Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.3s (10.6%)

Memory

19.1MiB live, 2 007.8MiB allocated

Samples

955.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-mult: 328.0ms (46.9% of total)

ival-add: 187.0ms (26.7% of total)

ival-pow2: 92.0ms (13.2% of total)

ival-sub: 73.0ms (10.4% of total)

exact: 11.0ms (1.6% of total)

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

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

Bogosity

explain349.0ms (2.8%)

Memory

-12.9MiB live, 633.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
45	0	-	0	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
43	0	-	0	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
20	1	(3.410205291141804e+106 -7.075206687927158e-216)	2	(3.79761610341334e+140 -3.0530922940354783e-162)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	0	-	0	-	`(*.f64 a a)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	0	-	0	-	`b`
0	0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	0	-	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	45	0
↳	`(*.f64 b b)`	overflow	72
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	168
↳	`(*.f64 a a)`	overflow	69
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	119
↳	`(*.f64 b b)`	overflow	72
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	95
↳	`(*.f64 a a)`	overflow	69
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	89
↳	`(+.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	141
↳	`(.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	142
`+.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	43	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	95
↳	`(*.f64 a a)`	overflow	69
↳	`(*.f64 b b)`	overflow	72
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	89

Confusion

	Predicted +	Predicted -
+	72	0
-	0	184

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	0	0	184

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	184
1	56
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms	470×	0	valid
7.0ms	32×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 339 to 61 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 59.0ms (62.1% of total)

ival-add: 22.0ms (23.2% of total)

ival-sub: 5.0ms (5.3% of total)

ival-pow2: 5.0ms (5.3% of total)

adjust: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess352.0ms (2.8%)

Memory

21.2MiB live, 402.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.8%	(-.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

▶

71.8%

(-.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)

simplify422.0ms (3.3%)

Memory

-12.9MiB live, 433.0MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.7%)

Memory

0.6MiB live, 111.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09375	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	4.624961482448202	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	8.976562500000002	(+.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))))))
accuracy	9.386685723283295	(+.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

67.0ms	235×	0	valid
4.0ms	16×	1	valid
2.0ms	5×	2	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sub: 40.0ms (69% of total)

ival-mult: 9.0ms (15.5% of total)

ival-add: 5.0ms (8.6% of total)

ival-pow2: 3.0ms (5.2% of total)

adjust: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-12.5MiB live, 32.5MiB 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>) () ())) ())
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#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow 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
5.0ms	b	@	0	(* (* b b) (- 1 (* 3 a)))
1.0ms	b	@	0	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.0ms	a	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	inf	(pow (+ (* a a) (* b b)) 2)

simplify453.0ms (3.6%)

Memory

8.1MiB live, 475.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22 048×	`lower-fma.f64`
22 048×	`lower-fma.f32`
4 280×	`lower-*.f64`
4 280×	`lower-*.f32`
3 958×	`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 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (.f64 a (.f64 a (.f64 a a))))
(+ (* 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 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #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 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
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(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* (pow b 2) (- 1 (* 3 a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -3 (* a (pow b 2)))
(.f64 a (.f64 (*.f64 b b) #s(literal -3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))

rewrite421.0ms (3.3%)

Memory

38.0MiB live, 699.1MiB allocated

Rules

5 620×	`lower-fma.f64`
5 620×	`lower-fma.f32`
4 066×	`lower-/.f64`
4 066×	`lower-/.f32`
3 976×	`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 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)))
(+.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)))
(+.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (.f64 b b)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 b b) (fma.f64 a a (.f64 b b)) (.f64 (.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 a a) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 b b) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 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 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b)))))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.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 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a a (.f64 b b)))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b)))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (-.f64 (.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b)))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)))) (-.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a)))) (-.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))) (-.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b))))) (-.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a a) (fma.f64 a a (.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 a a (*.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
(.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))))
(.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) (.f64 (+.f64 a b) (-.f64 a b)))))
(.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.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 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.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 (fma.f64 a a (.f64 b b)) (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))
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(.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))

eval127.0ms (1%)

Memory: -33.4MiB live, 294.3MiB allocated
Compiler: Compiled 60 088 to 2 575 computations (95.7% saved)

prune108.0ms (0.9%)

Memory

3.3MiB live, 281.6MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	667	17	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	668	17	685

Accuracy

100.0%

Counts

685 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.5%	(fma.f64 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))
	14.2%	(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.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)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))
	74.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))))
	13.5%	(-.f64 (/.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))) #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (.f64 a (fma.f64 a a a)) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))))) #s(literal 1 binary64))
	71.8%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.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))
▶	71.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))) (.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))
	61.6%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	74.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 #s(literal 4 binary64) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))))))) #s(literal 1 binary64))
	69.2%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal 1 binary64))
	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	93.3%	#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 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) #s(literal -1 binary64))))
	82.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) #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 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	77.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
▶	60.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))))
	48.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	49.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 1 114 to 502 computations (54.9% saved)

simplify391.0ms (3.1%)

Memory

6.3MiB live, 525.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))) (.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	0	(.f64 a (.f64 a a))
cost-diff	0	(.f64 a (.f64 a (*.f64 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 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))))
cost-diff	1664	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (*.f64 a a) (fma.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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 a (.f64 a a))
cost-diff	0	(.f64 a (.f64 a (*.f64 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 a (.f64 a (*.f64 a a))))
cost-diff	0	(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a 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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) #s(literal -1 binary64))))
cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff	640	(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))

Rules

25 068×	`lower-fma.f32`
25 048×	`lower-fma.f64`
3 906×	`lower-*.f32`
3 882×	`lower-*.f64`
3 136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	701
0	94	665
1	207	645
2	548	645
3	1815	641
4	3120	637
5	5420	637
0	8337	589

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

localize266.0ms (2.1%)

Memory

8.2MiB live, 246.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.624961482448202	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy	4.77864105422196	(.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (*.f64 a a))))
accuracy	8.976562500000002	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))) (.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))))))
accuracy	9.386685723283295	(+.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	2.374528370649373	(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)
accuracy	4.956099192393058	(/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)
accuracy	20.89631584623765	(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
accuracy	26.390440444833576	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a))))
accuracy	0	(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.08431625976844202	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	19.324465484217335	#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 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.07421875	(.f64 a (.f64 a (*.f64 a a)))
accuracy	0.07421875	(.f64 a (.f64 a a))
accuracy	32.36647892905361	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
accuracy	0.00390625	(fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))
accuracy	0.00390625	(.f64 #s(literal 2 binary64) (.f64 a a))
accuracy	0.045253759768442016	(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) #s(literal -1 binary64)))
accuracy	6.0654680074408045	(fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 b b (.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(literal -1 binary64))

Samples

151.0ms	235×	0	valid
41.0ms	16×	1	valid
4.0ms	5×	2	valid

Compiler

Compiled 603 to 50 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 84.0ms (72.3% of total)

ival-add: 20.0ms (17.2% of total)

adjust: 3.0ms (2.6% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 3.0ms (2.6% of total)

ival-pow2: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series72.0ms (0.6%)

Memory

21.1MiB live, 61.9MiB allocated

Counts

24 → 468

Calls

Call 1

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

117 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1)
1.0ms	b	@	0	(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
1.0ms	a	@	inf	(+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))
1.0ms	b	@	inf	(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))
1.0ms	a	@	0	(* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a)))

simplify521.0ms (4.1%)

Memory

3.0MiB live, 359.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 134×	`lower-fma.f64`
17 134×	`lower-fma.f32`
4 814×	`lower-*.f64`
4 814×	`lower-*.f32`
4 446×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	7385
1	1068	7108
2	3187	6730
3	7515	6730
0	8199	6114

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

rewrite581.0ms (4.6%)

Memory

-6.7MiB live, 310.3MiB allocated

Rules

5 098×	`lower-fma.f32`
5 078×	`lower-fma.f64`
4 228×	`lower-*.f32`
4 204×	`lower-*.f64`
3 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	452
0	93	432
1	432	422
2	3910	422
0	9229	378

Stop Event

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

Counts

24 → 613

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(+.f64 (.f64 a #s(literal -12 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(+.f64 (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 a a)))
(+.f64 (+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (*.f64 a #s(literal -12 binary64))) #s(literal 4 binary64))
(+.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) (*.f64 b b))
(-.f64 (/.f64 (.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (-.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))) (/.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b))) (-.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 #s(literal 4 binary64) (.f64 a #s(literal -3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b))))
(fma.f64 #s(literal -3 binary64) (.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 (.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
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(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 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 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) (neg.f64 (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b))) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 b b))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 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 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64))) (.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 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 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))))
(.f64 (.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 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 a (.f64 a (*.f64 a a))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 2 binary64)))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 (.f64 a (*.f64 a a)) a)
(.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(.f64 a (.f64 a a))
(.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) a)
(.f64 (.f64 a (*.f64 a a)) #s(literal 1 binary64))
(.f64 (.f64 a (*.f64 a a)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (.f64 a (.f64 a a))))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 a (*.f64 a a)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 (.f64 a a) #s(literal 1 binary64))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
#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 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
(+.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #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))))
(fma.f64 a (.f64 a (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))) (fma.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)) #s(literal -1 binary64)))
(fma.f64 (.f64 a a) (.f64 a a) (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #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))
(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 a (.f64 a a)) a (fma.f64 #s(literal 4 binary64) (*.f64 a (fma.f64 a a a)) #s(literal -1 binary64)))
(fma.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(/.f64 #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)) (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.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 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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 (neg.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 a a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 a a) #s(literal -1 binary64)))))))
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(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 b b))) (neg.f64 (fma.f64 (*.f64 a a) #s(literal 9 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 b b))) (neg.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) (.f64 b b))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b))
(.f64 (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) b)

eval524.0ms (4.1%)

Memory: 13.0MiB live, 443.9MiB allocated
Compiler: Compiled 59 440 to 3 306 computations (94.4% saved)

prune469.0ms (3.7%)

Memory

-135.5MiB live, 508.5MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 467	19	1 486
Fresh	9	3	12
Picked	4	1	5
Done	0	0	0
Total	1 480	23	1 503

Accuracy

100.0%

Counts

1 503 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.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))
	99.4%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
	68.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal 1 binary64))
	76.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b (fma.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) #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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
	93.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
	82.1%	#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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	93.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 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 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64)))
▶	78.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b))))))
	42.8%	#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 #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)))))) #s(literal -1 binary64)))
	69.3%	#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) (+ (* 4 a) 4)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)))
	69.2%	#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) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
	49.7%	#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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	49.4%	#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)))
	28.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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))))
	51.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) #s(approx (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a) (/.f64 (.f64 b (.f64 b #s(literal 2 binary64))) (*.f64 a a))))))
	49.4%	#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)))
	48.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	49.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	21.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))
	62.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))

Compiler

Compiled 908 to 457 computations (49.7% saved)

simplify466.0ms (3.7%)

Memory

0.1MiB live, 672.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 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 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
cost-diff	320	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 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 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b))))))
cost-diff	192	(fma.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 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	#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))
cost-diff	0	(.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
cost-diff	0	(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff	320	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))

Rules

32 092×	`lower-fma.f32`
32 066×	`lower-fma.f64`
3 842×	`lower-*.f32`
3 828×	`lower-*.f64`
3 278×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	612
0	97	601
1	245	559
2	671	559
3	1856	559
4	3176	559
5	4719	559
6	7480	559
0	8370	522

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

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

localize174.0ms (1.4%)

Memory

20.7MiB live, 292.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
accuracy	0.0390625	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
accuracy	0.24999724760556022	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
accuracy	6.0654680074408045	(fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 b b) #s(literal -1 binary64))
accuracy	0.045253759768442016	(fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))
accuracy	0.05078125	(.f64 b (.f64 b (*.f64 b b)))
accuracy	0.0625	(.f64 b (.f64 b b))
accuracy	33.059868440988765	#s(approx (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b))))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.03515625	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	20.270418812605744	#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	19.324465484217335	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))
accuracy	35.87757640249051	#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64))
accuracy	0.0234375	(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.08431625976844202	(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	0.24999724760556022	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
accuracy	4.75910980422196	(.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))

Samples

89.0ms	234×	0	valid
11.0ms	16×	1	valid
3.0ms	3×	3	valid
3.0ms	3×	2	valid

Compiler

Compiled 518 to 62 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 43.0ms (52.5% of total)

ival-add: 29.0ms (35.4% of total)

adjust: 4.0ms (4.9% of total)

ival-pow2: 3.0ms (3.7% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series36.0ms (0.3%)

Memory

10.6MiB live, 47.0MiB allocated

Counts

22 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (* (* b (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4)))) b) (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1))
0.0ms	b	@	inf	(+ (* (* b (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4)))) b) (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1))
0.0ms	b	@	inf	(* b (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))))
0.0ms	a	@	-inf	(* a (+ (* a (+ a 4)) 4))
0.0ms	b	@	0	(* b (* b b))

simplify438.0ms (3.5%)

Memory

-23.3MiB live, 308.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 942×	`lower-fma.f64`
13 942×	`lower-fma.f32`
4 406×	`lower-*.f64`
4 406×	`lower-*.f32`
3 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	7628
1	998	7248
2	3072	6821
3	6753	6608
0	8328	5906

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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

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

rewrite327.0ms (2.6%)

Memory

1.9MiB live, 246.2MiB allocated

Rules

6 202×	`lower-fma.f32`
6 176×	`lower-fma.f64`
4 216×	`lower-*.f32`
4 202×	`lower-*.f64`
3 166×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	522
0	97	511
1	539	469
2	4786	469
0	8691	449

Stop Event

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

Counts

22 → 481

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(+.f64 (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) (.f64 a (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 b b) (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+.f64 (.f64 b b) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))
(+.f64 (.f64 a #s(literal -12 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(+.f64 (fma.f64 a #s(literal -12 binary64) (.f64 b b)) (+.f64 #s(literal 4 binary64) (.f64 a (*.f64 a #s(literal 2 binary64)))))
(+.f64 (+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) #s(literal 4 binary64)) (*.f64 a #s(literal -12 binary64)))
(+.f64 (+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (*.f64 a #s(literal -12 binary64))) #s(literal 4 binary64))
(+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (.f64 b b))
(+.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (.f64 b b))) #s(literal 4 binary64))
(+.f64 (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))) (*.f64 b b))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))) (/.f64 (.f64 (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (-.f64 (.f64 a (*.f64 a #s(literal 2 binary64))) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (-.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))) (/.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b))) (-.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b))))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 (*.f64 a #s(literal 2 binary64)) a (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 b b (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b))))
(fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 #s(literal 4 binary64) (.f64 a #s(literal -3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 a #s(literal 4 binary64)) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 #s(literal -3 binary64) (.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 (.f64 a #s(literal -3 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b))))
(fma.f64 (fma.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b))))) (.f64 a (.f64 a #s(literal 2 binary64))))
(fma.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 a (.f64 a #s(literal 2 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal -1728 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) #s(literal 144 binary64) #s(literal 16 binary64)) (.f64 a #s(literal -48 binary64)))) (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)))
(fma.f64 (.f64 (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64))) (-.f64 (.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))) (.f64 a (*.f64 a #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 b b)) (fma.f64 b b (.f64 #s(literal -2 binary64) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 #s(literal -2 binary64) (*.f64 a a)))) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (.f64 a a) #s(literal 144 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -12 binary64) #s(literal -4 binary64))) (fma.f64 a (.f64 a #s(literal 2 binary64)) (*.f64 b b)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (+.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 a (.f64 a #s(literal 2 binary64)))))
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(exp.f64 (log.f64 (*.f64 b b)))
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(+.f64 (*.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal 4 binary64))
(+.f64 (+.f64 #s(literal 4 binary64) (.f64 a a)) (.f64 a #s(literal 4 binary64)))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a #s(literal 4 binary64)))
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(fma.f64 a a (fma.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 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (+.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
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(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))
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(/.f64 (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))
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(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))))) (-.f64 #s(literal 4 binary64) (.f64 a (+.f64 a #s(literal 4 binary64)))))
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(pow.f64 (/.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (.f64 a (+.f64 a #s(literal 4 binary64))) (.f64 a (+.f64 a #s(literal 4 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 a a) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))) (.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
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(.f64 (fma.f64 (.f64 (.f64 (+.f64 a #s(literal 1 binary64)) (+.f64 a #s(literal 1 binary64))) (+.f64 a #s(literal 1 binary64))) #s(literal 64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)) (.f64 a a))))))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b))))))
(+.f64 #s(approx (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (.f64 b b)))) (.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))
(+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(approx (+ (* (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)))) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b b) #s(literal -1 binary64)))) (fma.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b) #s(literal 1 binary64)) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (*.f64 b b) #s(literal -1 binary64))))))
(.f64 (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 (.f64 b b) (.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 a #s(literal -12 binary64) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal 1 binary64))))

eval231.0ms (1.8%)

Memory: -2.9MiB live, 186.0MiB allocated
Compiler: Compiled 39 520 to 1 610 computations (95.9% saved)

prune229.0ms (1.8%)

Memory

33.3MiB live, 231.2MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 023	11	1 034
Fresh	7	10	17
Picked	4	1	5
Done	0	1	1
Total	1 034	23	1 057

Accuracy

100.0%

Counts

1 057 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.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))
	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
▶	78.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a)))))
	82.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) #s(literal -1 binary64))))
	78.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (.f64 #s(literal 2 binary64) (.f64 a a)))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
▶	67.7%	#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) (*.f64 b b)) #s(literal -1 binary64)))
	50.9%	#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)))
▶	93.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
	55.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(approx (+ ( (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (* b b)) -1) (.f64 (.f64 b b) (.f64 #s(literal 2 binary64) (.f64 a a))))))
	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 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(approx (+ ( (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (* b b)) -1) #s(literal -1 binary64))))
	42.8%	#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 #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)))))) #s(literal -1 binary64)))
	69.3%	#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) (+ (* 4 a) 4)) (*.f64 a (+.f64 #s(literal 4 binary64) a))) #s(literal -1 binary64)))
	77.9%	#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) (+ (* 4 a) 4)) (.f64 a a)) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b))))))
	69.2%	#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) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
▶	49.7%	#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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	49.4%	#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)))
	28.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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))))
	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
	49.4%	#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)))
	48.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	49.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	21.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))
▶	62.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))

Compiler

Compiled 815 to 396 computations (51.4% saved)

simplify319.0ms (2.5%)

Memory

-0.9MiB live, 351.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
cost-diff	0	(fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a))))
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 (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a)))))
cost-diff	320	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
cost-diff	0	#s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))
cost-diff	0	#s(approx (+ (* b b) 4) (*.f64 b b))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 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 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
cost-diff	0	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
cost-diff	0	(fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 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 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))))

Rules

19 694×	`lower-fma.f32`
19 668×	`lower-fma.f64`
4 532×	`lower-+.f32`
4 528×	`lower-+.f64`
3 388×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	689
0	118	676
1	266	644
2	644	644
3	1857	644
4	3861	638
5	5410	632
0	8214	604

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

localize239.0ms (1.9%)

Memory

-33.1MiB live, 257.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.139003759768442	(.f64 (.f64 a a) (*.f64 a a))
accuracy	0.24999724760556022	(fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
accuracy	4.75910980422196	(.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
accuracy	27.809574301283714	#s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0	(*.f64 a a)
accuracy	0	#s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))
accuracy	7.229938297907755	(.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
accuracy	26.390440444833576	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))
accuracy	0	(*.f64 b b)
accuracy	0.03515625	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64))
accuracy	20.270418812605744	#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) (*.f64 b b)) #s(literal -1 binary64)))
accuracy	30.47495154123798	#s(approx (+ (* b b) 4) (*.f64 b b))
accuracy	0	(*.f64 a a)
accuracy	0.08431625976844202	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	19.324465484217335	#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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	34.964759602555034	#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
accuracy	0	#s(approx (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64))))
accuracy	0.015625	(fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
accuracy	0.0390625	(*.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))
accuracy	6.0654680074408045	(fma.f64 #s(approx (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (*.f64 b b) #s(literal -1 binary64))

Samples

115.0ms	234×	0	valid
48.0ms	16×	1	valid
4.0ms	3×	3	valid
3.0ms	3×	2	valid

Compiler

Compiled 511 to 70 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 79.0ms (54.9% of total)

ival-add: 50.0ms (34.8% of total)

adjust: 5.0ms (3.5% of total)

ival-div: 3.0ms (2.1% of total)

ival-sub: 3.0ms (2.1% of total)

ival-pow2: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series30.0ms (0.2%)

Memory

18.2MiB live, 55.1MiB allocated

Counts

23 → 432

Calls

Call 1

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

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

Calls

108 calls:

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

simplify279.0ms (2.2%)

Memory

29.0MiB live, 338.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 544×	`lower-fma.f64`
14 544×	`lower-fma.f32`
5 836×	`lower-+.f64`
5 836×	`lower-+.f32`
4 210×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	7814
1	958	7572
2	3009	7249
3	7372	7244
0	8089	6594

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

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

rewrite297.0ms (2.4%)

Memory

-6.6MiB live, 315.6MiB allocated

Rules

6 046×	`lower-fma.f32`
6 020×	`lower-fma.f64`
4 972×	`lower-*.f32`
4 956×	`lower-*.f64`
2 310×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	602
0	118	581
1	595	553
2	5098	553
0	8120	523

Stop Event

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

Counts

23 → 362

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

eval129.0ms (1%)

Memory: 2.6MiB live, 161.9MiB allocated
Compiler: Compiled 28 714 to 1 438 computations (95% saved)

prune162.0ms (1.3%)

Memory

-28.9MiB live, 260.4MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	894	5	899
Fresh	4	12	16
Picked	3	2	5
Done	0	2	2
Total	901	21	922

Accuracy

100.0%

Counts

922 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.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))
	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
	79.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a))))))
	82.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) #s(literal -1 binary64))))
	77.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (.f64 b b))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a)))))
	58.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (.f64 #s(literal 2 binary64) (.f64 a a)))) b #s(approx (+ (* (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 (.f64 a a) (*.f64 a a)))))
✓	67.7%	#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) (*.f64 b b)) #s(literal -1 binary64)))
	50.9%	#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)))
	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 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a #s(approx (+ ( (+ (* a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (* b b)) -1) #s(literal -1 binary64))))
	42.8%	#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 #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)))))) #s(literal -1 binary64)))
	69.2%	#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) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
✓	49.7%	#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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	49.4%	#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)))
	28.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (/.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (.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))))
	68.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
	49.4%	#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)))
	48.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	49.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	21.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))
	67.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) a)))
	49.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) #s(approx (* (* a a) (+ (* b (* b 2)) (+ (* a (+ 4 a)) 4))) (.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))

Compiler

Compiled 1 541 to 348 computations (77.4% saved)

regimes78.0ms (0.6%)

Memory

10.5MiB live, 129.2MiB allocated

Counts

53 → 1

Calls

Call 1

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

Calls

5 calls:

17.0ms	a
16.0ms	(-.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))
14.0ms	b
13.0ms	(+.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))))))
13.0ms	(*.f64 b b)

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)

regimes54.0ms (0.4%)

Memory

15.1MiB live, 91.0MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

12.0ms	(*.f64 b b)
11.0ms	b
10.0ms	a
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
9.0ms	(-.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
100.0%	3	`a`
100.0%	2	`b`
100.0%	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))`
100.0%	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))))))`
100.0%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes38.0ms (0.3%)

Memory

-34.2MiB live, 52.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

Calls

4 calls:

10.0ms	(+.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))))))
10.0ms	b
8.0ms	(*.f64 b b)
8.0ms	(-.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
99.7%	2	`b`
99.7%	2	`(*.f64 b b)`
99.7%	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))`
99.7%	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))))))`

Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes33.0ms (0.3%)

Memory

17.8MiB live, 57.1MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	b
8.0ms	(*.f64 b b)
8.0ms	(+.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	(-.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
98.6%	2	`b`
98.6%	2	`(*.f64 b b)`
98.7%	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))`
98.7%	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))))))`

Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes17.0ms (0.1%)

Memory

-16.8MiB live, 21.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms

(-.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))

7.0ms

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

Results

Accuracy	Segments	Branch
98.6%	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))`
98.6%	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))))))`

Compiler

Compiled 64 to 37 computations (42.2% saved)

regimes29.0ms (0.2%)

Memory

1.3MiB live, 43.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Calls

4 calls:

8.0ms	b
7.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
6.0ms	(*.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
98.6%	2	`b`
98.6%	2	`(*.f64 b b)`
98.5%	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))`
98.5%	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))))))`

Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes32.0ms (0.2%)

Memory

6.1MiB live, 45.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`a`
89.7%	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))`
89.7%	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))))))`
96.2%	2	`b`
96.2%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory

-8.9MiB live, 30.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Calls

3 calls:

6.0ms	b
6.0ms	a
6.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.2%	2	`b`
96.2%	2	`(*.f64 b b)`
94.2%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.7%	2	`b`
95.7%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

-24.6MiB live, 14.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.6%	2	`b`
95.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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) (+ (* 4 a) 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 a (.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 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 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 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 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 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 b (fma.f64 b b #s(literal 4 binary64))) 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 a a) #s(approx (+ (* a a) (+ (* 4 a) 4)) (*.f64 a a)) #s(literal -1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.6%	2	`b`
95.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory

-28.1MiB live, 17.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	b
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
95.6%	2	`b`
95.6%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	(*.f64 b b)
3.0ms	b

Results

Accuracy	Segments	Branch
95.5%	2	`b`
95.5%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.5%	2	`b`
95.5%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory

-11.8MiB live, 27.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (*.f64 b (*.f64 b (*.f64 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))))))
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
81.0%	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))`
81.0%	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))))))`
83.5%	3	`a`
84.2%	3	`b`
84.2%	3	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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) (+ (* 4 a) 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 a (.f64 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 a (*.f64 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 a (*.f64 a (*.f64 a a))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.5%	3	`a`
74.9%	3	`(*.f64 b b)`
74.9%	3	`b`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Memory

-17.6MiB live, 21.9MiB 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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) (+ (* 4 a) 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) (+ (* 4 a) 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	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
2.0ms	a
2.0ms	b
2.0ms	(-.f64 (+.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
69.3%	2	`b`
69.3%	2	`(*.f64 b b)`
59.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
59.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
69.1%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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) (+ (* 4 a) 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) (+ (* 4 a) 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
49.7%	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))`
49.7%	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))))))`
49.7%	1	`a`
49.7%	1	`(*.f64 b b)`
49.7%	1	`b`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

-23.2MiB live, 16.5MiB 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 (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
21.2%	1	`b`
21.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
21.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
21.2%	1	`(*.f64 b b)`
21.2%	1	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2432539570157527e+191	1.1607254713911846e+213

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6396933.66657928	229857219284941.34

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6396933.66657928	229857219284941.34

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3285984744149287e+27	3.337221003332761e+47

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.684768230440366e-5	0.0001998660815432522

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch45.0ms (0.4%)

Memory

-1.7MiB live, 78.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.081809255813035e-8	1814691325156003600.0
17.0ms	-5017341283962.994	-4240285068.4819846

Samples

28.0ms

304×

valid

Compiler

Compiled 663 to 384 computations (42.1% saved)

Precisions

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

ival-mult: 10.0ms (46.5% of total)

ival-add: 5.0ms (23.3% of total)

ival-sub: 3.0ms (14% of total)

ival-pow2: 3.0ms (14% 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

3.6MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.081809255813035e-8	1814691325156003600.0
1.0ms	-5017341283962.994	-4240285068.4819846

Compiler

Compiled 663 to 384 computations (42.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001998660815432522	15161040.816539545

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001998660815432522	15161040.816539545

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001998660815432522	15161040.816539545

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0001998660815432522	15161040.816539545

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	0.0001998660815432522	15161040.816539545

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	1.119081598688027e+73	7.072832350984447e+88

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	1.119081598688027e+73	7.072832350984447e+88

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch37.0ms (0.3%)

Memory

-14.0MiB live, 64.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.3452677003313607e+36	2.659479714339714e+44
12.0ms	3.634716250460623e-115	5.560228202546384e-114

Samples

23.0ms

240×

valid

Compiler

Compiled 366 to 209 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (51.5% of total)

ival-add: 4.0ms (22.9% of total)

ival-sub: 2.0ms (11.4% of total)

ival-pow2: 2.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.3%)

Memory

4.9MiB live, 86.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.081809255813035e-8	1814691325156003600.0
19.0ms	-1.26120165781482e+54	-1.042146141303826e+47

Samples

24.0ms

272×

valid

Compiler

Compiled 476 to 283 computations (40.5% saved)

Precisions

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

ival-mult: 9.0ms (48.9% of total)

ival-add: 4.0ms (21.7% of total)

ival-sub: 2.0ms (10.9% of total)

ival-pow2: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.269093364873475e+148	2.8547525670835795e+150

Samples

10.0ms

112×

valid

Compiler

Compiled 190 to 121 computations (36.3% saved)

Precisions

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

ival-mult: 4.0ms (52.7% of total)

ival-add: 2.0ms (26.3% of total)

ival-sub: 1.0ms (13.2% of total)

ival-pow2: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.2%)

Memory

-33.4MiB live, 44.8MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
22×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	2325
1	232	2325
2	245	2325
3	256	2325
4	260	2325
5	261	2325

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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (.f64 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #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 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (.f64 a a)) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) a))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) a)))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a (+.f64 #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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 7624841658832241/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (if (<=.f64 b #s(literal 13999999999999999118149397339487338496 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal -359999999999999985928796559652172183617903261646848 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 320000 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 a (.f64 a (*.f64 a a))))))
(if (<=.f64 b #s(literal 2800000000000000091707414141946026963469497616885799491383533605895092370468339868461492774805003890733775911498005927386092011780619117761973771567104 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) (+ (* 4 a) 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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 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 b (fma.f64 a (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) b (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (.f64 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal 200000000000000014511834319463755672206068485756227456491366879679442034498413781489041363634864839034812519537373514423226695063272748275429807315600786435844252490365053846416064219908669440 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) a (fma.f64 #s(approx (+ ( a (* a 2)) (+ (* b b) (+ (* a -12) 4))) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) (.f64 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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.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 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (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) (fma.f64 (.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal -12 binary64)) (fma.f64 b b #s(literal 4 binary64)))) b #s(approx (+ ( (* a a) (+ (* a (+ a 4)) 4)) -1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 a a) (fma.f64 a (+.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) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal 10000000 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 a (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) #s(literal 4 binary64)) (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) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 a #s(literal 1 binary64))) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))))) #s(literal 2000000000000000026575110144 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #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 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (.f64 a a)) #s(approx (+ ( (* b b) (+ (* 4 (+ (* a -3) 1)) (+ (* b b) (* 2 (* a a))))) -1) (.f64 b (.f64 b (*.f64 b b)))))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) a))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))) a)))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))))))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 a (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))))))
(if (<=.f64 a #s(literal -4300000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))) (if (<=.f64 a #s(literal 11/2 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (* (* a (* a (* a a))) (+ 1 (/ (+ 4 (/ (+ (* b (* b 2)) 4) a)) a))) (.f64 (.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a (fma.f64 a (+.f64 a #s(literal 4 binary64)) #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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a (+.f64 #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 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) (+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 a (.f64 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 (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 7378697629483821/36893488147419103232 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 19999999999999999660673935899226515960618160481369312643676908399133458432 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) (+ (* 4 a) 4)) (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 7624841658832241/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (if (<=.f64 b #s(literal 13999999999999999118149397339487338496 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))))
(if (<=.f64 a #s(literal -359999999999999985928796559652172183617903261646848 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 320000 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 a (.f64 a (*.f64 a a))))))
(if (<=.f64 b #s(literal 2800000000000000091707414141946026963469497616885799491383533605895092370468339868461492774805003890733775911498005927386092011780619117761973771567104 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) (+ (* 4 a) 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) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 a) 4))) -1) #s(literal -1 binary64)))

soundness2.1s (16.6%)

Memory

41.3MiB live, 912.2MiB allocated

Rules

22 048×	`lower-fma.f64`
22 048×	`lower-fma.f32`
17 134×	`lower-fma.f64`
17 134×	`lower-fma.f32`
13 942×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	452
0	93	432
1	432	422
2	3910	422
0	9229	378
0	80	602
0	118	581
1	595	553
2	5098	553
0	8120	523
0	329	7385
1	1068	7108
2	3187	6730
3	7515	6730
0	8199	6114
0	304	7628
1	998	7248
2	3072	6821
3	6753	6608
0	8328	5906
0	63	522
0	97	511
1	539	469
2	4786	469
0	8691	449
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
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 388 to 509 computations (63.3% saved)

preprocess102.0ms (0.8%)

Memory: -1.3MiB live, 196.2MiB allocated
Remove: (abs b)
Compiler: Compiled 1 724 to 340 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (10.6%)

explain349.0ms (2.8%)

preprocess352.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify422.0ms (3.3%)

localize91.0ms (0.7%)

series19.0ms (0.2%)

simplify453.0ms (3.6%)

rewrite421.0ms (3.3%)

eval127.0ms (1%)

prune108.0ms (0.9%)

simplify391.0ms (3.1%)

localize266.0ms (2.1%)

series72.0ms (0.6%)

simplify521.0ms (4.1%)

rewrite581.0ms (4.6%)

eval524.0ms (4.1%)

prune469.0ms (3.7%)

simplify466.0ms (3.7%)

localize174.0ms (1.4%)

series36.0ms (0.3%)

simplify438.0ms (3.5%)

rewrite327.0ms (2.6%)

eval231.0ms (1.8%)

prune229.0ms (1.8%)

simplify319.0ms (2.5%)

localize239.0ms (1.9%)

series30.0ms (0.2%)

simplify279.0ms (2.2%)

rewrite297.0ms (2.4%)

eval129.0ms (1%)

prune162.0ms (1.3%)

regimes78.0ms (0.6%)

regimes54.0ms (0.4%)

regimes38.0ms (0.3%)

regimes33.0ms (0.3%)

regimes17.0ms (0.1%)

regimes29.0ms (0.2%)

regimes32.0ms (0.2%)

regimes7.0ms (0.1%)

regimes19.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.4%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.3%)

bsearch41.0ms (0.3%)

bsearch16.0ms (0.1%)

simplify26.0ms (0.2%)

soundness2.1s (16.6%)

preprocess102.0ms (0.8%)

end0.0ms (0%)

Profiling