Metrics for Eccentricity of an ellipse

analyze18.0ms (0.3%)

Memory

-24.8MiB live, 18.7MiB 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 (18.5%)

Memory

61.1MiB live, 1 429.8MiB allocated

Samples

728.0ms	8 256×	0	valid
71.0ms	758×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-mult: 141.0ms (26.8% of total)

ival-div: 109.0ms (20.7% of total)

ival-sqrt: 76.0ms (14.5% of total)

ival-<=: 67.0ms (12.7% of total)

ival-fabs: 59.0ms (11.2% of total)

ival-sub: 45.0ms (8.6% of total)

ival-and: 16.0ms (3% of total)

exact: 10.0ms (1.9% of total)

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

Bogosity

preprocess307.0ms (4.9%)

Memory

-22.5MiB live, 314.5MiB 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)

explain112.0ms (1.8%)

Memory

-12.1MiB live, 109.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	1	(1.5406590448692566e-156 1.8032160017754683e-158)	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	0	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	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	61	0
↳	`(*.f64 b b)`	underflow	182
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	61
↳	`(*.f64 a a)`	underflow	61
↳	`(*.f64 a a)`	underflow	61

Confusion

	Predicted +	Predicted -
+	61	1
-	0	194

Precision

1.0

Recall

0.9838709677419355

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	1
-	0	0	194

Precision?

1.0

Recall?

0.9838709677419355

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

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

ival-mult: 6.0ms (32.4% of total)

ival-sub: 3.0ms (16.2% of total)

ival-div: 3.0ms (16.2% of total)

ival-sqrt: 3.0ms (16.2% of total)

ival-fabs: 2.0ms (10.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB 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
▶	76.1%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify262.0ms (4.2%)

Memory

21.4MiB live, 295.1MiB 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

localize35.0ms (0.6%)

Memory

-12.5MiB live, 26.7MiB 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%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	accuracy	100.0%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	76.8%	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

25.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 13.0ms (71.1% of total)

ival-div: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

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

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

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

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

series5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.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))))>
#<alt (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 (* -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))))>
#<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)))>

Calls

24 calls:

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

rewrite277.0ms (4.4%)

Memory

5.7MiB live, 243.5MiB 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))
(-.f64 (.f64 a a) (.f64 b b))
(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)))

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

simplify388.0ms (6.2%)

Memory

3.6MiB live, 352.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	710	840
4	3821	840
0	8043	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))))
(* -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))))
(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)))

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

eval64.0ms (1%)

Memory: 16.5MiB live, 91.8MiB allocated
Compiler: Compiled 13 840 to 1 675 computations (87.9% saved)

prune84.0ms (1.3%)

Memory

-37.1MiB live, 89.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	481	6	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	6	488

Accuracy

100.0%

Counts

488 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.8%	(/.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))))
▶	76.9%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
	99.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 #s(literal 1 binary64) a)))))
▶	97.6%	(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))

Compiler

Compiled 150 to 98 computations (34.7% saved)

simplify215.0ms (3.4%)

Memory

15.4MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
✓	cost-diff	128	(fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a))
✓	cost-diff	192	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
✓	cost-diff	0	(*.f64 (+.f64 a b) (-.f64 a b))
✓	cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	cost-diff	0	(/.f64 b (*.f64 a a))
✓	cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	cost-diff	128	(fabs.f64 #s(literal 1 binary64))
✓	cost-diff	640	(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓	cost-diff	128	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))

Rules

8 342×	`lower-fma.f32`
8 338×	`lower-fma.f64`
2 574×	`lower-*.f32`
2 568×	`lower-*.f64`
1 598×	`lower--.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	27	182
0	53	178
1	85	178
2	157	178
3	310	172
4	569	172
5	1083	172
6	2924	170
7	6871	170
0	8071	170

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.4%)

Memory

5.7MiB live, 86.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)))
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)
✓	accuracy	100.0%	(*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))
✓	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	76.4%	(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	75.9%	(/.f64 b (*.f64 a a))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
✓	accuracy	100.0%	(fabs.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))

Samples

49.0ms

256×

valid

Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions

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

ival-div: 8.0ms (23.2% of total)

ival-mult: 7.0ms (20.3% of total)

ival-sqrt: 7.0ms (20.3% of total)

ival-fabs: 5.0ms (14.5% of total)

ival-add: 3.0ms (8.7% of total)

ival-sub: 2.0ms (5.8% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#<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 (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 (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ 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 (/ 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 (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 (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 (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 (* (/ 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 (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 (/ (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 (/ 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 (/ (* (+ 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 (/ (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))))>

Calls

93 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(/ (+ a b) a)
1.0ms	b	@	inf	(sqrt (fabs (+ (* b (/ b (* a a))) -1)))
1.0ms	b	@	inf	(sqrt (fabs (+ (* (/ b a) (neg (/ b a))) 1)))
1.0ms	a	@	-inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
0.0ms	b	@	inf	(/ b (* a a))

rewrite286.0ms (4.6%)

Memory

-4.0MiB live, 225.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 768×	`lower-fma.f32`
3 764×	`lower-fma.f64`
3 728×	`lower-*.f32`
3 722×	`lower-*.f64`
3 680×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	130
0	53	132
1	165	124
2	1168	124
0	8699	124

Stop Event

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

Counts

18 → 674

Calls

Call 1

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

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

simplify359.0ms (5.7%)

Memory

-17.4MiB live, 309.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 546×	`lower-fma.f64`
14 546×	`lower-fma.f32`
3 142×	`lower-*.f64`
3 142×	`lower-*.f32`
2 056×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	3191
1	376	2932
2	1100	2924
3	5584	2866
0	8687	2742

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

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

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

eval140.0ms (2.2%)

Memory: 28.2MiB live, 179.6MiB allocated
Compiler: Compiled 19 947 to 3 111 computations (84.4% saved)

prune86.0ms (1.4%)

Memory

-19.3MiB live, 138.7MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 087	4	1 091
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 091	6	1 097

Accuracy

100.0%

Counts

1 097 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
▶	74.9%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) a)
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))))
✓	76.9%	(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 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)))
▶	97.6%	#s(literal 1 binary64)

Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify260.0ms (4.1%)

Memory

1.9MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) a)
✓	cost-diff	128	(fabs.f64 (*.f64 a a))
✓	cost-diff	832	(sqrt.f64 (fabs.f64 (*.f64 a a)))
✓	cost-diff	0	(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 b a) a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)))
✓	cost-diff	128	(fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a))
✓	cost-diff	192	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a))
✓	cost-diff	384	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)

Rules

12 310×	`lower-fma.f32`
12 308×	`lower-fma.f64`
3 250×	`lower-*.f32`
3 246×	`lower-*.f64`
1 248×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	118
0	35	121
1	60	117
2	109	117
3	208	117
4	584	111
5	1654	101
6	3608	101
7	6081	101
0	8119	101

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.9%)

Memory

17.7MiB live, 56.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 a a))) a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(fabs.f64 (*.f64 a a))
✓	accuracy	76.5%	(sqrt.f64 (fabs.f64 (*.f64 a a)))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))))
✓	accuracy	99.7%	(/.f64 (/.f64 b a) a)
✓	accuracy	100.0%	(fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a))
✓	accuracy	100.0%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)
✓	accuracy	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)))
✓	accuracy	99.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a))

Samples

35.0ms

256×

valid

Compiler

Compiled 123 to 22 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 6.0ms (25.7% of total)

ival-sqrt: 5.0ms (21.4% of total)

ival-mult: 4.0ms (17.1% of total)

ival-fabs: 3.0ms (12.9% of total)

ival-add: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite288.0ms (4.6%)

Memory

-13.7MiB live, 257.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 474×	`lower-fma.f32`
6 472×	`lower-fma.f64`
4 018×	`lower-*.f32`
4 014×	`lower-*.f64`
2 984×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	91
0	35	88
1	130	82
2	899	78
0	8668	78

Stop Event

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

Counts

12 → 502

Calls

Call 1

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

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

simplify265.0ms (4.2%)

Memory

16.1MiB live, 213.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 074×	`lower-fma.f64`
10 074×	`lower-fma.f32`
2 164×	`lower-*.f64`
2 164×	`lower-*.f32`
1 622×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1992
1	224	1890
2	614	1842
3	2569	1650
0	8332	1554

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

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

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

eval114.0ms (1.8%)

Memory: 5.3MiB live, 121.3MiB allocated
Compiler: Compiled 15 099 to 2 226 computations (85.3% saved)

prune84.0ms (1.3%)

Memory

-21.3MiB live, 99.0MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	780	2	782
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	781	7	788

Accuracy

100.0%

Counts

788 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
▶	74.9%	(/.f64 (sqrt.f64 (*.f64 a a)) a)
✓	75.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))))
✓	76.9%	(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 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)))
✓	97.6%	#s(literal 1 binary64)

Compiler

Compiled 72 to 47 computations (34.7% saved)

simplify193.0ms (3.1%)

Memory

24.7MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	704	(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
✓	cost-diff	1600	(*.f64 (sqrt.f64 a) (sqrt.f64 a))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	704	(/.f64 (sqrt.f64 (*.f64 a a)) a)
✓	cost-diff	960	(sqrt.f64 (*.f64 a a))

Rules

4 726×	`lower-*.f32`
4 722×	`lower-*.f64`
2 790×	`lower-/.f32`
2 790×	`lower-/.f64`
2 758×	`cube-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	13	21
1	18	11
2	31	11
3	37	11
4	41	11
5	70	11
6	155	11
7	710	11
8	1440	11
9	2546	11
10	4008	11
11	5351	11
12	5711	11
13	5864	11
14	5958	11
15	5960	11
16	7097	11
17	7989	11
0	8052	11

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 a a)) a)
(sqrt.f64 (*.f64 a a))
(*.f64 a a)
a
(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(sqrt.f64 a)
a

Outputs
(/.f64 (sqrt.f64 (*.f64 a a)) a)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 a a))
a
(*.f64 a a)
a
(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
a
(sqrt.f64 a)
a

localize29.0ms (0.5%)

Memory

-14.6MiB live, 26.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
✓	accuracy	100.0%	(sqrt.f64 a)
✓	accuracy	99.2%	(*.f64 (sqrt.f64 a) (sqrt.f64 a))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (*.f64 a a)) a)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	76.5%	(sqrt.f64 (*.f64 a a))

Samples

21.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-mult: 6.0ms (42.3% of total)

ival-sqrt: 5.0ms (35.3% of total)

ival-div: 3.0ms (21.2% of total)

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

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

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 72

Calls

Call 1

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

Outputs
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* -1 (pow (sqrt -1) 2))>
#<alt (* -1 (pow (sqrt -1) 2))>
#<alt (* -1 (pow (sqrt -1) 2))>
#<alt (* -1 (pow (sqrt -1) 2))>

Calls

18 calls:

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

rewrite65.0ms (1%)

Memory

7.6MiB live, 45.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

242×	`lower-*.f32`
238×	`lower-*.f64`
140×	`lower-/.f64`
140×	`lower-/.f32`
94×	`lower-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	13	13
1	30	9
2	132	9
0	659	9

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 107

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a a))
(*.f64 a a)
(/.f64 (sqrt.f64 (*.f64 a a)) a)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(sqrt.f64 a)
(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)

Outputs
a
(exp.f64 (log.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(fabs.f64 a)
(fabs.f64 (neg.f64 a))
(fabs.f64 (-.f64 a #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 a))
(sqrt.f64 (*.f64 a a))
(neg.f64 (neg.f64 a))
(/.f64 a #s(literal 1 binary64))
(/.f64 (neg.f64 a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 2 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1/4 binary64))
(*.f64 a #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) a)
(*.f64 #s(literal -1 binary64) (neg.f64 a))
(.f64 (sqrt.f64 (sqrt.f64 a)) (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (.f64 a (sqrt.f64 a))))
(.f64 (sqrt.f64 (sqrt.f64 a)) (.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(.f64 (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 a)))
(.f64 (sqrt.f64 (.f64 a (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 a (.f64 a a)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 a)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 a a))
(fabs.f64 (neg.f64 (*.f64 a a)))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (.f64 a (.f64 a (*.f64 a a))))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 4 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1/2 binary64))
(*.f64 a a)
(.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 (sqrt.f64 (sqrt.f64 a)) (.f64 (sqrt.f64 (sqrt.f64 a)) (*.f64 a (sqrt.f64 a))))
(.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 a)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 a)) #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 a (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
#s(literal 1 binary64)
a
(exp.f64 (log.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(fabs.f64 a)
(fabs.f64 (neg.f64 a))
(fabs.f64 (-.f64 a #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 a))
(sqrt.f64 (*.f64 a a))
(neg.f64 (neg.f64 a))
(/.f64 a #s(literal 1 binary64))
(/.f64 (neg.f64 a) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 2 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1/4 binary64))
(*.f64 a #s(literal 1 binary64))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (neg.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) a)
(*.f64 #s(literal -1 binary64) (neg.f64 a))
(.f64 (sqrt.f64 (sqrt.f64 a)) (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (.f64 a (sqrt.f64 a))))
(.f64 (sqrt.f64 (sqrt.f64 a)) (.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(.f64 (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 a)))
(.f64 (sqrt.f64 (.f64 a (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 a)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 a) (*.f64 #s(literal 1/2 binary64) (log.f64 a))))
(fabs.f64 (sqrt.f64 a))
(fabs.f64 (neg.f64 (sqrt.f64 a)))
(fabs.f64 (/.f64 (neg.f64 a) (sqrt.f64 a)))
(sqrt.f64 a)
(sqrt.f64 (/.f64 (*.f64 a a) a))
(/.f64 a (sqrt.f64 a))
(/.f64 (neg.f64 a) (neg.f64 (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 a) a))
(/.f64 (/.f64 a (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 a)) #s(literal 2 binary64))
(pow.f64 (.f64 a (.f64 a (*.f64 a a))) #s(literal 1/8 binary64))
(*.f64 a (/.f64 (sqrt.f64 a) a))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 a)))
(.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/4 binary64)) (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 a (sqrt.f64 a)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (/.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))))
#s(literal 1 binary64)

simplify23.0ms (0.4%)

Memory

-15.6MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

240×	`lower-*.f64`
240×	`lower-fma.f64`
240×	`lower-fma.f32`
240×	`lower-*.f32`
156×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	31	112
2	73	112
3	125	112
4	265	112
5	479	112
6	567	112
7	575	112
0	575	112

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 56

Calls

Call 1

Inputs
a
a
a
a
a
a
a
a
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1
1
1
1
1
1
1
1
-1
-1
-1
-1
a
a
a
a
a
a
a
a
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (pow (sqrt -1) 2)))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
1
1
1
1
1
1
1
1
(* -1 (pow (sqrt -1) 2))
(* -1 (pow (sqrt -1) 2))
(* -1 (pow (sqrt -1) 2))
(* -1 (pow (sqrt -1) 2))

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

eval19.0ms (0.3%)

Memory: 29.2MiB live, 29.2MiB allocated
Compiler: Compiled 1 511 to 288 computations (80.9% saved)

prune39.0ms (0.6%)

Memory

2.9MiB live, 37.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	200	7	207

Accuracy

100.0%

Counts

207 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.8%	(/.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) a)
✓	74.9%	(/.f64 (sqrt.f64 (*.f64 a a)) a)
✓	75.8%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))))
✓	76.9%	(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 #s(literal 1 binary64) (/.f64 b a)) (+.f64 b a)) a)))
✓	97.6%	#s(literal 1 binary64)

Compiler

Compiled 194 to 102 computations (47.4% saved)

regimes315.0ms (5%)

Memory

-74.0MiB live, 36.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

7 calls:

292.0ms	(*.f64 a a)
5.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
4.0ms	a
4.0ms	b
3.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes23.0ms (0.4%)

Memory

-16.9MiB live, 25.4MiB allocated

Accuracy

Total -14.9b remaining (-982.2%)

Threshold costs -14.9b (-982.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

7 calls:

8.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
3.0ms	b
3.0ms	a
2.0ms	(*.f64 a a)
2.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

Accuracy	Segments	Branch
97.6%	1	`a`
97.6%	1	`b`
97.6%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.6%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.6%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.6%	1	`(*.f64 a a)`
97.6%	1	`(*.f64 b b)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness550.0ms (8.8%)

Memory

-17.2MiB live, 183.2MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
3 768×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	710	840
4	3821	840
0	8043	792
0	27	130
0	53	132
1	165	124
2	1168	124
0	8699	124
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 48 to 33 computations (31.3% saved)

preprocess22.0ms (0.4%)

Memory

7.4MiB live, 46.3MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 104 to 66 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	112
1	31	112
2	73	112
3	125	112
4	265	112
5	479	112
6	567	112
7	575	112
0	575	112

Iter	Nodes	Cost
0	14	112
1	31	112
2	73	112
3	125	112
4	265	112
5	479	112
6	567	112
7	575	112
0	575	112

analyze18.0ms (0.3%)

sample1.2s (18.5%)

preprocess307.0ms (4.9%)

explain112.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify262.0ms (4.2%)

localize35.0ms (0.6%)

series5.0ms (0.1%)

rewrite277.0ms (4.4%)

simplify388.0ms (6.2%)

eval64.0ms (1%)

prune84.0ms (1.3%)

simplify215.0ms (3.4%)

localize86.0ms (1.4%)

series24.0ms (0.4%)

rewrite286.0ms (4.6%)

simplify359.0ms (5.7%)

eval140.0ms (2.2%)

prune86.0ms (1.4%)

simplify260.0ms (4.1%)

localize57.0ms (0.9%)

series8.0ms (0.1%)

rewrite288.0ms (4.6%)

simplify265.0ms (4.2%)

eval114.0ms (1.8%)

prune84.0ms (1.3%)

simplify193.0ms (3.1%)

localize29.0ms (0.5%)

series2.0ms (0%)

rewrite65.0ms (1%)

simplify23.0ms (0.4%)

eval19.0ms (0.3%)

prune39.0ms (0.6%)

regimes315.0ms (5%)

regimes23.0ms (0.4%)

simplify5.0ms (0.1%)

soundness550.0ms (8.8%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	112
1	31	112
2	73	112
3	125	112
4	265	112
5	479	112
6	567	112
7	575	112
0	575	112