Metrics for Eccentricity of an ellipse

analyze12.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	62.5%	0%	18.7%	0%	2
0%	0%	9.4%	62.5%	0%	28.1%	0%	3
0%	0%	9.4%	62.5%	0%	28.1%	0%	4
0%	0%	7%	62.5%	0%	30.4%	0%	5
20%	1.2%	4.7%	62.5%	0%	31.6%	0%	6
25%	1.2%	3.5%	62.5%	0%	32.8%	0%	7
40%	1.8%	2.6%	62.5%	0%	33.1%	0%	8
51.9%	2%	1.9%	62.5%	0%	33.5%	0%	9
64.7%	2.4%	1.3%	62.5%	0%	33.7%	0%	10
72.9%	2.6%	1%	62.5%	0%	33.9%	0%	11
80.2%	2.7%	0.7%	62.5%	0%	34%	0%	12

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (15.9%)

Memory

-19.3MiB live, 1 485.5MiB allocated

Samples

814.0ms	8 256×	0	valid
56.0ms	810×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 594.0ms

ival-mult: 167.0ms (28.1% of total)

ival-<=: 120.0ms (20.2% of total)

ival-div: 97.0ms (16.3% of total)

ival-sqrt: 75.0ms (12.6% of total)

ival-fabs: 61.0ms (10.3% of total)

ival-sub: 42.0ms (7.1% of total)

ival-and: 18.0ms (3% of total)

exact: 11.0ms (1.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess336.0ms (4.2%)

Memory

38.5MiB live, 465.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
4 304×	`lower-*.f32`
4 300×	`lower-*.f64`
1 434×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	85	57
2	338	57
3	2529	57
4	6437	57
0	8	13
0	14	13
1	30	11
2	75	11
3	199	11
4	482	11
5	1723	11
6	5645	11
0	8181	10

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

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

Symmetry

(abs b)

(abs a)

explain146.0ms (1.8%)

Memory

-1.2MiB live, 207.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
61	-	1	(1.0545287436711239e-156 4.554485280973738e-164)	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	0	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`	u/u	60	0
↳	`(*.f64 b b)`	underflow	200
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	60
↳	`(*.f64 a a)`	underflow	60
↳	`(*.f64 a a)`	underflow	60

Confusion

	Predicted +	Predicted -
+	60	0
-	0	196

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	0	0	196

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sqrt: 30.0ms (66.9% of total)

ival-mult: 6.0ms (13.4% of total)

ival-div: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.5% of total)

ival-fabs: 2.0ms (4.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify299.0ms (3.7%)

Memory

-6.1MiB live, 306.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	cost-diff	128	(-.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	128	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
✓	cost-diff	192	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Rules

9 090×	`lower-fma.f64`
9 090×	`lower-fma.f32`
4 304×	`lower-*.f32`
4 300×	`lower-*.f64`
1 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	30	45
2	75	45
3	199	45
4	482	45
5	1723	45
6	5645	45
0	8181	43

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

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

localize26.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
✓	accuracy	100.0%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	accuracy	77.3%	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (32.5% of total)

ival-div: 2.0ms (21.7% of total)

ival-sqrt: 2.0ms (21.7% of total)

ival-sub: 1.0ms (10.8% of total)

ival-fabs: 1.0ms (10.8% of total)

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

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

series18.0ms (0.2%)

Memory

-26.0MiB live, 11.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 a a) (.f64 b b)) (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a)))) #<representation binary64>) () ())

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

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	a	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	b	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	inf	(/ (- (* a a) (* b b)) (* a a))
1.0ms	b	@	inf	(/ (- (* a a) (* b b)) (* a a))
0.0ms	a	@	0	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

simplify420.0ms (5.3%)

Memory

2.2MiB live, 485.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
1 900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite318.0ms (4%)

Memory

-1.8MiB live, 307.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 746×	`lower-fma.f64`
3 746×	`lower-fma.f32`
3 566×	`lower-*.f32`
3 562×	`lower-*.f64`
2 844×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31

Stop Event

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

Counts

4 → 391

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (*.f64 a a))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))) #s(literal 1 binary64))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (.f64 a a)) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a))
(/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (.f64 a a)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (neg.f64 (*.f64 a a))))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (neg.f64 (.f64 a a)) (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (*.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (neg.f64 (.f64 a a))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (neg.f64 (.f64 a a)) (neg.f64 (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) a)
(/.f64 (-.f64 a (/.f64 (*.f64 b b) a)) (neg.f64 (neg.f64 a)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (.f64 a a)))
(/.f64 (.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (.f64 (-.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (+.f64 a b)) (+.f64 a b))
(/.f64 (.f64 (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)) (+.f64 a b)) (fma.f64 b (+.f64 a b) (.f64 a a)))
(pow.f64 (*.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))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (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 (fma.f64 a a (.f64 b b)) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 a b))))
(.f64 (+.f64 a b) (.f64 (-.f64 a b) #s(literal 1 binary64)))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (-.f64 a b) (.f64 (+.f64 a b) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 a b) (-.f64 b a)))
(.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b)))
(*.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (sqrt.f64 (neg.f64 (.f64 a a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 a))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))

eval92.0ms (1.2%)

Memory: 8.3MiB live, 82.1MiB allocated
Compiler: Compiled 13 936 to 1 666 computations (88% saved)

prune106.0ms (1.3%)

Memory

-17.8MiB live, 123.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	481	6	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	6	488

Accuracy

100.0%

Counts

488 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
	76.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (*.f64 a a))))))))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
▶	96.9%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 186 to 102 computations (45.2% saved)

simplify275.0ms (3.4%)

Memory

22.3MiB live, 336.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
✓	cost-diff	128	(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a))
✓	cost-diff	192	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
✓	cost-diff	0	(*.f64 (+.f64 a b) (-.f64 a b))
✓	cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	cost-diff	0	(/.f64 b (*.f64 a a))
✓	cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	cost-diff	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓	cost-diff	128	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))

Rules

10 442×	`lower-fma.f32`
10 438×	`lower-fma.f64`
3 108×	`lower-*.f32`
3 102×	`lower-*.f64`
1 350×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	222
0	57	218
1	97	212
2	194	206
3	356	204
4	726	204
5	2049	204
6	6310	204
0	8278	204

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.6%)

Memory

1.2MiB live, 155.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
✓	accuracy	100.0%	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))
✓	accuracy	100.0%	(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) (-.f64 a b))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	accuracy	77.3%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	accuracy	76.8%	(/.f64 b (*.f64 a a))
✓	accuracy	100.0%	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	accuracy	96.8%	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

87.0ms

256×

valid

Compiler

Compiled 224 to 34 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 31.0ms (44% of total)

ival-sqrt: 11.0ms (15.6% of total)

ival-div: 10.0ms (14.2% of total)

ival-mult: 9.0ms (12.8% of total)

ival-fabs: 6.0ms (8.5% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory

-23.0MiB live, 65.3MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) (patch (sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) (patch (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) (patch #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 b (.f64 a a)) (patch (/.f64 b (.f64 a a)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) a) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (patch (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) (patch (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 a b) (-.f64 a b)) (patch (.f64 (+.f64 a b) (-.f64 a b)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a) (patch (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) (patch (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)) (patch (fabs.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 b a)) (patch (neg.f64 (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 a b) a) (patch (/.f64 (+.f64 a b) a) #<representation binary64>) () ())

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

Calls

126 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
3.0ms	b	@	0	(* (/ (+ a b) a) (- a b))
1.0ms	b	@	0	(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms	a	@	-inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
1.0ms	b	@	0	(+ (* (/ b a) (neg (/ b a))) 1)

simplify757.0ms (9.5%)

Memory

-136.4MiB live, 479.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 532×	`lower-fma.f64`
14 532×	`lower-fma.f32`
3 138×	`lower-*.f64`
3 138×	`lower-*.f32`
3 034×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4353
1	398	4184
2	1156	4142
3	6305	4142
0	8639	3928

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 501

Calls

Call 1

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

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

rewrite318.0ms (4%)

Memory

32.3MiB live, 394.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 634×	`lower-/.f32`
5 624×	`lower-/.f64`
3 954×	`lower-*.f32`
3 948×	`lower-*.f64`
3 394×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	196
0	57	192
1	199	163
2	1447	163
0	8335	163

Stop Event

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

Counts

21 → 1 218

Calls

Call 1

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

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

eval293.0ms (3.7%)

Memory: -9.3MiB live, 290.7MiB allocated
Compiler: Compiled 37 752 to 3 906 computations (89.7% saved)

prune176.0ms (2.2%)

Memory

16.1MiB live, 226.9MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 759	3	1 762
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 762	6	1 768

Accuracy

100.0%

Counts

1 768 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))))
✓	96.9%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 74 to 47 computations (36.5% saved)

simplify280.0ms (3.5%)

Memory

-18.5MiB live, 252.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a))
✓	cost-diff	0	(/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)
✓	cost-diff	0	(fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))))
✓	cost-diff	128	(fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))
✓	cost-diff	896	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))

Rules

10 178×	`lower-fma.f32`
10 174×	`lower-fma.f64`
3 672×	`lower-*.f32`
3 670×	`lower-*.f64`
2 310×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	199
0	47	209
1	84	209
2	156	199
3	373	199
4	1150	185
5	4110	185
0	8290	185

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.1%)

Memory

9.1MiB live, 84.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	accuracy	100.0%	(fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))
✓	accuracy	100.0%	#s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)))
✓	accuracy	100.0%	(/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))))
✓	accuracy	100.0%	(*.f64 (/.f64 a (+.f64 b a)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))
✓	accuracy	99.9%	(/.f64 a (+.f64 b a))

Samples

48.0ms

256×

valid

Compiler

Compiled 173 to 29 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 11.0ms (33.9% of total)

ival-mult: 6.0ms (18.5% of total)

ival-add: 5.0ms (15.4% of total)

ival-sqrt: 5.0ms (15.4% of total)

ival-fabs: 4.0ms (12.3% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

14 → 336

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)) (patch (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))) (patch (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())
#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a) (patch (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) (patch #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) (patch (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (/ b a))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ b a)) (/ b a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow b 2) (pow a 2))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 a (+.f64 b a)) a) (-.f64 a b))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))) (taylor -inf a) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor 0 b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2)))) (taylor inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))) (taylor -inf b) (#s(alt (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) (patch (sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a))) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) #<representation binary64>) () ())) ())
#s(alt (fabs (/ (* (+ a b) (- a b)) (pow a 2))) (taylor 0 a) (#s(alt (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) (patch (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)) #<representation binary64>) () ())) ())
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#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf b) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor 0 a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- (/ (pow b 2) (pow a 2)) 1)) (taylor -inf a) (#s(alt (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) (patch (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf a) (#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor 0 a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) (taylor inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) (taylor inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a))) (taylor -inf a) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ b a))) (taylor 0 b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (- (/ b (pow a 2)) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a)))) (taylor 0 b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (* -1 (/ (pow a 2) b))) b) (taylor inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b) (taylor inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b) (taylor inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ a b) (taylor -inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b)) (taylor -inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b)) (taylor -inf b) (#s(alt (/.f64 a (+.f64 b a)) (patch (/.f64 a (+.f64 b a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) b) (taylor 0 a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b))) (taylor 0 a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))) (taylor 0 a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (* -1 (/ b a)))) (taylor inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))) (taylor inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))) (taylor inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ b a) 1))) (taylor -inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1))) (taylor -inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1))) (taylor -inf a) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* -1 b)) (taylor 0 b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* b (- (/ b a) 1))) (taylor 0 b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1))) (taylor 0 b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) b) (taylor inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b) (taylor inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b) (taylor inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b) (taylor inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow a 2) b) (taylor -inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b)) (taylor -inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b)) (taylor -inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b)) (taylor -inf b) (#s(alt (.f64 (/.f64 a (+.f64 b a)) a) (patch (.f64 (/.f64 a (+.f64 b a)) a) #<representation binary64>) () ())) ())

Calls

84 calls:

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

simplify367.0ms (4.6%)

Memory

-24.5MiB live, 304.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 314×	`lower-fma.f64`
10 314×	`lower-fma.f32`
3 110×	`lower-+.f64`
3 110×	`lower-+.f32`
2 422×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	3932
1	1112	3396
2	3830	3339
0	8419	3233

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

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

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

rewrite350.0ms (4.4%)

Memory

8.1MiB live, 317.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 900×	`lower-/.f32`
4 888×	`lower-/.f64`
4 178×	`lower-*.f32`
4 176×	`lower-*.f64`
3 414×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	172
0	47	168
1	187	162
2	1396	161
0	8589	161

Stop Event

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

Counts

14 → 852

Calls

Call 1

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

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

eval186.0ms (2.3%)

Memory: 3.8MiB live, 237.8MiB allocated
Compiler: Compiled 26 083 to 3 437 computations (86.8% saved)

prune183.0ms (2.3%)

Memory

13.2MiB live, 249.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 232	1	1 233
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 233	6	1 239

Accuracy

100.0%

Counts

1 239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)))
▶	77.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))
✓	96.9%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 72 to 45 computations (37.5% saved)

simplify372.0ms (4.7%)

Memory

26.3MiB live, 330.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
✓	cost-diff	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
✓	cost-diff	(fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
✓	cost-diff	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))

Rules

9 202×	`lower-fma.f32`
9 200×	`lower-fma.f64`
2 980×	`lower-*.f32`
2 978×	`lower-*.f64`
2 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	108
0	22	108
1	40	108
2	58	108
3	80	108
4	111	108
5	289	108
6	665	108
7	1352	108
8	2857	108
9	4550	108
10	5635	108
11	6002	108
12	6184	108
13	6296	108
14	6298	108
15	6801	108
16	7732	108
0	8110	108

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

-35.2MiB live, 64.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
✓	accuracy	98.3%	#s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
✓	accuracy	76.8%	(/.f64 b (*.f64 a a))

Samples

35.0ms

256×

valid

Compiler

Compiled 75 to 17 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 7.0ms (38% of total)

ival-mult: 4.0ms (21.7% of total)

ival-add: 3.0ms (16.3% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-fabs: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

simplify215.0ms (2.7%)

Memory

18.8MiB live, 213.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 518×	`lower-fma.f64`
6 518×	`lower-fma.f32`
3 148×	`lower-*.f64`
3 148×	`lower-*.f32`
1 884×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1481
1	575	1213
2	2319	1175
3	7565	1175
0	8764	1159

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite279.0ms (3.5%)

Memory

-4.5MiB live, 309.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 020×	`lower-fma.f32`
5 018×	`lower-fma.f64`
4 632×	`lower-*.f32`
4 630×	`lower-*.f64`
3 886×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	94
0	22	95
1	105	95
2	694	87
3	7627	87
0	8225	87

Stop Event

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

Counts

5 → 111

Calls

Call 1

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

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

eval25.0ms (0.3%)

Memory: 1.4MiB live, 39.3MiB allocated
Compiler: Compiled 3 452 to 499 computations (85.5% saved)

prune50.0ms (0.6%)

Memory

-15.7MiB live, 34.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	231	6	237

Accuracy

100.0%

Counts

237 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.5%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
	77.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (* (/ a (+ b a)) a) (- a b)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (* (/ (+ a b) a) (- a b)) (fma.f64 b (/.f64 b (neg.f64 a)) a)) a)))
✓	96.9%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 229 to 106 computations (53.7% saved)

regimes31.0ms (0.4%)

Memory

-10.3MiB live, 28.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))

Calls

7 calls:

12.0ms	b
4.0ms	a
3.0ms	(*.f64 a a)
3.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
3.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
100.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes11.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -13.5b remaining (-692.8%)

Threshold costs -13.5b (-692.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)

Outputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Calls

7 calls:

2.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
1.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

Accuracy	Segments	Branch
96.9%	1	`a`
96.9%	1	`b`
96.9%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
96.9%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
96.9%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
96.9%	1	`(*.f64 a a)`
96.9%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	18	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness375.0ms (4.7%)

Memory

-16.6MiB live, 179.8MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 634×	`lower-/.f32`
5 624×	`lower-/.f64`
5 538×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31
0	32	196
0	57	192
1	199	163
2	1447	163
0	8335	163

Stop Event

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

preprocess35.0ms (0.4%)

Memory

2.1MiB live, 41.0MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 110 to 64 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

sample1.3s (15.9%)

preprocess336.0ms (4.2%)

explain146.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify299.0ms (3.7%)

localize26.0ms (0.3%)

series18.0ms (0.2%)

simplify420.0ms (5.3%)

rewrite318.0ms (4%)

eval92.0ms (1.2%)

prune106.0ms (1.3%)

simplify275.0ms (3.4%)

localize132.0ms (1.6%)

series72.0ms (0.9%)

simplify757.0ms (9.5%)

rewrite318.0ms (4%)

eval293.0ms (3.7%)

prune176.0ms (2.2%)

simplify280.0ms (3.5%)

localize87.0ms (1.1%)

series17.0ms (0.2%)

simplify367.0ms (4.6%)

rewrite350.0ms (4.4%)

eval186.0ms (2.3%)

prune183.0ms (2.3%)

simplify372.0ms (4.7%)

localize50.0ms (0.6%)

series5.0ms (0.1%)

simplify215.0ms (2.7%)

rewrite279.0ms (3.5%)

eval25.0ms (0.3%)

prune50.0ms (0.6%)

regimes31.0ms (0.4%)

regimes11.0ms (0.1%)

simplify5.0ms (0.1%)

soundness375.0ms (4.7%)

preprocess35.0ms (0.4%)

end0.0ms (0%)

Profiling