Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 19 to 13 computations (31.6% saved)

sample887.0ms (8.2%)

Memory

22.8MiB live, 1 187.6MiB allocated

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-mult: 206.0ms (46.7% of total)

ival-add: 91.0ms (20.6% of total)

ival-pow2: 84.0ms (19.1% of total)

ival-sub: 43.0ms (9.8% of total)

exact: 7.0ms (1.6% of total)

ival-true: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain174.0ms (1.6%)

Memory

31.6MiB live, 369.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

43.0ms

512×

valid

Compiler

Compiled 151 to 40 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (37.8% of total)

ival-add: 8.0ms (30.2% of total)

ival-pow2: 5.0ms (18.9% of total)

ival-sub: 2.0ms (7.6% of total)

exact: 1.0ms (3.8% of total)

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

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

preprocess378.0ms (3.5%)

Memory

-0.5MiB live, 511.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 974×	`lower-fma.f64`
19 974×	`lower-fma.f32`
2 982×	`lower-*.f32`
2 976×	`lower-*.f64`
2 792×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	78	87
2	193	85
3	610	85
4	2137	85
5	5804	85
0	12	17
0	19	17
1	32	17
2	50	17
3	143	17
4	426	17
5	1201	17
6	2310	17
7	5528	17
8	7578	17
0	8053	15

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 b b))) #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 b b))) #s(literal 1 binary64))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify287.0ms (2.6%)

Memory

-17.2MiB live, 442.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.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 b b))) #s(literal 1 binary64))
cost-diff	5440	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Rules

19 974×	`lower-fma.f64`
19 974×	`lower-fma.f32`
2 982×	`lower-*.f32`
2 976×	`lower-*.f64`
2 792×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
0	19	64
1	32	64
2	50	64
3	143	64
4	426	64
5	1201	64
6	2310	64
7	5528	64
8	7578	64
0	8053	58

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

localize30.0ms (0.3%)

Memory

-13.5MiB live, 65.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.01171875	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
accuracy	0.11328125	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

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

ival-mult: 5.0ms (43% of total)

ival-add: 3.0ms (25.8% of total)

ival-pow2: 3.0ms (25.8% of total)

ival-sub: 1.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

6 → 120

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

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

Calls

30 calls:

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

simplify465.0ms (4.3%)

Memory

12.6MiB live, 482.7MiB allocated

Algorithm

1×	egg-herbie

Rules

24 056×	`lower-fma.f64`
24 056×	`lower-fma.f32`
5 040×	`lower-*.f64`
5 040×	`lower-*.f32`
2 602×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1488
1	240	1420
2	671	1388
3	3124	1296
4	7170	1296
0	8191	1160

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

rewrite426.0ms (3.9%)

Memory

2.7MiB live, 428.7MiB allocated

Rules

9 970×	`lower-fma.f64`
9 970×	`lower-fma.f32`
5 048×	`lower-*.f32`
5 042×	`lower-*.f64`
3 006×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	19	56
1	77	56
2	604	56
0	8066	46

Stop Event

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

Counts

6 → 530

Calls

Call 1

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

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

eval119.0ms (1.1%)

Memory: -7.5MiB live, 163.5MiB allocated
Compiler: Compiled 37 377 to 1 777 computations (95.2% saved)

prune128.0ms (1.2%)

Memory

-10.9MiB live, 225.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	640	10	650
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	641	10	651

Accuracy

100.0%

Counts

651 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.1%	(fma.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	99.9%	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
	53.0%	(-.f64 (+.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 a (.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	69.7%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	81.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
	69.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	67.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
	48.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 446 to 218 computations (51.1% saved)

simplify621.0ms (5.7%)

Memory

-103.9MiB live, 520.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b #s(literal 4 binary64))
cost-diff	0	(fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	128	(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 a (.f64 a a))
cost-diff	0	(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #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 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
cost-diff	0	(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	0	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))

Rules

20 686×	`lower-fma.f32`
20 668×	`lower-fma.f64`
3 142×	`lower-*.f32`
3 132×	`lower-*.f64`
3 112×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	289
0	52	250
1	112	244
2	254	244
3	655	244
4	1849	244
5	2930	244
6	5195	244
7	7694	244
0	8261	244

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (0.9%)

Memory

47.0MiB live, 227.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
accuracy	0.0546875	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))
accuracy	0.19808918561457542	(/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	3.6153409038302207	(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	14.045932731501425	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.04296875	(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
accuracy	0.09375	(.f64 a (.f64 a a))
accuracy	20.849903038299402	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.0625	(.f64 a (.f64 a (*.f64 a a)))
accuracy	0.09375	(.f64 a (.f64 a a))
accuracy	34.29416509623652	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
accuracy	0	(fma.f64 a a (*.f64 b b))
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 b #s(literal 4 binary64))
accuracy	0.05859375	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 291 to 32 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 16.0ms (44.6% of total)

ival-add: 13.0ms (36.2% of total)

ival-div: 3.0ms (8.4% of total)

ival-pow2: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.3%)

Memory

-9.0MiB live, 68.6MiB allocated

Counts

18 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms	b	@	0	(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms	a	@	inf	(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms	b	@	inf	(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
0.0ms	b	@	inf	(+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1)

simplify409.0ms (3.8%)

Memory

5.1MiB live, 635.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 500×	`lower-fma.f64`
17 500×	`lower-fma.f32`
5 670×	`lower-+.f64`
5 670×	`lower-+.f32`
4 614×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	6026
1	671	5843
2	2458	5636
0	8191	5270

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

rewrite524.0ms (4.8%)

Memory

-14.9MiB live, 745.9MiB allocated

Rules

4 390×	`lower-*.f32`
4 380×	`lower-*.f64`
4 246×	`lower-/.f32`
4 242×	`lower-/.f64`
3 460×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	237
0	52	200
1	256	194
2	2082	194
0	8517	185

Stop Event

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

Counts

18 → 1 345

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))))
(+.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 a a (.f64 b 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)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 b b) #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 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.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))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) a) a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) #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 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 #s(literal 1 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 b (.f64 b #s(literal 4 binary64)) #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 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) a) a)) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b)))))
(exp.f64 (log.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.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 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))))) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #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 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #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 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 b b) #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 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 b b) #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 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (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 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b #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 #s(literal 1 binary64) (fma.f64 b (.f64 b #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 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))))) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (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 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))))) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))))) (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #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 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) #s(literal 4 binary64))) (fma.f64 b (.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)))))))
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(/.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 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (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 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (exp.f64 (log.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.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 (-.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (*.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 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a a)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b))))) #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 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b 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 (+.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 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (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 (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)))
(exp.f64 (log.f64 (*.f64 b 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 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (*.f64 b b) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (.f64 (*.f64 b b) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal -4 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (*.f64 b b) #s(literal -4 binary64)))))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 b (.f64 b (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 2 binary64)))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(.f64 a (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 (.f64 a (*.f64 a a)) a)
(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 a (.f64 a a))
(.f64 (.f64 a a) a)
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(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 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))
(+.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (*.f64 a a)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (*.f64 a a))))))
(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
(fma.f64 (.f64 a (.f64 a a)) a #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (.f64 a (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal 1 binary64)) (.f64 a (.f64 (.f64 a (*.f64 a a)) #s(literal -1 binary64))))))
(.f64 (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a (.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (*.f64 a a)) #s(literal 1 binary64))))
(.f64 (fma.f64 a a #s(literal 1 binary64)) (-.f64 (.f64 a a) #s(literal 1 binary64)))
(+.f64 #s(literal 4 binary64) (.f64 a (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 a (.f64 a #s(literal 2 binary64))) #s(literal 4 binary64))
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(*.f64 b #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) b)
(+.f64 #s(literal -1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))
(+.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)) a) a) (fma.f64 b (.f64 b (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 a a (.f64 b b)) a) a)) (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a 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 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))
(-.f64 (/.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 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))))))
(fma.f64 a (.f64 a (fma.f64 a a (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b 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 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) a) a (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.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 (/.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a 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 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a 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 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))))) (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a 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 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b 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)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))) (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (.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)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))))
(.f64 (fma.f64 (fma.f64 a a (.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)))) #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)) #s(literal 1 binary64))))
(.f64 (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))) (+.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)))
(.f64 (+.f64 (fma.f64 a a (.f64 b b)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))))

eval408.0ms (3.8%)

Memory: 30.3MiB live, 560.7MiB allocated
Compiler: Compiled 136 297 to 3 317 computations (97.6% saved)

prune254.0ms (2.3%)

Memory

3.8MiB live, 506.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 996	11	2 007
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	2 004	13	2 017

Accuracy

100.0%

Counts

2 017 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a) a)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	79.3%	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 b b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	67.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))))
	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (.f64 b (.f64 b (*.f64 b b))))))
▶	69.7%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	67.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
	69.7%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	46.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
	48.3%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
▶	69.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	22.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

Compiler

Compiled 350 to 183 computations (47.7% saved)

simplify337.0ms (3.1%)

Memory

-13.7MiB live, 462.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (*.f64 b b))))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	0	(fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #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 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	0	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a) a)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	640	(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a)
cost-diff	704	(.f64 (.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a) a)

Rules

17 908×	`lower-fma.f32`
17 896×	`lower-fma.f64`
3 886×	`lower-+.f32`
3 884×	`lower-+.f64`
3 520×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	375
0	76	350
1	164	334
2	351	330
3	857	330
4	2296	315
5	3429	315
6	6895	315
0	8085	303

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.4%)

Memory

16.9MiB live, 176.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy	0.07421875	(.f64 b (.f64 b (*.f64 b b)))
accuracy	0.07421875	(.f64 b (.f64 b b))
accuracy	22.70418372812041	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 b (.f64 b (*.f64 b b))))
accuracy	0	(*.f64 b b)
accuracy	3.6153409038302207	(fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	14.045932731501425	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	31.379492269896055	#s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.11556625976844202	(.f64 (.f64 a a) (*.f64 a a))
accuracy	34.29416509623652	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	14.045932731501425	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
accuracy	42.05289832892132	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
accuracy	0.7634419995487076	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
accuracy	3.751810175047338	(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a)
accuracy	5.147904724611102	(.f64 (.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) a) a)
accuracy	8.454081955144769	(/.f64 b (*.f64 a a))

Samples

76.0ms

256×

valid

Compiler

Compiled 293 to 37 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 38.0ms (66.6% of total)

ival-add: 10.0ms (17.5% of total)

ival-div: 5.0ms (8.8% of total)

ival-pow2: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-0.1MiB live, 75.3MiB allocated

Counts

21 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(* (+ (* b (/ b (* a a))) 1) a)
1.0ms	b	@	inf	(* (* (+ (* b (/ b (* a a))) 1) a) a)
0.0ms	b	@	0	(* (* (+ (* b (/ b (* a a))) 1) a) a)
0.0ms	b	@	inf	(/ b (* a a))
0.0ms	b	@	-inf	(/ b (* a a))

simplify438.0ms (4%)

Memory

23.3MiB live, 638.4MiB allocated

Algorithm

1×	egg-herbie

Rules

30 808×	`lower-fma.f64`
30 808×	`lower-fma.f32`
6 500×	`lower-*.f64`
6 500×	`lower-*.f32`
2 834×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	5362
1	360	5030
2	1002	4754
3	4462	4578
0	8804	4067

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 429

Calls

Call 1

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

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

rewrite461.0ms (4.2%)

Memory

0.4MiB live, 480.0MiB allocated

Rules

5 354×	`lower-*.f32`
5 336×	`lower-*.f64`
4 688×	`lower-fma.f32`
4 676×	`lower-fma.f64`
2 944×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	320
0	76	297
1	359	281
2	2880	277
0	8306	257

Stop Event

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

Counts

21 → 342

Calls

Call 1

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

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

eval216.0ms (2%)

Memory: -7.2MiB live, 186.3MiB allocated
Compiler: Compiled 27 403 to 1 241 computations (95.5% saved)

prune207.0ms (1.9%)

Memory

-15.2MiB live, 185.8MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	859	4	863
Fresh	1	6	7
Picked	3	2	5
Done	0	1	1
Total	863	13	876

Accuracy

100.0%

Counts

876 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.3%	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 b b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	68.6%	(fma.f64 #s(approx (+ (* a a) (* b b)) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a) a)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	67.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))))
	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (.f64 b (.f64 b (*.f64 b b))))))
▶	67.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
	69.7%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
	46.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64)))
✓	46.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
▶	48.3%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
▶	69.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (.f64 b b) #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
	69.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal -1 binary64)))
✓	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	22.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

Compiler

Compiled 327 to 166 computations (49.2% saved)

simplify427.0ms (3.9%)

Memory

10.1MiB live, 346.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 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 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (.f64 b b) #s(approx (+ ( 2 (* a a)) 4) #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(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 b (.f64 b b))
cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	0	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 b b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	1344	(.f64 (.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))

Rules

16 276×	`lower-fma.f32`
16 262×	`lower-fma.f64`
3 538×	`lower-*.f32`
3 526×	`lower-*.f64`
2 676×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	398
0	68	343
1	146	325
2	311	313
3	827	301
4	2375	301
5	4495	301
0	8432	295

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (1.7%)

Memory

-2.0MiB live, 236.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))))
accuracy	0.05078125	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
accuracy	0.19808918561457542	(/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))))
accuracy	20.849903038299402	#s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
accuracy	0.07421875	(.f64 b (.f64 b b))
accuracy	3.5879971538302207	(fma.f64 (.f64 b b) #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	14.045932731501425	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (.f64 b b) #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy	31.379492269896055	#s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64))
accuracy	0	(*.f64 a a)
accuracy	0.05078125	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
accuracy	20.849903038299402	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
accuracy	0	(*.f64 b b)
accuracy	0.07421875	(.f64 b (.f64 b (*.f64 b b)))
accuracy	0.07421875	(.f64 b (.f64 b b))
accuracy	33.08302924984677	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
accuracy	0.05859375	(fma.f64 (fma.f64 a a (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 b b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.5167888326391818	(fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))
accuracy	6.511575685361222	(/.f64 a (*.f64 b b))
accuracy	11.68835988931535	(.f64 (.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))

Samples

107.0ms

256×

valid

Compiler

Compiled 327 to 38 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-pow2: 37.0ms (40.9% of total)

ival-mult: 36.0ms (39.8% of total)

ival-add: 11.0ms (12.2% of total)

ival-div: 5.0ms (5.5% of total)

ival-sub: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.6%)

Memory

0.8MiB live, 96.6MiB allocated

Counts

19 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
36.0ms	a	@	inf	(/ a (* b b))
8.0ms	b	@	-inf	(+ (* a (/ a (* b b))) 1)
1.0ms	a	@	inf	(* (* b b) (+ (* a (/ a (* b b))) 1))
0.0ms	a	@	-inf	(/ a (* b b))
0.0ms	a	@	0	(+ (* (* b (* b b)) b) (+ (* (* b b) (+ (* 2 (* a a)) 4)) -1))

simplify289.0ms (2.7%)

Memory

-9.8MiB live, 536.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 948×	`lower-fma.f64`
14 948×	`lower-fma.f32`
5 640×	`lower-+.f64`
5 640×	`lower-+.f32`
4 594×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	6358
1	635	6243
2	2415	5940
0	8166	5560

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

rewrite525.0ms (4.8%)

Memory

-2.9MiB live, 355.5MiB allocated

Rules

5 256×	`lower-*.f32`
5 244×	`lower-*.f64`
4 268×	`lower-fma.f32`
4 254×	`lower-fma.f64`
3 278×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	334
0	68	282
1	324	260
2	2507	257
0	8385	242

Stop Event

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

Counts

19 → 407

Calls

Call 1

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

Outputs
(+.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (*.f64 b b)))
(+.f64 (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (*.f64 b b))
(fma.f64 b b (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)))
(fma.f64 b (.f64 b #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (*.f64 b b)))
(fma.f64 b (.f64 b (/.f64 (.f64 a a) (.f64 b b))) (.f64 b b))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (*.f64 b b)))
(fma.f64 (.f64 b b) (/.f64 (.f64 a a) (.f64 b b)) (.f64 b b))
(fma.f64 a (.f64 (/.f64 a (.f64 b b)) (.f64 b b)) (.f64 b b))
(fma.f64 (/.f64 a (.f64 b b)) (.f64 a (.f64 b b)) (.f64 b b))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (*.f64 b b)))
(fma.f64 (/.f64 (.f64 a a) (.f64 b b)) (.f64 b b) (.f64 b b))
(fma.f64 (.f64 #s(literal 1 binary64) b) b (/.f64 (.f64 (.f64 b b) (.f64 a a)) (*.f64 b b)))
(fma.f64 (.f64 (/.f64 (.f64 a a) (.f64 b b)) b) b (.f64 b b))
(fma.f64 (.f64 (.f64 b b) a) (/.f64 a (.f64 b b)) (.f64 b b))
(fma.f64 (.f64 (.f64 b b) (/.f64 a (.f64 b b))) a (.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)))
(/.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (*.f64 b b)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (*.f64 b b)))
(/.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64))) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (.f64 b b)) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64)))
(.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(.f64 (.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(.f64 (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(.f64 (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) b)
(+.f64 #s(literal -1 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(+.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))))
(+.f64 (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(+.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64))))) #s(literal -1 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))))) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64))))))) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(fma.f64 b (.f64 b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64))))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64))))) (fma.f64 b b (.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(fma.f64 (.f64 b #s(literal 4 binary64)) b (+.f64 #s(literal -1 binary64) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal -4 binary64))))) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))))
(fma.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* a a) (* b b)) (.f64 b (.f64 b (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))))
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eval197.0ms (1.8%)

Memory: 14.9MiB live, 279.6MiB allocated
Compiler: Compiled 33 106 to 1 509 computations (95.4% saved)

prune154.0ms (1.4%)

Memory

11.2MiB live, 380.2MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 012	4	1 016
Fresh	2	3	5
Picked	1	4	5
Done	0	3	3
Total	1 015	14	1 029

Accuracy

100.0%

Counts

1 029 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.6%	(fma.f64 #s(approx (+ (* a a) (* b b)) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) a) a)) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	57.1%	(fma.f64 #s(approx (+ (* a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (.f64 b b) (fma.f64 a (/.f64 a (.f64 b b)) #s(literal 1 binary64)))) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	67.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))))
	48.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (.f64 (.f64 b b) (*.f64 b b)))))
✓	67.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
	69.7%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
	46.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (pow.f64 a #s(literal 4 binary64)))
	48.3%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	46.4%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 a a) (*.f64 a a)))
✓	48.3%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
✓	69.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 (.f64 b b) #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
	68.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b #s(approx (+ (* (* b b) (+ (* 2 (* a a)) 4)) -1) #s(literal -1 binary64))))
✓	46.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	22.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

Compiler

Compiled 643 to 173 computations (73.1% saved)

regimes56.0ms (0.5%)

Memory

-18.7MiB live, 137.5MiB allocated

Counts

30 → 1

Calls

Call 1

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes87.0ms (0.8%)

Memory

26.5MiB live, 105.0MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

29.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
25.0ms	b
9.0ms	a
8.0ms	(*.f64 b b)
7.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes48.0ms (0.4%)

Memory

-20.5MiB live, 89.8MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

17.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
6.0ms	(*.f64 b b)
6.0ms	a
6.0ms	b
6.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Results

Accuracy	Segments	Branch
95.1%	2	`a`
97.8%	2	`b`
81.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
81.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
95.1%	2	`(*.f64 a a)`
97.8%	2	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes21.0ms (0.2%)

Memory

-24.1MiB live, 54.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	a
5.0ms	(*.f64 b b)
5.0ms	b
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
95.1%	2	`a`
95.1%	2	`(*.f64 a a)`
93.7%	2	`b`
93.7%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.4%	2	`a`
94.4%	2	`(*.f64 a a)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory

1.2MiB live, 39.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 (*.f64 b b) (*.f64 b b)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
93.7%	2	`b`
93.7%	2	`(*.f64 b b)`
74.8%	2	`a`
74.8%	2	`(*.f64 a a)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes21.0ms (0.2%)

Memory

7.7MiB live, 48.0MiB allocated

Counts

6 → 4

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	b
3.0ms	a
3.0ms	(*.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 b b)))
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
76.8%	4	`a`
76.8%	4	`(*.f64 a a)`
69.2%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
69.2%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
72.4%	2	`b`
72.4%	2	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

-22.0MiB live, 16.2MiB allocated

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.7%	4	`a`
76.7%	4	`(*.f64 a a)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

-9.5MiB live, 29.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
67.4%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
67.4%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
46.4%	1	`b`
46.4%	1	`(*.f64 b b)`
67.1%	2	`a`
67.1%	2	`(*.f64 a a)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB 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 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
22.2%	1	`b`
22.2%	1	`(*.f64 b b)`
22.2%	1	`a`
22.2%	1	`(*.f64 a a)`
22.2%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
22.2%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.471591216110968e-19	2.233887405689676e-13

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.012744995761159	686.1263798766719

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.012744995761159	686.1263798766719

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.145092129502637e+78	1.846712114346451e+79

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.1242670189029476e+41	3.701594670443178e+42
0.0ms	3.6134813505568466e-36	2.4604062897496333e-27
0.0ms	3.1654762495695134e-202	3.1332932731571813e-191

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.1242670189029476e+41	3.701594670443178e+42
0.0ms	3.6134813505568466e-36	2.4604062897496333e-27
0.0ms	3.1654762495695134e-202	3.1332932731571813e-191

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.064128515286755e-7	470769.40916266706

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify12.0ms (0.1%)

Memory

-0.8MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	693
1	98	693
2	101	693
3	106	693

Stop Event

1×

saturated

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 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) (+ (* 2 (* a a)) 4)) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000033974485734758811904595479698395042463579996410811187623624704 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))) #s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 a a) #s(literal 5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ 1 (/ 1 (+ ( b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (.f64 b b))) (if (<=.f64 (.f64 a a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) (if (<=.f64 (.f64 a a) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (/ 1 (/ 1 (+ ( b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (.f64 b b))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (.f64 a a) #s(literal 5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (.f64 b b)))) (if (<=.f64 (.f64 a a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) (if (<=.f64 (.f64 a a) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (.f64 b b)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #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 b b))) #s(literal 1 binary64))
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 a a) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) (+ (* 2 (* a a)) 4)) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 4000000000000000033974485734758811904595479698395042463579996410811187623624704 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))) #s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (*.f64 b b))))
(if (<=.f64 (.f64 a a) #s(literal 5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (/ 1 (/ 1 (+ ( b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (.f64 b b))) (if (<=.f64 (.f64 a a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) (if (<=.f64 (.f64 a a) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (/ 1 (/ 1 (+ ( b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 (.f64 b b) (.f64 b b))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (.f64 a a) #s(literal 5515652263101987/11031304526203974597457456414861827591216226218170224705794538792432397774848431640257320003887617175667569787102671861633294128382337464639166223001902133228245297232354359845986844033174623155170927185464197384241152 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (.f64 b b)))) (if (<=.f64 (.f64 a a) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) (if (<=.f64 (.f64 a a) #s(literal 500000000000000022442856339037958392774656 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (.f64 b b)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

soundness1.5s (13.4%)

Memory

13.6MiB live, 912.1MiB allocated

Rules

30 808×	`lower-fma.f64`
30 808×	`lower-fma.f32`
24 056×	`lower-fma.f64`
24 056×	`lower-fma.f32`
17 500×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	6026
1	671	5843
2	2458	5636
0	8191	5270
0	209	6358
1	635	6243
2	2415	5940
0	8166	5560
0	119	5362
1	360	5030
2	1002	4754
3	4462	4578
0	8804	4067
0	79	1488
1	240	1420
2	671	1388
3	3124	1296
4	7170	1296
0	8191	1160
0	12	56
0	19	56
1	77	56
2	604	56
0	8066	46

Stop Event

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

Compiler

Compiled 504 to 197 computations (60.9% saved)

preprocess159.0ms (1.5%)

Memory

-12.6MiB live, 243.9MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 716 to 228 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample887.0ms (8.2%)

explain174.0ms (1.6%)

preprocess378.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify287.0ms (2.6%)

localize30.0ms (0.3%)

series9.0ms (0.1%)

simplify465.0ms (4.3%)

rewrite426.0ms (3.9%)

eval119.0ms (1.1%)

prune128.0ms (1.2%)

simplify621.0ms (5.7%)

localize102.0ms (0.9%)

series33.0ms (0.3%)

simplify409.0ms (3.8%)

rewrite524.0ms (4.8%)

eval408.0ms (3.8%)

prune254.0ms (2.3%)

simplify337.0ms (3.1%)

localize151.0ms (1.4%)

series28.0ms (0.3%)

simplify438.0ms (4%)

rewrite461.0ms (4.2%)

eval216.0ms (2%)

prune207.0ms (1.9%)

simplify427.0ms (3.9%)

localize182.0ms (1.7%)

series67.0ms (0.6%)

simplify289.0ms (2.7%)

rewrite525.0ms (4.8%)

eval197.0ms (1.8%)

prune154.0ms (1.4%)

regimes56.0ms (0.5%)

regimes87.0ms (0.8%)

regimes48.0ms (0.4%)

regimes21.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes21.0ms (0.2%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.5s (13.4%)

preprocess159.0ms (1.5%)

end0.0ms (0%)

Profiling