Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.5s (15.7%)

Memory

12.4MiB live, 2 139.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 852.0ms

ival-mult: 394.0ms (46.3% of total)

ival-add: 174.0ms (20.4% of total)

ival-pow2: 137.0ms (16.1% of total)

ival-sub: 126.0ms (14.8% of total)

exact: 12.0ms (1.4% of total)

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

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

Bogosity

explain452.0ms (4.8%)

Memory

-23.5MiB live, 435.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
44	-	-	`(+.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	-	-	`(+.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))))`
13	-	-	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	-	`(*.f64 a a)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	-	`a`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 b b)`
0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	-	`#s(literal 2 binary64)`
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	-	-	`b`
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	-	-	`(*.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	44	0
↳	`(*.f64 b b)`	overflow	60
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	152
↳	`(*.f64 a a)`	overflow	64
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	107
↳	`(*.f64 b b)`	overflow	60
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	78
↳	`(*.f64 a a)`	overflow	64
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	80
↳	`(+.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	120
↳	`(.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	120
`+.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	78
↳	`(*.f64 a a)`	overflow	64
↳	`(*.f64 b b)`	overflow	60
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	80

Confusion

	Predicted +	Predicted -
+	64	0
-	0	192

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	0	0	192

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	192
1	46
2	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

124.0ms	492×	0	valid
3.0ms	14×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 339 to 61 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-pow2: 73.0ms (68.2% of total)

ival-mult: 18.0ms (16.8% of total)

ival-add: 9.0ms (8.4% of total)

ival-sub: 5.0ms (4.7% of total)

adjust: 1.0ms (0.9% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

preprocess567.0ms (6.1%)

Memory

38.5MiB live, 313.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 634×	`lower-fma.f64`
10 634×	`lower-fma.f32`
2 124×	`lower--.f32`
2 122×	`lower--.f64`
1 999×	`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 (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))

Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.9%	(-.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

▶

74.9%

(-.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 33 to 19 computations (42.4% saved)

simplify577.0ms (6.2%)

Memory

-35.7MiB live, 243.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(-.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))
cost-diff	256	(+.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))))))
cost-diff	5440	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Rules

10 634×	`lower-fma.f64`
10 634×	`lower-fma.f32`
2 124×	`lower--.f32`
2 122×	`lower--.f64`
1 999×	`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 (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 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 (.f64 b (+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))) b (.f64 (.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)))
(+.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)

localize52.0ms (0.6%)

Memory

17.3MiB live, 93.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.109375	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	3.0858065088072677	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	8.499962844943706	(+.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	8.777343750000002	(+.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

28.0ms	246×	0	valid
3.0ms	7×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (48% of total)

ival-add: 5.0ms (24% of total)

ival-pow2: 3.0ms (14.4% of total)

ival-sub: 2.0ms (9.6% of total)

adjust: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-6.4MiB live, 30.6MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#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 (+.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 (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)) (patch (-.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)) #<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 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>) () ())

Outputs
#s(alt (pow b 4) (taylor 0 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 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 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 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 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 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 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) (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>) () ())) ())
#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>) () ())) ())
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#s(alt (pow b 2) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 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 (* -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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (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 (* -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>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
1.0ms	a	@	inf	(pow (+ (* a a) (* b b)) 2)
1.0ms	b	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	0	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

simplify271.0ms (2.9%)

Memory

-8.4MiB live, 338.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 024×	`lower-fma.f64`
11 024×	`lower-fma.f32`
2 140×	`lower-*.f64`
2 140×	`lower-*.f32`
1 979×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	2332
1	600	2246
2	1837	2184
3	5819	2098
0	8170	1858

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite257.0ms (2.7%)

Memory

-1.3MiB live, 427.4MiB allocated

Rules

2 810×	`lower-fma.f64`
2 810×	`lower-fma.f32`
2 033×	`lower-/.f64`
2 033×	`lower-/.f32`
1 988×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	102
0	32	102
1	145	102
2	1259	102
0	8258	82

Stop Event

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

Counts

6 → 540

Calls

Call 1

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

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

eval144.0ms (1.5%)

Memory: 19.9MiB live, 262.2MiB allocated
Compiler: Compiled 60 088 to 2 567 computations (95.7% saved)

prune94.0ms (1%)

Memory

-3.7MiB live, 193.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	677	7	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	678	7	685

Accuracy

100.0%

Counts

685 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.3%	(-.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a)) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) #s(literal 4 binary64)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64))
▶	99.5%	#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 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
▶	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
	54.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) a)) a)) (.f64 (.f64 (*.f64 a a) a) a)))
▶	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
▶	45.3%	#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)))

Compiler

Compiled 588 to 176 computations (70.1% saved)

simplify254.0ms (2.7%)

Memory

12.2MiB live, 327.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.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	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (*.f64 b b) (fma.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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) a)
cost-diff	0	(.f64 (.f64 (*.f64 a a) a) a)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (*.f64 b b))
cost-diff	0	#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)))
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 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.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	320	(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))
cost-diff	320	(fma.f64 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b)))

Rules

13 333×	`lower-fma.f32`
13 324×	`lower-fma.f64`
2 380×	`lower-+.f64`
2 380×	`lower-+.f32`
1 619×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	412
0	66	407
1	149	397
2	363	384
3	1214	380
4	3981	380
5	6124	380
0	8602	344

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

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

localize121.0ms (1.3%)

Memory

0.0MiB live, 160.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.0625	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	19.314742638632467	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.04296875	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	19.427355072103317	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.08203125	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	0.10546875	(.f64 (.f64 a a) a)
accuracy	34.53612491255694	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
accuracy	0	(*.f64 b b)
accuracy	0.11328125	(.f64 (.f64 b b) (*.f64 b b))
accuracy	35.02040731888471	#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)))
accuracy	0.015625	(fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0.0625	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	0.24999724760556022	(fma.f64 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b)))
accuracy	3.308228558278166	(.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b)

Samples

71.0ms	246×	0	valid
6.0ms	7×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 375 to 44 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 25.0ms (41.2% of total)

ival-add: 21.0ms (34.6% of total)

ival-pow2: 10.0ms (16.5% of total)

ival-sub: 2.0ms (3.3% of total)

adjust: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series31.0ms (0.3%)

Memory

1.2MiB live, 39.5MiB allocated

Counts

19 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
1.0ms	a	@	inf	(+ (* (* a 2) a) (+ (* (+ (* -3 a) 1) 4) (* b b)))
0.0ms	b	@	inf	(+ (* (* (+ (* (* a 2) a) (+ (* (+ (* -3 a) 1) 4) (* b b))) b) b) (+ (* (* a a) (+ (* a a) (+ (* a 4) 4))) -1))
0.0ms	b	@	0	(+ (* (* a 2) a) (+ (* (+ (* -3 a) 1) 4) (* b b)))
0.0ms	a	@	inf	(* (+ (* (* a 2) a) (+ (* (+ (* -3 a) 1) 4) (* b b))) b)

simplify210.0ms (2.2%)

Memory

-30.6MiB live, 250.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 022×	`lower-fma.f64`
8 022×	`lower-fma.f32`
2 352×	`lower-+.f64`
2 352×	`lower-+.f32`
1 811×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	5370
1	821	5144
2	2452	4786
3	6837	4658
0	8216	4155

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite244.0ms (2.6%)

Memory

10.0MiB live, 209.0MiB allocated

Rules

2 617×	`lower-*.f32`
2 610×	`lower-*.f64`
2 298×	`lower-fma.f32`
2 289×	`lower-fma.f64`
1 705×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	355
0	66	340
1	319	332
2	2879	332
0	8785	302

Stop Event

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

Counts

19 → 311

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (*.f64 #s(literal 2 binary64) a) a))))))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 2 binary64) a) a)))) (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))))) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))) (.f64 (.f64 (.f64 b b) b) b)) (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 2 binary64) a) a)))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))) (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 2 binary64) a) a))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 2 binary64) a) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (neg.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 2 binary64) a) a)))) (fma.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(fma.f64 (.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))
(fma.f64 b b (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) a)))
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 b b (.f64 (.f64 #s(literal 2 binary64) a) a)))
(fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))
(fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))
(fma.f64 a (.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)))) (/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)))))
(+.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 b b)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b)))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 b b (.f64 (*.f64 #s(literal 2 binary64) a) a)))
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b)) (.f64 (*.f64 #s(literal 2 binary64) a) a))
(+.f64 (.f64 b b) (fma.f64 (.f64 #s(literal 2 binary64) a) a (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b))))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))))))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b)) (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b)) (.f64 (.f64 (.f64 b b) b) b))) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64))) (-.f64 (.f64 b b) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b)))) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b))) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b)))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (.f64 b b) b) b (-.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) b) b))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b)) (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (neg.f64 b) (.f64 (.f64 b b) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 b b (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) #s(literal 16 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (*.f64 b b))))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))) (.f64 b b))
(+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 a a))))))
(pow.f64 (/.f64 (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 a a)))) (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (*.f64 a a)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)))) (.f64 (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (-.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 a a)))
(/.f64 (fma.f64 (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64)))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 64 binary64)) (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) (neg.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 a a)))) (fma.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (*.f64 a a)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal 16 binary64) (.f64 a a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))) (.f64 a a))
(fma.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64))))) (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) a) (*.f64 a a))
(fma.f64 #s(literal 4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))
(+.f64 (.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (.f64 a a)))
(+.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(+.f64 #s(literal 4 binary64) (*.f64 a (+.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) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b (fma.f64 (.f64 a a) (fma.f64 a (+.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) (.f64 (.f64 (*.f64 b b) b) b))
(.f64 (.f64 (*.f64 b b) b) b)
(.f64 (.f64 b b) (*.f64 b b))
(.f64 b (.f64 (*.f64 b b) b))
(pow.f64 (.f64 (.f64 (*.f64 b b) b) b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
(.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 1 binary64))
(.f64 (.f64 (*.f64 a a) a) a)
(.f64 (.f64 a a) (*.f64 a a))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))
(.f64 a (.f64 (*.f64 a a) a))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 (*.f64 a a) a))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 a a) a) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 a a) a) #s(literal 1 binary64))
(.f64 (.f64 a a) a)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))
(.f64 a (.f64 a a))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 a #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (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 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b) (.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)))
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(fma.f64 b (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b) b) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b #s(literal -1 binary64)) (.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 (fma.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b)) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b)))
(+.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (.f64 b b))) b) b) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b))
(+.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b)))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 a a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))))
(.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal 16 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) a))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64)))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))) (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) a))
(/.f64 (.f64 (fma.f64 (.f64 a a) a #s(literal 1 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 #s(literal 16 binary64) (.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (*.f64 a #s(literal 16 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64)) (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 16 binary64) (*.f64 a a) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (.f64 a #s(literal 16 binary64)))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a) #s(literal 64 binary64))))
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))))
(+.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) a))

eval210.0ms (2.2%)

Memory: -1.8MiB live, 151.6MiB allocated
Compiler: Compiled 30 295 to 1 296 computations (95.7% saved)

prune174.0ms (1.9%)

Memory

9.3MiB live, 135.6MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	850	12	862
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	854	15	869

Accuracy

100.0%

Counts

869 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))
	69.6%	#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)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
✓	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	50.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)))
▶	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
	51.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	45.3%	#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)))
	46.0%	#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)))
▶	45.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	45.3%	#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)))
	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
▶	24.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 362 to 188 computations (48.1% saved)

simplify280.0ms (3%)

Memory

-9.1MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #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 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) b)
cost-diff	0	(.f64 (.f64 (*.f64 b b) b) b)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
cost-diff	0	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #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) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.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	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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.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	704	(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))

Rules

11 536×	`lower-fma.f32`
11 527×	`lower-fma.f64`
2 015×	`lower--.f64`
2 015×	`lower--.f32`
1 829×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	522
0	87	522
1	180	516
2	410	497
3	1204	497
4	3527	497
5	5489	497
0	8622	441

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

localize237.0ms (2.5%)

Memory

-22.4MiB live, 123.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 (+.f64 a #s(literal 4 binary64)) a)
accuracy	0.0625	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64))
accuracy	19.314742638632467	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
accuracy	30.22979890530415	#s(approx (+ (* a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a))
accuracy	0	(*.f64 b b)
accuracy	0.05859375	(.f64 (.f64 (*.f64 b b) b) b)
accuracy	0.09375	(.f64 (.f64 b b) b)
accuracy	35.02040731888471	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
accuracy	0	(*.f64 b b)
accuracy	0.04296875	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	19.427355072103317	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	30.806038590929006	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy	19.427355072103317	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy	32.059783653054374	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy	0.07421875	(fma.f64 (/.f64 b a) b #s(literal -12 binary64))
accuracy	0.24999724760556022	(fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
accuracy	3.308228558278166	(.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b)
accuracy	3.989498063793373	(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))

Samples

85.0ms	252×	0	valid
1.0ms	2×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 391 to 51 computations (87% saved)

Precisions

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

ival-mult: 39.0ms (55.9% of total)

ival-add: 16.0ms (22.9% of total)

ival-pow2: 9.0ms (12.9% of total)

ival-div: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% 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)

series25.0ms (0.3%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

21 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(+ (* (+ (* (/ b a) b) -12) a) 4)
1.0ms	b	@	inf	(+ (* (+ (* (/ b a) b) -12) a) 4)
0.0ms	b	@	0	(+ (* (+ (* (/ b a) b) -12) a) 4)
0.0ms	a	@	0	(+ (* (+ (* (/ b a) b) -12) a) 4)
0.0ms	a	@	-inf	(* (+ a 4) a)

simplify257.0ms (2.7%)

Memory

5.4MiB live, 159.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 781×	`lower-fma.f64`
7 781×	`lower-fma.f32`
2 405×	`lower-+.f64`
2 405×	`lower-+.f32`
1 726×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	5866
1	834	5642
2	2482	5304
3	6935	5166
0	8173	4640

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

rewrite246.0ms (2.6%)

Memory

-9.5MiB live, 298.6MiB allocated

Rules

2 746×	`lower-*.f32`
2 739×	`lower-*.f64`
2 618×	`lower-fma.f32`
2 609×	`lower-fma.f64`
1 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	456
0	87	450
1	408	446
2	3479	446
0	8582	395

Stop Event

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

Counts

21 → 257

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64))))))
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(/.f64 (-.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) a)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a)))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) a)) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a))) (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) a)) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) a)) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))) (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 a a) a)))))
(fma.f64 (.f64 #s(literal 2 binary64) a) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 a a) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 (.f64 a a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 a (.f64 #s(literal 2 binary64) a) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))) (/.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) a) a) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(+.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (*.f64 a a)) #s(literal 144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) b #s(literal 12 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (.f64 (*.f64 (/.f64 b a) b) #s(literal -12 binary64)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 12 binary64)) (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (.f64 (.f64 (/.f64 b a) b) #s(literal -12 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 144 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a))) (-.f64 #s(literal -12 binary64) (*.f64 (/.f64 b a) b)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64))) (neg.f64 (fma.f64 (/.f64 b a) b #s(literal 12 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (.f64 (.f64 (/.f64 b a) b) #s(literal -12 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (fma.f64 (/.f64 b a) b #s(literal 12 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64)) (+.f64 #s(literal 144 binary64) (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 (/.f64 b a) b)) (.f64 (*.f64 b b) #s(literal -12 binary64))) a)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64)) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (.f64 (.f64 (/.f64 b a) b) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b #s(literal 12 binary64)) (-.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) #s(literal 144 binary64)) (.f64 (.f64 (/.f64 b a) b) #s(literal -12 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b) #s(literal -1728 binary64))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) a) #s(literal -12 binary64))
(fma.f64 (/.f64 b a) b #s(literal -12 binary64))
(fma.f64 b (/.f64 b a) #s(literal -12 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 a a)) (fma.f64 (/.f64 b a) b #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 (/.f64 b a) b #s(literal 12 binary64))))
(+.f64 (*.f64 (/.f64 b a) b) #s(literal -12 binary64))
(+.f64 #s(literal -12 binary64) (*.f64 (/.f64 b a) b))
(*.f64 (+.f64 #s(literal 4 binary64) a) a)
(*.f64 a (+.f64 #s(literal 4 binary64) a))
(/.f64 (*.f64 (fma.f64 a a #s(literal -16 binary64)) a) (-.f64 a #s(literal 4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a a) a #s(literal 64 binary64)) a) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))))
(/.f64 (*.f64 a (fma.f64 a a #s(literal -16 binary64))) (-.f64 a #s(literal 4 binary64)))
(/.f64 (.f64 a (fma.f64 (.f64 a a) a #s(literal 64 binary64))) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 #s(literal 16 binary64) (.f64 a a))) (-.f64 (.f64 a a) (*.f64 #s(literal 4 binary64) a)))
(/.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 a a) a) a (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (.f64 (.f64 a a) (.f64 #s(literal 4 binary64) a)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 #s(literal 4 binary64) a))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a a))
(fma.f64 a a (*.f64 #s(literal 4 binary64) a))
(+.f64 (.f64 #s(literal 4 binary64) a) (.f64 a a))
(+.f64 (.f64 a a) (.f64 #s(literal 4 binary64) a))

eval86.0ms (0.9%)

Memory: 32.3MiB live, 144.6MiB allocated
Compiler: Compiled 25 184 to 1 148 computations (95.4% saved)

prune168.0ms (1.8%)

Memory

-44.6MiB live, 171.5MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	666	1	667
Fresh	0	7	7
Picked	1	4	5
Done	0	3	3
Total	667	15	682

Accuracy

100.0%

Counts

682 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	69.6%	#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)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
✓	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	50.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)))
✓	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
▶	51.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	45.3%	#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)))
	46.0%	#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)))
✓	45.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	45.3%	#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)))
	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	24.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 313 to 162 computations (48.2% saved)

simplify175.0ms (1.9%)

Memory

21.1MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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)))))) 1) (pow.f64 b #s(literal 4 binary64)))
cost-diff	5504	(pow.f64 b #s(literal 4 binary64))
cost-diff	0	(fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) 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)))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)))
cost-diff	320	(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff	2496	(.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
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	#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #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) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff	704	(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))

Rules

6 775×	`lower-fma.f32`
6 765×	`lower-fma.f64`
1 759×	`lower-+.f32`
1 758×	`lower-+.f64`
1 483×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	613
0	89	612
1	181	535
2	435	509
3	1768	509
4	4005	503
5	7463	503
0	8415	469

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

localize186.0ms (2%)

Memory

-5.6MiB live, 189.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 b #s(literal 4 binary64))
accuracy	35.02040731888471	#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	0.20312500000000003	(-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy	0.21072231132488817	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))
accuracy	19.314742638632467	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)))
accuracy	19.38151787494125	(.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.03125	(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	19.427355072103317	#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 a a)
accuracy	0.0625	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	19.314742638632467	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	31.445999474949232	#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))
accuracy	0.24999724760556022	(fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
accuracy	3.308228558278166	(.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b)
accuracy	3.989498063793373	(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))
accuracy	31.445999474949232	#s(approx (+ (* a a) (+ (* a 4) 4)) #s(literal 4 binary64))

Samples

121.0ms	252×	0	valid
2.0ms	2×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 482 to 60 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 55.0ms (53.3% of total)

ival-add: 34.0ms (32.9% of total)

ival-div: 3.0ms (2.9% of total)

ival-sub: 3.0ms (2.9% of total)

ival-pow: 3.0ms (2.9% of total)

ival-pow2: 2.0ms (1.9% of total)

adjust: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series25.0ms (0.3%)

Memory

-1.1MiB live, 36.4MiB allocated

Counts

20 → 348

Calls

Call 1

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

Outputs
#s(alt (+ 4 (* -12 a)) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (+ (* -12 a) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 a) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12)) (taylor inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -12 a) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #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 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #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 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #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 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) (patch (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (patch (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (patch (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (patch (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (patch (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (patch (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1/4 (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 a) 1/4) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (+ 1/4 (* -5/16 a))) 1/4) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 4 (/ 1 a))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 4 (/ 1 a))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(* (+ (* b b) 4) b)
0.0ms	b	@	inf	(* (+ (* b b) 4) b)
0.0ms	b	@	0	(* (+ (* b b) 4) b)
0.0ms	a	@	inf	(/ 1 (- (* a a) (+ (* 4 a) 4)))
0.0ms	a	@	0	(/ 1 (- (* a a) (+ (* 4 a) 4)))

simplify269.0ms (2.9%)

Memory

10.7MiB live, 251.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 259×	`lower-fma.f64`
8 259×	`lower-fma.f32`
2 577×	`lower-+.f64`
2 577×	`lower-+.f32`
1 737×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	5832
1	950	5602
2	2750	5260
3	7490	5254
0	8144	4764

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(+ 4 (* -12 a))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(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))))))
(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))))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* -12 a) (pow b 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))
(* -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)))))
(- (+ (* 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)
(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 (* -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))))
(- (+ (* 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) (+ 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 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(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 (* -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) (+ 4 (+ (* 4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (* (pow b 2) (+ (* 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))))) (/ 1 (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))))) (/ 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 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* 4 a) (pow a 2)))) (pow b 4))))) (/ 1 (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))))) (/ 1 (pow b 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))))
(* 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 (* (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)))
(* 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 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 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)))
(- (+ (* 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)
(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 (* -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))))
(- (+ (* 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) (+ 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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(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)))) (/ 1 (pow a 4))))
(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 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 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 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)) (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)
(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 (* -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))))
(- (+ (* 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) (+ 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))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(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 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))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(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 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)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (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 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)))))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 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 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
(- (* -4 a) 4)
(- (* a (- a 4)) 4)
(- (* a (- a 4)) 4)
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ 4 (* 4 (/ 1 a))) 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)
(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 (* -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))))
(- (+ (* 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) (+ 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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(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)))) (/ 1 (pow a 4))))
(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 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(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)
(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 (* -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))))
(- (+ (* 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) (+ 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))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
-1/4
(- (* 1/4 a) 1/4)
(- (* a (+ 1/4 (* -5/16 a))) 1/4)
(- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4)
(/ 1 (pow a 2))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 2))
(/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2))
(/ (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 2))
(/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))) (pow a 2))

Outputs
(+ 4 (* -12 a))
(fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -12 binary64) (.f64 b b)) a #s(literal 1 binary64)) (.f64 b b) #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(* -12 a)
(*.f64 a #s(literal -12 binary64))
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (-.f64 (fma.f64 (/.f64 b a) b (/.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64)) a)
(* -12 a)
(*.f64 a #s(literal -12 binary64))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (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 (.f64 (*.f64 a #s(literal 4 binary64)) a)) #s(literal 1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) 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))) (*.f64 b b))) #s(literal 1 binary64))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b) (/.f64 #s(literal 4 binary64) a))) (.f64 (.f64 (*.f64 a a) a) a))
(* (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 b (.f64 a a)) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (.f64 (.f64 (*.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (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 #s(literal 2 binary64) b) b #s(literal 4 binary64)) a)) a)) (.f64 (.f64 (*.f64 a a) a) a))
(* (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)) (.f64 (.f64 (*.f64 a a) a) a))
(- (+ (* 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 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.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)))
(- (+ (* 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 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (.f64 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 (fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64))) (.f64 b b) #s(literal -1 binary64)))
(pow b 4)
(.f64 (.f64 (*.f64 b b) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) (.f64 (.f64 (*.f64 b b) b) b))
(* (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) (.f64 (.f64 (.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 b b) b) b)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) b) b))))) (.f64 (.f64 (*.f64 b b) b) b))
(* (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) (.f64 (.f64 (.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 b b) b) b)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) b) b))))) (.f64 (.f64 (*.f64 b b) b) b))
(pow b 4)
(.f64 (.f64 (*.f64 b b) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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#s(literal -1 binary64)
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(pow a 4)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
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(- (* (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 4)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
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(pow b 4)
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(.f64 (fma.f64 (.f64 a a) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) (.f64 (.f64 (.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 b b) b) b)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) b) b))))) (.f64 (.f64 (*.f64 b b) b) b))
(* (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) (.f64 (.f64 (.f64 b b) b) b)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (.f64 b b))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 b b) b) b)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) b) b))))) (.f64 (.f64 (*.f64 b b) b) b))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
(+ 4 (+ (* a (- (* 2 a) 12)) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
(* 2 (pow a 2))
(.f64 (.f64 #s(literal 2 binary64) a) a)
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 b (.f64 a a)) b (/.f64 #s(literal 4 binary64) (.f64 a a))) #s(literal 2 binary64)) (/.f64 #s(literal 12 binary64) a)) (.f64 a a))
(* (pow a 2) (- (+ 2 (+ (/ 4 (pow a 2)) (/ (pow b 2) (pow a 2)))) (* 12 (/ 1 a))))
(.f64 (-.f64 (+.f64 (fma.f64 (/.f64 b (.f64 a a)) b (/.f64 #s(literal 4 binary64) (.f64 a a))) #s(literal 2 binary64)) (/.f64 #s(literal 12 binary64) a)) (.f64 a a))
(* 2 (pow a 2))
(.f64 (.f64 #s(literal 2 binary64) a) a)
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(.f64 (.f64 (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)) a) a)
(* (pow a 2) (+ 2 (* -1 (/ (+ 12 (* -1 (/ (+ 4 (pow b 2)) a))) a))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) a)) a)) a) a)
(+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a (fma.f64 b b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a a) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))) b b) b)
-1/4
#s(literal -1/4 binary64)
(- (* 1/4 a) 1/4)
(fma.f64 #s(literal 1/4 binary64) a #s(literal -1/4 binary64))
(- (* a (+ 1/4 (* -5/16 a))) 1/4)
(fma.f64 (fma.f64 #s(literal -5/16 binary64) a #s(literal 1/4 binary64)) a #s(literal -1/4 binary64))
(- (* a (+ 1/4 (* a (- (* 3/8 a) 5/16)))) 1/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) a #s(literal -5/16 binary64)) a #s(literal 1/4 binary64)) a #s(literal -1/4 binary64))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 a a))
(/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 20 binary64) (.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (.f64 a a))
(/ (+ 1 (+ (* 4 (/ 1 a)) (+ (* 96 (/ 1 (pow a 3))) (/ 20 (pow a 2))))) (pow a 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 96 binary64) (.f64 (.f64 a a) a))) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64)) (*.f64 a a))
(/ (+ 1 (+ (* 4 (/ 1 a)) (/ 20 (pow a 2)))) (pow a 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 20 binary64) (.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a)) (.f64 a a))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 20 (* 96 (/ 1 a))) a)) 4) a))) (pow a 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) a) #s(literal 20 binary64)) a)) a)) (*.f64 a a))

rewrite233.0ms (2.5%)

Memory

13.1MiB live, 320.7MiB allocated

Rules

2 846×	`lower-*.f32`
2 840×	`lower-*.f64`
2 578×	`lower-fma.f32`
2 568×	`lower-fma.f64`
1 431×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	501
0	89	480
1	453	424
2	3729	424
0	8978	384

Stop Event

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

Counts

20 → 355

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64))) (neg.f64 (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 64 binary64))))
(fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))
(fma.f64 a (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) #s(literal 4 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) a) (fma.f64 (/.f64 b a) b #s(literal -12 binary64))) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal -4 binary64))))
(+.f64 (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a))
#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 a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (.f64 b b) (fma.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (.f64 b b) (fma.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (.f64 b b)) (fma.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (.f64 b b)) (fma.f64 #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
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(-.f64 (*.f64 a (-.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))
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(.f64 (.f64 (*.f64 b b) b) b)
(.f64 (.f64 b b) (*.f64 b b))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))) (neg.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))))) (neg.f64 (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64))) (fma.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a))))))
(fma.f64 (.f64 a a) #s(literal 2 binary64) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) a) a #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 a a) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(fma.f64 a (.f64 #s(literal 2 binary64) a) #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))) (/.f64 (.f64 #s(approx (+ ( (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))))
(+.f64 #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64))) (.f64 (.f64 a a) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (-.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 (.f64 (+.f64 #s(literal 4 binary64) a) a) (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (-.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 (.f64 (.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 #s(literal 1 binary64) a)) (+.f64 #s(literal 1 binary64) a)) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (-.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 (.f64 (.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) a) (+.f64 #s(literal 4 binary64) a)) (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) a) (+.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (-.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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) a) a)) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) a) a))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) a) a)) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (.f64 (.f64 (.f64 a a) a) a)))
(*.f64 (pow.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)))

eval146.0ms (1.6%)

Memory: -6.3MiB live, 242.2MiB allocated
Compiler: Compiled 32 090 to 1 676 computations (94.8% saved)

prune171.0ms (1.8%)

Memory

-8.5MiB live, 191.4MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	879	4	883
Fresh	1	2	3
Picked	2	3	5
Done	0	7	7
Total	882	16	898

Accuracy

100.0%

Counts

898 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.8%	#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)))
	84.7%	#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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 4))) -1) #s(literal -1 binary64))))
✓	69.6%	#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)))
✓	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	50.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64)))) #s(literal -1 binary64)))
	33.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.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 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))))) #s(literal -1 binary64)))
✓	69.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) a)) #s(literal -1 binary64)))
✓	51.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	45.3%	#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)))
	46.0%	#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)))
✓	45.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	45.3%	#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)))
	46.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	24.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 814 to 231 computations (71.6% saved)

regimes39.0ms (0.4%)

Memory

16.9MiB live, 55.2MiB allocated

Counts

25 → 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))
#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) (.f64 (.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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) (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 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 #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) (fma.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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.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 a a) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) a)) a)) (.f64 (.f64 (*.f64 a a) a) 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 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.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) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (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) (fma.f64 (.f64 a a) (.f64 (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 a a) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.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 (+.f64 #s(literal 4 binary64) a) 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 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 (+.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 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (.f64 (fma.f64 a a a) a)) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b))) #s(literal 4 binary64)))) (.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a))))) (-.f64 (.f64 (fma.f64 a a a) a) (.f64 (.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 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 (fma.f64 (*.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.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:

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))))))
7.0ms	b
7.0ms	a
7.0ms	(*.f64 b b)
6.0ms	(-.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
99.5%	1	`a`
99.5%	1	`b`
99.5%	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))`
99.5%	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))))))`
99.5%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes29.0ms (0.3%)

Memory

-26.6MiB live, 50.3MiB allocated

Counts

17 → 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))
#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) (.f64 (.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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) (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 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (*.f64 (+.f64 a #s(literal 4 binary64)) 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 a (+.f64 a #s(literal 4 binary64)) #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 #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) (fma.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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b (fma.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 a a) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 4 binary64) a) a) (.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) b) b #s(literal 4 binary64)) a)) a)) (.f64 (.f64 (*.f64 a a) a) a)))

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

Calls

5 calls:

7.0ms	(*.f64 b b)
6.0ms	a
5.0ms	b
5.0ms	(+.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 (+.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`
98.2%	2	`b`
88.5%	3	`(-.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))`
88.5%	3	`(+.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%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes14.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.1%	3	`a`
94.9%	2	`b`
94.9%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.2%)

Memory

-26.2MiB live, 16.3MiB 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))
#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) (.f64 (.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.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) (fma.f64 (*.f64 (fma.f64 b b #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) (*.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)))))) 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) (*.f64 (*.f64 (*.f64 a a) a) a))

Calls

3 calls:

7.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
94.0%	3	`a`
82.4%	2	`b`
82.4%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
94.0%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-16.3MiB live, 23.2MiB 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))
#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) (.f64 (.f64 (*.f64 a a) a) a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 (*.f64 b b) b) b))

Outputs

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

Calls

5 calls:

3.0ms	a
3.0ms	b
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	(*.f64 b b)
3.0ms	(-.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
81.7%	2	`b`
81.7%	2	`(*.f64 b b)`
79.1%	4	`(-.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))`
79.1%	4	`(+.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))))))`
81.3%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

6 → 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))
#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) (.f64 (.f64 (*.f64 a a) a) a))

Outputs

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

2 calls:

3.0ms	b
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
81.7%	2	`b`
81.7%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

4 → 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.3%	3	`a`
72.4%	3	`(*.f64 b b)`
72.4%	3	`b`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

3 → 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 (+ (* (* b b) (+ (* 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) (fma.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 b b) #s(approx (+ (* b b) 4) #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 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 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))

Calls

5 calls:

2.0ms	a
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	(-.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 b b)

Results

Accuracy	Segments	Branch
68.0%	2	`b`
68.0%	2	`(*.f64 b b)`
58.5%	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))`
58.5%	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))))))`
68.4%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes9.0ms (0.1%)

Memory

-24.4MiB live, 15.0MiB allocated

Counts

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

Calls

5 calls:

2.0ms	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	a
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	(*.f64 b b)

Results

Accuracy	Segments	Branch
51.1%	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))`
51.1%	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))))))`
51.1%	1	`a`
51.1%	1	`b`
51.1%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB 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 (+ (* (* b b) (+ (* 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 (+ (* (* b b) (+ (* 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	a
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	(*.f64 b b)

Results

Accuracy	Segments	Branch
24.9%	1	`b`
24.9%	1	`(*.f64 b b)`
24.9%	1	`a`
24.9%	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))`
24.9%	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 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.86317038928724e-7	6.402394722551848

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.86317038928724e-7	6.402394722551848

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.86317038928724e-7	6.402394722551848

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch56.0ms (0.6%)

Memory

-32.6MiB live, 61.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.0222840337630768e-12	2991962371853615.0
17.0ms	-5.591733045403976e+26	-5.036068117335495e+23

Samples

40.0ms

304×

valid

Compiler

Compiled 492 to 281 computations (42.9% saved)

Precisions

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

ival-mult: 22.0ms (66.3% of total)

ival-add: 5.0ms (15.1% of total)

ival-sub: 3.0ms (9% of total)

ival-pow2: 3.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0222840337630768e-12	2991962371853615.0
1.0ms	-5.591733045403976e+26	-5.036068117335495e+23

Compiler

Compiled 492 to 281 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	16836628137150.316	629669167642302.3

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch14.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4103246.0488191927	25093209.59228417

Samples

9.0ms

96×

valid

Compiler

Compiled 168 to 95 computations (43.5% saved)

Precisions

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

ival-mult: 3.0ms (45.6% of total)

ival-add: 2.0ms (30.4% of total)

ival-sub: 1.0ms (15.2% of total)

ival-pow2: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch68.0ms (0.7%)

Memory

9.5MiB live, 48.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0222840337630768e-12	2991962371853615.0
46.0ms	-44393.65538815667	-3.2427078868024773e-16

Samples

27.0ms

304×

valid

Compiler

Compiled 520 to 287 computations (44.8% saved)

Precisions

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

ival-mult: 10.0ms (48.8% of total)

ival-add: 5.0ms (24.4% of total)

ival-pow2: 3.0ms (14.6% of total)

ival-sub: 2.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

-23.9MiB live, 15.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.554125368972642e+294	2.3484183943563046e+295

Samples

15.0ms

96×

valid

Compiler

Compiled 154 to 101 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (70.5% of total)

ival-add: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.8% of total)

ival-pow2: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1138
1	130	1138

Stop Event

1×

saturated

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 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.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 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 a #s(literal 4 binary64)) #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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 a #s(literal 4 binary64)) #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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (.f64 (+.f64 a #s(literal 4 binary64)) 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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -4500000000000000192937984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 21000000000000 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) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -4500000000000000192937984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 21000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.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) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 (.f64 b b) #s(literal 20000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 (*.f64 b b) b) b)))
(if (<=.f64 b #s(literal 4150000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 a #s(literal -10000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 23000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 23000000000000001386225774680997873458641925092477669250706250910780751908608109885763007281859810585950224359550109591180266927180609908323730596423945239178044313312321535450135538126340247648465513668172513589205050387534172514017432922210876139527005735016772385715825047088153193926541443072 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 b b) #s(approx (+ ( b b) 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 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 (+ (* (* b b) (+ (* 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) (fma.f64 (.f64 (fma.f64 (.f64 a #s(literal 2 binary64)) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.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) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (.f64 b b))) b) b (fma.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 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 a #s(literal 4 binary64)) #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 2 binary64)) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 #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 #s(literal 2 binary64) a) a #s(approx (+ (* (+ (* -3 a) 1) 4) (* b b)) (fma.f64 (fma.f64 (/.f64 b a) b #s(literal -12 binary64)) a #s(literal 4 binary64)))) b) b #s(approx (+ (* (* a a) (+ (* a a) (+ (* a 4) 4))) -1) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 a #s(literal 4 binary64)) #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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 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 a (+.f64 #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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (.f64 (+.f64 a #s(literal 4 binary64)) 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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* a 4) 4)) (.f64 (+.f64 #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 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -4500000000000000192937984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 21000000000000 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) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 a #s(literal -4500000000000000192937984 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 21000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.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) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 (.f64 b b) #s(literal 20000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 (*.f64 b b) b) b)))
(if (<=.f64 b #s(literal 4150000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 a #s(literal -10000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 23000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 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 a a) (*.f64 a a)))))
(if (<=.f64 (.f64 b b) #s(literal 23000000000000001386225774680997873458641925092477669250706250910780751908608109885763007281859810585950224359550109591180266927180609908323730596423945239178044313312321535450135538126340247648465513668172513589205050387534172514017432922210876139527005735016772385715825047088153193926541443072 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.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 b b) #s(approx (+ ( b b) 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 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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.3s (14.1%)

Memory

13.8MiB live, 928.0MiB allocated

Rules

11 024×	`lower-fma.f64`
11 024×	`lower-fma.f32`
8 259×	`lower-fma.f64`
8 259×	`lower-fma.f32`
8 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	5832
1	950	5602
2	2750	5260
3	7490	5254
0	8144	4764
0	250	5370
1	821	5144
2	2452	4786
3	6837	4658
0	8216	4155
0	257	5866
1	834	5642
2	2482	5304
3	6935	5166
0	8173	4640
0	42	355
0	66	340
1	319	332
2	2879	332
0	8785	302
0	185	2332
1	600	2246
2	1837	2184
3	5819	2098
0	8170	1858

Stop Event

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

Compiler

Compiled 715 to 312 computations (56.4% saved)

preprocess71.0ms (0.8%)

Memory: -23.3MiB live, 132.2MiB allocated
Remove: (abs b)
Compiler: Compiled 806 to 252 computations (68.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (15.7%)

explain452.0ms (4.8%)

preprocess567.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify577.0ms (6.2%)

localize52.0ms (0.6%)

series16.0ms (0.2%)

simplify271.0ms (2.9%)

rewrite257.0ms (2.7%)

eval144.0ms (1.5%)

prune94.0ms (1%)

simplify254.0ms (2.7%)

localize121.0ms (1.3%)

series31.0ms (0.3%)

simplify210.0ms (2.2%)

rewrite244.0ms (2.6%)

eval210.0ms (2.2%)

prune174.0ms (1.9%)

simplify280.0ms (3%)

localize237.0ms (2.5%)

series25.0ms (0.3%)

simplify257.0ms (2.7%)

rewrite246.0ms (2.6%)

eval86.0ms (0.9%)

prune168.0ms (1.8%)

simplify175.0ms (1.9%)

localize186.0ms (2%)

series25.0ms (0.3%)

simplify269.0ms (2.9%)

rewrite233.0ms (2.5%)

eval146.0ms (1.6%)

prune171.0ms (1.8%)

regimes39.0ms (0.4%)

regimes29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch56.0ms (0.6%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch68.0ms (0.7%)

bsearch21.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.3s (14.1%)

preprocess71.0ms (0.8%)

end0.0ms (0%)

Profiling