Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample929.0ms (7.5%)

Memory

9.4MiB live, 1 234.1MiB allocated

Samples

646.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 464.0ms

ival-mult: 196.0ms (42.3% of total)

ival-add: 106.0ms (22.9% of total)

ival-pow2: 98.0ms (21.1% of total)

ival-sub: 46.0ms (9.9% of total)

exact: 8.0ms (1.7% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess480.0ms (3.9%)

Memory

0.7MiB live, 643.1MiB 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)

explain239.0ms (1.9%)

Memory

10.0MiB live, 378.5MiB 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

70.0ms

512×

valid

Compiler

Compiled 170 to 52 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.4% of total)

ival-pow2: 8.0ms (28.3% of total)

ival-add: 7.0ms (24.8% of total)

ival-sub: 2.0ms (7.1% of total)

exact: 1.0ms (3.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)

simplify426.0ms (3.4%)

Memory

-19.6MiB live, 800.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	128	(+.f64 (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)

localize62.0ms (0.5%)

Memory

-13.4MiB live, 60.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	99.8%	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

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

ival-add: 27.0ms (76% of total)

ival-mult: 5.0ms (14.1% 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)

series7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))>
#<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))>
#<alt (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))>
#<alt (+.f64 (.f64 a a) (.f64 b b))>
#<alt (.f64 #s(literal 4 binary64) (.f64 b b))>
#<alt (*.f64 a a)>

Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))))>
#<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))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))))>
#<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))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>

Calls

30 calls:

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

simplify534.0ms (4.3%)

Memory

6.6MiB live, 917.4MiB 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)

rewrite468.0ms (3.8%)

Memory

-2.8MiB live, 629.5MiB allocated

Algorithm

1×	batch-egg-rewrite

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))))
(/.f64 (.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))))))) (fma.f64 a (.f64 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)) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.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)))))))) (neg.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 (neg.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))))) (neg.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 (neg.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)))) (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (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 (pow.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (-.f64 (.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (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))))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))) (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))) (-.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b)))) (.f64 (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (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))))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (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)))))))) (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)) (.f64 (fma.f64 a a (.f64 b b)) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (.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))))))) (fma.f64 a a (.f64 b b))) (neg.f64 (fma.f64 a (.f64 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)) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 a a (.f64 b b))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 b a)))
(/.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 a b)) (-.f64 a b))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 a a (*.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b)))
(.f64 (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))))) (fma.f64 a a (*.f64 b 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)) (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)))))) (/.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)))) (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)))))) (/.f64 (.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 (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))) (fma.f64 a a (*.f64 b b))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.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 (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (+.f64 a b) (-.f64 a b)))))
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eval165.0ms (1.3%)

Memory: 21.6MiB live, 171.2MiB allocated
Compiler: Compiled 37 377 to 1 777 computations (95.2% saved)

prune149.0ms (1.2%)

Memory

-0.5MiB live, 160.7MiB 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
▶	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)))
	36.1%	(/.f64 (fma.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 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))) (.f64 (+.f64 a b) (-.f64 a b))))) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 a b) (-.f64 a b))))
	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)))))
▶	99.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	70.4%	(-.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))
▶	79.3%	#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)))
	70.4%	#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)))
▶	66.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 468 to 200 computations (57.3% saved)

simplify654.0ms (5.3%)

Memory

-49.0MiB live, 501.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

20 432×	`lower-fma.f32`
20 418×	`lower-fma.f64`
2 926×	`lower-+.f32`
2 924×	`lower-+.f64`
2 700×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	280
0	54	269
1	106	233
2	215	233
3	497	233
4	1070	233
5	2049	233
6	4094	233
7	5989	233
0	8096	232

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.1%)

Memory

-2.3MiB live, 114.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 a a (*.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 b #s(literal 4 binary64))
✓	accuracy	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)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	89.7%	(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	75.8%	#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	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	66.3%	#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	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.9%	(.f64 a (.f64 a (*.f64 a a)))
✓	accuracy	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	accuracy	100.0%	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b)))
✓	accuracy	100.0%	(.f64 #s(literal 4 binary64) (.f64 b b))
✓	accuracy	99.9%	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))

Samples

81.0ms

256×

valid

Compiler

Compiled 274 to 32 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (50.2% of total)

ival-add: 10.0ms (26.4% of total)

ival-div: 3.0ms (7.9% of total)

ival-pow2: 3.0ms (7.9% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

19 → 348

Calls

Call 1

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

Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (+ (* 4 (pow b 2)) (pow b 4))>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))))>
#<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))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))))>
#<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))))))>
#<alt (pow a 4)>
#<alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (- (pow a 4) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- 1 (/ 1 (pow a 4))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* 4 (pow b 2))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 4 (/ 1 (pow b 2))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 (pow b 2))>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>

Calls

87 calls:

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

simplify789.0ms (6.4%)

Memory

36.5MiB live, 820.2MiB allocated

Algorithm

1×	egg-herbie

Rules

27 418×	`lower-fma.f64`
27 418×	`lower-fma.f32`
4 808×	`lower-*.f64`
4 808×	`lower-*.f32`
2 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	4944
1	472	4764
2	1302	4606
3	5382	4238
0	8226	3887

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

rewrite658.0ms (5.3%)

Memory

-17.9MiB live, 1 242.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 392×	`lower-*.f32`
6 380×	`lower-*.f64`
4 532×	`lower-/.f32`
4 528×	`lower-/.f64`
4 172×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	232
0	54	223
1	253	187
2	2193	187
0	10225	177

Stop Event

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

Counts

19 → 1 305

Calls

Call 1

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

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

eval584.0ms (4.7%)

Memory: -57.2MiB live, 839.9MiB allocated
Compiler: Compiled 125 166 to 3 357 computations (97.3% saved)

prune170.0ms (1.4%)

Memory

-8.5MiB live, 562.7MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2 014	8	2 022
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	2 019	13	2 032

Accuracy

100.0%

Counts

2 032 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))))
	80.2%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	99.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.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 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	70.4%	(-.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))
▶	70.4%	#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)))
✓	66.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
▶	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	50.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))))
▶	26.1%	#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 379 to 185 computations (51.2% saved)

simplify503.0ms (4.1%)

Memory

37.9MiB live, 870.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 a a)))
✓	cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #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) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))))
✓	cost-diff	1280	(fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))
✓	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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* 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	(*.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)))))

Rules

16 684×	`lower-fma.f32`
16 670×	`lower-fma.f64`
3 610×	`lower-+.f32`
3 608×	`lower-+.f64`
3 380×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	415
0	65	389
1	147	380
2	373	376
3	971	376
4	2575	370
5	3461	370
6	6686	370
0	8028	352

Stop Event

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

Calls

Call 1

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

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

localize329.0ms (2.7%)

Memory

-27.1MiB live, 208.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.5%	(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
✓	accuracy	83.6%	(.f64 b (.f64 a a))
✓	accuracy	80.2%	(fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))
✓	accuracy	75.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	89.7%	(fma.f64 (.f64 b b) (fma.f64 b b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	75.8%	#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	55.5%	#s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 (.f64 a a) (*.f64 a a))
✓	accuracy	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	accuracy	75.8%	#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	37.9%	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
✓	accuracy	100.0%	(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)))
✓	accuracy	100.0%	(/.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	99.9%	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(literal -1 binary64))
✓	accuracy	99.7%	(/.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))))

Samples

72.0ms

256×

valid

Compiler

Compiled 333 to 35 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 19.0ms (35.4% of total)

ival-mult: 18.0ms (33.6% of total)

ival-add: 11.0ms (20.5% of total)

ival-pow2: 3.0ms (5.6% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series22.0ms (0.2%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

21 → 444

Calls

Call 1

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

Outputs
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (/ 1 (- (pow a 4) 1))>
#<alt (+ (* -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)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 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))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow b 4))>
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ 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))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))>
#<alt (+ (* -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)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 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))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow a 4))>
#<alt (/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))>
#<alt (/ (- (+ 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))>
#<alt (/ (- (+ 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))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (* 4 b)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (+ 4 (pow b 2))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))>
#<alt -1>
#<alt (- (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) 1)>
#<alt (- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (- (pow b 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (* (pow a 2) b)>
#<alt (/ 4 (pow a 2))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>

Calls

111 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/ (+ (* b b) 4) (* a a))
1.0ms	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	b	@	inf	(+ (* (* b (* b (* a a))) (+ 2 (/ (+ (* b b) 4) (* a a)))) -1)
1.0ms	a	@	0	(+ (* (* b (* b (* a a))) (+ 2 (/ (+ (* b b) 4) (* a a)))) -1)

simplify543.0ms (4.4%)

Memory

-55.2MiB live, 655.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 794×	`lower-fma.f64`
16 794×	`lower-fma.f32`
5 790×	`lower-+.f64`
5 790×	`lower-+.f32`
4 748×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	7828
1	711	7609
2	2643	7276
0	8232	6767

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

rewrite367.0ms (3%)

Memory

16.6MiB live, 685.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 488×	`lower-*.f32`
4 476×	`lower-*.f64`
3 758×	`lower-/.f32`
3 752×	`lower-/.f64`
3 620×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	374
0	65	346
1	322	330
2	2666	330
0	8593	307

Stop Event

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

Counts

21 → 604

Calls

Call 1

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

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

eval211.0ms (1.7%)

Memory: 25.5MiB live, 371.4MiB allocated
Compiler: Compiled 50 673 to 1 951 computations (96.1% saved)

prune106.0ms (0.9%)

Memory

0.7MiB live, 279.4MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 137	4	1 141
Fresh	2	4	6
Picked	2	3	5
Done	0	2	2
Total	1 141	13	1 154

Accuracy

100.0%

Counts

1 154 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.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))))))
	80.2%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	99.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.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 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	45.5%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
▶	70.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	70.4%	#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)))
✓	66.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
▶	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	51.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))))
✓	26.1%	#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 159 computations (51.4% saved)

simplify388.0ms (3.1%)

Memory

21.3MiB live, 646.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	cost-diff	5504	(pow.f64 a #s(literal 4 binary64))
✓	cost-diff	0	(.f64 b (.f64 b (*.f64 a a)))
✓	cost-diff	0	(fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #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) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.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 b (.f64 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 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (*.f64 b b))
✓	cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.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 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (.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))))
✓	cost-diff	3008	(.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)))
✓	cost-diff	5760	(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))

Rules

17 568×	`lower-fma.f32`
17 560×	`lower-fma.f64`
2 934×	`lower-+.f32`
2 930×	`lower-+.f64`
2 764×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	512
0	77	462
1	151	456
2	309	456
3	687	456
4	1147	431
5	1977	431
6	3514	431
7	7341	431
0	8107	375

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.3%)

Memory

0.8MiB live, 248.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 a #s(literal 4 binary64))
✓	accuracy	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	accuracy	80.6%	(/.f64 (.f64 b b) (.f64 a a))
✓	accuracy	80.2%	(fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))
✓	accuracy	75.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))))
✓	accuracy	68.6%	#s(approx (/ (+ (* b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))
✓	accuracy	97.8%	(fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))
✓	accuracy	92.2%	(.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64)))
✓	accuracy	75.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	accuracy	55.5%	#s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.8%	(.f64 (.f64 b b) (*.f64 b b))
✓	accuracy	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	accuracy	100.0%	(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 a a (.f64 b b)) (.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))))
✓	accuracy	99.6%	(.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)))
✓	accuracy	53.6%	(sqrt.f64 (fma.f64 a a (*.f64 b b)))

Samples

90.0ms

256×

valid

Compiler

Compiled 394 to 42 computations (89.3% saved)

Precisions

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

ival-mult: 37.0ms (53.4% of total)

ival-add: 12.0ms (17.3% of total)

ival-div: 5.0ms (7.2% of total)

ival-pow: 5.0ms (7.2% of total)

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

ival-sub: 3.0ms (4.3% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series21.0ms (0.2%)

Memory

0.8MiB live, 40.5MiB allocated

Counts

22 → 468

Calls

Call 1

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

Outputs
#<alt (/ 1 b)>
#<alt (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b))>
#<alt (+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a))>
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#<alt (pow b 3)>
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#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (* (pow a 2) (pow b 2))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<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))))>
#<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))))>
#<alt (- (pow a 4) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))>
#<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))))>
#<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))))>
#<alt b>
#<alt (+ b (* 1/2 (/ (pow a 2) b)))>
#<alt (+ b (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ 1 b)))))>
#<alt (+ b (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow b 5))) (* 1/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 b)))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* 1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))))>
#<alt (* -1 (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2))))))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ a (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2))))))>
#<alt (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (pow a 2) (pow b 2)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (pow a 2) (pow b 2))))))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (+ 4 (* 2 (pow a 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* b (+ 4 (* 2 (pow a 2))))>
#<alt (* 4 b)>
#<alt (+ (* 2 (* (pow a 2) b)) (* 4 b))>
#<alt (+ (* 2 (* (pow a 2) b)) (* 4 b))>
#<alt (+ (* 2 (* (pow a 2) b)) (* 4 b))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)>
#<alt (* (pow b 2) (+ 4 (* 2 (pow a 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (+ 4 (* 2 (pow a 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))>
#<alt (- (* 4 (pow b 2)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (/ 4 (pow a 2))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (+ 4 (pow b 2)) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (pow b 2) (pow a 2))>

Calls

117 calls:

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

simplify544.0ms (4.4%)

Memory

-0.4MiB live, 708.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 192×	`lower-fma.f64`
16 192×	`lower-fma.f32`
5 084×	`lower-+.f64`
5 084×	`lower-+.f32`
4 974×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	7112
1	1048	6936
2	3190	6730
0	8336	6288

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 464

Calls

Call 1

Inputs
(/ 1 b)
(+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b))
(+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1 a)
(* -1 (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a))
(/ 1 a)
(+ (* -1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(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)) 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)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* (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 b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 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))))
-1
(- (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))) 1)
(- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)
(- (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (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 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 b 2))
(* (pow a 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 b 2))
(* (pow a 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 b 2))
(* (pow a 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 b 2))
(* (pow a 2) (pow b 2))
(* (pow a 2) (pow b 2))
(* (pow a 2) (pow b 2))
(* (pow a 2) (pow b 2))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 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))))
b
(+ b (* 1/2 (/ (pow a 2) b)))
(+ b (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ b (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow b 5))) (* 1/8 (/ 1 (pow b 3))))) (* 1/2 (/ 1 b)))))
a
(* a (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))
(* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2)))))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))))
(* -1 (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2))))))))
a
(+ a (* 1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
b
(* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2)))))
(* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2))))))
(* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (pow a 2) (pow b 2)))))))
(* -1 b)
(* -1 (* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2)))))))
(* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (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)))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* 4 b)
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (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))))
(/ 4 (pow a 2))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(/ (pow b 2) (pow a 2))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 4 (pow b 2)) (pow a 2))
(/ (+ 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 b 2) (pow a 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 b 2) (pow a 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 b 2) (pow a 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 b 2) (pow a 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 b 2) (pow a 2))

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a a) (.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(fma.f64 (.f64 a a) (fma.f64 a (/.f64 (.f64 a #s(literal 3/8 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(fma.f64 a (.f64 a (fma.f64 (.f64 a a) (fma.f64 #s(literal -5/16 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64)) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal -3/4 binary64) (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1 binary64)) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal -3/4 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))) #s(literal 1 binary64)) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(* -1 (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64)) (neg.f64 a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal -3/4 binary64) (.f64 a (.f64 a (.f64 a a)))))) #s(literal 1 binary64)) (neg.f64 a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (fma.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal -3/4 binary64) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (fma.f64 (.f64 b b) (.f64 (.f64 (.f64 b (.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))) #s(literal 1 binary64)) (neg.f64 a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(fma.f64 (.f64 b b) (fma.f64 b (/.f64 (.f64 b #s(literal 3/8 binary64)) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal -5/16 binary64) (/.f64 (.f64 b b) (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -3/4 binary64)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -3/4 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))))) #s(literal 1 binary64)) b)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -3/4 binary64)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -3/4 binary64) (fma.f64 a (/.f64 a (.f64 b b)) (/.f64 (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))))) #s(literal 1 binary64)) (neg.f64 b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (.f64 a a) (.f64 a (fma.f64 a (/.f64 (.f64 a a) (neg.f64 (pow.f64 b #s(literal 8 binary64)))) (/.f64 a (pow.f64 b #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (/.f64 (.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (.f64 b b) (.f64 b (fma.f64 b (/.f64 (.f64 b (neg.f64 b)) (pow.f64 a #s(literal 8 binary64))) (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 a) (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 a (.f64 a (fma.f64 a a (.f64 #s(literal 2 binary64) (.f64 b b)))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.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)))))
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b
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a
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(.f64 a (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
(* -1 (* a (+ 1 (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2))))))))
(.f64 a (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))) #s(literal -1/8 binary64) #s(literal 1 binary64))))))
a
(+ a (* 1/2 (/ (pow b 2) a)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b b) a) a)
(+ a (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) a)) a)
(+ a (* (pow b 2) (+ (* (pow b 2) (- (* 1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 (/.f64 (.f64 b b) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 a (*.f64 a a)))) (/.f64 #s(literal 1/2 binary64) a)) a)
b
(* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (.f64 a a)) (*.f64 b b)) b)
(* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2))))))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1/8 binary64)) (.f64 b (.f64 b (*.f64 b b))))) b)
(* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (pow a 2) (pow b 2)))))))
(fma.f64 b (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* 1/2 (/ (pow a 2) (pow b 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 a a)) (*.f64 b b)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 2)))))))
(neg.f64 (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a (.f64 a a))) #s(literal -1/8 binary64)) (.f64 b (.f64 b (*.f64 b b))))) b))
(* -1 (* b (+ 1 (+ (* -1/8 (/ (pow a 4) (pow b 4))) (+ (* 1/16 (/ (pow a 6) (pow b 6))) (* 1/2 (/ (pow a 2) (pow b 2))))))))
(neg.f64 (fma.f64 b (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 b #s(literal 6 binary64))))) b))
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))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* b (+ 4 (* 2 (pow a 2))))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) b)) (* 4 b))
(.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64)))
(* 2 (* (pow a 2) b))
(.f64 b (.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
(* 2 (* (pow a 2) b))
(.f64 b (.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b (pow a 2)))))
(.f64 (.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a a)))) a) a)
-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)))) 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)))) 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))))
(.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 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.f64 #s(literal -1 binary64) (.f64 b b)))))
(* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.f64 #s(literal -1 binary64) (.f64 b b)))))
(* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.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 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.f64 #s(literal -1 binary64) (.f64 b b)))))
(* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.f64 #s(literal -1 binary64) (.f64 b b)))))
(* (pow b 2) (- (+ 4 (* 2 (pow a 2))) (/ 1 (pow b 2))))
(.f64 (.f64 b b) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (.f64 a a) (/.f64 #s(literal -1 binary64) (.f64 b b)))))
(- (* 4 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 b (.f64 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 b (.f64 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 b (.f64 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 a (.f64 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 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))
(fma.f64 b (.f64 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 a (.f64 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 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 2))))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(/ 4 (pow a 2))
(/.f64 #s(literal 4 binary64) (*.f64 a a))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(fma.f64 b (/.f64 b (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a a)))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(fma.f64 b (/.f64 b (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a a)))
(+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))
(fma.f64 b (/.f64 b (.f64 a a)) (/.f64 #s(literal 4 binary64) (.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(* (pow b 2) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))
(.f64 b (fma.f64 b (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 b b)))) (/.f64 b (*.f64 a a))))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (+ 4 (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))

rewrite317.0ms (2.6%)

Memory

12.8MiB live, 487.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 806×	`lower-*.f32`
4 788×	`lower-*.f64`
3 448×	`lower-fma.f32`
3 440×	`lower-fma.f64`
2 790×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	418
0	77	377
1	345	336
2	2777	336
0	8350	286

Stop Event

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

Counts

22 → 468

Calls

Call 1

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

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

eval189.0ms (1.5%)

Memory: 0.7MiB live, 303.9MiB allocated
Compiler: Compiled 42 614 to 2 730 computations (93.6% saved)

prune222.0ms (1.8%)

Memory

23.5MiB live, 219.4MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 168	1	1 169
Fresh	0	3	3
Picked	1	4	5
Done	0	5	5
Total	1 169	13	1 182

Accuracy

100.0%

Counts

1 182 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.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))))))
	80.2%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	99.9%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	45.5%	#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (.f64 b (.f64 b (*.f64 b b))))
✓	70.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))))
✓	70.4%	#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)))
✓	66.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
✓	41.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	45.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	41.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	51.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #s(literal -1 binary64))))
✓	26.1%	#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 617 to 174 computations (71.8% saved)

regimes50.0ms (0.4%)

Memory

-16.7MiB live, 80.8MiB allocated

Counts

24 → 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.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))))
#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 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 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))))))
(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(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) #s(approx (/ (+ ( b b) 4) (* a a)) (/.f64 (.f64 b b) (.f64 a a)))) #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) (fma.f64 (.f64 b (.f64 b (.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (.f64 a a))) #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #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 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 #s(literal 4 binary64) (.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)))
(-.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 (fma.f64 (fma.f64 (.f64 b b) (.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 64 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 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))) (.f64 (+.f64 a b) (-.f64 a b))))) (.f64 (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 a b) (-.f64 a b))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.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 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Outputs

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

Calls

6 calls:

14.0ms	(*.f64 b b)
7.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
7.0ms	a
7.0ms	b
6.0ms	(*.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)

regimes37.0ms (0.3%)

Memory

-7.1MiB live, 67.1MiB allocated

Counts

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

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

Calls

6 calls:

8.0ms	b
7.0ms	(*.f64 b b)
6.0ms	a
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
5.0ms	(*.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)

regimes51.0ms (0.4%)

Memory

-13.3MiB live, 70.0MiB allocated

Counts

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

Calls

6 calls:

22.0ms	a
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
5.0ms	b
5.0ms	(*.f64 b b)
5.0ms	(*.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)

regimes62.0ms (0.5%)

Memory

22.0MiB live, 61.7MiB allocated

Counts

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

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:

40.0ms	(-.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))
4.0ms	a
4.0ms	b
4.0ms	(*.f64 b b)
4.0ms	(+.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
94.8%	2	`a`
98.2%	2	`b`
81.3%	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))`
81.3%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
94.8%	2	`(*.f64 a a)`
98.2%	2	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

-16.4MiB live, 22.7MiB 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.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))))
#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 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b (.f64 b b)) b (fma.f64 b (.f64 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 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 (*.f64 b b)) b (fma.f64 b (*.f64 b #s(approx (+ (* 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64))))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

20.7MiB live, 20.6MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory

-22.9MiB live, 17.2MiB 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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.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))))
#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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.1%)

Memory

7.1MiB live, 46.0MiB allocated

Counts

6 → 5

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.3%	3	`(-.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))`
72.3%	3	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
73.7%	4	`a`
69.6%	2	`(*.f64 a a)`
78.3%	5	`b`
73.8%	3	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 5

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))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.3%	5	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory

-11.0MiB live, 26.2MiB 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:

3.0ms	(-.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 b b)

Results

Accuracy	Segments	Branch
65.9%	2	`(*.f64 a a)`
65.9%	2	`a`
66.2%	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))`
66.2%	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%	3	`(*.f64 b b)`
50.9%	5	`b`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB 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	b
1.0ms	a
1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 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))
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
26.1%	1	`(*.f64 b b)`
26.1%	1	`b`
26.1%	1	`a`
26.1%	1	`(*.f64 a a)`
26.1%	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))`
26.1%	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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4982472479772303e-5	125.48229154079672

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	125.48229154079672	940401692.8854064

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	125.48229154079672	940401692.8854064

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	44878134132622440.0	45317489918823620.0

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch53.0ms (0.4%)

Memory

2.0MiB live, 120.3MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.312044439836422e-5	0.0038707198916703212
5.0ms	3.069384070677096e-97	4.1732391331164503e-97
17.0ms	5.265673519683283e-251	2.165714550915596e-244
14.0ms	1.0225779792737612e-296	5.9773933679189445e-294

Samples

32.0ms

432×

valid

Compiler

Compiled 481 to 274 computations (43% saved)

Precisions

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

ival-mult: 9.0ms (40.4% of total)

ival-pow2: 7.0ms (31.4% of total)

ival-add: 4.0ms (17.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.312044439836422e-5	0.0038707198916703212
0.0ms	3.069384070677096e-97	4.1732391331164503e-97
1.0ms	5.265673519683283e-251	2.165714550915596e-244
1.0ms	1.0225779792737612e-296	5.9773933679189445e-294

Compiler

Compiled 481 to 286 computations (40.5% saved)

bsearch1.0ms (0%)

Memory

-38.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3525289218136015e-6	884355347743344900.0

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify11.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	772
1	110	772
2	114	772
3	121	772

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.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 5902958103587057/295147905179352825856 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 b b) #s(literal 200 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 (.f64 b b)) b (fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 200 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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 45000000000000000 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) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 3976209583413865/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 576577292452201/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 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 b #s(literal 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 b #s(literal 8762203435012037/2305843009213693952 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 b (.f64 b (*.f64 b b))))))))
(if (<=.f64 b #s(literal 3976209583413865/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 576577292452201/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 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 b #s(literal 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 8762203435012037/2305843009213693952 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 b (.f64 b (*.f64 b b))))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 4722366482869645/1180591620717411303424 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 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (sqrt.f64 (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (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)))
(if (<=.f64 (.f64 b b) #s(literal 5902958103587057/295147905179352825856 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 b b) #s(literal 200 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 (.f64 b b)) b (fma.f64 b (.f64 b #s(approx (+ ( 2 (* a a)) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 200 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 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 b b) #s(literal 45000000000000000 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) (.f64 b (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal 3976209583413865/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 576577292452201/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 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 b #s(literal 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 b #s(literal 8762203435012037/2305843009213693952 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 b (.f64 b (*.f64 b b))))))))
(if (<=.f64 b #s(literal 3976209583413865/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 576577292452201/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 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 b #s(literal 6156563468186637/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 b #s(literal 8762203435012037/2305843009213693952 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 b (.f64 b (*.f64 b b))))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 4722366482869645/1180591620717411303424 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 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64))) #s(literal 4722366482869645/1180591620717411303424 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)))

soundness1.6s (12.9%)

Memory

-12.2MiB live, 1 037.3MiB allocated

Rules

27 418×	`lower-fma.f64`
27 418×	`lower-fma.f32`
24 056×	`lower-fma.f64`
24 056×	`lower-fma.f32`
9 970×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	374
0	65	346
1	322	330
2	2666	330
0	8593	307
0	166	4944
1	472	4764
2	1302	4606
3	5382	4238
0	8226	3887
0	33	232
0	54	223
1	253	187
2	2193	187
0	10225	177
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
0	48	418
0	77	377
1	345	336
2	2777	336
0	8350	286

Stop Event

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

Compiler

Compiled 782 to 271 computations (65.3% saved)

preprocess70.0ms (0.6%)

Memory

8.3MiB live, 201.6MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 1 062 to 326 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample929.0ms (7.5%)

preprocess480.0ms (3.9%)

explain239.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify426.0ms (3.4%)

localize62.0ms (0.5%)

series7.0ms (0.1%)

simplify534.0ms (4.3%)

rewrite468.0ms (3.8%)

eval165.0ms (1.3%)

prune149.0ms (1.2%)

simplify654.0ms (5.3%)

localize137.0ms (1.1%)

series13.0ms (0.1%)

simplify789.0ms (6.4%)

rewrite658.0ms (5.3%)

eval584.0ms (4.7%)

prune170.0ms (1.4%)

simplify503.0ms (4.1%)

localize329.0ms (2.7%)

series22.0ms (0.2%)

simplify543.0ms (4.4%)

rewrite367.0ms (3%)

eval211.0ms (1.7%)

prune106.0ms (0.9%)

simplify388.0ms (3.1%)

localize164.0ms (1.3%)

series21.0ms (0.2%)

simplify544.0ms (4.4%)

rewrite317.0ms (2.6%)

eval189.0ms (1.5%)

prune222.0ms (1.8%)

regimes50.0ms (0.4%)

regimes37.0ms (0.3%)

regimes51.0ms (0.4%)

regimes62.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes16.0ms (0.1%)

regimes2.0ms (0%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch53.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.6s (12.9%)

preprocess70.0ms (0.6%)

end0.0ms (0%)

Profiling