Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (27.9%)

Memory

-11.8MiB live, 687.7MiB allocated

Samples

789.0ms	8 256×	0	valid
136.0ms	821×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-mult: 204.0ms (33% of total)

ival-<=: 113.0ms (18.3% of total)

ival-fabs: 100.0ms (16.2% of total)

ival-sub: 60.0ms (9.7% of total)

ival-sqrt: 57.0ms (9.2% of total)

ival-div: 54.0ms (8.7% of total)

ival-and: 17.0ms (2.7% of total)

exact: 10.0ms (1.6% of total)

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

Bogosity

explain110.0ms (2.4%)

Memory

-23.1MiB live, 159.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
63	-	-	`(/.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	63	0
↳	`(*.f64 b b)`	underflow	176
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	63
↳	`(*.f64 a a)`	underflow	63
↳	`(*.f64 a a)`	underflow	63

Confusion

	Predicted +	Predicted -
+	63	0
-	0	193

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	0
-	0	0	193

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 121 to 28 computations (76.9% saved)

Precisions

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

ival-mult: 6.0ms (33.6% of total)

ival-div: 3.0ms (16.8% of total)

ival-sqrt: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

ival-fabs: 2.0ms (11.2% of total)

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

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

preprocess174.0ms (3.8%)

Memory

1.5MiB live, 198.0MiB 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 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))

Symmetry

(abs b)

(abs a)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify118.0ms (2.6%)

Memory

19.1MiB live, 138.6MiB 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 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(fma.f64 (/.f64 b (*.f64 a a)) (neg.f64 b) #s(literal 1 binary64))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize26.0ms (0.6%)

Memory

-7.0MiB live, 32.4MiB 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	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	15.269707299110042	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

21.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 7.0ms (49.2% of total)

ival-mult: 3.0ms (21.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

ival-div: 1.0ms (7% of total)

ival-fabs: 1.0ms (7% of total)

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

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

series7.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB 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 (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 (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 (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 (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 (* -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 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 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 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 (* -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 -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 -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 -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 (* -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 (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 (* -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 (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 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 (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 (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 (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 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 (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 (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 (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>) () ())) ())

Calls

6 calls:

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

simplify167.0ms (3.6%)

Memory

14.4MiB live, 170.2MiB 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	954
1	55	840
2	165	840
3	712	840
4	3843	840
0	8014	792

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

rewrite177.0ms (3.8%)

Memory

-10.5MiB live, 230.3MiB 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 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (fma.f64 (.f64 b (+.f64 b a)) (.f64 b (-.f64 b a)) (.f64 (.f64 (*.f64 a a) a) a)))
(.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (.f64 (.f64 (*.f64 a a) a) a)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (/.f64 a (+.f64 b a)))) (-.f64 a b))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (+.f64 b a)) (-.f64 a b))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a)) (/.f64 (-.f64 a b) a))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal -1 binary64) (.f64 a a)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (/.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 (-.f64 a b) (.f64 a a)))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) a) (/.f64 (-.f64 a b) (neg.f64 a)))
(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (neg.f64 (-.f64 a b)) a))
(.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 a b)) (.f64 a a)))
(.f64 (/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) a))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) a))
(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))
(.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(.f64 (neg.f64 (+.f64 b a)) (/.f64 (-.f64 a b) (.f64 (neg.f64 a) a)))
(.f64 (neg.f64 (+.f64 b a)) (.f64 (-.f64 a b) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (*.f64 (+.f64 b a) (-.f64 b a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a (/.f64 (.f64 b b) a)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(.f64 (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 a a) a) a)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 b (*.f64 a a)) b)))
(.f64 (-.f64 a (/.f64 (.f64 b b) a)) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 a b) (.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (.f64 b b) b) b))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 (.f64 (.f64 a a) a) a)) (-.f64 (.f64 (neg.f64 b) b) (.f64 a a)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (.f64 (.f64 b b) b) b) (fma.f64 (.f64 (.f64 a a) a) a (.f64 (.f64 (.f64 b b) b) b))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a))) (fma.f64 b b (.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 (.f64 b b) b) b (-.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 b (.f64 a a)) (neg.f64 b)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a))))
(/.f64 (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))
(neg.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)))) (-.f64 (.f64 (.f64 a a) (.f64 (-.f64 a b) (+.f64 b a))) (.f64 (.f64 (.f64 b b) b) b)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 a a) (.f64 (.f64 (.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a))) (fma.f64 b b (.f64 a a))) (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b))))) (fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 a a) a) a)) a (.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (-.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)) (.f64 (.f64 (.f64 a a) a) a)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (fma.f64 (.f64 b b) b (.f64 (.f64 a a) a)) (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (-.f64 a b)))) (fma.f64 (.f64 b (+.f64 b a)) (.f64 b (-.f64 b a)) (.f64 (.f64 (.f64 a a) a) a)) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) a) (.f64 (fma.f64 b b (.f64 a a)) (.f64 (-.f64 a b) (+.f64 b a)))) (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 (.f64 a a) a) (/.f64 (.f64 (.f64 a a) a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (.f64 b b) (.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 (.f64 (.f64 a a) a) a) (/.f64 (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 (.f64 (.f64 a a) a) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(fma.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(fma.f64 (.f64 b b) #s(literal -1 binary64) (.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 (.f64 a a) (/.f64 (.f64 (.f64 (.f64 a a) a) a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (*.f64 b b) b) b)))))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (neg.f64 b) b))
(fma.f64 a (/.f64 (.f64 (.f64 a a) a) (fma.f64 b b (.f64 a a))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (*.f64 a a))))))
(fma.f64 a (/.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a (+.f64 b a) (*.f64 (neg.f64 b) (+.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a)))) (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 b a) (-.f64 b a)))) #s(literal -1 binary64)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 a (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a)))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 a (fma.f64 b b (.f64 a a)))) (neg.f64 (.f64 (.f64 (.f64 b b) b) (/.f64 b (fma.f64 b b (.f64 a a))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (.f64 (.f64 (.f64 b b) b) b)))))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) (/.f64 #s(literal 1 binary64) a))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (neg.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))) (sqrt.f64 (.f64 (neg.f64 a) a)))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 b b) a) a))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 a a) (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))

eval88.0ms (1.9%)

Memory: -9.5MiB live, 110.0MiB allocated
Compiler: Compiled 13 942 to 1 678 computations (88% saved)

prune74.0ms (1.6%)

Memory

20.9MiB live, 103.9MiB 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
▶	75.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	76.1%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	75.4%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
▶	97.3%	(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)

simplify192.0ms (4.1%)

Memory

-15.0MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

20 280×	`lower-fma.f32`
20 276×	`lower-fma.f64`
4 530×	`lower-*.f32`
4 524×	`lower-*.f64`
2 000×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	218
0	56	214
1	112	208
2	228	202
3	422	202
4	872	202
5	3098	202
0	8934	202

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

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

localize108.0ms (2.3%)

Memory

16.6MiB live, 182.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
accuracy	0.170253759768442	(.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))
accuracy	15.388211976269012	(/.f64 (-.f64 a b) (*.f64 a a))
accuracy	0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.01953125	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	15.144602087590135	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	15.478884703607832	(/.f64 b (*.f64 a a))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.7500881429629158	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
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	0.00390625	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

79.0ms

256×

valid

Compiler

Compiled 220 to 33 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.7% of total)

ival-div: 8.0ms (19.5% of total)

ival-sqrt: 8.0ms (19.5% of total)

ival-fabs: 5.0ms (12.2% of total)

ival-add: 3.0ms (7.3% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.9%)

Memory

2.6MiB live, 80.2MiB allocated

Counts

20 → 480

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (neg (/ b a)))
5.0ms	b	@	inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (neg (/ b a)))
4.0ms	a	@	inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (neg (/ b a)))
4.0ms	b	@	0	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (neg (/ b a)))
4.0ms	b	@	-inf	((+ (* (/ b a) (neg (/ b a))) 1) (fabs (+ (* (/ b a) (neg (/ b a))) 1)) (sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1))) (/ b a) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (fabs (+ (* (/ b (* a a)) b) -1))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (* (/ (- a b) (* a a)) (+ b a)) (fabs (* (/ (- a b) (* a a)) (+ b a))) (sqrt (fabs (* (/ (- a b) (* a a)) (+ b a)))) (/ (- a b) (* a a)) (neg (/ b a)))

simplify154.0ms (3.3%)

Memory

-23.4MiB live, 214.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 492×	`lower-fma.f64`
13 492×	`lower-fma.f32`
3 114×	`lower-*.f64`
3 114×	`lower-*.f32`
1 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	4225
1	359	4083
2	996	4023
3	4950	4023
0	8457	3809

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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

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

rewrite239.0ms (5.1%)

Memory

-6.7MiB live, 388.8MiB allocated

Rules

5 464×	`lower-/.f32`
5 456×	`lower-/.f64`
4 292×	`lower-*.f32`
4 286×	`lower-*.f64`
2 910×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	189
0	56	185
1	213	156
2	1618	156
0	8298	156

Stop Event

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

Counts

20 → 1 631

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

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

eval384.0ms (8.3%)

Memory: 23.0MiB live, 572.9MiB allocated
Compiler: Compiled 51 469 to 4 697 computations (90.9% saved)

prune168.0ms (3.6%)

Memory

21.0MiB live, 337.5MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	2 155	1	2 156
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	2 156	5	2 161

Accuracy

100.0%

Counts

2 161 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
✓	76.1%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	75.4%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify170.0ms (3.7%)

Memory

-10.1MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
cost-diff	384	(/.f64 (/.f64 b a) a)

Rules

14 320×	`lower-fma.f32`
14 318×	`lower-fma.f64`
2 294×	`lower--.f64`
2 294×	`lower--.f32`
2 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
0	14	38
1	20	38
2	26	38
3	30	38
4	39	38
5	57	38
6	96	38
7	191	38
8	426	38
9	957	38
10	3177	38
11	5419	38
12	7608	38
0	8053	38

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (1%)

Memory

-3.3MiB live, 35.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.00390625	(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.2734375	(/.f64 (/.f64 b a) a)

Samples

40.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

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

ival-div: 3.0ms (32.3% of total)

ival-sqrt: 2.0ms (21.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

simplify157.0ms (3.4%)

Memory

5.5MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 134×	`lower-fma.f64`
8 134×	`lower-fma.f32`
3 620×	`lower-*.f64`
3 620×	`lower-*.f32`
1 970×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	810
1	33	810
2	73	810
3	165	810
4	395	810
5	945	810
6	2665	810
7	5722	810
0	8165	744

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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)
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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))
(/ (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))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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))
(/ (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))))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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))
(/ (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))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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)
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (pow a 2))
(/ b (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)))
(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)

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

rewrite133.0ms (2.9%)

Memory

-6.9MiB live, 192.6MiB allocated

Rules

3 284×	`lower-/.f32`
3 280×	`lower-/.f64`
3 044×	`lower-fma.f32`
3 042×	`lower-fma.f64`
3 004×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	14	32
1	50	32
2	309	29
3	4080	29
0	8374	29

Stop Event

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

Counts

4 → 234

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (/.f64 b a))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)) (neg.f64 b))
(.f64 (pow.f64 (.f64 (/.f64 a b) a) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) a) a))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) b)
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
(.f64 #s(literal 1 binary64) (/.f64 b (.f64 a a)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 b) (/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 a)))
(.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) a)))
(*.f64 (neg.f64 b) (/.f64 (/.f64 #s(literal -1 binary64) a) a))
(.f64 #s(literal -1 binary64) (/.f64 b (.f64 (neg.f64 a) a)))
(.f64 (/.f64 b (.f64 a a)) #s(literal 1 binary64))
(*.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a))
(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (/.f64 a b) a) (*.f64 (/.f64 a b) a)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 a b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64))) (neg.f64 a))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) #s(literal -1 binary64))) (.f64 (neg.f64 a) a))
(/.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal -1 binary64)) a)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 (neg.f64 a) b))
(/.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (.f64 (neg.f64 b) #s(literal -1 binary64)) (.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 a) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 a) b) a))
(/.f64 (/.f64 b a) a)
(/.f64 b (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) a)) (/.f64 b (.f64 (neg.f64 a) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (*.f64 (neg.f64 a) a)))
(-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 (neg.f64 a) a)))
(exp.f64 (log.f64 (/.f64 b (*.f64 a a))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
(pow.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (.f64 (/.f64 b (.f64 (neg.f64 a) a)) b) (neg.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (.f64 (/.f64 b (.f64 (neg.f64 a) a)) b) (neg.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))) (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))) (fabs.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (pow.f64 (/.f64 a b) #s(literal -12 binary64))))) (fabs.f64 (fma.f64 (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))) (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (*.f64 a a))))))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))) (fabs.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (pow.f64 (/.f64 a b) #s(literal -12 binary64))))) (fabs.f64 (fma.f64 (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))) (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (*.f64 a a))))))))
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #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) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (*.f64 a a))) b) b #s(literal -1 binary64))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (*.f64 b b) b) #s(literal 1 binary64))))
(.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (fabs.f64 (/.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (neg.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))))
(.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (fabs.f64 (/.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))
(.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))) (fabs.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))))
(.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 a a)) b)))))
(.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))))
(.f64 (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))))
(.f64 (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))))) (fabs.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64))))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (.f64 b b) b) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))) (fabs.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (*.f64 a a))) b) b #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal -12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))) (fabs.f64 (fma.f64 (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))) (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (*.f64 a a))) b) b #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal -12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 b (.f64 a a)) b) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) #s(literal 1 binary64))))) (fabs.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a))) (.f64 (*.f64 b b) b) #s(literal 1 binary64))))
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(/.f64 (fabs.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (.f64 (.f64 a a) (.f64 a a))) b) b #s(literal -1 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
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(expm1.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 a b))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 a b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 a a)) b))) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 a a)) b))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) b) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) a)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(-.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) b) (.f64 (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)) a)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (.f64 a a)) b #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 b (.f64 a a)) b))

eval92.0ms (2%)

Memory: -24.3MiB live, 96.2MiB allocated
Compiler: Compiled 8 765 to 948 computations (89.2% saved)

prune31.0ms (0.7%)

Memory

34.2MiB live, 73.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	330	5	335

Accuracy

100.0%

Counts

335 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.7%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
✓	76.1%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	75.4%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (-.f64 a b) (.f64 a a)) (+.f64 b a))))
✓	97.3%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 132 to 73 computations (44.7% saved)

regimes22.0ms (0.5%)

Memory

-11.0MiB live, 32.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes15.0ms (0.3%)

Memory

-11.1MiB live, 28.5MiB allocated

Accuracy

Total -14.8b remaining (-868.4%)

Threshold costs -14.8b (-868.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
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))))

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	19	25

Stop Event

1×

saturated

Calls

Call 1

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

soundness399.0ms (8.6%)

Memory

-28.2MiB live, 292.5MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
5 464×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	189
0	56	185
1	213	156
2	1618	156
0	8298	156
0	25	954
1	55	840
2	165	840
3	712	840
4	3843	840
0	8014	792
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31

Stop Event

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

Compiler

Compiled 68 to 42 computations (38.2% saved)

preprocess26.0ms (0.6%)

Memory

12.9MiB live, 52.1MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 110 to 70 computations (36.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (0.3%)

sample1.3s (27.9%)

explain110.0ms (2.4%)

preprocess174.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify118.0ms (2.6%)

localize26.0ms (0.6%)

series7.0ms (0.2%)

simplify167.0ms (3.6%)

rewrite177.0ms (3.8%)

eval88.0ms (1.9%)

prune74.0ms (1.6%)

simplify192.0ms (4.1%)

localize108.0ms (2.3%)

series40.0ms (0.9%)

simplify154.0ms (3.3%)

rewrite239.0ms (5.1%)

eval384.0ms (8.3%)

prune168.0ms (3.6%)

simplify170.0ms (3.7%)

localize46.0ms (1%)

series7.0ms (0.1%)

simplify157.0ms (3.4%)

rewrite133.0ms (2.9%)

eval92.0ms (2%)

prune31.0ms (0.7%)

regimes22.0ms (0.5%)

regimes15.0ms (0.3%)

simplify5.0ms (0.1%)

soundness399.0ms (8.6%)

preprocess26.0ms (0.6%)

end0.0ms (0%)

Profiling