Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze12.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB 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)

sample1.5s (21.9%)

Memory

23.6MiB live, 1 269.0MiB allocated

Samples

997.0ms	8 256×	0	valid
77.0ms	838×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 652.0ms

ival-<=: 174.0ms (26.7% of total)

ival-mult: 166.0ms (25.5% of total)

ival-sqrt: 98.0ms (15% of total)

ival-sub: 84.0ms (12.9% of total)

ival-div: 54.0ms (8.3% of total)

ival-fabs: 43.0ms (6.6% of total)

ival-and: 18.0ms (2.8% of total)

exact: 11.0ms (1.7% of total)

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

Bogosity

explain118.0ms (1.8%)

Memory

1.2MiB live, 125.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
46	-	-	`(/.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	46	0
↳	`(*.f64 b b)`	underflow	184
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	46
↳	`(*.f64 a a)`	underflow	46
↳	`(*.f64 a a)`	underflow	46

Confusion

	Predicted +	Predicted -
+	46	0
-	0	210

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	0	0
-	0	0	210

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 26.0ms (62.4% of total)

ival-mult: 6.0ms (14.4% of total)

ival-div: 3.0ms (7.2% of total)

ival-sqrt: 3.0ms (7.2% of total)

ival-fabs: 2.0ms (4.8% of total)

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

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

preprocess242.0ms (3.6%)

Memory

-7.2MiB live, 271.9MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify183.0ms (2.7%)

Memory

11.8MiB live, 214.4MiB 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

localize24.0ms (0.4%)

Memory

-3.6MiB live, 36.0MiB 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	11.161540366111963	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (31.9% of total)

ival-div: 2.0ms (21.3% of total)

ival-sqrt: 2.0ms (21.3% 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)

series6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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
1.0ms	b	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	inf	(/ (- (* a a) (* b b)) (* a a))
0.0ms	b	@	inf	(/ (- (* a a) (* b b)) (* a a))
0.0ms	a	@	0	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

simplify324.0ms (4.8%)

Memory

-13.2MiB live, 300.2MiB 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))))

rewrite251.0ms (3.7%)

Memory

-13.1MiB live, 248.4MiB 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)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a (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))

eval73.0ms (1.1%)

Memory: -13.2MiB live, 100.4MiB allocated
Compiler: Compiled 13 936 to 1 666 computations (88% saved)

prune85.0ms (1.3%)

Memory

7.6MiB live, 130.7MiB 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
▶	81.6%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	82.6%	(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 (+.f64 a b) a) (-.f64 a b)) a)))
▶	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 118 to 76 computations (35.6% saved)

simplify185.0ms (2.8%)

Memory

17.9MiB live, 210.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.7%)

Memory

-8.1MiB live, 113.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
accuracy	0.01171875	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
accuracy	0.02734375	(/.f64 (+.f64 a b) a)
accuracy	0.0546875	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))
accuracy	0	(*.f64 (+.f64 a b) (-.f64 a b))
accuracy	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy	0.01171875	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
accuracy	11.433236017462882	(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	11.725771634112784	(/.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	1.3023522659963194	#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

86.0ms

256×

valid

Compiler

Compiled 224 to 34 computations (84.8% saved)

Precisions

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

ival-div: 19.0ms (27.3% of total)

ival-fabs: 19.0ms (27.3% of total)

ival-sqrt: 17.0ms (24.4% of total)

ival-mult: 8.0ms (11.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory

11.7MiB live, 49.7MiB allocated

Counts

22 → 516

Calls

Call 1

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

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

Calls

129 calls:

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

simplify256.0ms (3.8%)

Memory

-18.8MiB live, 294.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4389
1	398	4220
2	1156	4178
3	6305	4178
0	8639	3964

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

Calls

Call 1

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

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

rewrite319.0ms (4.8%)

Memory

15.4MiB live, 378.5MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	57	195
1	199	166
2	1447	166
0	8335	166

Stop Event

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

Counts

22 → 1 232

Calls

Call 1

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

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

eval311.0ms (4.6%)

Memory: 3.8MiB live, 422.8MiB allocated
Compiler: Compiled 38 050 to 3 976 computations (89.6% saved)

prune177.0ms (2.6%)

Memory

4.7MiB live, 257.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 786	2	1 788
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 787	6	1 793

Accuracy

100.0%

Counts

1 793 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.6%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	80.8%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	82.6%	(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 (+.f64 a b) a) (-.f64 a b)) a)))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify282.0ms (4.2%)

Memory

23.6MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
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	0	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))) 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

11 438×	`lower-fma.f32`
11 436×	`lower-fma.f64`
3 330×	`lower--.f64`
3 330×	`lower--.f32`
2 238×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
0	24	88
1	37	88
2	67	88
3	129	88
4	278	88
5	529	88
6	1114	88
7	2499	88
8	4494	88
9	6150	88
10	7079	88
11	7605	88
12	7851	88
13	7911	88
0	8929	88

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)))) 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

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)))) 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

localize71.0ms (1.1%)

Memory

-24.9MiB live, 58.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))
accuracy	0.01171875	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))) a)
accuracy	0.5289110309673227	#s(approx (* (+ a b) (- a b)) (*.f64 a a))
accuracy	11.433236017462882	(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

38.0ms

256×

valid

Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 15.0ms (51.1% of total)

ival-div: 4.0ms (13.6% of total)

ival-mult: 4.0ms (13.6% of total)

ival-add: 2.0ms (6.8% of total)

ival-fabs: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

8 → 192

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)))) a) (patch (/.f64 (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))) 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>) () ())

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

Calls

48 calls:

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

simplify218.0ms (3.3%)

Memory

-12.9MiB live, 255.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 132×	`lower-fma.f64`
12 132×	`lower-fma.f32`
3 226×	`lower--.f64`
3 226×	`lower--.f32`
3 044×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1740
1	272	1616
2	782	1608
3	3438	1608
0	8219	1538

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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))

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

rewrite260.0ms (3.9%)

Memory

-5.1MiB live, 202.5MiB allocated

Rules

4 512×	`lower-fma.f32`
4 510×	`lower-fma.f64`
3 952×	`lower-*.f32`
3 950×	`lower-*.f64`
3 426×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
0	24	78
1	87	78
2	627	78
3	7416	78
0	8270	78

Stop Event

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

Counts

8 → 224

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)))) 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))

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

eval55.0ms (0.8%)

Memory: 32.8MiB live, 69.2MiB allocated
Compiler: Compiled 8 009 to 930 computations (88.4% saved)

prune57.0ms (0.8%)

Memory

-27.5MiB live, 94.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	467	7	474

Accuracy

100.0%

Counts

474 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.6%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	80.8%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))) a)
▶	80.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	82.6%	(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 (+.f64 a b) a) (-.f64 a b)) a)))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 80 to 51 computations (36.3% saved)

simplify581.0ms (8.7%)

Memory

16.0MiB live, 403.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

38 128×	`lower-fma.f64`
38 128×	`lower-fma.f32`
8 828×	`lower-+.f64`
8 828×	`lower-+.f32`
3 176×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
0	17	61
1	26	59
2	48	59
3	96	59
4	208	59
5	372	59
6	710	59
7	1345	59
8	2332	59
9	2991	59
10	3169	59
11	3227	59
12	3266	59
13	3266	59
14	3270	59
15	3270	59
0	8375	59

Stop Event

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

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

-8.9MiB live, 30.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))
accuracy	0.16015625	(.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))))
accuracy	0.5289110309673227	#s(approx (* (+ a b) (- a b)) (*.f64 a a))
accuracy	11.433236017462882	(sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a))))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (34.1% of total)

ival-div: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-add: 1.0ms (8.5% of total)

ival-fabs: 1.0ms (8.5% of total)

ival-sub: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify202.0ms (3%)

Memory

29.1MiB live, 187.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 110×	`lower-fma.f64`
12 110×	`lower-fma.f32`
2 978×	`lower--.f64`
2 978×	`lower--.f32`
2 754×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1014
1	254	894
2	739	882
3	3220	882
0	8205	878

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* (/ 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 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 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 (* -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))

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

rewrite230.0ms (3.4%)

Memory

-15.3MiB live, 185.0MiB allocated

Rules

4 138×	`lower-/.f32`
4 136×	`lower-/.f64`
3 648×	`lower-*.f32`
3 644×	`lower-*.f64`
3 138×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	17	56
1	56	54
2	332	54
3	4268	54
0	9305	54

Stop Event

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

Counts

5 → 92

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) a) (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))

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

eval22.0ms (0.3%)

Memory: -9.8MiB live, 28.3MiB allocated
Compiler: Compiled 2 671 to 269 computations (89.9% saved)

prune17.0ms (0.3%)

Memory

24.2MiB live, 24.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	200	7	207

Accuracy

100.0%

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.6%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	80.8%	(/.f64 (sqrt.f64 (fabs.f64 #s(approx (* (+ a b) (- a b)) (*.f64 a a)))) a)
✓	80.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fabs.f64 #s(approx ( (+ a b) (- a b)) (*.f64 a a)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	82.6%	(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 (+.f64 a b) a) (-.f64 a b)) a)))
✓	98.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 172 to 91 computations (47.1% saved)

regimes21.0ms (0.3%)

Memory

-13.7MiB live, 25.8MiB allocated

Counts

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

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

Calls

7 calls:

3.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
3.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
3.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes14.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Accuracy

Total -11.2b remaining (-888.1%)

Threshold costs -11.2b (-888.1%)

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

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
98.0%	1	`a`
98.0%	1	`b`
98.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.0%	1	`(*.f64 a a)`
98.0%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify18.0ms (0.3%)

Memory

-32.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	18	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness401.0ms (6%)

Memory

14.7MiB live, 217.4MiB allocated

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31
0	32	199
0	57	195
1	199	166
2	1447	166
0	8335	166

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)

preprocess26.0ms (0.4%)

Memory

-0.5MiB live, 38.1MiB 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%)

analyze12.0ms (0.2%)

sample1.5s (21.9%)

explain118.0ms (1.8%)

preprocess242.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (2.7%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

simplify324.0ms (4.8%)

rewrite251.0ms (3.7%)

eval73.0ms (1.1%)

prune85.0ms (1.3%)

simplify185.0ms (2.8%)

localize116.0ms (1.7%)

series39.0ms (0.6%)

simplify256.0ms (3.8%)

rewrite319.0ms (4.8%)

eval311.0ms (4.6%)

prune177.0ms (2.6%)

simplify282.0ms (4.2%)

localize71.0ms (1.1%)

series6.0ms (0.1%)

simplify218.0ms (3.3%)

rewrite260.0ms (3.9%)

eval55.0ms (0.8%)

prune57.0ms (0.8%)

simplify581.0ms (8.7%)

localize31.0ms (0.5%)

series4.0ms (0.1%)

simplify202.0ms (3%)

rewrite230.0ms (3.4%)

eval22.0ms (0.3%)

prune17.0ms (0.3%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

simplify18.0ms (0.3%)

soundness401.0ms (6%)

preprocess26.0ms (0.4%)

end0.0ms (0%)

Profiling