Metrics for Bouland and Aaronson, Equation (25)

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.5s (12.9%)

Memory

47.0MiB live, 2 107.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 967.0ms

ival-mult: 502.0ms (51.9% of total)

ival-add: 194.0ms (20.1% of total)

ival-pow2: 144.0ms (14.9% of total)

ival-sub: 107.0ms (11.1% of total)

exact: 11.0ms (1.1% of total)

ival-true: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess482.0ms (4%)

Memory

-13.3MiB live, 851.5MiB 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 b (*.f64 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 b b (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))

Symmetry

(abs b)

explain376.0ms (3.2%)

Memory

17.4MiB live, 697.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
55	-	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))))))`
37	-	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))))`
16	-	1	(-5.589010565711763e+84 5.439724705336148e-158)	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	-	0	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(+.f64 #s(literal 1 binary64) a)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	-	0	-	`b`
0	-	0	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`	nan-rescue	55	0
↳	`(*.f64 b b)`	overflow	69
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	157
↳	`(*.f64 a a)`	overflow	59
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	114
↳	`(*.f64 b b)`	overflow	69
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	79
↳	`(*.f64 a a)`	overflow	59
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	90
↳	`(+.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	132
↳	`(.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	132
`+.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	37	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	79
↳	`(*.f64 a a)`	overflow	59
↳	`(*.f64 b b)`	overflow	69
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	90

Confusion

	Predicted +	Predicted -
+	68	0
-	0	188

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	68	0	0
-	0	0	188

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	188
1	44
2	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	476×	0	valid
36.0ms	24×	1	valid
5.0ms	12×	2	valid

Compiler

Compiled 372 to 80 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 19.0ms (43.9% of total)

ival-add: 10.0ms (23.1% of total)

ival-pow2: 6.0ms (13.9% of total)

ival-sub: 5.0ms (11.6% of total)

adjust: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

73.3%

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify503.0ms (4.2%)

Memory

-5.4MiB live, 717.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 b (.f64 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 b b (fma.f64 a a (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)

localize85.0ms (0.7%)

Memory

-9.6MiB live, 103.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
✓	accuracy	94.5%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	86.6%	(+.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	82.9%	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

28.0ms	238×	0	valid
28.0ms	12×	1	valid
2.0ms	6×	2	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

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

adjust: 26.0ms (54.9% of total)

ival-mult: 11.0ms (23.2% of total)

ival-add: 5.0ms (10.6% of total)

ival-pow2: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB 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
1.0ms	b	@	0	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
1.0ms	a	@	0	(pow (+ (* a a) (* b b)) 2)
1.0ms	b	@	0	(pow (+ (* a a) (* b b)) 2)
0.0ms	a	@	inf	(pow (+ (* a a) (* b b)) 2)
0.0ms	b	@	0	(* (* b b) (- 1 (* 3 a)))

simplify511.0ms (4.3%)

Memory

6.6MiB live, 784.7MiB 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))

rewrite486.0ms (4.1%)

Memory

39.3MiB live, 846.7MiB allocated

Algorithm

1×	batch-egg-rewrite

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))))

eval142.0ms (1.2%)

Memory: -19.2MiB live, 195.4MiB allocated
Compiler: Compiled 60 088 to 2 575 computations (95.7% saved)

prune99.0ms (0.8%)

Memory

-0.3MiB live, 239.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	675	9	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	676	9	685

Accuracy

100.0%

Counts

685 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))))
	73.3%	(-.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))
▶	59.4%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1 binary64))
	68.5%	(-.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))
▶	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	69.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	47.3%	#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 #s(literal 4 binary64) a))))
	48.2%	#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))))
▶	46.9%	#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 366 to 190 computations (48.1% saved)

simplify715.0ms (6%)

Memory

-22.6MiB live, 575.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))))
✓	cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 (.f64 b (.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	cost-diff	192	(fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
✓	cost-diff	2496	(.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 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(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	(fma.f64 b b #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 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 a a (*.f64 b b))
✓	cost-diff	0	(/.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))))
✓	cost-diff	192	(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)))
✓	cost-diff	1408	(/.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)))))

Rules

18 976×	`lower-fma.f32`
18 950×	`lower-fma.f64`
3 624×	`lower-+.f64`
3 624×	`lower-+.f32`
3 502×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	564
0	89	527
1	224	502
2	632	502
3	2093	502
4	6114	487
0	8468	472

Stop Event

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

Calls

Call 1

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

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

localize509.0ms (4.3%)

Memory

-0.9MiB live, 234.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.6%	(/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))
✓	accuracy	79.4%	(fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64))
✓	accuracy	69.2%	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))))
✓	accuracy	60.8%	(.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 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
✓	accuracy	99.9%	(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	69.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 b b #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	70.5%	#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	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	47.0%	#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))))
✓	accuracy	99.8%	(*.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.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))))
✓	accuracy	89.4%	(fma.f64 a (fma.f64 a a a) (.f64 b (.f64 b (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))))
✓	accuracy	82.1%	(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)))

Samples

218.0ms	238×	0	valid
87.0ms	6×	2	valid
77.0ms	12×	1	valid

Compiler

Compiled 533 to 55 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-mult: 175.0ms (48.7% of total)

ival-add: 88.0ms (24.5% of total)

adjust: 84.0ms (23.4% of total)

ival-div: 7.0ms (1.9% of total)

ival-pow2: 3.0ms (0.8% of total)

ival-sub: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series88.0ms (0.7%)

Memory

-17.3MiB live, 91.6MiB allocated

Counts

23 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
40.0ms	a	@	inf	(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))
2.0ms	a	@	-inf	(* (* b (* b (* b b))) (+ (* 4 (/ (+ (* a -3) 1) (* b b))) (+ (* (* a a) (/ 2 (* b b))) 1)))
1.0ms	b	@	0	(/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))
1.0ms	b	@	0	(/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1))))
1.0ms	b	@	0	(* (* b (* b (* b b))) (+ (* 4 (/ (+ (* a -3) 1) (* b b))) (+ (* (* a a) (/ 2 (* b b))) 1)))

simplify391.0ms (3.3%)

Memory

16.1MiB live, 710.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 556×	`lower-fma.f64`
11 556×	`lower-fma.f32`
6 264×	`lower-*.f64`
6 264×	`lower-*.f32`
3 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	8896
1	1452	8534
2	4835	8110
0	8191	7459

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 455

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 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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)) (pow b 4)) 1))
(+ (* 12 (/ (* a (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* -1 (* a (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))))) (* -12 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* a (- (* -1 (* a (+ (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (+ (* 12 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (* 12 (/ (* (pow b 2) (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))))))) (+ (* -144 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))))) (* -12 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (- (+ 1 (/ 12 (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -12 (pow b 2)) (+ (* -4 (+ 4 (* 2 (pow b 2)))) (* 4 (- 12 (* 2 (pow b 2)))))) (pow a 3))) (/ 12 (pow a 2)))) (+ (* 2 (/ (pow b 2) (pow a 2))) (* 4 (/ 1 a)))) (pow a 4))
(/ 1 (pow a 4))
(/ (- 1 (* 4 (/ 1 a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 2 (pow b 2))) a))) a))) (pow a 4))
(/ (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- (+ 12 (+ (* -4 (/ (- 12 (* 2 (pow b 2))) a)) (+ (* 4 (/ (+ 4 (* 2 (pow b 2))) a)) (* 12 (/ (pow b 2) a))))) (* 2 (pow b 2))) a))) a))) (pow a 4))
(/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2))) (* 4 (/ (+ 1 (* -3 a)) (pow (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2)) (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4))))))) (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))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(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))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(* (pow b 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) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(+ (* -12 (* a (pow b 2))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))))
(+ (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2))))) (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (pow a 2)))))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (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 4) (+ 1 (* 4 (/ 1 (pow b 2))))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(+ 1 (* 4 (/ 1 (pow b 2))))
(+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2)))))
(+ 1 (+ (* 4 (/ 1 (pow b 2))) (* a (- (* 2 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(+ 1 (+ (* 4 (/ 1 (pow b 2))) (* a (- (* 2 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* 2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (* 2 (/ 1 (pow b 2))) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (- (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* (pow a 2) (- (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2))))) (/ 12 (* a (pow b 2)))))
(* 2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (* 2 (/ 1 (pow b 2))) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))) a)) (* 2 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 4 (/ 1 (pow b 2)))) a)) (* 12 (/ 1 (pow b 2)))) a)) (* 2 (/ 1 (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))
(/ (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) (pow b 2))
(/ (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2))) (pow b 2))
1
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))
1
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (pow b 2)))))
(+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 1 (* -3 a)) (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)))
(* a (+ a (pow a 2)))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(+ (* a (+ a (pow a 2))) (* (pow b 2) (+ 1 (* -3 a))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 a)))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* -3 a) (/ (* a (+ a (pow a 2))) (pow b 2)))))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
(* b (+ 1 (* -3 a)))
b
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(+ b (* -3 (* a b)))
(* -3 (* a b))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(* a (+ (* -3 b) (/ b a)))
(* -3 (* a b))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
(* -1 (* a (+ (* -1 (/ b a)) (* 3 b))))
1
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(* 2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* 2 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* (pow a 2) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))
(* 2 (/ (pow a 2) (pow b 2)))
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow b 2))
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow b 2))
(/ (+ (* 2 (pow a 2)) (pow b 2)) (pow b 2))
1
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
1
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(+ 1 (* 2 (/ (pow a 2) (pow b 2))))
(/ 1 (pow b 2))
(+ (* -3 (/ a (pow b 2))) (/ 1 (pow b 2)))
(+ (* -3 (/ a (pow b 2))) (/ 1 (pow b 2)))
(+ (* -3 (/ a (pow b 2))) (/ 1 (pow b 2)))
(* -3 (/ a (pow b 2)))
(* a (- (/ 1 (* a (pow b 2))) (* 3 (/ 1 (pow b 2)))))
(* a (- (/ 1 (* a (pow b 2))) (* 3 (/ 1 (pow b 2)))))
(* a (- (/ 1 (* a (pow b 2))) (* 3 (/ 1 (pow b 2)))))
(* -3 (/ a (pow b 2)))
(* -1 (* a (- (* 3 (/ 1 (pow b 2))) (/ 1 (* a (pow b 2))))))
(* -1 (* a (- (* 3 (/ 1 (pow b 2))) (/ 1 (* a (pow b 2))))))
(* -1 (* a (- (* 3 (/ 1 (pow b 2))) (/ 1 (* a (pow b 2))))))
(/ (+ 1 (* -3 a)) (pow b 2))
(/ (+ 1 (* -3 a)) (pow b 2))
(/ (+ 1 (* -3 a)) (pow b 2))
(/ (+ 1 (* -3 a)) (pow b 2))
(/ (+ 1 (* -3 a)) (pow 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))

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

rewrite426.0ms (3.6%)

Memory

-18.4MiB live, 692.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 580×	`lower-fma.f32`
4 554×	`lower-fma.f64`
3 924×	`lower-*.f32`
3 906×	`lower-*.f64`
3 598×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	475
0	89	442
1	465	419
2	4161	419
0	9357	405

Stop Event

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

Counts

23 → 748

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)))) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))))
(+.f64 (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b)))) (-.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) #s(literal -1 binary64))
(+.f64 (.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 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)))
(+.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))
(+.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b)))))
(exp.f64 (log.f64 (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 (fma.f64 b (.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (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 (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a a a) (.f64 b (fma.f64 b (*.f64 a #s(literal -3 binary64)) b))))) #s(literal 1 binary64))
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(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b 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)))) (fma.f64 (.f64 b b) (.f64 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 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (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 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (fma.f64 (.f64 b b) (.f64 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 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (*.f64 b b))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (*.f64 b b)))))))
(/.f64 (neg.f64 (.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 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 b b) (.f64 a a)))
(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (exp.f64 (log.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (exp.f64 (log.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (exp.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (neg.f64 (-.f64 (.f64 b b) (.f64 a a))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64))
(pow.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 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 b b) (.f64 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 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (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 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (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 a (.f64 a (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 a) (log.f64 (*.f64 a a))))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a a))))
(.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 (log.f64 (.f64 a 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 #s(literal 1 binary64) (.f64 a (*.f64 a a)))
(.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 (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 (log.f64 (*.f64 a a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(*.f64 a a)
(.f64 (.f64 a a) #s(literal 1 binary64))
(*.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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(+.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b (.f64 b (.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (.f64 b b) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) (.f64 (.f64 b b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) (.f64 (.f64 b b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 b b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) (.f64 b (fma.f64 b b #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 b b) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(+.f64 (*.f64 b b) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
(-.f64 (/.f64 (.f64 b (.f64 b (*.f64 b b))) (fma.f64 b b #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 b b #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 b b) #s(literal 4 binary64))
(fma.f64 b b #s(literal 4 binary64))
(fma.f64 (*.f64 b b) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (.f64 b (.f64 b b)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b #s(literal -4 binary64)) (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64)))))
(/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (fma.f64 b (.f64 b (.f64 b b)) #s(literal -16 binary64)) (fma.f64 b b #s(literal -4 binary64)))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 9 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.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 b b))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64)) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 b b)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64)) (/.f64 #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 #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 #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 #s(literal 1 binary64) (.f64 b b)))) (neg.f64 (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))
(pow.f64 (/.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)))
(.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 (neg.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) b))
(.f64 (pow.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64))) #s(literal -1 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 (pow.f64 (/.f64 (.f64 b b) (fma.f64 (.f64 a (.f64 a a)) #s(literal 27 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal 9 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 b b) (fma.f64 (*.f64 a a) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 3 binary64) #s(literal 1 binary64))))

eval223.0ms (1.9%)

Memory: 51.8MiB live, 348.9MiB allocated
Compiler: Compiled 64 780 to 3 390 computations (94.8% saved)

prune192.0ms (1.6%)

Memory

-36.3MiB live, 387.3MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1 395	11	1 406
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 401	14	1 415

Accuracy

100.0%

Counts

1 415 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)) (.f64 b (.f64 b (*.f64 b b))))))
▶	73.3%	(-.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))
▶	46.9%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
▶	51.8%	#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)))
	69.4%	#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)))
▶	38.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	47.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	46.9%	#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))))
▶	23.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 340 to 178 computations (47.6% saved)

simplify517.0ms (4.3%)

Memory

2.5MiB live, 674.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #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)) (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) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 (.f64 a a) (*.f64 a a))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
✓	cost-diff	0	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
✓	cost-diff	128	(+.f64 (/.f64 (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))))))
✓	cost-diff	128	(-.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))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

27 204×	`lower-fma.f32`
27 196×	`lower-fma.f64`
4 072×	`lower-+.f32`
4 066×	`lower-+.f64`
3 098×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	449
0	88	440
1	197	412
2	485	408
3	1234	401
4	3945	401
5	6151	401
0	8159	365

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.1%)

Memory

1.0MiB live, 235.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	69.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	accuracy	48.9%	#s(approx (+ (* a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	50.0%	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
✓	accuracy	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
✓	accuracy	48.2%	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
✓	accuracy	94.5%	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
✓	accuracy	86.6%	(+.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	82.9%	(+.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))))))

Samples

71.0ms	238×	0	valid
7.0ms	12×	1	valid
4.0ms	6×	2	valid

Compiler

Compiled 399 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 25.0ms (39.2% of total)

ival-add: 20.0ms (31.4% of total)

ival-div: 6.0ms (9.4% of total)

ival-sub: 6.0ms (9.4% of total)

ival-pow2: 3.0ms (4.7% of total)

adjust: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

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

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

series22.0ms (0.2%)

Memory

-6.6MiB live, 35.5MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
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#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 (pow b 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())

Calls

84 calls:

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

simplify494.0ms (4.1%)

Memory

36.9MiB live, 474.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 580×	`lower-fma.f64`
19 580×	`lower-fma.f32`
4 490×	`lower-+.f64`
4 490×	`lower-+.f32`
3 974×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	5782
1	985	5547
2	2829	5250
0	8105	4841

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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)) 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)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 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))))
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)))))
(* (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)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))

Outputs
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.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 #s(literal 2 binary64)) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (*.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 #s(literal 2 binary64)) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (*.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 (.f64 b b)) (.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 (.f64 b b)) (.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a))))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 (.f64 b 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)))))
(.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (*.f64 b b))) #s(literal 1 binary64))))
(pow b 4)
(.f64 (.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 (.f64 b 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)))))
(.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (*.f64 b b))) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (*.f64 b b))) #s(literal 1 binary64))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 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 a #s(literal -12 binary64) #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 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (.f64 #s(literal 2 binary64) a)) #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))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 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 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 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)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 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 b b) (fma.f64 a (+.f64 #s(literal -12 binary64) (.f64 #s(literal 2 binary64) a)) #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 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (.f64 #s(literal 2 binary64) a)) #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 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (.f64 #s(literal 2 binary64) a)) #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)
(.f64 (.f64 b 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)
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(pow a 3)
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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)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (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)
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(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
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(* (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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(- (+ (* 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 (.f64 b 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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(.f64 (.f64 b b) (*.f64 b b))
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(pow a 4)
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(pow a 4)
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(pow a 4)
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-1
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(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (.f64 a a) (.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a a) (pow.f64 b #s(literal 8 binary64))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 b b) (/.f64 (.f64 b b) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (.f64 b (fma.f64 b (/.f64 (neg.f64 (.f64 b b)) (pow.f64 a #s(literal 8 binary64))) (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 (.f64 b b) (.f64 b b))) #s(literal 1 binary64)) (/.f64 (.f64 a a) (.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))

rewrite346.0ms (2.9%)

Memory

-0.3MiB live, 314.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 086×	`lower-fma.f32`
4 078×	`lower-fma.f64`
3 240×	`lower-*.f32`
3 226×	`lower-*.f64`
2 744×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	380
0	88	367
1	431	339
2	3921	339
0	8278	293

Stop Event

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

Counts

18 → 466

Calls

Call 1

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

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

eval183.0ms (1.5%)

Memory: -28.1MiB live, 130.4MiB allocated
Compiler: Compiled 39 066 to 1 953 computations (95% saved)

prune175.0ms (1.5%)

Memory

22.6MiB live, 186.4MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	921	4	925
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	924	15	939

Accuracy

100.0%

Counts

939 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)) (.f64 b (.f64 b (*.f64 b b))))))
	73.3%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal -1/2 binary64)) #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))
▶	99.0%	(-.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
▶	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (pow.f64 a #s(literal 4 binary64)))
▶	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	46.9%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
▶	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	70.5%	#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)))
✓	51.8%	#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)))
	69.4%	#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)))
✓	38.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	46.9%	#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))))
✓	23.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 354 to 184 computations (48% saved)

simplify611.0ms (5.1%)

Memory

-3.2MiB live, 676.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (pow.f64 a #s(literal 4 binary64)))
✓	cost-diff	5504	(pow.f64 a #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.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 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	cost-diff	640	(fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (*.f64 b b))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	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 a (*.f64 b b))
✓	cost-diff	128	(+.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
✓	cost-diff	128	(-.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

26 068×	`lower-fma.f32`
26 060×	`lower-fma.f64`
4 668×	`lower-+.f32`
4 666×	`lower-+.f64`
2 584×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	420
0	76	392
1	183	359
2	450	359
3	1204	359
4	4051	359
5	6338	359
0	8093	324

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.3%)

Memory

17.2MiB live, 172.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 a #s(literal 4 binary64))
✓	accuracy	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (pow.f64 a #s(literal 4 binary64)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.9%	(.f64 (.f64 b b) (*.f64 b b))
✓	accuracy	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	69.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	48.7%	#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
✓	accuracy	82.9%	(+.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
✓	accuracy	46.2%	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))

Samples

85.0ms

256×

valid

Compiler

Compiled 377 to 51 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 36.0ms (52.5% of total)

ival-add: 17.0ms (24.8% of total)

ival-div: 6.0ms (8.7% of total)

ival-pow: 4.0ms (5.8% of total)

ival-sub: 3.0ms (4.4% of total)

ival-pow2: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

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

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

series20.0ms (0.2%)

Memory

-4.5MiB live, 33.6MiB allocated

Counts

18 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

simplify446.0ms (3.7%)

Memory

-3.6MiB live, 602.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 236×	`lower-fma.f64`
19 236×	`lower-fma.f32`
4 496×	`lower-+.f64`
4 496×	`lower-+.f32`
4 036×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	5644
1	979	5451
2	2768	5154
3	7995	5154
0	8617	4762

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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)) 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)
(+ (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))))
(- (+ (* 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 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(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 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)
(- (+ (* 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 (* a (+ a (pow a 2)))) (pow a 4)) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* a (+ a (pow a 2)))) (+ (* (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (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 (/ (* a (+ a (pow a 2))) (pow b 4))) (+ (* 4 (/ (+ 1 (* -3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (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)))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (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 #s(literal 2 binary64) (.f64 a a) (.f64 b b)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b))) (.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 #s(literal 2 binary64) (.f64 a a) (.f64 b b))) (.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)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.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)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.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)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.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)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (/.f64 (.f64 b (.f64 b b)) (.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 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b))) (.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 #s(literal 2 binary64) (.f64 a a) (.f64 b b))) (.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)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.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)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.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)
(.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)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.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)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(- (+ (* 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 a #s(literal -12 binary64) #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 (*.f64 b 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)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a (fma.f64 a a a)) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (.f64 #s(literal 2 binary64) a)) #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))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) a) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 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 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 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 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 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 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 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 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 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 2 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))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 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))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(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))) (+.f64 (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)) (.f64 b b)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 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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(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))

rewrite287.0ms (2.4%)

Memory

-11.1MiB live, 424.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 678×	`lower-fma.f32`
4 670×	`lower-fma.f64`
3 568×	`lower-*.f32`
3 558×	`lower-*.f64`
3 048×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	372
0	76	344
1	421	311
2	3838	311
0	8745	270

Stop Event

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

Counts

18 → 372

Calls

Call 1

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

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

eval113.0ms (0.9%)

Memory: 19.2MiB live, 173.7MiB allocated
Compiler: Compiled 28 926 to 1 894 computations (93.5% saved)

prune154.0ms (1.3%)

Memory

-13.2MiB live, 201.1MiB allocated

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	917	3	920
Fresh	2	2	4
Picked	1	4	5
Done	0	6	6
Total	920	15	935

Accuracy

100.0%

Counts

935 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)) (.f64 b (.f64 b (*.f64 b b))))))
	80.4%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (pow.f64 b #s(literal 4 binary64)))
✓	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (pow.f64 a #s(literal 4 binary64)))
	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b (*.f64 b b)) b))
✓	48.2%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	46.9%	#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
✓	70.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	70.5%	#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)))
✓	51.8%	#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)))
	69.4%	#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)))
✓	38.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	46.9%	#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))))
✓	23.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 575 to 173 computations (69.9% saved)

regimes43.0ms (0.4%)

Memory

-1.3MiB live, 77.4MiB allocated

Counts

28 → 1

Calls

Call 1

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

Calls

5 calls:

9.0ms	(*.f64 b b)
9.0ms	b
8.0ms	a
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
99.0%	1	`a`
99.0%	1	`b`
99.0%	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))`
99.0%	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))))))`
99.0%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes31.0ms (0.3%)

Memory

11.3MiB live, 48.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(*.f64 b b)
6.0ms	b
6.0ms	a
6.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
5.0ms	(-.f64 (+.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`
85.6%	3	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
85.6%	3	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
99.7%	2	`(*.f64 b b)`
94.9%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes15.0ms (0.1%)

Memory

-20.8MiB live, 20.4MiB 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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 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 (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)))) (.f64 (.f64 b (*.f64 b b)) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 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 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) (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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (.f64 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 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) (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 b (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* 4 (+ (* a (+ (* a a) a)) (* b (* b (+ (* a -3) 1))))) -1)) (.f64 b (.f64 b (*.f64 b b))))))

Outputs

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

Calls

2 calls:

8.0ms	(*.f64 b b)
6.0ms	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

17.3MiB live, 17.3MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

2 calls:

5.0ms	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)

regimes10.0ms (0.1%)

Memory

-23.1MiB live, 16.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.8%	2	`b`
94.8%	2	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes13.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.9%	3	`a`
81.8%	2	`b`
81.8%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

-30.3MiB live, 8.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
94.2%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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:

3.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
81.9%	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))`
81.9%	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`

Compiler

Compiled 67 to 39 computations (41.8% saved)

regimes10.0ms (0.1%)

Memory

-18.9MiB live, 19.9MiB 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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

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

Results

Accuracy	Segments	Branch
59.5%	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))`
59.5%	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))))))`
69.0%	2	`b`
69.0%	2	`(*.f64 b b)`
69.2%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Results

Accuracy	Segments	Branch
47.6%	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))`
47.6%	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))))))`
47.6%	1	`a`
47.6%	1	`b`
47.6%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
23.1%	1	`(*.f64 b b)`
23.1%	1	`b`
23.1%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
23.1%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
23.1%	1	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29.628241345483836	172.57576327112076

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	29.628241345483836	172.57576327112076

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch3.0ms (0%)

Memory

-40.2MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	29.628241345483836	172.57576327112076

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	29.628241345483836	172.57576327112076

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch27.0ms (0.2%)

Memory

5.6MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.343893554403286e+24	1.654379583090307e+25
14.0ms	-17640903577508182.0	-78387207135008.05

Samples

16.0ms

176×

valid

Compiler

Compiled 300 to 177 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.8% of total)

ival-add: 3.0ms (25.4% of total)

ival-pow2: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.343893554403286e+24	1.654379583090307e+25
0.0ms	-17640903577508182.0	-78387207135008.05

Compiler

Compiled 300 to 155 computations (48.3% saved)

bsearch14.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.343893554403286e+24	1.654379583090307e+25
12.0ms	-17640903577508182.0	-78387207135008.05

Samples

8.0ms

96×

valid

Compiler

Compiled 278 to 166 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (46.9% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

ival-pow2: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

-7.1MiB live, 30.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.359651968174305e+300	6.900909725742039e+304

Samples

13.0ms

128×

valid

Compiler

Compiled 194 to 127 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (57.5% of total)

ival-add: 2.0ms (19.2% of total)

ival-sub: 1.0ms (9.6% of total)

ival-pow2: 1.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Memory

-16.6MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
12×	`*-commutative_binary64`
8×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	986
1	106	986
2	111	986
3	120	986

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 50 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))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 50 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 (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -1350000000000000 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 8800000000000000067108864 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -1350000000000000 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 8800000000000000067108864 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) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -80000000000000 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 8499999999999999588958208 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 (.f64 b b) #s(literal 20999999999999999698856003756265613941422841949765213489323306059279482269118436917265818517267676518278904436118966484945797730000402482459412164086129858485272062658797565139369961527288428889350777134357323193340902681278563735953612928305664189165863034876087963336229849510204270418540158130281512960 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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Outputs
(-.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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #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) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 50 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))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 50 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))) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b))) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 (.f64 b b)) b (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 50 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 b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -1350000000000000 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 8800000000000000067108864 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -1350000000000000 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 8800000000000000067108864 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) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -80000000000000 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 8499999999999999588958208 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 (.f64 b b) #s(literal 20999999999999999698856003756265613941422841949765213489323306059279482269118436917265818517267676518278904436118966484945797730000402482459412164086129858485272062658797565139369961527288428889350777134357323193340902681278563735953612928305664189165863034876087963336229849510204270418540158130281512960 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 (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.1s (9.6%)

Memory

25.4MiB live, 917.5MiB allocated

Rules

22 048×	`lower-fma.f64`
22 048×	`lower-fma.f32`
19 580×	`lower-fma.f64`
19 580×	`lower-fma.f32`
19 236×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	475
0	89	442
1	465	419
2	4161	419
0	9357	405
0	440	8896
1	1452	8534
2	4835	8110
0	8191	7459
0	312	5644
1	979	5451
2	2768	5154
3	7995	5154
0	8617	4762
0	311	5782
1	985	5547
2	2829	5250
0	8105	4841
0	19	102
0	32	102
1	145	102
2	1259	102
0	8258	82
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×	node limit
1×	iter limit

Compiler

Compiled 869 to 321 computations (63.1% saved)

preprocess112.0ms (0.9%)

Memory: -2.8MiB live, 115.2MiB allocated
Remove: (abs b)
Compiler: Compiled 804 to 222 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (12.9%)

preprocess482.0ms (4%)

explain376.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify503.0ms (4.2%)

localize85.0ms (0.7%)

series15.0ms (0.1%)

simplify511.0ms (4.3%)

rewrite486.0ms (4.1%)

eval142.0ms (1.2%)

prune99.0ms (0.8%)

simplify715.0ms (6%)

localize509.0ms (4.3%)

series88.0ms (0.7%)

simplify391.0ms (3.3%)

rewrite426.0ms (3.6%)

eval223.0ms (1.9%)

prune192.0ms (1.6%)

simplify517.0ms (4.3%)

localize136.0ms (1.1%)

series22.0ms (0.2%)

simplify494.0ms (4.1%)

rewrite346.0ms (2.9%)

eval183.0ms (1.5%)

prune175.0ms (1.5%)

simplify611.0ms (5.1%)

localize150.0ms (1.3%)

series20.0ms (0.2%)

simplify446.0ms (3.7%)

rewrite287.0ms (2.4%)

eval113.0ms (0.9%)

prune154.0ms (1.3%)

regimes43.0ms (0.4%)

regimes31.0ms (0.3%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch14.0ms (0.1%)

bsearch20.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.1s (9.6%)

preprocess112.0ms (0.9%)

end0.0ms (0%)

Profiling