to 62 computations (89.2% saved)

Precisions

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

ival-mult: 35.0ms (48.8% of total)

ival-add: 20.0ms (27.9% of total)

ival-pow: 4.0ms (5.6% of total)

ival-div: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

ival-pow2: 3.0ms (4.2% of total)

adjust: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series47.0ms (0.5%)

Memory

26.0MiB live, 63.7MiB allocated

Counts

22 → 432

Calls

Call 1

Inputs
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) (patch (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))) (patch (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (.f64 a a))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (.f64 a a))) (patch #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) (.f64 a a)) (patch (.f64 (.f64 a a) (.f64 a a)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) (patch (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) (patch (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 b #s(literal 4 binary64)) (patch (pow.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2)))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) b)) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -12 (/ b a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ 4 (pow b 2)) a) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -12 (/ b a)) (taylor -inf a) (#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (taylor -inf a) (#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (* a a)) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow b 4) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a))
5.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (* a a)) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow b 4) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a))
4.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (* a a)) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow b 4) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a))
4.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (* a a)) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow b 4) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a))
3.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* a a) (* a a)) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow b 4) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a))

simplify210.0ms (2.4%)

Memory

-10.7MiB live, 177.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 816×	`lower-fma.f64`
18 816×	`lower-fma.f32`
6 376×	`lower-+.f64`
6 376×	`lower-+.f32`
4 818×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	7524
1	992	7217
2	3131	6917
0	8266	6322

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
-1
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(/ (* b (- (* 4 (/ 1 a)) 12)) a)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) a)
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 3)
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(/ (pow b 3) a)
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* -12 (/ b a))
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* -12 (/ b a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))

Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(.f64 (.f64 (*.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(.f64 (.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (* a (- (* 2 a) 12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ 4 (* a (- (* 2 a) 12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ 4 (* a (- (* 2 a) 12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(* b (+ 4 (* a (- (* 2 a) 12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(/ 4 a)
(/.f64 #s(literal 4 binary64) a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a))
(/ (* b (- (* 4 (/ 1 a)) 12)) a)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) b)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)) b)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)) b)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (fma.f64 (.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (fma.f64 (.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
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(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(* -12 (/ b a))
(*.f64 (/.f64 b a) #s(literal -12 binary64))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))

rewrite228.0ms (2.6%)

Memory

-11.3MiB live, 202.4MiB allocated

Rules

5 548×	`lower-*.f32`
5 532×	`lower-*.f64`
4 590×	`lower-fma.f32`
4 572×	`lower-fma.f64`
2 926×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	421
0	84	414
1	397	401
2	3322	401
0	8561	365

Stop Event

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

Counts

22 → 378

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)

Outputs
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eval125.0ms (1.4%)

Memory: 8.8MiB live, 277.4MiB allocated
Compiler: Compiled 27 801 to 2 829 computations (89.8% saved)

prune30.0ms (0.4%)

Memory

2.0MiB live, 84.7MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	872	7	879
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	875	12	887

Accuracy

100.0%

Counts

887 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
▶	83.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
✓	69.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	54.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
▶	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
▶	89.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
✓	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	43.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
▶	55.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
	67.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 b b)) #s(literal 4 binary64))) (*.f64 b b))))

Compiler

Compiled 351 to 251 computations (28.5% saved)

simplify243.0ms (2.8%)

Memory

-10.7MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	832	(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff	192	(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
cost-diff	832	(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
cost-diff	832	(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
cost-diff	0	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (+ a 4) a) 4) (*.f64 a a))
cost-diff	0	(.f64 #s(approx (+ ( (+ a 4) a) 4) (*.f64 a a)) a)
cost-diff	0	(fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

Rules

27 836×	`lower-fma.f32`
27 810×	`lower-fma.f64`
3 750×	`lower-+.f32`
3 748×	`lower-+.f64`
3 624×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1215
0	147	1215
1	270	1202
2	566	1147
3	1570	1147
4	4610	1105
5	7717	1074
0	8255	1015

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (+ a 4) a) 4) (*.f64 a a)) a)
#s(approx (+ (* (+ a 4) a) 4) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
#s(literal 4 binary64)
b
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
b
#s(literal 2 binary64)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
(*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)))
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 12 binary64)
(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(*.f64 a a)
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a))
(.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)
#s(approx (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b))
(.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)
(fma.f64 (/.f64 b a) b (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a))
(/.f64 b a)
b
a
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))
(/.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 2 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) (.f64 a a)) (.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) (.f64 a a)) (.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (+ a 4) a) 4) (*.f64 a a)) a)
(.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 a a)) a)
#s(approx (+ (* (+ a 4) a) 4) (*.f64 a a))
#s(approx (+ (* a a) (+ (* a 4) 4)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))
#s(literal 2 binary64)
#s(literal -12 binary64)
#s(literal 4 binary64)
b
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)) b (.f64 (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) b)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) a (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) b)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) a) #s(literal -2 binary64)) b)
b
#s(literal 2 binary64)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
(*.f64 (/.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) a) b)
(*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)))
(*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) b)
(-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 12 binary64)
(.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))
(.f64 (.f64 #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) a) a)
(*.f64 a a)
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)) b (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)) b (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)) b (.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a))
#s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a))
(.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)
(.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))) a)
#s(approx (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b))
#s(approx (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)))
(.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)
(fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a))
(fma.f64 (/.f64 b a) b (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a))
(fma.f64 (/.f64 b a) b (-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)))
(/.f64 b a)
b
a
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)
(-.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal -2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64))
(/.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal 2 binary64)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 a a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 1 binary64)

localize173.0ms (2%)

Memory

17.1MiB live, 299.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
accuracy	0.08431625976844201	(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy	1.0378457553151006	(.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)
accuracy	14.014698260587048	(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)
accuracy	1.7737518198945317	(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
accuracy	3.5152778815732453	(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
accuracy	6.228569123601596	(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
accuracy	29.053743743543606	#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0234375	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	0.04296875	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	18.440164430182495	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy	0	(*.f64 b b)
accuracy	0.00390625	(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	6.672867443472235	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
accuracy	22.588647857990978	#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	1.936711167007653	(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
accuracy	3.0121342012283483	(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	6.672867443472235	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
accuracy	33.16484498992503	#s(approx (+ (* (+ a 4) a) 4) (*.f64 a a))

Samples

111.0ms	249×	0	valid
4.0ms	4×	2	valid
3.0ms	3×	1	valid

Compiler

Compiled 764 to 74 computations (90.3% saved)

Precisions

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

ival-mult: 44.0ms (50.8% of total)

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

ival-div: 9.0ms (10.4% of total)

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

ival-pow2: 3.0ms (3.5% of total)

adjust: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

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

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

series58.0ms (0.7%)

Memory

-20.6MiB live, 98.0MiB allocated

Counts

28 → 528

Calls

Call 1

Inputs
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) (patch (.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ a 4) a) 4) (.f64 a a)) (patch #s(approx (+ ( (+ a 4) a) 4) (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (+ ( (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 b b #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) (patch (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) (patch (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) #<representation binary64>) () ())
#s(alt (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) (patch (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a) (patch (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (patch (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) (patch (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a) (patch (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) (patch (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #<representation binary64>) () ())

Outputs
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (+ ( (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (+ ( (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (+ ( (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (patch #s(approx (+ ( (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 4 (pow b 2)) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 b) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 4 (pow b 2))) (taylor 0 b) (#s(alt (.f64 (fma.f64 b b #s(literal 4 binary64)) b) (patch (.f64 (fma.f64 b b #s(literal 4 binary64)) b) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) (patch (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a) #<representation binary64>) () ())) ())
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#s(alt (pow a 4) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -12 a) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) (patch (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 12 (* 4 (/ 1 a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) (patch (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 12 (* 4 (/ 1 a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) (patch (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 12 (* 4 (/ 1 a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) (patch (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (+ (/ (- (/ 4 a) 12) a) 2) a) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (/ (- (/ 4 a) 12) a))
7.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (+ (/ (- (/ 4 a) 12) a) 2) a) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (/ (- (/ 4 a) 12) a))
3.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (+ (/ (- (/ 4 a) 12) a) 2) a) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (/ (- (/ 4 a) 12) a))
3.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (+ (/ (- (/ 4 a) 12) a) 2) a) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (/ (- (/ 4 a) 12) a))
2.0ms	a	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (* (+ (* (+ a 4) a) 4) a) (+ (* (+ a 4) a) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (+ (* (* b b) 4) -1) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (* (+ (/ (- (/ 4 a) 12) a) 2) a) (+ (* a a) (+ (* a 4) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (* (+ (* (+ (* 2 a) -12) a) 4) b) (+ (* a a) (+ (* a 4) 4)) (/ (+ (* b b) 4) a) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a) (* (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) a) (* (* a a) (+ (* a a) (+ (* a 4) 4))) (/ (- (/ 4 a) 12) a))

simplify273.0ms (3.1%)

Memory

25.7MiB live, 304.9MiB allocated

Algorithm

1×	egg-herbie

Rules

21 992×	`lower-fma.f64`
21 992×	`lower-fma.f32`
6 624×	`lower-+.f64`
6 624×	`lower-+.f32`
4 936×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	8958
1	1091	8584
2	3386	8204
0	8088	7431

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
-1
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(- (* 4 (pow b 2)) 1)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
-1
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(- (* (pow b 2) (+ 4 (* a (- (* 2 a) 12)))) 1)
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ 4 a)
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(+ (* 4 (/ 1 a)) (/ (pow b 2) a))
(/ (* b (- (* 4 (/ 1 a)) 12)) a)
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* b (- (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2))) (* 12 (/ 1 a))))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) a)
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ (/ 1 a) (/ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))) (/ 12 (* a (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(* (pow b 3) (- (+ (/ 1 (pow a 2)) (/ 4 (* (pow a 2) (pow b 2)))) (/ 12 (* a (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (+ (* a (- (* 2 a) 12)) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 (pow b 2))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(* (pow b 2) (- 4 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(/ (pow b 3) a)
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(* -1 (* (pow b 3) (- (/ (* a (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) (/ 1 a))))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 4 (* a (- (* 2 a) 12))) (/ 1 (pow b 2))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(* b (+ 4 (* a (- (* 2 a) 12))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (pow b 2))))))
(/ (pow b 3) (pow a 2))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a))) (pow b 2))) (/ 1 (pow a 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (- (* 4 (/ 1 (pow a 2))) (* 12 (/ 1 a)))) 2)) (pow b 2)) 1)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(* a (+ 4 (* a (+ 4 a))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(/ (* b (+ 4 (pow b 2))) a)
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) a)
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2)))) (pow a 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(/ 4 a)
(/ (+ 4 (* -12 a)) a)
(/ (+ 4 (* a (- (* 2 a) 12))) a)
(/ (+ 4 (* a (- (* 2 a) 12))) a)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(* 4 b)
(+ (* -12 (* a b)) (* 4 b))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
(+ (* 4 b) (* a (+ (* -12 b) (* 2 (* a b)))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (* b (+ 4 (pow b 2))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(/ (+ (* -12 (* a b)) (* b (+ 4 (pow b 2)))) (pow a 2))
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(+ (* a (+ (* -12 b) (* 2 (* a b)))) (* b (+ 4 (pow b 2))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(/ 4 (pow a 2))
(/ (+ 4 (* -12 a)) (pow a 2))
(/ (+ 4 (* -12 a)) (pow a 2))
(/ (+ 4 (* -12 a)) (pow a 2))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* -12 (/ b a)) (* 2 b)))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* a (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 a)
(* a (- 2 (* 12 (/ 1 a))))
(* a (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* a (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (* 4 (/ b (pow a 2))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* -12 (/ b a))
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ b a)) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ -12 a)
(/ (- (* 4 (/ 1 a)) 12) a)
(/ (- (* 4 (/ 1 a)) 12) a)
(/ (- (* 4 (/ 1 a)) 12) a)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* 12 (/ b a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)) a)))))
(* 2 b)
(+ (* -12 (/ b a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 a)
(* -1 (* a (- (* 12 (/ 1 a)) 2)))
(* -1 (* a (- (* -1 (/ (- (* 4 (/ 1 a)) 12) a)) 2)))
(* -1 (* a (- (* -1 (/ (- (* 4 (/ 1 a)) 12) a)) 2)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(/ (+ 4 (pow b 2)) a)
(* -12 (/ b a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(/ -12 a)
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))

Outputs
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ 4 (* a (- (* 2 a) 12))))) 1)
(fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (.f64 b b) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(* (pow a 2) (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(.f64 (.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b) a) a)
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* b (+ (* (pow a 2) (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (pow b 2)))
(fma.f64 (.f64 (.f64 b a) a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* a (* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b) a)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (.f64 b b) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (.f64 b b) a)) b)
(* b (+ (* a (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a)))) (/ (pow b 2) a)))
(.f64 (fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a (/.f64 (.f64 b b) a)) b)
(* b (- (+ 2 (* 4 (/ 1 (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(* b (- (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64))) b)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
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(.f64 (.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (/ b a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 b a) (*.f64 #s(literal 12 binary64) b)) (neg.f64 a))) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 (/.f64 #s(literal 4 binary64) a) a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (.f64 a a))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (.f64 a a))
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/ (+ 4 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(* -12 (/ b a))
(*.f64 (/.f64 b a) #s(literal -12 binary64))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a))
(/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))
(* 2 (* (pow a 2) b))
(.f64 (.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ b a)) (* 2 b)))
(.f64 (.f64 b (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))) a) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b)) a)) (* 2 b)))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a))) (neg.f64 a))) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ -12 a)
(/.f64 #s(literal -12 binary64) a)
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(* -1 (/ (- 12 (* 4 (/ 1 a))) a))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)

rewrite223.0ms (2.6%)

Memory

-10.7MiB live, 219.8MiB allocated

Rules

6 822×	`lower-fma.f32`
6 796×	`lower-fma.f64`
5 510×	`lower-*.f32`
5 484×	`lower-*.f64`
2 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	736
0	147	736
1	633	729
2	5504	729
0	8450	676

Stop Event

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

Counts

28 → 415

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (+ a 4) a) 4) (*.f64 a a)) a)
#s(approx (+ (* (+ a 4) a) 4) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)
(.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a)
(fma.f64 b #s(literal 2 binary64) (/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)
(fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b)
#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(/.f64 (*.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)
(.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)
(.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)

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eval199.0ms (2.3%)

Memory: 9.8MiB live, 363.4MiB allocated
Compiler: Compiled 31 096 to 3 659 computations (88.2% saved)

prune34.0ms (0.4%)

Memory

-7.8MiB live, 117.9MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	964	8	972
Fresh	2	2	4
Picked	3	2	5
Done	0	3	3
Total	969	15	984

Accuracy

100.0%

Counts

984 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
✓	69.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓	54.6%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
	70.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
✓	71.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
	56.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))
	69.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
	70.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	43.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
	67.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
✓	55.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
	29.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
	27.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

Compiler

Compiled 685 to 297 computations (56.6% saved)

regimes46.0ms (0.5%)

Memory

5.2MiB live, 84.9MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 b b)) #s(literal 4 binary64))) (*.f64 b b))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 b (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64))) a)) a) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a) #s(literal 2 binary64)) a)) b)) a)) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Outputs

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

Calls

5 calls:

10.0ms	a
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
9.0ms	b
8.0ms	(*.f64 b b)
7.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes32.0ms (0.4%)

Memory

-13.8MiB live, 65.0MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))

Outputs

(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (*.f64 #s(approx (* (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (*.f64 (fma.f64 (/.f64 b a) b #s(approx (* (+ (/ (- (/ 4 a) 12) a) 2) a) (*.f64 #s(literal 2 binary64) a))) b)) a)) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))

Calls

5 calls:

7.0ms	a
7.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
6.0ms	b
6.0ms	(*.f64 b b)
5.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.2%	1	`a`
98.2%	1	`b`
98.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
98.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
98.2%	1	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes30.0ms (0.3%)

Memory

28.2MiB live, 67.7MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64))) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

Calls

5 calls:

7.0ms	b
6.0ms	a
6.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
5.0ms	(*.f64 b b)
5.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.5%	3	`a`
95.7%	2	`b`
89.5%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
89.5%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
95.7%	2	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

-27.2MiB live, 14.5MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (*.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b) a))))

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (*.f64 (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b) a))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`a`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-3.1MiB live, 36.6MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))

Calls

3 calls:

5.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.3%	2	`b`
95.3%	2	`(*.f64 b b)`
96.5%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes11.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) (*.f64 a a))) #s(literal 1 binary64))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))

Calls

3 calls:

4.0ms	b
3.0ms	a
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.4%	3	`a`
94.7%	2	`b`
94.7%	2	`(*.f64 b b)`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes10.0ms (0.1%)

Memory

-15.9MiB live, 23.8MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* (+ a 4) a) 4) (*.f64 a a)) a) a #s(approx (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))

Calls

3 calls:

3.0ms	a
3.0ms	(*.f64 b b)
3.0ms	b

Results

Accuracy	Segments	Branch
94.7%	2	`b`
94.7%	2	`(*.f64 b b)`
95.8%	3	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes14.0ms (0.2%)

Memory

5.8MiB live, 45.6MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))

Outputs

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

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

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

Calls

5 calls:

3.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
3.0ms	a
3.0ms	b
2.0ms	(*.f64 b b)
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
74.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
74.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
85.7%	3	`a`
83.4%	2	`b`
83.4%	2	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))

Outputs

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))

Calls

3 calls:

2.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
83.4%	2	`b`
83.4%	2	`(*.f64 b b)`
76.4%	4	`a`

Compiler

Compiled 5 to 7 computations (-40% saved)

regimes12.0ms (0.1%)

Memory

-36.9MiB live, 16.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

Calls

4 calls:

5.0ms	b
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	(*.f64 b b)
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
64.4%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
64.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
74.1%	2	`b`
74.1%	2	`(*.f64 b b)`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes10.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))

Calls

5 calls:

2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	a
2.0ms	b
2.0ms	(*.f64 b b)
2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
55.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
55.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
55.9%	1	`a`
55.9%	1	`b`
55.9%	1	`(*.f64 b b)`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes9.0ms (0.1%)

Memory

-21.9MiB live, 17.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))

Calls

5 calls:

2.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	b
2.0ms	a
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
55.9%	2	`b`
56.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
56.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
55.9%	2	`(*.f64 b b)`
40.8%	3	`a`

Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

Outputs

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

Calls

5 calls:

1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
1.0ms	b
1.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms	a
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
27.9%	1	`a`
27.9%	1	`b`
27.9%	1	`(*.f64 b b)`
27.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
27.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`

Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch44.0ms (0.5%)

Memory

-17.6MiB live, 60.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.469322340178866e-54	2.138071439765762e-52
22.0ms	-28.325584585061296	-5.741315111079394e-6

Samples

26.0ms

256×

valid

Compiler

Compiled 562 to 423 computations (24.7% saved)

Precisions

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

ival-mult: 9.0ms (45.5% of total)

ival-add: 4.0ms (20.2% of total)

ival-pow2: 4.0ms (20.2% of total)

ival-sub: 2.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Memory

24.8MiB live, 66.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0417672493259935e-10	12915120.111182354
17.0ms	-1.812513709478019e+26	-8.45772759163102e+21

Samples

29.0ms

288×

valid

Compiler

Compiled 556 to 437 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.8% of total)

ival-add: 5.0ms (22.6% of total)

ival-pow2: 3.0ms (13.6% of total)

ival-sub: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.68665433390747e+132	6.771156008091467e+133

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch39.0ms (0.5%)

Memory

-20.7MiB live, 56.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5021841355.415117	34773539574.31066
20.0ms	-7.9802910561646e+34	-2.3587718242385227e+32

Samples

21.0ms

224×

valid

Compiler

Compiled 328 to 289 computations (11.9% saved)

Precisions

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

ival-mult: 8.0ms (51% of total)

ival-add: 4.0ms (25.5% of total)

ival-sub: 2.0ms (12.8% of total)

ival-pow2: 2.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.68665433390747e+132	6.771156008091467e+133

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch41.0ms (0.5%)

Memory

16.7MiB live, 55.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.6496114965270543e+134	1.2830189440724016e+141
15.0ms	-9.000475265710493e+135	-7.484913391390351e+133

Samples

26.0ms

256×

valid

Compiler

Compiled 338 to 327 computations (3.3% saved)

Precisions

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

ival-mult: 9.0ms (45.7% of total)

ival-add: 6.0ms (30.5% of total)

ival-sub: 2.0ms (10.2% of total)

ival-pow2: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

-17.7MiB live, 25.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	21860239652.946896	139107716032012.52

Samples

11.0ms

128×

valid

Compiler

Compiled 136 to 143 computations (-5.1% saved)

Precisions

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

ival-mult: 4.0ms (48.4% of total)

ival-add: 2.0ms (24.2% of total)

ival-sub: 1.0ms (12.1% of total)

ival-pow2: 1.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.660981759025022e+290	2.2210742421427242e+290

Samples

4.0ms

48×

valid

Compiler

Compiled 77 to 77 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (33% of total)

ival-mult: 1.0ms (33% of total)

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

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

exact: 0.0ms (0% of total)

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

ival-pow2: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7847103835124834e-16	556049.9564003699

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify61.0ms (0.7%)

Memory

-1.0MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`-commutative-binary64-.f64`
30×	`+-commutative-binary64-+.f64`
16×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1562
1	217	1562
2	232	1562
3	247	1562
4	251	1562
5	252	1562

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -112986307451471/4611686018427387904 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 2830794400050817/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -8500000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a)))) (if (<=.f64 a #s(literal 95 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 a #s(literal -239999999999999991261511079165952 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 19000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 a #s(literal -9000000000000000140639069717629819331527962777055792799828473266575312292249530567457154519639075036376824346250632034053646097343053824 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1250000000000000063527856050374609963098886181063729973556151003608995214301544033759798546569245023911370035930722729291411822143558547144704 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 31000000000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 219999999999999996268968179877295722665291836267446314418622447566908905749711229581308178629022060015043659932577344555585524588905111028207300548023372218193708778366552084675481573394991659939007077891400189513490597831094544040671291376437574185950102088031821609470195473169412993843200 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 (.f64 a a) #s(literal 2 binary64)))) b) b (.f64 (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(approx (* (+ (* b b) (+ (* (+ (* -3 a) 1) 4) (* (* a a) 2))) b) (.f64 #s(approx ( (+ (* b 2) (/ (* b (- (/ (+ (* b b) 4) a) 12)) a)) a) (.f64 (fma.f64 (/.f64 b a) b #s(approx ( (+ (/ (- (/ 4 a) 12) a) 2) a) (.f64 #s(literal 2 binary64) a))) b)) a)) b (.f64 (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -112986307451471/4611686018427387904 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 2830794400050817/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -112986307451471/4611686018427387904 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 2830794400050817/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b #s(literal -1 binary64))))))
(if (<=.f64 a #s(literal -8500000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a)))) (if (<=.f64 a #s(literal 95 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) (.f64 (.f64 (.f64 (.f64 b a) #s(literal 2 binary64)) b) a))))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 a #s(literal -239999999999999991261511079165952 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64)))) (if (<=.f64 a #s(literal 19000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64))))))
(if (<=.f64 (.f64 b b) #s(literal 10000000000000000223511723594768599335098409300973759560478836428900264860242343595976203511843100595010152570837624953702918544949248 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( (+ a 4) a) 4) (.f64 a a)) a) a #s(approx (+ ( (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 a #s(literal -9000000000000000140639069717629819331527962777055792799828473266575312292249530567457154519639075036376824346250632034053646097343053824 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1250000000000000063527856050374609963098886181063729973556151003608995214301544033759798546569245023911370035930722729291411822143558547144704 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -9000000000000000140639069717629819331527962777055792799828473266575312292249530567457154519639075036376824346250632034053646097343053824 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 1250000000000000063527856050374609963098886181063729973556151003608995214301544033759798546569245023911370035930722729291411822143558547144704 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) 4) (.f64 b b)) b) b #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 31000000000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 31000000000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 b b) #s(literal 219999999999999996268968179877295722665291836267446314418622447566908905749711229581308178629022060015043659932577344555585524588905111028207300548023372218193708778366552084675481573394991659939007077891400189513490597831094544040671291376437574185950102088031821609470195473169412993843200 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 a a) #s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 219999999999999996268968179877295722665291836267446314418622447566908905749711229581308178629022060015043659932577344555585524588905111028207300548023372218193708778366552084675481573394991659939007077891400189513490597831094544040671291376437574185950102088031821609470195473169412993843200 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)) (.f64 b b)) (.f64 (+.f64 #s(literal 1 binary64) a) (.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64))) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ a 4) a) 4) a) a) (+ (* (* (+ (* (+ (* 2 a) -12) a) 4) b) b) -1)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))

soundness1.5s (17.6%)

Memory

31.1MiB live, 699.2MiB allocated

Rules

23 442×	`lower-fma.f64`
23 442×	`lower-fma.f32`
21 992×	`lower-fma.f64`
21 992×	`lower-fma.f32`
18 816×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	7524
1	992	7217
2	3131	6917
0	8266	6322
0	345	8958
1	1091	8584
2	3386	8204
0	8088	7431
0	175	1722
1	565	1702
2	1718	1666
3	5157	1616
0	8239	1442
0	248	8516
1	819	8139
2	2452	7500
3	6749	7414
0	8208	6662
0	54	421
0	84	414
1	397	401
2	3322	401
0	8561	365

Stop Event

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

Compiler

Compiled 558 to 327 computations (41.4% saved)

preprocess103.0ms (1.2%)

Memory: -26.7MiB live, 169.7MiB allocated
Remove: (abs b)
Compiler: Compiled 1 078 to 400 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (20.8%)

explain292.0ms (3.4%)

preprocess243.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify233.0ms (2.7%)

localize82.0ms (0.9%)

series98.0ms (1.1%)

simplify209.0ms (2.4%)

rewrite223.0ms (2.6%)

eval157.0ms (1.8%)

prune25.0ms (0.3%)

simplify227.0ms (2.6%)

localize143.0ms (1.6%)

series51.0ms (0.6%)

simplify184.0ms (2.1%)

rewrite188.0ms (2.2%)

eval151.0ms (1.7%)

prune30.0ms (0.3%)

simplify254.0ms (2.9%)

localize131.0ms (1.5%)

series47.0ms (0.5%)

simplify210.0ms (2.4%)

rewrite228.0ms (2.6%)

eval125.0ms (1.4%)

prune30.0ms (0.4%)

simplify243.0ms (2.8%)

localize173.0ms (2%)

series58.0ms (0.7%)

simplify273.0ms (3.1%)

rewrite223.0ms (2.6%)

eval199.0ms (2.3%)

prune34.0ms (0.4%)

regimes46.0ms (0.5%)

regimes32.0ms (0.4%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch44.0ms (0.5%)

bsearch46.0ms (0.5%)

bsearch0.0ms (0%)

bsearch39.0ms (0.5%)

bsearch0.0ms (0%)

bsearch41.0ms (0.5%)

bsearch27.0ms (0.3%)

bsearch8.0ms (0.1%)

bsearch0.0ms (0%)

simplify61.0ms (0.7%)

soundness1.5s (17.6%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling