Metrics for Eccentricity of an ellipse

analyze12.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB 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)

sample1.2s (16.6%)

Memory

41.4MiB live, 577.3MiB allocated

Samples

722.0ms	8 256×	0	valid
52.0ms	793×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 510.0ms

ival-mult: 161.0ms (31.6% of total)

ival-<=: 82.0ms (16.1% of total)

ival-sub: 81.0ms (15.9% of total)

ival-sqrt: 64.0ms (12.6% of total)

ival-div: 53.0ms (10.4% of total)

ival-fabs: 38.0ms (7.5% of total)

ival-and: 17.0ms (3.3% of total)

exact: 10.0ms (2% of total)

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

Bogosity

preprocess584.0ms (8.2%)

Memory

-9.8MiB live, 269.9MiB 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)

explain188.0ms (2.6%)

Memory

-40.1MiB live, 133.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
60	-	-	`(/.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	60	0
↳	`(*.f64 b b)`	underflow	190
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	60
↳	`(*.f64 a a)`	underflow	60
↳	`(*.f64 a a)`	underflow	60

Confusion

	Predicted +	Predicted -
+	60	0
-	0	196

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

108.0ms

512×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

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

ival-mult: 6.0ms (34.6% of total)

ival-div: 3.0ms (17.3% of total)

ival-sqrt: 3.0ms (17.3% of total)

ival-sub: 2.0ms (11.5% of total)

ival-fabs: 2.0ms (11.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify318.0ms (4.5%)

Memory

4.1MiB live, 317.7MiB 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

12.4MiB live, 51.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (32% of total)

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

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

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

ival-sub: 1.0ms (10.7% of total)

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

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

series5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB 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))
0.0ms	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))))

simplify448.0ms (6.3%)

Memory

-21.1MiB live, 503.6MiB 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))))

rewrite268.0ms (3.8%)

Memory

16.1MiB live, 376.5MiB 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))

eval94.0ms (1.3%)

Memory: -7.1MiB live, 106.9MiB allocated
Compiler: Compiled 13 840 to 1 666 computations (88% saved)

prune71.0ms (1%)

Memory

21.0MiB live, 104.2MiB 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
▶	76.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
▶	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
▶	97.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 116 to 76 computations (34.5% saved)

simplify235.0ms (3.3%)

Memory

-10.1MiB live, 268.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	cost-diff	0	(*.f64 (+.f64 a b) (-.f64 a b))
✓	cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	cost-diff	0	(/.f64 b (*.f64 a a))
✓	cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	cost-diff	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 a b) a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
✓	cost-diff	128	(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
✓	cost-diff	960	(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))

Rules

7 104×	`lower-fma.f32`
7 100×	`lower-fma.f64`
3 678×	`lower-*.f32`
3 674×	`lower-*.f64`
2 100×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	218
0	57	230
1	98	208
2	197	208
3	366	202
4	701	202
5	1717	202
6	5698	202
0	8287	202

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.9%)

Memory

-4.5MiB live, 158.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 (+.f64 a b) (-.f64 a b))
✓	accuracy	100.0%	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	accuracy	77.5%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	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	77.0%	(/.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	97.7%	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
✓	accuracy	100.0%	(/.f64 a (-.f64 a b))
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))

Samples

71.0ms

256×

valid

Compiler

Compiled 220 to 34 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (29.4% of total)

ival-mult: 7.0ms (18.7% of total)

ival-sqrt: 7.0ms (18.7% of total)

ival-fabs: 5.0ms (13.4% of total)

ival-add: 4.0ms (10.7% of total)

ival-sub: 2.0ms (5.3% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

4.3MiB live, 42.9MiB allocated

Counts

22 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
3.0ms	b	@	0	(+ (* (/ b a) (neg (/ b a))) 1)
1.0ms	a	@	-inf	(/ (+ a b) a)
1.0ms	a	@	0	(/ (/ (+ a b) a) (/ a (- a b)))
1.0ms	a	@	inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)

simplify364.0ms (5.1%)

Memory

23.3MiB live, 577.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 024×	`lower-fma.f64`
14 024×	`lower-fma.f32`
3 908×	`lower-*.f64`
3 908×	`lower-*.f32`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	5214
1	594	4329
2	1633	4283
3	7468	4279
0	8198	4050

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

rewrite399.0ms (5.6%)

Memory

3.6MiB live, 561.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 292×	`lower-/.f32`
5 280×	`lower-/.f64`
3 636×	`lower-*.f32`
3 632×	`lower-*.f64`
3 380×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	195
0	57	207
1	208	162
2	1522	162
0	8260	162

Stop Event

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

Counts

22 → 1 276

Calls

Call 1

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

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

eval292.0ms (4.1%)

Memory: 9.7MiB live, 476.1MiB allocated
Compiler: Compiled 38 509 to 3 575 computations (90.7% saved)

prune182.0ms (2.5%)

Memory

-31.9MiB live, 264.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 837	2	1 839
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 839	5	1 844

Accuracy

100.0%

Counts

1 844 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	99.7%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
✓	97.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 59 to 39 computations (33.9% saved)

simplify249.0ms (3.5%)

Memory

-9.4MiB live, 347.1MiB 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	(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
✓	cost-diff	128	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))))
✓	cost-diff	192	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))

Rules

7 634×	`lower-fma.f32`
7 632×	`lower-fma.f64`
2 366×	`lower-*.f32`
2 362×	`lower-*.f64`
1 770×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	101
0	29	111
1	55	101
2	136	101
3	435	89
4	1354	89
5	4154	85
6	7470	85
0	8056	85

Stop Event

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

Calls

Call 1

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

localize52.0ms (0.7%)

Memory

35.6MiB live, 114.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
✓	accuracy	100.0%	(*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))
✓	accuracy	99.9%	(/.f64 (-.f64 a b) a)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))

Samples

29.0ms

256×

valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

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

ival-div: 5.0ms (27.7% of total)

ival-mult: 4.0ms (22.1% of total)

ival-sqrt: 3.0ms (16.6% of total)

ival-add: 2.0ms (11.1% of total)

ival-fabs: 2.0ms (11.1% of total)

ival-sub: 1.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-28.1MiB live, 12.4MiB allocated

Counts

9 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
6.0ms	a	@	0	(* (+ a b) (/ (- a b) a))
0.0ms	b	@	0	(* (+ a b) (/ (- a b) a))
0.0ms	b	@	inf	(* (+ a b) (/ (- a b) a))
0.0ms	a	@	0	(/ (- a b) a)
0.0ms	a	@	inf	(/ (- a b) a)

simplify361.0ms (5.1%)

Memory

10.0MiB live, 486.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 456×	`lower-fma.f64`
11 456×	`lower-fma.f32`
2 570×	`lower-*.f64`
2 570×	`lower-*.f32`
2 308×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	2083
1	251	1989
2	756	1955
3	3326	1733
0	8757	1619

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

rewrite471.0ms (6.6%)

Memory

-9.2MiB live, 624.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 232×	`lower-fma.f32`
7 230×	`lower-fma.f64`
4 864×	`lower-*.f32`
4 860×	`lower-*.f64`
3 850×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	86
0	29	95
1	110	85
2	893	65
0	8796	65

Stop Event

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

Counts

9 → 1 730

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 b b) (.f64 a a))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) a) (.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) b))
(+.f64 (.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) b) (.f64 (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) a))
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (/.f64 b a)) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (.f64 a (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (.f64 b (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a)))))
(+.f64 (.f64 b (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (.f64 a (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a)))))
(+.f64 (*.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a)))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))
(-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a a))) (fma.f64 (neg.f64 b) (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (/.f64 #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 #s(literal 1 binary64) (/.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(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 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 a (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) (.f64 b (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 a b) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b (neg.f64 b)) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) #s(literal 1 binary64)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 a b) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 a b) #s(literal 1 binary64)) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 b (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (.f64 a a))) (.f64 a (.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 a a)))))
(fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 b (.f64 (/.f64 b (.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 a b)) (.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1 binary64)) (.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a)) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 b a) (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a))) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 b a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)) (/.f64 a (-.f64 b a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
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(fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 a a))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))
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(fma.f64 (-.f64 b a) (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (-.f64 b a) (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (-.f64 b a) (/.f64 #s(literal -1 binary64) a) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 b a) (/.f64 #s(literal -1 binary64) a) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (-.f64 b a) (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a a (.f64 b (-.f64 b a))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a a (.f64 b (-.f64 b a))))) (.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b (-.f64 b a)))) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 a (+.f64 a b) (.f64 b b)))) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 a b))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 a b))) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 a b))) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b (neg.f64 a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64) (*.f64 (/.f64 b (neg.f64 a)) (+.f64 #s(literal 1 binary64) (/.f64 b a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (-.f64 a b) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (-.f64 a b) (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 (-.f64 a b) (+.f64 a b)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
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(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
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(fma.f64 (.f64 a (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
(fma.f64 (.f64 a (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) b) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 a (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 a (-.f64 a b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
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(fma.f64 (.f64 a (-.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 a))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a)))
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(fma.f64 (.f64 a (-.f64 b a)) (/.f64 #s(literal 1 binary64) (.f64 a (neg.f64 a))) (*.f64 (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
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eval399.0ms (5.6%)

Memory: 47.9MiB live, 592.3MiB allocated
Compiler: Compiled 53 914 to 6 689 computations (87.6% saved)

prune277.0ms (3.9%)

Memory

-47.5MiB live, 447.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	2 004	0	2 004
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	2 004	5	2 009

Accuracy

100.0%

Counts

2 009 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	77.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	99.7%	(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
✓	97.8%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 147 to 80 computations (45.6% saved)

regimes19.0ms (0.3%)

Memory

35.5MiB live, 35.5MiB 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))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))))
(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.2%)

Memory

-15.4MiB live, 24.1MiB allocated

Accuracy

Total -14.2b remaining (-1002%)

Threshold costs -14.2b (-1002%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`b`
97.8%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.8%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.8%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.8%	1	`(*.f64 a a)`
97.8%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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))))

soundness421.0ms (5.9%)

Memory

2.3MiB live, 195.5MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
5 292×	`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	32	195
0	57	207
1	208	162
2	1522	162
0	8260	162
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31

Stop Event

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

Compiler

Compiled 67 to 40 computations (40.3% saved)

preprocess27.0ms (0.4%)

Memory

-7.6MiB live, 70.1MiB 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

analyze12.0ms (0.2%)

sample1.2s (16.6%)

preprocess584.0ms (8.2%)

explain188.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify318.0ms (4.5%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

simplify448.0ms (6.3%)

rewrite268.0ms (3.8%)

eval94.0ms (1.3%)

prune71.0ms (1%)

simplify235.0ms (3.3%)

localize137.0ms (1.9%)

series31.0ms (0.4%)

simplify364.0ms (5.1%)

rewrite399.0ms (5.6%)

eval292.0ms (4.1%)

prune182.0ms (2.5%)

simplify249.0ms (3.5%)

localize52.0ms (0.7%)

series11.0ms (0.1%)

simplify361.0ms (5.1%)

rewrite471.0ms (6.6%)

eval399.0ms (5.6%)

prune277.0ms (3.9%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

simplify6.0ms (0.1%)

soundness421.0ms (5.9%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling