Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.0s (1.9%)

Memory

11.0MiB live, 1 383.2MiB allocated

Samples

759.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-mult: 200.0ms (41% of total)

ival-add: 124.0ms (25.4% of total)

ival-pow2: 105.0ms (21.5% of total)

ival-sub: 40.0ms (8.2% of total)

exact: 9.0ms (1.8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain187.0ms (0.3%)

Memory

-16.7MiB live, 389.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

54.0ms

512×

valid

Compiler

Compiled 151 to 40 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (41.5% of total)

ival-add: 5.0ms (20.8% of total)

ival-pow2: 5.0ms (20.8% of total)

ival-sub: 2.0ms (8.3% of total)

ival-true: 1.0ms (4.2% of total)

exact: 1.0ms (4.2% of total)

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

preprocess303.0ms (0.5%)

Memory

-12.1MiB live, 425.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs b)

(abs a)

Samples

0.0ms

2×

valid

Compiler

Compiled 93 to 41 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB 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)

simplify633.0ms (1.1%)

Memory

0.9MiB live, 1 119.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Samples

121.0ms

3 216×

valid

Compiler

Compiled 31 776 to 21 197 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 35.0ms (63.3% of total)

ival-add: 14.0ms (25.3% of total)

ival-true: 3.0ms (5.4% of total)

exact: 2.0ms (3.6% of total)

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

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

localize35.0ms (0.1%)

Memory

21.9MiB live, 67.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.11947250976844201	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 5.0ms (33.6% of total)

ival-mult: 5.0ms (33.6% of total)

ival-pow2: 3.0ms (20.2% of total)

ival-add: 2.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0%)

Memory

-18.5MiB live, 20.6MiB 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 b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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 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 (pow b 2) (taylor inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (.f64 a a) (.f64 b b)) (patch (+.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (.f64 #s(literal 4 binary64) (.f64 b b)) (patch (.f64 #s(literal 4 binary64) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())) ())

Calls

33 calls:

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

simplify6.5s (11.6%)

Memory

-281.8MiB live, 11 337.0MiB 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	1524
1	240	1456
2	671	1424
3	3124	1332
4	7170	1332
0	8191	1196

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

Samples

2.7s	34 187×	0	valid
2.0ms	5×	2	valid

Compiler

Compiled 596 656 to 389 352 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 1.4s (77.1% of total)

ival-add: 204.0ms (10.9% of total)

ival-div: 147.0ms (7.9% of total)

ival-true: 33.0ms (1.8% of total)

exact: 25.0ms (1.3% of total)

ival-assert: 16.0ms (0.9% of total)

ival-sub: 2.0ms (0.1% of total)

adjust: 0.0ms (0% of total)

rewrite270.0ms (0.5%)

Memory

23.7MiB live, 449.3MiB 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 a (.f64 a (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))))
(+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (.f64 b b)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 a (.f64 a (fma.f64 a a (.f64 b b))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 b (fma.f64 b (.f64 b b) (.f64 (.f64 a a) b)) (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))))
(fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 b b) (fma.f64 a a (.f64 b b)) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 a a) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 b b) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (.f64 b b)) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 b b)) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (.f64 b b)) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) b) b (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) a) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) a) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 a (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 a (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) b) (.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) b) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 b (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 b (sqrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (.f64 a a) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 (.f64 b b) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (.f64 a a) (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (.f64 a (.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) a) a (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b))))
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(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (.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 a b)) (-.f64 a b))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))))) (fma.f64 a (/.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (.f64 b (.f64 b (.f64 b 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))) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))))) (fma.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (-.f64 (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 a a) (.f64 (.f64 a a) (*.f64 a a)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (.f64 a a) (.f64 b (.f64 b (*.f64 b b)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a a) (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (.f64 a a) (.f64 a a) (.f64 b (.f64 b (.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))))
(.f64 (fma.f64 a a (.f64 b b)) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
(.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))
(.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (neg.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (neg.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 a a (.f64 b b)) (+.f64 a b)) (+.f64 a b))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 a a (.f64 b b)))
(.f64 (/.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) (.f64 (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))))))) (fma.f64 a (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a a) (.f64 a a))) (.f64 (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 (.f64 a a) (*.f64 a a))))))
(.f64 (/.f64 (fma.f64 a (.f64 a (.f64 (.f64 a a) (.f64 a a))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))) (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))))) (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 (+.f64 a b) (-.f64 b a)))))
(.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))))
(.f64 b (.f64 b #s(literal 4 binary64)))
(.f64 b (.f64 (*.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 b b) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 b #s(literal 4 binary64)) b)
(.f64 (.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 a a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(*.f64 b b)
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))

eval95.0ms (0.2%)

Memory: -1.8MiB live, 196.7MiB allocated
Compiler: Compiled 38 033 to 1 818 computations (95.2% saved)

prune118.0ms (0.2%)

Memory

-37.8MiB live, 216.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	674	12	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	675	12	687

Accuracy

100.0%

Counts

687 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	49.9%	(fma.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (.f64 b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	17.4%	(fma.f64 (.f64 (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	49.0%	(-.f64 (+.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 a (.f64 (+.f64 a b) (-.f64 a b))) (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	99.9%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	44.2%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	79.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	70.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
	49.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	65.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))))
▶	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 598 to 262 computations (56.2% saved)

simplify1.4s (2.5%)

Memory

70.5MiB live, 2 624.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

20 378×	`lower-fma.f32`
20 368×	`lower-fma.f64`
2 910×	`lower-+.f32`
2 908×	`lower-+.f64`
2 728×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	277
0	55	250
1	103	230
2	199	230
3	421	230
4	919	230
5	2002	230
6	4068	230
7	5960	230
0	8073	229

Stop Event

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

Calls

Call 1

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

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

Samples

424.0ms	10 915×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 104 396 to 72 892 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 122.0ms (59.8% of total)

ival-add: 57.0ms (27.9% of total)

ival-true: 10.0ms (4.9% of total)

ival-assert: 5.0ms (2.4% of total)

exact: 5.0ms (2.4% of total)

ival-sub: 3.0ms (1.5% of total)

ival-div: 2.0ms (1% of total)

adjust: 0.0ms (0% of total)

localize95.0ms (0.2%)

Memory

-29.0MiB live, 171.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.09375	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
accuracy	0.5668422255486473	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy	0.0078125	(fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))
accuracy	1.267422509053025	(.f64 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a))))
accuracy	4.0414526356135685	(.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (*.f64 a a)))
accuracy	27.294221326822473	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)))))
accuracy	0	(*.f64 a a)
accuracy	0.05859375	(fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64))
accuracy	0.0703125	(.f64 a (.f64 a a))
accuracy	18.802332074134014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.0703125	(.f64 a (.f64 a a))
accuracy	0.07421875	(.f64 a (.f64 a (*.f64 a a)))
accuracy	32.16791871419515	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
accuracy	0	(fma.f64 a a (*.f64 b b))
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 b #s(literal 4 binary64))
accuracy	0.07421875	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 270 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (48.7% of total)

ival-add: 9.0ms (25.8% of total)

ival-div: 3.0ms (8.6% of total)

ival-pow2: 3.0ms (8.6% of total)

ival-sub: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

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

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

series27.0ms (0%)

Memory

11.2MiB live, 49.5MiB allocated

Counts

21 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify19.2s (34.5%)

Memory

254.0MiB live, 33 029.9MiB allocated

Algorithm

1×	egg-herbie

Rules

29 706×	`lower-fma.f64`
29 706×	`lower-fma.f32`
5 840×	`lower-*.f64`
5 840×	`lower-*.f32`
2 620×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	5148
1	498	5012
2	1372	4908
3	5747	4490
0	8712	4135

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

Samples

7.2s	103 383×	0	valid
6.0ms	18×	2	valid

Compiler

Compiled 1 992 689 to 1 246 831 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-mult: 3.0s (65.5% of total)

ival-add: 670.0ms (14.4% of total)

ival-div: 436.0ms (9.4% of total)

ival-neg: 107.0ms (2.3% of total)

ival-sub: 104.0ms (2.2% of total)

exact: 94.0ms (2% of total)

ival-true: 93.0ms (2% of total)

ival-pow: 53.0ms (1.1% of total)

ival-assert: 45.0ms (1% of total)

adjust: 2.0ms (0% of total)

rewrite428.0ms (0.8%)

Memory

-1.6MiB live, 788.1MiB allocated

Rules

5 978×	`lower-*.f32`
5 960×	`lower-*.f64`
4 150×	`lower-/.f32`
4 146×	`lower-/.f64`
3 852×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	243
0	55	218
1	230	198
2	1876	198
0	9345	188

Stop Event

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

Counts

21 → 1 324

Calls

Call 1

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

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

eval305.0ms (0.5%)

Memory: 56.3MiB live, 626.4MiB allocated
Compiler: Compiled 125 091 to 3 381 computations (97.3% saved)

prune269.0ms (0.5%)

Memory

-26.9MiB live, 461.0MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	2 061	10	2 071
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	2 068	15	2 083

Accuracy

100.0%

Counts

2 083 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b)) #s(approx (+ (* b (* b 4)) -1) #s(literal -1 binary64)))
▶	49.9%	(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
	64.3%	(/.f64 (fma.f64 (fma.f64 a a (.f64 b b)) (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (/.f64 (fma.f64 b (.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b (.f64 b (.f64 b b))) #s(literal 16 binary64) #s(literal -1 binary64)))))
▶	99.8%	(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	81.0%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	44.2%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (.f64 (+.f64 a b) (-.f64 b a))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	69.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
✓	70.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (.f64 a (.f64 a a)) #s(literal -1 binary64)))
	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
	28.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (-.f64 #s(literal -1 binary64) (.f64 a (.f64 a (.f64 a a))))))
	60.4%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (fma.f64 b (.f64 b #s(literal 2 binary64)) (.f64 a a)) (.f64 a a)))
	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
	49.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	49.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	22.1%	#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 595 to 253 computations (57.5% saved)

simplify1.6s (2.8%)

Memory

27.0MiB live, 3 193.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	0	(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	2752	(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	128	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (*.f64 a a))))
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff	0	(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
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) (fma.f64 a a (*.f64 b b)))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -2 binary64))
cost-diff	0	(-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b)))

Rules

5 174×	`lower-fma.f32`
5 164×	`lower-fma.f64`
4 688×	`lower-*.f32`
4 672×	`lower-*.f64`
1 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	393
0	74	371
1	135	337
2	301	335
3	1528	335
4	5544	335
0	8207	332

Stop Event

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

Calls

Call 1

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

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

Samples

582.0ms	14 010×	0	valid
2.0ms	7×	2	valid

Compiler

Compiled 141 647 to 98 400 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 163.0ms (52.8% of total)

ival-add: 51.0ms (16.5% of total)

ival-div: 35.0ms (11.3% of total)

ival-sub: 23.0ms (7.5% of total)

ival-true: 12.0ms (3.9% of total)

ival-pow: 10.0ms (3.2% of total)

exact: 7.0ms (2.3% of total)

ival-assert: 6.0ms (1.9% of total)

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

adjust: 1.0ms (0.3% of total)

localize115.0ms (0.2%)

Memory

26.0MiB live, 221.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.11947250976844201	(.f64 (fma.f64 a a (.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	0.5746547255486473	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	40.757843764334396	(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.09375	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (*.f64 a a))))
accuracy	0.5668422255486473	(/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))
accuracy	25.33478792185533	#s(approx (+ (* a a) (* b b)) (*.f64 a a))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.03515625	(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	0.05078125	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy	19.274617927936998	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	18.802332074134014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* a (* a (* a a))) -1) #s(literal -1 binary64)))
accuracy	34.8903135162243	#s(approx (+ (* a (* a (* a a))) -1) #s(literal -1 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.015625	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.15300751953688402	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -2 binary64))
accuracy	0.5668422255486473	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))

Samples

67.0ms

256×

valid

Compiler

Compiled 379 to 40 computations (89.4% saved)

Precisions

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

ival-mult: 18.0ms (38.5% of total)

ival-add: 11.0ms (23.5% of total)

ival-div: 6.0ms (12.8% of total)

ival-sub: 4.0ms (8.6% of total)

ival-pow: 4.0ms (8.6% of total)

ival-pow2: 3.0ms (6.4% of total)

exact: 1.0ms (2.1% of total)

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

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

series31.0ms (0.1%)

Memory

18.9MiB live, 57.1MiB allocated

Counts

22 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

simplify23.0s (41.4%)

Memory

-21.3MiB live, 41 924.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 356×	`lower-fma.f64`
9 356×	`lower-fma.f32`
4 112×	`lower-+.f64`
4 112×	`lower-+.f32`
3 812×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	6878
1	1250	6606
2	4590	6575
0	8333	6188

Stop Event

1×	iter limit
1×	node limit

Samples

10.1s	119 265×	0	valid
88.0ms	365×	1	valid
7.0ms	18×	2	valid
4.0ms	24×	1	exit

Compiler

Compiled 2 977 061 to 1 559 613 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.8s

ival-mult: 3.8s (56.8% of total)

ival-add: 1.4s (20.8% of total)

ival-div: 996.0ms (14.7% of total)

ival-pow: 120.0ms (1.8% of total)

ival-true: 109.0ms (1.6% of total)

exact: 100.0ms (1.5% of total)

ival-neg: 73.0ms (1.1% of total)

ival-assert: 52.0ms (0.8% of total)

ival-sub: 44.0ms (0.7% of total)

adjust: 17.0ms (0.3% of total)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (1.9%)

explain187.0ms (0.3%)

preprocess303.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify633.0ms (1.1%)

localize35.0ms (0.1%)

series11.0ms (0%)

simplify6.5s (11.6%)

rewrite270.0ms (0.5%)

eval95.0ms (0.2%)

prune118.0ms (0.2%)

simplify1.4s (2.5%)

localize95.0ms (0.2%)

series27.0ms (0%)

simplify19.2s (34.5%)

rewrite428.0ms (0.8%)

eval305.0ms (0.5%)

prune269.0ms (0.5%)

simplify1.6s (2.8%)

localize115.0ms (0.2%)

series31.0ms (0.1%)

simplify23.0s (41.4%)

end0.0ms (0%)

Profiling