Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze30.0ms (0.4%)

Memory

-19.9MiB live, 19.2MiB 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 (19.1%)

Memory

37.8MiB live, 1 286.3MiB allocated

Samples

777.0ms	8 256×	0	valid
57.0ms	843×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-mult: 135.0ms (28.2% of total)

ival-<=: 90.0ms (18.8% of total)

ival-div: 83.0ms (17.3% of total)

ival-sqrt: 58.0ms (12.1% of total)

ival-fabs: 41.0ms (8.6% of total)

ival-sub: 41.0ms (8.6% of total)

ival-and: 17.0ms (3.6% of total)

exact: 11.0ms (2.3% of total)

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

Bogosity

explain141.0ms (2.1%)

Memory

-11.9MiB live, 148.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
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	65	0
↳	`(*.f64 b b)`	underflow	191
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	65
↳	`(*.f64 a a)`	underflow	65
↳	`(*.f64 a a)`	underflow	65

Confusion

	Predicted +	Predicted -
+	65	0
-	0	191

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	0	0	191

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	191
1	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms

512×

valid

Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.8% of total)

ival-div: 3.0ms (15.9% of total)

ival-fabs: 3.0ms (15.9% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-sub: 2.0ms (10.6% of total)

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

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

preprocess275.0ms (4%)

Memory

-7.0MiB live, 270.2MiB 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)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.3MiB 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
▶	74.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify207.0ms (3%)

Memory

36.6MiB live, 236.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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

localize25.0ms (0.4%)

Memory

-2.6MiB live, 36.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.0078125	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	15.750179628653315	(/.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: 4.0ms (42.4% of total)

ival-div: 2.0ms (21.2% of total)

ival-sqrt: 2.0ms (21.2% of total)

ival-sub: 1.0ms (10.6% of total)

ival-fabs: 1.0ms (10.6% of total)

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

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

series9.0ms (0.1%)

Memory

-35.5MiB live, 9.9MiB 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
3.0ms	a	@	inf	(fabs (/ (- (* a a) (* b b)) (* a a)))
1.0ms	b	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	0	(/ (- (* a a) (* b b)) (* a a))
0.0ms	a	@	inf	(/ (- (* a a) (* b b)) (* a a))
0.0ms	b	@	inf	(/ (- (* a a) (* b b)) (* a a))

simplify276.0ms (4%)

Memory

32.0MiB live, 262.0MiB 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))))

rewrite349.0ms (5.1%)

Memory

-34.3MiB live, 212.7MiB allocated

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) (.f64 a (neg.f64 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)) (.f64 a (neg.f64 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))))) (*.f64 a (neg.f64 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 (neg.f64 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))) (.f64 a (neg.f64 a))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 a (neg.f64 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 (.f64 a (neg.f64 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))

eval114.0ms (1.7%)

Memory: 32.1MiB live, 108.7MiB allocated
Compiler: Compiled 13 936 to 1 666 computations (88% saved)

prune123.0ms (1.8%)

Memory

-25.4MiB live, 95.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	482	5	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	483	5	488

Accuracy

100.0%

Counts

488 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	73.6%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	75.4%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 118 to 78 computations (33.9% saved)

simplify254.0ms (3.7%)

Memory

19.3MiB live, 211.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	320	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) 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

10 758×	`lower-fma.f32`
10 754×	`lower-fma.f64`
4 390×	`lower-*.f32`
4 384×	`lower-*.f64`
1 626×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	213
0	51	213
1	88	207
2	171	207
3	317	203
4	621	203
5	1536	203
6	5753	203
0	8395	203

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

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

localize107.0ms (1.6%)

Memory

12.1MiB live, 96.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	0.00390625	(*.f64 (+.f64 a b) (-.f64 a b))
accuracy	0.1484375	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
accuracy	16.39146570246042	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
accuracy	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	0.00390625	(*.f64 (+.f64 a b) (-.f64 a b))
accuracy	0.015625	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
accuracy	16.39146570246042	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
accuracy	0	(*.f64 a a)
accuracy	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
accuracy	16.736087166308447	(/.f64 b (*.f64 a a))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.7640105842750315	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0	(/.f64 b a)
accuracy	0	(neg.f64 (/.f64 b a))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 215 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 8.0ms (23.6% of total)

ival-mult: 8.0ms (23.6% of total)

ival-sqrt: 6.0ms (17.7% of total)

ival-fabs: 4.0ms (11.8% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

ival-neg: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1%)

Memory

-3.4MiB live, 34.9MiB allocated

Counts

18 → 420

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

Calls

105 calls:

Time	Variable		Point	Expression
40.0ms	b	@	-inf	(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
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)
1.0ms	a	@	0	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)

simplify350.0ms (5.1%)

Memory

-6.3MiB live, 383.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 892×	`lower-fma.f64`
13 892×	`lower-fma.f32`
3 670×	`lower-*.f64`
3 670×	`lower-*.f32`
1 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	3690
1	297	3518
2	835	3506
3	3971	3494
0	8383	3328

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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 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))))))
(* -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))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)

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

rewrite313.0ms (4.6%)

Memory

6.9MiB live, 384.9MiB allocated

Rules

4 524×	`lower-/.f32`
4 516×	`lower-/.f64`
3 758×	`lower-fma.f32`
3 754×	`lower-fma.f64`
3 478×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	51	162
1	181	139
2	1267	139
0	8826	139

Stop Event

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

Counts

18 → 884

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

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

eval253.0ms (3.7%)

Memory: 7.1MiB live, 347.1MiB allocated
Compiler: Compiled 35 552 to 3 545 computations (90% saved)

prune209.0ms (3%)

Memory

-20.1MiB live, 273.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 639	3	1 642
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 640	7	1 647

Accuracy

100.0%

Counts

1 647 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 (+.f64 b a)))) a)
✓	73.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	73.6%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
▶	72.4%	(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	75.4%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 85 to 56 computations (34.1% saved)

simplify224.0ms (3.3%)

Memory

25.5MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fabs.f64 (-.f64 a b))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 a b)))
cost-diff	0	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 (+.f64 b a))))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 (+.f64 b a)))) a)
cost-diff	0	#s(approx (* (+ a b) (- a b)) (*.f64 a a))
cost-diff	0	(fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a))))
cost-diff	320	(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
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))

Rules

13 030×	`lower-fma.f32`
13 028×	`lower-fma.f64`
2 384×	`lower-*.f32`
2 378×	`lower-*.f64`
2 362×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	144
0	43	144
1	65	142
2	101	142
3	171	142
4	331	142
5	599	142
6	1262	142
7	2882	142
8	4988	142
9	6973	142
10	7869	142
0	8163	142

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.1%)

Memory

-34.7MiB live, 86.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (+.f64 b a)))
accuracy	0.015625	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 (+.f64 b a)))) a)
accuracy	0.015625	(sqrt.f64 (fabs.f64 (-.f64 a b)))
accuracy	0.5078125	(*.f64 (sqrt.f64 (fabs.f64 (-.f64 a b))) (sqrt.f64 (fabs.f64 (+.f64 b a))))
accuracy	0	(fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))
accuracy	0.1484375	(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
accuracy	0.7407295051800411	#s(approx (* (+ a b) (- a b)) (*.f64 a a))
accuracy	16.39146570246043	(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a))))
accuracy	0	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
accuracy	0	(/.f64 b a)
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))

Samples

51.0ms

256×

valid

Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 12.0ms (30.8% of total)

ival-mult: 7.0ms (18% of total)

ival-sqrt: 7.0ms (18% of total)

ival-div: 5.0ms (12.8% of total)

ival-add: 4.0ms (10.3% of total)

ival-fabs: 4.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

13 → 312

Calls

Call 1

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

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

Calls

78 calls:

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

simplify225.0ms (3.3%)

Memory

13.1MiB live, 244.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 180×	`lower-fma.f64`
13 180×	`lower-fma.f32`
3 040×	`lower-*.f64`
3 040×	`lower-*.f32`
2 334×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	2604
1	310	2432
2	816	2424
3	3484	2424
0	8229	2354

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite247.0ms (3.6%)

Memory

-17.0MiB live, 263.8MiB allocated

Rules

5 136×	`lower-fma.f32`
5 134×	`lower-fma.f64`
5 094×	`lower-*.f32`
5 088×	`lower-*.f64`
4 346×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	43	114
1	137	112
2	909	112
0	9349	112

Stop Event

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

Counts

13 → 336

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))
(+.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(+.f64 (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 b a)) (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)) (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)))
(+.f64 (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(-.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 (.f64 a a) (.f64 a a))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 b a))))
(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 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 b a) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (+.f64 (/.f64 b 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 (.f64 b b) (.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 a a) b))) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 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 a) #s(literal 1 binary64)) (/.f64 b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 b a)))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (*.f64 b (/.f64 (neg.f64 b) a)) (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 b #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 (.f64 b b) a) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))))
(/.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 (.f64 a a) (.f64 a a))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a))))))))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a)))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.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 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))))) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a))))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (*.f64 a a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) #s(literal -1 binary64))) (fma.f64 b (/.f64 b (.f64 a a)) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) #s(literal 1 binary64))) (fma.f64 b (/.f64 b (.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))))))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (.f64 (.f64 a a) (.f64 (.f64 a a) (*.f64 a a)))))))
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eval78.0ms (1.1%)

Memory: 13.7MiB live, 135.0MiB allocated
Compiler: Compiled 11 559 to 1 285 computations (88.9% saved)

prune70.0ms (1%)

Memory

-16.0MiB live, 105.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	707	1	708
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	708	7	715

Accuracy

100.0%

Counts

715 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	73.6%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
✓	72.4%	(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	75.4%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 85 to 56 computations (34.1% saved)

simplify199.0ms (2.9%)

Memory

28.0MiB live, 262.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 b a) #s(literal 1 binary64))
cost-diff	0	(fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))
cost-diff	704	(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))

Rules

14 190×	`lower-fma.f64`
14 190×	`lower-fma.f32`
2 560×	`lower--.f64`
2 560×	`lower--.f32`
2 330×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
0	16	53
1	30	53
2	63	53
3	121	53
4	227	47
5	517	47
6	1605	47
7	4778	47
8	6868	47
0	8157	44

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.6%)

Memory

0.9MiB live, 39.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 (/.f64 b a) #s(literal -1 binary64))
accuracy	0	(fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))
accuracy	0.03515625	(*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sqrt: 13.0ms (62.9% of total)

ival-div: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

ival-mult: 1.0ms (4.8% of total)

ival-fabs: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-35.0MiB live, 9.1MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
23.0ms	b	@	-inf	(sqrt (fabs (* (+ (/ b a) 1) (+ (/ b a) -1))))
0.0ms	b	@	-inf	(* (+ (/ b a) 1) (+ (/ b a) -1))
0.0ms	a	@	0	(* (+ (/ b a) 1) (+ (/ b a) -1))
0.0ms	b	@	0	(* (+ (/ b a) 1) (+ (/ b a) -1))
0.0ms	a	@	-inf	(sqrt (fabs (* (+ (/ b a) 1) (+ (/ b a) -1))))

simplify223.0ms (3.3%)

Memory

3.9MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 004×	`lower-fma.f64`
16 004×	`lower-fma.f32`
2 806×	`lower-*.f64`
2 806×	`lower-*.f32`
1 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	972
1	170	972
2	475	876
3	1223	876
4	4237	876
0	8101	813

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite271.0ms (4%)

Memory

21.3MiB live, 269.3MiB allocated

Rules

6 298×	`lower-fma.f64`
6 298×	`lower-fma.f32`
4 246×	`lower-*.f32`
4 244×	`lower-*.f64`
3 976×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	16	46
1	63	34
2	540	34
0	9793	34

Stop Event

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

Counts

5 → 746

Calls

Call 1

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

Outputs
(+.f64 (/.f64 b a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 b (neg.f64 a)) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(+.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(+.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(+.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(+.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(+.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(+.f64 (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(+.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) #s(literal -1 binary64)) (/.f64 b (neg.f64 a)))
(+.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) (/.f64 b (neg.f64 a))) #s(literal -1 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 b a)) (/.f64 (.f64 b b) (.f64 a a)))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 (.f64 b b) (.f64 a a))) (/.f64 b a))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 b (/.f64 b a) b) a) (+.f64 (/.f64 b a) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) (.f64 b (.f64 b b))) (.f64 a (.f64 a a))) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64)) (/.f64 (.f64 b b) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64)) (/.f64 (.f64 b b) (*.f64 a a)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 b b) (.f64 a a)) (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))) (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (.f64 b b) (.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))))
(expm1.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
(fma.f64 b (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 b (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) #s(literal -1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) b)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (-.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 b (-.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (-.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal -1 binary64) a)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 b (-.f64 (/.f64 (/.f64 b a) a) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) a)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a))) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a)) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b (neg.f64 a))) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(fma.f64 (+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 a)) b)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 a)) b)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 b b) (*.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 (neg.f64 b) (.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) b)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) b)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) b)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 a b))) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 a b))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (/.f64 a b))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 (fma.f64 b (/.f64 b a) b) a))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (/.f64 b a)) (-.f64 #s(literal -1 binary64) (/.f64 b a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (/.f64 b a)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))) (/.f64 b a)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a))) (*.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a))) (/.f64 b a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a))) #s(literal 1 binary64)) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a)))
(fma.f64 (/.f64 b (neg.f64 a)) #s(literal -1 binary64) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (+.f64 (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b (neg.f64 a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) b) a))))

eval141.0ms (2.1%)

Memory: 10.1MiB live, 163.4MiB allocated
Compiler: Compiled 27 749 to 3 104 computations (88.8% saved)

prune131.0ms (1.9%)

Memory

-18.3MiB live, 180.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	866	0	866
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	866	7	873

Accuracy

100.0%

Counts

873 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	73.6%	(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))
✓	72.4%	(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	75.4%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (+.f64 (/.f64 b a) #s(literal -1 binary64)))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 195 to 103 computations (47.2% saved)

regimes23.0ms (0.3%)

Memory

-10.8MiB live, 28.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

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)

regimes14.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Accuracy

Total -15.9b remaining (-931.5%)

Threshold costs -15.9b (-931.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(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)
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) 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)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.3%	1	`a`
97.3%	1	`b`
97.3%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.3%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.3%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.3%	1	`(*.f64 a a)`
97.3%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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))))

soundness367.0ms (5.4%)

Memory

-27.2MiB live, 169.7MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
4 524×	`lower-/.f32`

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	29	162
0	51	162
1	181	139
2	1267	139
0	8826	139

Stop Event

1×	done
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)

preprocess64.0ms (0.9%)

Memory

25.8MiB live, 70.7MiB 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

start0.0ms (0%)

analyze30.0ms (0.4%)

sample1.3s (19.1%)

explain141.0ms (2.1%)

preprocess275.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify207.0ms (3%)

localize25.0ms (0.4%)

series9.0ms (0.1%)

simplify276.0ms (4%)

rewrite349.0ms (5.1%)

eval114.0ms (1.7%)

prune123.0ms (1.8%)

simplify254.0ms (3.7%)

localize107.0ms (1.6%)

series66.0ms (1%)

simplify350.0ms (5.1%)

rewrite313.0ms (4.6%)

eval253.0ms (3.7%)

prune209.0ms (3%)

simplify224.0ms (3.3%)

localize74.0ms (1.1%)

series18.0ms (0.3%)

simplify225.0ms (3.3%)

rewrite247.0ms (3.6%)

eval78.0ms (1.1%)

prune70.0ms (1%)

simplify199.0ms (2.9%)

localize38.0ms (0.6%)

series29.0ms (0.4%)

simplify223.0ms (3.3%)

rewrite271.0ms (4%)

eval141.0ms (2.1%)

prune131.0ms (1.9%)

regimes23.0ms (0.3%)

regimes14.0ms (0.2%)

simplify5.0ms (0.1%)

soundness367.0ms (5.4%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling