Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.2s (12.6%)

Memory

-88.1MiB live, 1 471.7MiB allocated

Samples

870.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-mult: 203.0ms (47.8% of total)

ival-pow2: 91.0ms (21.4% of total)

ival-add: 69.0ms (16.2% of total)

ival-sub: 46.0ms (10.8% of total)

exact: 7.0ms (1.6% of total)

ival-true: 5.0ms (1.2% of total)

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

Bogosity

explain170.0ms (1.8%)

Memory

29.0MiB live, 350.9MiB 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

45.0ms

512×

valid

Compiler

Compiled 151 to 40 computations (73.5% saved)

Precisions

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

ival-mult: 9.0ms (41.1% of total)

ival-pow2: 5.0ms (22.8% of total)

ival-add: 4.0ms (18.3% of total)

ival-sub: 2.0ms (9.1% of total)

exact: 1.0ms (4.6% of total)

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

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

preprocess271.0ms (2.8%)

Memory

-9.8MiB live, 256.1MiB 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 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify189.0ms (2%)

Memory

22.3MiB live, 182.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (0.7%)

Memory

-8.7MiB live, 75.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.14453125	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 23.0ms (50.2% of total)

ival-pow2: 17.0ms (37.1% of total)

ival-mult: 5.0ms (10.9% of total)

ival-sub: 1.0ms (2.2% 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

-16.9MiB live, 19.3MiB allocated

Counts

7 → 132

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	((pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (* 4 (* b b)) (* a a) (* b b))
2.0ms	b	@	inf	((pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (* 4 (* b b)) (* a a) (* b b))
1.0ms	a	@	inf	((pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (* 4 (* b b)) (* a a) (* b b))
1.0ms	b	@	0	((pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (* 4 (* b b)) (* a a) (* b b))
1.0ms	a	@	0	((pow (+ (* a a) (* b b)) 2) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (* 4 (* b b)) (* a a) (* b b))

simplify200.0ms (2.1%)

Memory

12.2MiB live, 206.2MiB 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	1452
1	240	1448
2	677	1416
3	3132	1332
4	7144	1332
0	8169	1196

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite245.0ms (2.6%)

Memory

-7.0MiB live, 308.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
0	19	59
1	77	59
2	604	59
0	8066	49

Stop Event

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

Counts

7 → 536

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)
(*.f64 b b)

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

eval92.0ms (1%)

Memory: 38.6MiB live, 190.9MiB allocated
Compiler: Compiled 38 033 to 1 816 computations (95.2% saved)

prune165.0ms (1.7%)

Memory

-21.5MiB live, 192.5MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	675	11	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	676	11	687

Accuracy

100.0%

Counts

687 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.3%	(fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (+.f64 b a) (-.f64 b a)) (.f64 b b)))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
	47.9%	(fma.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (+.f64 b a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
	20.3%	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (-.f64 a b) (+.f64 b a)))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
	20.3%	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (+.f64 b a)))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
▶	99.9%	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	48.3%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	72.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
▶	72.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
▶	62.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
	43.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
▶	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))

Compiler

Compiled 666 to 264 computations (60.4% saved)

simplify142.0ms (1.5%)

Memory

7.8MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))))) (.f64 #s(literal 4 binary64) (.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a)))))
cost-diff	1728	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))))
cost-diff	0	(fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a))
cost-diff	0	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 (.f64 a a) a)
cost-diff	0	(.f64 (.f64 (*.f64 a a) a) a)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
cost-diff	0	(fma.f64 b b (*.f64 a a))
cost-diff	128	(+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))

Rules

9 270×	`lower-fma.f32`
9 264×	`lower-fma.f64`
4 696×	`lower-*.f32`
4 676×	`lower-*.f64`
2 180×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	441
0	64	382
1	131	325
2	370	303
3	1679	303
4	6581	303
0	8306	296

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.2%)

Memory

-24.4MiB live, 177.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.053066259768442016	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a)))))
accuracy	0.14453125	(.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)))
accuracy	34.609629689381926	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(*.f64 a a)
accuracy	2.6948606405426663	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.6316469598179535	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	30.272045742175816	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	0	(*.f64 a a)
accuracy	0.08203125	(fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))
accuracy	17.30931863102141	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.08203125	(.f64 (.f64 a a) a)
accuracy	0.0859375	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	32.755198527109286	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
accuracy	0	(*.f64 a a)
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.0703125	(/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))
accuracy	0.33805482768892076	(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))

Samples

89.0ms

256×

valid

Compiler

Compiled 438 to 37 computations (91.6% saved)

Precisions

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

ival-mult: 40.0ms (62.6% of total)

ival-add: 8.0ms (12.5% of total)

ival-sub: 7.0ms (10.9% of total)

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

ival-pow2: 2.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Memory

6.5MiB live, 82.1MiB allocated

Counts

22 → 468

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a)))) (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (- (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) 1) (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))
3.0ms	a	@	-inf	((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a)))) (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (- (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) 1) (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))
3.0ms	a	@	0	((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a)))) (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (- (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) 1) (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))
3.0ms	b	@	-inf	((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a)))) (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (- (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) 1) (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))
2.0ms	b	@	inf	((/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) a) a) (* (* a a) a) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a)))) (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (- (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) 1) (+ (/ 1 (/ (* (- a b) (+ b a)) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))) (* 4 (* b b))) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (- a b) (+ b a))))

simplify182.0ms (1.9%)

Memory

-23.3MiB live, 274.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 378×	`lower-fma.f64`
8 378×	`lower-fma.f32`
3 744×	`lower-*.f64`
3 744×	`lower-*.f32`
3 084×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	7291
1	1206	7131
2	3812	6894
0	8393	6484

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(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 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 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 a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (pow 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 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 a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(pow a 3)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(pow a 2)
(+ (* 2 (pow b 2)) (pow a 2))
(+ (* 2 (pow b 2)) (pow a 2))
(+ (* 2 (pow b 2)) (pow a 2))
(/ 1 (pow a 4))
(+ (* -2 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 8))) (* 2 (/ 1 (pow a 6))))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 10))) (* 3 (/ 1 (pow a 8))))) (* 2 (/ 1 (pow a 6))))) (/ 1 (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 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 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))
(/ 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)))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(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 a 6)
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))
(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))) (* 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))))))
(* (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 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 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) (+ 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))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(/ 1 (pow b 4))
(/ (+ 1 (* -2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 4)) (pow a 4)) (pow b 4)))) (* 2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 4)) (pow a 4)))) (* -2 (pow a 6))) (pow b 6)))) (+ (* -4 (/ (pow a 4) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (pow b 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 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))))))
(* (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 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))
(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)))))
(* -1 (pow b 6))
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 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)))))
(* (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))) (* 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))))))
(* (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 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 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) (+ 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))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(/ 1 (pow b 4))
(/ (+ 1 (* -2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 4)) (pow a 4)) (pow b 4)))) (* 2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 4)) (pow a 4)))) (* -2 (pow a 6))) (pow b 6)))) (+ (* -4 (/ (pow a 4) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (pow b 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 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))))))
(* (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 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))
(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)))))
(* -1 (pow b 6))
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1))
(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))
(- (+ (* 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)
(+ (* 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 b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 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)
(- (+ (* 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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(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)
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(+ (* 2 (pow b 2)) (pow a 2))
(+ (* 2 (pow b 2)) (pow a 2))
(/ 1 (pow b 4))
(+ (* -2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (- (* 3 (/ (pow a 2) (pow b 8))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -4 (/ (pow a 2) (pow b 10))) (* 3 (/ 1 (pow b 8))))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4)))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(- (+ (* 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)
(+ (* 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)))
(/ 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)))
(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))
(* -1 (pow b 6))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))
(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))) (+ (* 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))))))
(* (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 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 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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 (/ 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 (* 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)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 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)
(* (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))))))
(* (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 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))
(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 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))
(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))) (+ (* 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))))))
(* (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 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 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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 (/ 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 (* 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)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 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)
(* (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))))))
(* (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 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))
(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 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))

Outputs
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
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(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(pow.f64 a #s(literal 6 binary64))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 b b) (/.f64 b (.f64 (.f64 a a) a))) #s(literal -2 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 b (/.f64 b (.f64 a a)) (.f64 (.f64 (.f64 b b) (/.f64 b (.f64 (*.f64 a a) a))) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 a #s(literal 6 binary64)))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) 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))))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 a a) 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))))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 a a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(pow a 3)
(.f64 (.f64 a a) a)
(pow a 3)
(.f64 (.f64 a a) a)
(pow a 3)
(.f64 (.f64 a a) a)
(pow a 3)
(.f64 (.f64 a 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 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (*.f64 a a) a) a))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (*.f64 a a) a) a))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (*.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(pow a 3)
(.f64 (.f64 a a) a)
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (*.f64 a a) a))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (*.f64 a a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 a a))
(/ 1 (pow a 4))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 a a) a) a))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal -2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 a a) a) a))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a)) #s(literal 1 binary64))) (.f64 (.f64 (*.f64 a a) a) a))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (pow a 4))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 (.f64 b b) #s(literal -3 binary64)) (.f64 (.f64 (.f64 b b) b) b) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) #s(literal -2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(.f64 (-.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (.f64 (.f64 a a) a) a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) 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))))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 a a) 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))))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 2 binary64) (.f64 a a))) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 a a) 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 (fma.f64 b (neg.f64 (/.f64 b (.f64 a a))) (+.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a)) #s(literal 1 binary64))) (.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) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 (.f64 (neg.f64 b) b) (.f64 b b)) (.f64 (.f64 (.f64 a a) a) a)))) (.f64 a a))
(pow a 4)
(.f64 (.f64 (*.f64 a a) a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (+.f64 (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 a a) a) a))
(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(pow.f64 a #s(literal 6 binary64))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))
(.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 6 binary64)))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))
(.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (.f64 b (.f64 b (/.f64 b a))) #s(literal 0 binary64) (.f64 b b)) a) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 6 binary64)))

rewrite487.0ms (5.1%)

Memory

30.7MiB live, 535.4MiB allocated

Rules

5 070×	`lower-*.f32`
5 050×	`lower-*.f64`
5 046×	`lower-fma.f32`
5 040×	`lower-fma.f64`
3 280×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	382
0	64	315
1	291	242
2	2933	240
0	8929	219

Stop Event

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

Counts

22 → 1 990

Calls

Call 1

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

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

eval1.0s (10.6%)

Memory: 28.3MiB live, 866.4MiB allocated
Compiler: Compiled 171 008 to 7 234 computations (95.8% saved)

prune485.0ms (5.1%)

Memory

22.1MiB live, 700.8MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	2 954	10	2 964
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	2 962	13	2 975

Accuracy

100.0%

Counts

2 975 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	97.8%	(fma.f64 (.f64 (-.f64 a b) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	78.1%	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	78.5%	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	99.9%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	72.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (.f64 a a) a) a #s(literal -1 binary64)))
▶	31.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
	31.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 a a) a) a #s(literal 1 binary64)))))
✓	62.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
▶	43.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
▶	25.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

Compiler

Compiled 487 to 221 computations (54.6% saved)

simplify262.0ms (2.7%)

Memory

-8.3MiB live, 185.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 a a) a) a)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
cost-diff	3008	(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64)))
cost-diff	0	(fma.f64 b b (*.f64 a a))
cost-diff	128	(+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) b)
cost-diff	0	(.f64 (.f64 (*.f64 b b) b) b)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
cost-diff	0	#s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 a b))
cost-diff	0	(-.f64 a b)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))))
cost-diff	1408	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))

Rules

13 388×	`lower-fma.f32`
13 378×	`lower-fma.f64`
4 690×	`lower-*.f32`
4 672×	`lower-*.f64`
2 930×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	398
0	70	380
1	134	327
2	309	302
3	1140	281
4	5772	281
0	8472	279

Stop Event

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

Calls

Call 1

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

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

localize188.0ms (2%)

Memory

-29.5MiB live, 207.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 a a) a)
accuracy	0.0859375	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	17.30931863102141	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
accuracy	23.855795413643644	(/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64)))
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.0703125	(/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
accuracy	0.33805482768892076	(/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))
accuracy	26.70371045744799	#s(approx (+ (* b b) (* a a)) (*.f64 a a))
accuracy	0	(*.f64 b b)
accuracy	0.05078125	(.f64 (.f64 (*.f64 b b) b) b)
accuracy	0.078125	(.f64 (.f64 b b) b)
accuracy	36.466866638520095	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
accuracy	17.30931863102141	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))
accuracy	33.0006419603861	#s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (-.f64 a b))
accuracy	0.046875	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy	0.14453125	(.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)))
accuracy	4.678225845506722	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))))

Samples

131.0ms

256×

valid

Compiler

Compiled 355 to 37 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-sub: 42.0ms (43.2% of total)

ival-mult: 38.0ms (39.1% of total)

ival-add: 9.0ms (9.3% of total)

ival-div: 6.0ms (6.2% of total)

ival-pow2: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.4%)

Memory

14.7MiB live, 93.5MiB allocated

Counts

23 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	b	@	-inf	((+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* b b) b) b) (* (* b b) b) (* b b) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (/ (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (+ (* (* (* a a) a) a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (* (* (* a a) a) a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (* a a) a))
5.0ms	a	@	inf	((+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* b b) b) b) (* (* b b) b) (* b b) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (/ (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (+ (* (* (* a a) a) a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (* (* (* a a) a) a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (* a a) a))
3.0ms	a	@	-inf	((+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* b b) b) b) (* (* b b) b) (* b b) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (/ (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (+ (* (* (* a a) a) a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (* (* (* a a) a) a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (* a a) a))
2.0ms	b	@	inf	((+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* b b) b) b) (* (* b b) b) (* b b) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (/ (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (+ (* (* (* a a) a) a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (* (* (* a a) a) a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (* a a) a))
2.0ms	a	@	0	((+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* a a) (* a a)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* b b) b) b) (* (* b b) b) (* b b) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (/ (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (+ (* (* (* a a) a) a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (* (* a a) a) a) (* (* (* a a) a) a)) -1) (* (* (* a a) a) a) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (* (* a a) a))

simplify182.0ms (1.9%)

Memory

0.2MiB live, 341.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 238×	`lower-fma.f64`
11 238×	`lower-fma.f32`
4 592×	`lower-+.f64`
4 592×	`lower-+.f32`
4 572×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	5961
1	1091	5845
2	3245	5686
0	8204	5386

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 441

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

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

rewrite224.0ms (2.3%)

Memory

-4.9MiB live, 405.0MiB allocated

Rules

5 874×	`lower-fma.f32`
5 864×	`lower-fma.f64`
4 882×	`lower-/.f32`
4 874×	`lower-/.f64`
3 912×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	349
0	70	292
1	312	237
2	2652	235
0	8413	218

Stop Event

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

Counts

23 → 961

Calls

Call 1

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

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

eval253.0ms (2.7%)

Memory: 13.2MiB live, 601.2MiB allocated
Compiler: Compiled 69 693 to 4 135 computations (94.1% saved)

prune272.0ms (2.9%)

Memory

-12.5MiB live, 597.8MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 784	5	1 789
Fresh	1	5	6
Picked	3	2	5
Done	0	2	2
Total	1 788	14	1 802

Accuracy

100.0%

Counts

1 802 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (-.f64 a b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
	67.0%	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 b b) b) b))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
▶	86.8%	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	78.1%	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	86.7%	(-.f64 (+.f64 (/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	99.9%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	72.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (.f64 a a) a) a #s(literal -1 binary64)))
▶	31.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
	31.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 a a) a) a #s(literal 1 binary64)))))
✓	62.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
✓	43.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
▶	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	25.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

Compiler

Compiled 510 to 239 computations (53.1% saved)

simplify106.0ms (1.1%)

Memory

4.8MiB live, 155.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 a b))
cost-diff	0	(-.f64 a b)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)))
cost-diff	1280	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* b b) (* a a)) (*.f64 a a))
cost-diff	128	(+.f64 (/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
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	128	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))

Rules

8 272×	`lower-fma.f32`
8 262×	`lower-fma.f64`
3 102×	`lower-*.f32`
3 082×	`lower-*.f64`
3 074×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	522
0	76	505
1	139	397
2	267	364
3	630	356
4	2152	356
0	8368	353

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.1%)

Memory

17.7MiB live, 178.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 a a) a)
accuracy	0.11556625976844202	(.f64 (.f64 (.f64 a a) a) (.f64 (*.f64 a a) a))
accuracy	17.30931863102141	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
accuracy	23.855795413643644	(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64)))
accuracy	0.08203125	(.f64 (.f64 a a) a)
accuracy	0.0859375	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	4.678225845506722	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)))
accuracy	20.931156315985294	#s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a))
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.0703125	(/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
accuracy	0.33805482768892076	(/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))
accuracy	26.70371045744799	#s(approx (+ (* b b) (* a a)) (*.f64 a a))
accuracy	0	(*.f64 a a)
accuracy	0.14453125	(.f64 (.f64 a a) (*.f64 a a))
accuracy	32.755198527109286	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	0	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.053066259768442016	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
accuracy	0.1171875	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
accuracy	0.33805482768892076	(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))

Samples

79.0ms

256×

valid

Compiler

Compiled 465 to 40 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 19.0ms (38.7% of total)

ival-div: 12.0ms (24.4% of total)

ival-add: 11.0ms (22.4% of total)

ival-sub: 4.0ms (8.1% of total)

ival-pow2: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.5%)

Memory

-41.5MiB live, 57.2MiB allocated

Counts

26 → 516

Calls

Call 1

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

Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 4)) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 8))) (* 2 (/ 1 (pow a 6))))) (/ 1 (pow a 4))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 10))) (* 3 (/ 1 (pow a 8))))) (* 2 (/ 1 (pow a 6))))) (/ 1 (pow a 4))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) #<representation binary64>) () ())) ())
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#s(alt (pow a 4) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 a a) a) a) (patch (.f64 (.f64 (.f64 a a) a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 (.f64 a a) a) (patch (.f64 (.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 (.f64 a a) a) (patch (.f64 (.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 (.f64 a a) a) (patch (.f64 (.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 (.f64 a a) a) (patch (.f64 (.f64 a a) a) #<representation binary64>) () ())) ())
#s(alt (pow a 6) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (patch (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 6) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (patch (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 6) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (patch (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())
#s(alt (pow a 6) (taylor -inf a) (#s(alt (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (patch (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	((/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) 1) (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (* a a) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/ (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (+ (* (* (* a a) a) a) 1)) (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (* (* (* (* a a) a) (* (* a a) a)) a) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (/ 1 (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* a a) a) a) (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))
3.0ms	a	@	-inf	((/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) 1) (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (* a a) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/ (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (+ (* (* (* a a) a) a) 1)) (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (* (* (* (* a a) a) (* (* a a) a)) a) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (/ 1 (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* a a) a) a) (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))
2.0ms	a	@	0	((/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) 1) (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (* a a) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/ (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (+ (* (* (* a a) a) a) 1)) (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (* (* (* (* a a) a) (* (* a a) a)) a) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (/ 1 (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* a a) a) a) (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))
1.0ms	b	@	inf	((/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) 1) (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (* a a) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/ (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (+ (* (* (* a a) a) a) 1)) (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (* (* (* (* a a) a) (* (* a a) a)) a) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (/ 1 (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* a a) a) a) (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))
1.0ms	b	@	-inf	((/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) 1) (+ (/ 1 (* (/ 1 (+ (* b b) (* a a))) (/ 1 (+ (* b b) (* a a))))) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (* a a) (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (- (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) 1) (+ (/ (+ (* b b) (* a a)) (/ 1 (+ (* b b) (* a a)))) (* 4 (* b b))) (+ (* b b) (* a a)) (+ (* (- a b) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))) (+ (* (* b b) 4) -1)) (* (/ 1 (- a b)) (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))) (- a b) (/ 1 (- a b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/ (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (+ (* (* (* a a) a) a) 1)) (+ (* (* (* (* (* a a) a) (* (* a a) a)) a) a) -1) (* (* (* (* a a) a) (* (* a a) a)) a) (/ 1 (+ (* b b) (* a a))) (* 4 (* b b)) (/ 1 (+ (* b b) (* a a))) (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (* (* (* a a) a) a) (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))

simplify175.0ms (1.8%)

Memory

23.1MiB live, 253.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 788×	`lower-fma.f64`
7 788×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
3 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	7499
1	1337	7355
2	4015	7289
0	8310	6887

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

Calls

Call 1

Inputs
(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))
(/ 1 (pow a 4))
(+ (* -2 (/ (pow b 2) (pow a 6))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* 3 (/ (pow b 2) (pow a 8))) (* 2 (/ 1 (pow a 6))))) (/ 1 (pow a 4)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -4 (/ (pow b 2) (pow a 10))) (* 3 (/ 1 (pow a 8))))) (* 2 (/ 1 (pow a 6))))) (/ 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 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 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 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 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 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 a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow a 3)
(+ (* (pow a 2) b) (pow a 3))
(+ (* b (- (* b (- (* 2 a) (* -1 a))) (* -1 (pow a 2)))) (pow a 3))
(+ (* b (- (* b (- (+ (* 2 a) (/ (* b (- (* 2 a) (* -1 a))) a)) (* -1 a))) (* -1 (pow a 2)))) (pow a 3))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(/ 1 a)
(+ (/ 1 a) (/ b (pow a 2)))
(+ (* b (+ (/ 1 (pow a 2)) (/ b (pow a 3)))) (/ 1 a))
(+ (* b (+ (* b (+ (/ 1 (pow a 3)) (/ b (pow a 4)))) (/ 1 (pow a 2)))) (/ 1 a))
(- (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)
(/ 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)))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 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)))
(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)))))
(/ 1 (pow b 4))
(/ (+ 1 (* -2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 4)) (pow a 4)) (pow b 4)))) (* 2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 4)) (pow a 4)))) (* -2 (pow a 6))) (pow b 6)))) (+ (* -4 (/ (pow a 4) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 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))))) (/ 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))))))
(* (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))))) (/ 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)))))
(* (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))) (* 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))))))
(* (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 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 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 3))
(* (pow b 3) (- (* -1 (/ a b)) 1))
(* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))
(* (pow b 3) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (/ (* a (- (* -2 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(/ -1 b)
(/ (- (* -1 (/ a b)) 1) b)
(/ (- (* -1 (/ (pow a 2) (pow b 2))) (+ 1 (/ a b))) b)
(/ (- (* -1 (/ (pow a 3) (pow b 3))) (+ 1 (+ (/ a b) (/ (pow a 2) (pow b 2))))) b)
(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))
(/ (+ 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))
(/ 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)
(* (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)))))
(/ 1 (pow b 4))
(/ (+ 1 (* -2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow a 4)) (pow a 4)) (pow b 4)))) (* 2 (/ (pow a 2) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow a 2) (+ (* -4 (pow a 4)) (pow a 4)))) (* -2 (pow a 6))) (pow b 6)))) (+ (* -4 (/ (pow a 4) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 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))))) (/ 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))))))
(* (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))))) (/ 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)))))
(* (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))) (* 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))))))
(* (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 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 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 3))
(* -1 (* (pow b 3) (+ 1 (/ a b))))
(* -1 (* (pow b 3) (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (pow a 2)) (* -1 (pow a 2))) b)) a) b)))))
(* -1 (* (pow b 3) (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (pow a 2)) (/ (* a (- (* 2 (pow a 2)) (* -1 (pow a 2)))) b)) (* -1 (pow a 2))) b)) a) b)))))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(/ -1 b)
(* -1 (/ (+ 1 (/ a b)) b))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow a 2) b)) a) b))) b))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (* -1 (pow a 2))) b)) a) b))) b))
(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))
(/ (+ 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))
(/ 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)
(* (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)
(+ (* 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))
(/ 1 (pow b 4))
(+ (* -2 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (- (* 3 (/ (pow a 2) (pow b 8))) (* 2 (/ 1 (pow b 6))))) (/ 1 (pow b 4)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -4 (/ (pow a 2) (pow b 10))) (* 3 (/ 1 (pow b 8))))) (* 2 (/ 1 (pow b 6))))) (/ 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)
(+ (* 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)))
(- (+ (* 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)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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))
(- (+ (* 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)
(+ (* 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 b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 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)
(- (+ (* 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)
(* -1 (pow b 3))
(+ (* -1 (* a (pow b 2))) (* -1 (pow b 3)))
(+ (* -1 (pow b 3)) (* a (- (* a (- (* -2 b) b)) (pow b 2))))
(+ (* -1 (pow b 3)) (* a (- (* a (- (+ (* -2 b) (/ (* a (- (* -2 b) b)) b)) b)) (pow b 2))))
(* -1 b)
(- a b)
(- a b)
(- a b)
(/ -1 b)
(- (* -1 (/ a (pow b 2))) (/ 1 b))
(- (* a (- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))) (/ 1 b))
(- (* a (- (* a (- (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 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)
-1
(- (pow a 4) 1)
(- (pow a 4) 1)
(- (pow a 4) 1)
-1
-1
(- (pow a 8) 1)
(- (pow a 8) 1)
(pow a 7)
(pow a 7)
(pow a 7)
(pow a 7)
(/ 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 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)))
(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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(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)))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 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))))) (/ 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))))))
(* (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))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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))) (+ (* 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))))))
(* (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 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 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 3)
(* (pow a 3) (+ 1 (/ b a)))
(* (pow a 3) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))
(* (pow a 3) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* b (- (* 2 (pow b 2)) (* -1 (pow b 2)))) (pow a 3)))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (* -1 (/ (pow b 2) (pow a 2))))) a)
(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 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 8)
(pow a 8)
(* (pow a 8) (- 1 (/ 1 (pow a 8))))
(* (pow a 8) (- 1 (/ 1 (pow a 8))))
(pow a 7)
(pow a 7)
(pow a 7)
(pow a 7)
(/ 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))
(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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)
(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)))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow b 4)) (pow b 4)) (pow a 4)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (* -1 (/ (+ (* -2 (* (pow b 2) (+ (* -4 (pow b 4)) (pow b 4)))) (* -2 (pow b 6))) (pow a 6)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 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))))) (/ 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))))))
(* (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))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(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))) (+ (* 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))))))
(* (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 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 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 3)
(* -1 (* (pow a 3) (- (* -1 (/ b a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (+ b (* 2 (/ (pow b 2) a))) (* -1 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ b (* -1 (/ (+ (* -1 (- (* 2 (pow b 2)) (* -1 (pow b 2)))) (* -1 (/ (* b (- (* 2 (pow b 2)) (* -1 (pow b 2)))) a))) a))) a)) 1)))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(/ 1 a)
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) (* -1 b)) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (pow b 2)) a)) (* -1 b)) a)) 1) a))
(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 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 8)
(pow a 8)
(* (pow a 8) (- 1 (/ 1 (pow a 8))))
(* (pow a 8) (- 1 (/ 1 (pow a 8))))
(pow a 7)
(pow a 7)
(pow a 7)
(pow a 7)
(/ 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))
(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)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 6)
(pow a 6)
(pow a 6)
(pow a 6)

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

rewrite283.0ms (3%)

Memory

17.9MiB live, 361.6MiB allocated

Rules

6 160×	`lower-fma.f32`
6 150×	`lower-fma.f64`
4 568×	`lower-/.f32`
4 556×	`lower-/.f64`
3 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	454
0	76	361
1	336	283
2	2904	252
0	8791	235

Stop Event

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

Counts

26 → 1 147

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 a b)))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (+.f64 a b)) (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 b a)))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (+.f64 a b)) (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b)))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (+.f64 a b)) (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 b a)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (.f64 b b)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (/.f64 (sqrt.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 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.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 (+.f64 a b) (-.f64 a b))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (/.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))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (/.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 b a))) (/.f64 #s(literal 1 binary64) (.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 b a))) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (fma.f64 a a (.f64 b b)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b 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 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (.f64 b b) b) b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (.f64 b b) b) b))) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (.f64 (*.f64 b b) b) b))))
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(.f64 (pow.f64 #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ ( b b) (* a a)) (*.f64 a a)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (*.f64 a a))))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( b b) (* a a)) (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* b b) (* a a)) (*.f64 a a))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( b b) (* a a)) (*.f64 a a))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b))))))
(.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (+.f64 a b))))))
(.f64 (.f64 (-.f64 a b) #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
(.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)) (-.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)))
(.f64 (-.f64 a b) (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)))
#s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)) (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)))) (neg.f64 (fma.f64 a a (.f64 b (+.f64 a b)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (neg.f64 (fma.f64 a a (.f64 b (+.f64 a b)))))
(/.f64 (neg.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (-.f64 a b) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))))
(/.f64 (neg.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)))) (neg.f64 (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (+.f64 a b))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)))) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)))) (neg.f64 (.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b))) (+.f64 a b))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)) (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b))) (fma.f64 a a (.f64 b (+.f64 a b))))
(/.f64 (.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (.f64 b (+.f64 a b))))
(/.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)) (-.f64 a b))
(/.f64 (.f64 (-.f64 a b) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a))) (-.f64 a b))
(/.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (-.f64 a b) (+.f64 a b)))
(/.f64 (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b))) (.f64 (-.f64 a b) (fma.f64 a a (*.f64 b (+.f64 a b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (.f64 (fma.f64 a a (.f64 b (+.f64 a b))) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b)))
(fma.f64 (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) a (.f64 (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)) (neg.f64 b)))
(fma.f64 a (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (.f64 (neg.f64 b) (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b))))
(+.f64 (.f64 a (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b))) (.f64 (neg.f64 b) (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b))))
(+.f64 (.f64 (/.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) a) (.f64 (/.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (*.f64 a a) a) a)) (-.f64 a b)) (neg.f64 b)))
(.f64 (.f64 (.f64 (.f64 a a) a) a) #s(literal 1 binary64))
(.f64 (.f64 (.f64 a a) a) (.f64 a #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 a a) a) a)
(.f64 (.f64 a a) (.f64 (.f64 a a) #s(literal 1 binary64)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 a (.f64 (.f64 (.f64 a a) a) #s(literal 1 binary64)))
(.f64 a (.f64 (*.f64 a a) a))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) a))
(pow.f64 (.f64 (.f64 (*.f64 a a) a) a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 a)))
(*.f64 (pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(.f64 (.f64 a a) a)
(.f64 a (.f64 a a))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 a a) a) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 a #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) (pow.f64 (.f64 a #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 a a) a) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a))
(.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (.f64 (*.f64 a a) a) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 (.f64 (*.f64 a a) a) a) a) a)
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 (.f64 a a) a) a) (*.f64 a a))
(.f64 (.f64 (.f64 a a) a) (pow.f64 (.f64 (*.f64 a a) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (.f64 a a) a) (.f64 (*.f64 a a) a))
(.f64 (.f64 a a) (.f64 (.f64 (*.f64 a a) a) a))
(.f64 a (.f64 (.f64 (.f64 (*.f64 a a) a) a) a))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 a a) a) a) a) a) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (*.f64 a a) a) a) #s(literal 3/2 binary64))
(pow.f64 (.f64 (.f64 a a) a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 3 binary64))
(pow.f64 a #s(literal 6 binary64))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 a) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 3 binary64) (*.f64 (log.f64 a) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (log.f64 a))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 3 binary64)) #s(literal 2 binary64)))

eval315.0ms (3.3%)

Memory: 31.9MiB live, 559.2MiB allocated
Compiler: Compiled 76 180 to 4 866 computations (93.6% saved)

prune276.0ms (2.9%)

Memory

1.2MiB live, 551.2MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	2 083	5	2 088
Fresh	1	4	5
Picked	3	2	5
Done	0	4	4
Total	2 087	15	2 102

Accuracy

100.0%

Counts

2 102 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 a b)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	67.0%	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 b b) b) b))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	73.1%	(fma.f64 (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (- a b) (fma.f64 (/.f64 a b) b (neg.f64 b)))) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	77.2%	(fma.f64 (-.f64 a b) (.f64 #s(approx (/ 1 (- a b)) (/.f64 #s(literal 1 binary64) a)) #s(approx ( (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
	78.1%	(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓	86.7%	(-.f64 (+.f64 (/.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	78.1%	(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) #s(approx (/ 1 (+ (* b b) (* a a))) (/.f64 #s(literal 1 binary64) (.f64 b b))))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	72.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (.f64 a a) a) a #s(literal -1 binary64)))
	31.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) a) a) a) a #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 a a) a) a #s(literal 1 binary64))))
	31.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 a a) a) a #s(literal 1 binary64)))))
✓	62.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
✓	43.0%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b))
✓	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	25.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

Compiler

Compiled 1 078 to 262 computations (75.7% saved)

regimes54.0ms (0.6%)

Memory

15.1MiB live, 93.1MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes29.0ms (0.3%)

Memory

0.4MiB live, 39.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

5.0ms	b
5.0ms	a
4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
4.0ms	(*.f64 b b)
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
97.3%	2	`a`
97.4%	2	`b`
86.8%	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))`
86.8%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
97.3%	2	`(*.f64 a a)`
97.4%	2	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes16.0ms (0.2%)

Memory

-16.0MiB live, 22.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	a
4.0ms	b
3.0ms	(*.f64 a a)
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
86.7%	1	`a`
86.7%	1	`(*.f64 a a)`
95.1%	2	`b`
95.1%	2	`(*.f64 b b)`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes18.0ms (0.2%)

Memory

-33.3MiB live, 20.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

7.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
2.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
76.9%	3	`(*.f64 a a)`
77.1%	3	`a`
73.0%	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))`
73.0%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
77.6%	5	`b`
75.0%	4	`(*.f64 b b)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.0%	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))`
73.0%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
72.8%	2	`(*.f64 a a)`
72.8%	2	`a`

Compiler

Compiled 44 to 27 computations (38.6% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

2 calls:

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))

Results

Accuracy	Segments	Branch
73.0%	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))`
73.0%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`

Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes10.0ms (0.1%)

Memory

-10.6MiB live, 24.4MiB 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 (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

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

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))
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	b
1.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
25.5%	1	`(*.f64 b b)`
25.5%	1	`a`
25.5%	1	`(*.f64 a a)`
25.5%	1	`b`
25.5%	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))`
25.5%	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	1.257491343914978e+33	1.7092538568175155e+36

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	2.1848571379948737e+125	6.854851785052003e+133

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	2.1848571379948737e+125	6.854851785052003e+133

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	2.1848571379948737e+125	6.854851785052003e+133

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1848571379948737e+125	6.854851785052003e+133

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch35.0ms (0.4%)

Memory

-8.6MiB live, 64.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.2305906910190395e-5	422.4248485054552
9.0ms	1.6565502362746852e-246	9.19784198931145e-246

Samples

15.0ms

240×

valid

Compiler

Compiled 277 to 166 computations (40.1% saved)

Precisions

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

ival-mult: 4.0ms (41.5% of total)

ival-add: 2.0ms (20.7% of total)

ival-pow2: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.796703038680674e-19	31841815967.90469

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.796703038680674e-19	31841815967.90469

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify9.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`sub-neg_binary64`
4×	`mul-1-neg_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	597
1	104	597
2	113	597
3	124	597
4	125	597

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1999999999999999891150461974085632 binary64)) (fma.f64 (-.f64 a b) (.f64 #s(approx (/ 1 (- a b)) (/.f64 #s(literal 1 binary64) a)) #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (.f64 a a)))) (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 #s(approx (+ ( b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (.f64 a a) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal 4182107294586631/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (.f64 b b) b) b)) (if (<=.f64 a #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -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 (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a)))) (.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 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1999999999999999891150461974085632 binary64)) (fma.f64 (-.f64 a b) (.f64 #s(approx (/ 1 (- a b)) (/.f64 #s(literal 1 binary64) a)) #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 1999999999999999891150461974085632 binary64)) (fma.f64 (-.f64 a b) (.f64 #s(approx (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (.f64 (.f64 (.f64 a a) a) a)) #s(approx (/ 1 (- a b)) (/.f64 #s(literal 1 binary64) a))) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 b b)))) (.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (.f64 a a)))) (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 b b (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b b) (* a a)) (.f64 a a)))) (.f64 (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 #s(approx (+ ( b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) (-.f64 (+.f64 (/.f64 #s(approx (+ ( b b) (* a a)) (.f64 a a)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( b b) (* a a)) (.f64 a a)))) (.f64 (.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 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (.f64 a a) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 (.f64 b b) #s(literal 399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 a a) (.f64 a a) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 b b) b) b)))
(if (<=.f64 a #s(literal 4182107294586631/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (.f64 b b) b) b)) (if (<=.f64 a #s(literal 1 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* a a) (* a a)) -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 (+ (* (* a a) (* a a)) -1) #s(literal -1 binary64)))

soundness1.4s (14.6%)

Memory

-34.4MiB live, 969.0MiB allocated

Rules

24 056×	`lower-fma.f64`
24 056×	`lower-fma.f32`
11 238×	`lower-fma.f64`
11 238×	`lower-fma.f32`
9 970×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	7291
1	1206	7131
2	3812	6894
0	8393	6484
0	39	382
0	64	315
1	291	242
2	2933	240
0	8929	219
0	442	7499
1	1337	7355
2	4015	7289
0	8310	6887
0	79	1452
1	240	1448
2	677	1416
3	3132	1332
4	7144	1332
0	8169	1196
0	364	5961
1	1091	5845
2	3245	5686
0	8204	5386
0	12	59
0	19	59
1	77	59
2	604	59
0	8066	49

Stop Event

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

Compiler

Compiled 796 to 310 computations (61.1% saved)

preprocess138.0ms (1.5%)

Memory

-5.4MiB live, 152.6MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 792 to 236 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (12.6%)

explain170.0ms (1.8%)

preprocess271.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify189.0ms (2%)

localize64.0ms (0.7%)

series13.0ms (0.1%)

simplify200.0ms (2.1%)

rewrite245.0ms (2.6%)

eval92.0ms (1%)

prune165.0ms (1.7%)

simplify142.0ms (1.5%)

localize117.0ms (1.2%)

series39.0ms (0.4%)

simplify182.0ms (1.9%)

rewrite487.0ms (5.1%)

eval1.0s (10.6%)

prune485.0ms (5.1%)

simplify262.0ms (2.7%)

localize188.0ms (2%)

series40.0ms (0.4%)

simplify182.0ms (1.9%)

rewrite224.0ms (2.3%)

eval253.0ms (2.7%)

prune272.0ms (2.9%)

simplify106.0ms (1.1%)

localize109.0ms (1.1%)

series51.0ms (0.5%)

simplify175.0ms (1.8%)

rewrite283.0ms (3%)

eval315.0ms (3.3%)

prune276.0ms (2.9%)

regimes54.0ms (0.6%)

regimes29.0ms (0.3%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.4s (14.6%)

preprocess138.0ms (1.5%)

end0.0ms (0%)

Profiling