Metrics for Eccentricity of an ellipse

analyze13.0ms (0.2%)

Memory

-17.4MiB live, 21.2MiB 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)

sample1.5s (24%)

Memory

36.7MiB live, 1 178.3MiB allocated

Samples

981.0ms	8 256×	0	valid
50.0ms	743×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-mult: 288.0ms (40.3% of total)

ival-<=: 156.0ms (21.9% of total)

ival-div: 101.0ms (14.2% of total)

ival-sqrt: 58.0ms (8.1% of total)

ival-fabs: 40.0ms (5.6% of total)

ival-sub: 40.0ms (5.6% of total)

ival-and: 16.0ms (2.2% of total)

exact: 11.0ms (1.5% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess374.0ms (6%)

Memory

-26.7MiB live, 458.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs b)

(abs a)

explain109.0ms (1.8%)

Memory

1.6MiB live, 201.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
45	-	-	`(/.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	45	0
↳	`(*.f64 b b)`	underflow	185
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	45
↳	`(*.f64 a a)`	underflow	45
↳	`(*.f64 a a)`	underflow	45

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	0	211

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	211
1	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

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

ival-mult: 8.0ms (41.4% of total)

ival-div: 3.0ms (15.5% of total)

ival-sqrt: 3.0ms (15.5% of total)

ival-sub: 2.0ms (10.3% of total)

ival-fabs: 2.0ms (10.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify287.0ms (4.6%)

Memory

10.3MiB live, 407.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

4.6MiB live, 43.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
✓	accuracy	100.0%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	accuracy	82.9%	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (34.4% of total)

ival-div: 2.0ms (22.9% of total)

ival-sqrt: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

ival-fabs: 1.0ms (11.5% of total)

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

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

series5.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))>
#<alt (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))>
#<alt (-.f64 (.f64 a a) (.f64 b b))>
#<alt (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))>

Outputs
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>

Calls

24 calls:

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

simplify444.0ms (7.2%)

Memory

-1.2MiB live, 483.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite304.0ms (4.9%)

Memory

-7.2MiB live, 390.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 391

Calls

Call 1

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

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

eval76.0ms (1.2%)

Memory: 17.7MiB live, 93.9MiB allocated
Compiler: Compiled 13 840 to 1 666 computations (88% saved)

prune98.0ms (1.6%)

Memory

-27.5MiB live, 103.0MiB 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
▶	82.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	83.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	99.9%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
▶	96.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 124 to 84 computations (32.3% saved)

simplify300.0ms (4.8%)

Memory

4.1MiB live, 360.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))
✓	cost-diff	0	(fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
✓	cost-diff	0	(/.f64 (+.f64 a b) a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
✓	cost-diff	128	(fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
✓	cost-diff	576	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
✓	cost-diff	0	(/.f64 b (*.f64 a a))
✓	cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	cost-diff	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓	cost-diff	128	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))

Rules

12 424×	`lower-fma.f32`
12 420×	`lower-fma.f64`
4 308×	`lower-*.f32`
4 302×	`lower-*.f64`
1 686×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	246
0	60	242
1	108	236
2	234	236
3	510	230
4	1231	230
5	4394	230
0	8257	230

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.7%)

Memory

16.3MiB live, 135.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
✓	accuracy	83.0%	(/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)
✓	accuracy	99.9%	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	accuracy	81.7%	(/.f64 b (*.f64 a a))
✓	accuracy	100.0%	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	accuracy	96.6%	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 248 to 35 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 10.0ms (25% of total)

ival-sqrt: 9.0ms (22.5% of total)

ival-mult: 8.0ms (20% of total)

ival-fabs: 5.0ms (12.5% of total)

ival-add: 3.0ms (7.5% of total)

ival-sub: 3.0ms (7.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory

7.4MiB live, 46.2MiB allocated

Counts

21 → 492

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (- 1 (/ (pow b 2) (pow a 2))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (/ b (pow a 2))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (/ b a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))))>
#<alt (sqrt (/ 1 (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))))>
#<alt (sqrt (/ 1 (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))))>
#<alt (sqrt (/ 1 (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a b) (- a b))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (sqrt (/ 1 (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (sqrt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (sqrt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (sqrt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a)))))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a b) (- a b)))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (sqrt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b))))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (fabs (* -1 (/ (pow a 2) (* (+ b (* -1 a)) (- b (* -1 a))))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a b) (- a b))))>
#<alt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (fabs (/ (pow a 2) (* (+ a (* -1 b)) (- a (* -1 b)))))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt (* (pow a 2) (- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ b (* -1 b)) a)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ b (* -1 b)) a)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a)))>
#<alt 1>
#<alt (+ 1 (/ (pow b 2) (pow a 2)))>
#<alt (+ 1 (* (pow b 2) (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))))>
#<alt (+ 1 (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (/ (* (pow a 2) (+ a (* -1 a))) b)) (* -1 (pow a 2))) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* (pow a 2) (pow (+ a (* -1 a)) 2)) (pow a 4)) (pow b 2))) (* -1 (pow a 2))) (/ (* (pow a 2) (+ a (* -1 a))) b)) (pow b 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* (+ a (* -1 a)) (+ (* (pow a 2) (pow (+ a (* -1 a)) 2)) (pow a 4))) (* (pow a 4) (+ a (* -1 a)))) (pow b 3))) (* -1 (pow a 2))) (+ (/ (* (pow a 2) (+ a (* -1 a))) b) (+ (/ (* (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2)) (/ (pow a 4) (pow b 2))))) (pow b 2))>
#<alt (* -1 (/ (pow a 2) (pow b 2)))>
#<alt (/ (+ (* -1 (pow a 2)) (/ (* (pow a 2) (+ a (* -1 a))) b)) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (+ (/ (* (pow a 2) (pow (+ a (* -1 a)) 2)) b) (/ (pow a 4) b)) (* (pow a 2) (+ a (* -1 a)))) b)) (* -1 (pow a 2))) (pow b 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (* (pow a 2) (pow (+ a (* -1 a)) 2)) (pow a 4))) b) (/ (* (pow a 4) (+ a (* -1 a))) b)) (+ (* (pow a 2) (pow (+ a (* -1 a)) 2)) (pow a 4))) b)) (* (pow a 2) (+ a (* -1 a)))) b)) (* -1 (pow a 2))) (pow b 2))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>

Calls

123 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
3.0ms	a	@	0	(/ 1 (sqrt (fabs (/ (* a a) (* (+ a b) (- a b))))))
1.0ms	b	@	0	(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms	a	@	-inf	(/ 1 (sqrt (fabs (/ (* a a) (* (+ a b) (- a b))))))
1.0ms	b	@	0	(+ (* (/ b a) (neg (/ b a))) 1)

simplify219.0ms (3.5%)

Memory

-9.0MiB live, 270.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 320×	`lower-fma.f64`
7 320×	`lower-fma.f32`
3 412×	`lower-*.f64`
3 412×	`lower-*.f32`
1 242×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	4679
1	661	4549
2	2494	4513
0	8054	4335

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

rewrite340.0ms (5.5%)

Memory

-20.9MiB live, 377.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 992×	`lower-/.f32`
4 982×	`lower-/.f64`
3 890×	`lower-*.f32`
3 884×	`lower-*.f64`
3 424×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	60	208
1	224	176
2	1672	176
0	8797	176

Stop Event

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

Counts

21 → 776

Calls

Call 1

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

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

eval262.0ms (4.2%)

Memory: 34.5MiB live, 299.2MiB allocated
Compiler: Compiled 24 919 to 3 119 computations (87.5% saved)

prune142.0ms (2.3%)

Memory

-0.2MiB live, 204.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 393	2	1 395
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 396	4	1 400

Accuracy

100.0%

Counts

1 400 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	83.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
✓	96.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify319.0ms (5.1%)

Memory

-9.8MiB live, 392.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

13 104×	`lower-fma.f32`
13 102×	`lower-fma.f64`
2 440×	`lower-*.f32`
2 438×	`lower-*.f64`
2 142×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	114
0	26	114
1	44	114
2	68	114
3	115	114
4	235	114
5	421	114
6	877	114
7	1688	114
8	3904	114
9	5989	114
10	7167	114
11	7830	114
0	8003	114

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (0.8%)

Memory

-0.7MiB live, 79.0MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

28.0ms

256×

valid

Compiler

Compiled 95 to 18 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 4.0ms (23.9% of total)

ival-div: 3.0ms (18% of total)

ival-mult: 3.0ms (18% of total)

ival-sqrt: 3.0ms (18% of total)

ival-fabs: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

8 → 192

Calls

Call 1

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

Outputs
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ a b) (- 1 (/ b a))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (sqrt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a)))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (- 1 (/ b a)) (- b (* -1 a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ a b) (- 1 (/ b a))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (fabs (/ (* (+ 1 (* -1 (/ b a))) (- a (* -1 b))) a))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ b a)) (/ b a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1 (/ (pow b 2) (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* -1 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))>
#<alt (/ b a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))>
#<alt (/ (pow b 2) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt -1>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (- (/ (pow b 2) (pow a 2)) 1)>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (sqrt (fabs (- (/ (pow b 2) (pow a 2)) 1)))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (fabs (- (/ (pow b 2) (pow a 2)) 1))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>

Calls

48 calls:

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

simplify324.0ms (5.2%)

Memory

-14.2MiB live, 422.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 100×	`lower-fma.f64`
14 100×	`lower-fma.f32`
2 498×	`lower-*.f64`
2 498×	`lower-*.f32`
1 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1837
1	181	1792
2	441	1762
3	1450	1540
4	5362	1540
0	8122	1426

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

rewrite265.0ms (4.3%)

Memory

7.4MiB live, 280.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 294×	`lower-fma.f32`
4 292×	`lower-fma.f64`
3 334×	`lower-/.f32`
3 332×	`lower-/.f64`
3 294×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	95
0	26	92
1	106	92
2	744	92
0	9217	92

Stop Event

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

Counts

8 → 207

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (fabs.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(pow.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(.f64 (pow.f64 (fabs.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 0 binary64)))
(/.f64 (fabs.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))) (fabs.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (neg.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) (fabs.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (neg.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(.f64 #s(literal 1 binary64) (fabs.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (fabs.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) (fabs.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(+.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))))
(+.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64) (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))))
(fma.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1 binary64) (*.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(neg.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))))
(/.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (neg.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) (neg.f64 (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 (.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a)))) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 (.f64 (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))))
(/.f64 (-.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a))))) (-.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 b (neg.f64 a)))))
(/.f64 (-.f64 (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))) (-.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (*.f64 (/.f64 b (neg.f64 a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (neg.f64 (neg.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))))))
(.f64 #s(literal -1 binary64) (.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (+.f64 (/.f64 b a) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (neg.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (neg.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (+.f64 (/.f64 b a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(.f64 (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))) (/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b a) (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))) (/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 b a) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(exp.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))))) (sqrt.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(fabs.f64 (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))) (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (*.f64 a a)))))))
(/.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a)))))))
(/.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b b)) (.f64 (.f64 b b) #s(literal -1 binary64))) (*.f64 a a)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b (/.f64 b (.f64 a a))) (.f64 b b)) (.f64 (.f64 b b) #s(literal -1 binary64))) (*.f64 a a)))))
(/.f64 (fabs.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a)))) (+.f64 (/.f64 b a) #s(literal -1 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a))))))) (neg.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a)))))) (neg.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))))
(.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (*.f64 a a))))))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a)))
(neg.f64 (/.f64 b (neg.f64 a)))
(/.f64 b a)
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 (neg.f64 b) (neg.f64 a))
(pow.f64 (/.f64 b a) #s(literal 1 binary64))
(pow.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) a))
(*.f64 b (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal 1 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))
(*.f64 (neg.f64 b) (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b a) #s(literal 1/2 binary64)))

eval70.0ms (1.1%)

Memory: 30.0MiB live, 109.0MiB allocated
Compiler: Compiled 9 193 to 1 098 computations (88.1% saved)

prune57.0ms (0.9%)

Memory

-5.0MiB live, 73.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	549	0	549
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	549	4	553

Accuracy

100.0%

Counts

553 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	83.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 #s(approx (/ (+ a b) a) (+.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
✓	96.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 134 to 69 computations (48.5% saved)

regimes22.0ms (0.3%)

Memory

-8.1MiB live, 31.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
3.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
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)

regimes9.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total -9.6b remaining (-464.9%)

Threshold costs -9.6b (-464.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`a`
96.8%	1	`b`
96.8%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
96.8%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
96.8%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
96.8%	1	`(*.f64 a a)`
96.8%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify10.0ms (0.2%)

Memory

-40.8MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	18	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness412.0ms (6.6%)

Memory

27.3MiB live, 179.3MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
4 992×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31
0	33	206
0	60	208
1	224	176
2	1672	176
0	8797	176

Stop Event

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

Compiler

Compiled 67 to 40 computations (40.3% saved)

preprocess28.0ms (0.4%)

Memory

6.0MiB live, 43.6MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 108 to 64 computations (40.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

sample1.5s (24%)

preprocess374.0ms (6%)

explain109.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify287.0ms (4.6%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

simplify444.0ms (7.2%)

rewrite304.0ms (4.9%)

eval76.0ms (1.2%)

prune98.0ms (1.6%)

simplify300.0ms (4.8%)

localize107.0ms (1.7%)

series38.0ms (0.6%)

simplify219.0ms (3.5%)

rewrite340.0ms (5.5%)

eval262.0ms (4.2%)

prune142.0ms (2.3%)

simplify319.0ms (5.1%)

localize47.0ms (0.8%)

series3.0ms (0.1%)

simplify324.0ms (5.2%)

rewrite265.0ms (4.3%)

eval70.0ms (1.1%)

prune57.0ms (0.9%)

regimes22.0ms (0.3%)

regimes9.0ms (0.2%)

simplify10.0ms (0.2%)

soundness412.0ms (6.6%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling