Metrics for Eccentricity of an ellipse

analyze37.0ms (0.6%)

Memory

-30.5MiB live, 8.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (20.9%)

Memory

68.1MiB live, 798.8MiB allocated

Samples

779.0ms	8 256×	0	valid
77.0ms	793×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-mult: 176.0ms (28.7% of total)

ival-<=: 132.0ms (21.5% of total)

ival-sub: 92.0ms (15% of total)

ival-div: 84.0ms (13.7% of total)

ival-sqrt: 57.0ms (9.3% of total)

ival-fabs: 40.0ms (6.5% of total)

ival-and: 17.0ms (2.8% of total)

exact: 12.0ms (2% of total)

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

Bogosity

preprocess346.0ms (5.7%)

Memory

-42.0MiB live, 424.6MiB 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)

explain107.0ms (1.8%)

Memory

3.3MiB live, 162.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
60	-	-	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0	-	-	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`	u/u	60	0
↳	`(*.f64 b b)`	underflow	190
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	60
↳	`(*.f64 a a)`	underflow	60
↳	`(*.f64 a a)`	underflow	60

Confusion

	Predicted +	Predicted -
+	60	0
-	0	196

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	196
1	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 136 to 36 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sub: 16.0ms (50.5% of total)

ival-mult: 6.0ms (18.9% of total)

ival-div: 3.0ms (9.5% of total)

ival-sqrt: 3.0ms (9.5% of total)

ival-fabs: 2.0ms (6.3% 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify256.0ms (4.2%)

Memory

-21.8MiB live, 334.9MiB 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

localize25.0ms (0.4%)

Memory

36.1MiB live, 36.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (34.2% of total)

ival-div: 2.0ms (22.8% of total)

ival-sqrt: 2.0ms (22.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-fabs: 1.0ms (11.4% of total)

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

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

series13.0ms (0.2%)

Memory

-30.4MiB live, 9.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	(/ (- (* a a) (* b b)) (* a a))
1.0ms	b	@	0	(/ (- (* a a) (* b b)) (* a a))
1.0ms	a	@	0	(/ (- (* 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))))

rewrite264.0ms (4.4%)

Memory

10.0MiB live, 370.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

4 → 391

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (.f64 a a)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 b (*.f64 a a))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (.f64 b (/.f64 b (.f64 a a)))) #s(literal 1 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (*.f64 b (neg.f64 b))) #s(literal 1 binary64))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (.f64 b (/.f64 b (*.f64 a a)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 b (/.f64 b (.f64 a a))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) (.f64 b b)) (.f64 a (.f64 a (.f64 a a)))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (.f64 a a)) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (.f64 a a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a a))) (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (*.f64 a a)))))
(-.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (fma.f64 a a (.f64 b b))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (.f64 b (/.f64 b (.f64 a a))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))))
(fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 b (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (.f64 b (neg.f64 b)) (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a))) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 b (/.f64 b (.f64 a a)))))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a))
(/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (.f64 a a)))
(/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))))
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(/.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (fma.f64 a a (.f64 b b)))
(/.f64 (neg.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (neg.f64 (fma.f64 a a (.f64 b b)))))
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (fma.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 a a (.f64 b b)))) (/.f64 (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 (fma.f64 a a (.f64 b b)) (fma.f64 a a (.f64 b b))) (fma.f64 a a (.f64 b b))))) (fma.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 a a (.f64 b b)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 a a (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (.f64 a a)))
(/.f64 (.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 a b))) (-.f64 a b))
(/.f64 (.f64 (-.f64 a b) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (fma.f64 b (-.f64 b a) (*.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (fma.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a)))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (.f64 (.f64 (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (+.f64 a b)) (+.f64 a b))
(/.f64 (.f64 (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)) (+.f64 a b)) (fma.f64 b (+.f64 a b) (.f64 a a)))
(pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a))))) #s(literal 1 binary64)))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))))
(.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (*.f64 a a)))))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #s(literal 1 binary64)))
(.f64 (fma.f64 a a (.f64 b b)) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))))
(.f64 (fma.f64 a a (.f64 b b)) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (+.f64 a b) (neg.f64 (neg.f64 (-.f64 a b))))
(.f64 (+.f64 a b) (.f64 (-.f64 a b) #s(literal 1 binary64)))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (-.f64 a b) (.f64 (+.f64 a b) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 a b) (-.f64 b a)))
(.f64 (neg.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a))))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b)))
(*.f64 (neg.f64 (neg.f64 (+.f64 a b))) (-.f64 a b))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (fma.f64 a (.f64 a (.f64 a a)) (.f64 (.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (.f64 b b)))) (.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 a (.f64 a (.f64 a a))))))) (fma.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (-.f64 (.f64 b (.f64 b (fma.f64 a a (.f64 b b)))) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))
(.f64 (/.f64 (.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (fma.f64 b (.f64 b (fma.f64 a a (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (.f64 b b))))))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (fma.f64 a a (*.f64 b b))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 a (/.f64 (*.f64 b b) a)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (neg.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b))))) (sqrt.f64 (neg.f64 (.f64 a a))))
(/.f64 (neg.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 a))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 a (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) a))

simplify417.0ms (6.9%)

Memory

7.5MiB live, 602.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval67.0ms (1.1%)

Memory: 9.2MiB live, 126.3MiB allocated
Compiler: Compiled 13 840 to 1 666 computations (88% saved)

prune78.0ms (1.3%)

Memory

-15.8MiB live, 144.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	482	5	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	483	5	488

Accuracy

100.0%

Counts

488 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 116 to 76 computations (34.5% saved)

simplify282.0ms (4.7%)

Memory

-8.1MiB live, 434.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
✓	cost-diff	128	(fabs.f64 (fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64)))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (neg.f64 (/.f64 b a)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 a b) (-.f64 a b))
✓	cost-diff	0	(fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) a)
✓	cost-diff	0	(/.f64 b (*.f64 a a))
✓	cost-diff	0	(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))
✓	cost-diff	0	(fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	cost-diff	128	(fabs.f64 #s(literal 1 binary64))
✓	cost-diff	640	(sqrt.f64 (fabs.f64 #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 a b) a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))
✓	cost-diff	128	(fabs.f64 (/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b))))
✓	cost-diff	960	(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))

Rules

8 520×	`lower-fma.f32`
8 516×	`lower-fma.f64`
4 350×	`lower-*.f32`
4 346×	`lower-*.f64`
1 724×	`times-frac`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	27	178
0	53	190
1	85	190
2	158	190
3	313	190
4	570	190
5	1079	190
6	2523	168
7	7504	168
0	8147	168

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.6%)

Memory

33.8MiB live, 192.0MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

62.0ms

256×

valid

Compiler

Compiled 189 to 31 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 15.0ms (31.8% of total)

ival-fabs: 11.0ms (23.3% of total)

ival-sqrt: 9.0ms (19.1% of total)

ival-mult: 5.0ms (10.6% of total)

ival-add: 4.0ms (8.5% of total)

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.8%)

Memory

-11.4MiB live, 66.3MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(/ (/ (+ a b) a) (/ a (- a b)))
4.0ms	b	@	0	(+ (* (/ b a) (neg (/ b a))) 1)
1.0ms	a	@	-inf	(/ (+ a b) a)
1.0ms	a	@	-inf	(/ (sqrt (fabs (* (+ a b) (- a b)))) a)
1.0ms	a	@	0	(/ (/ (+ a b) a) (/ a (- a b)))

rewrite333.0ms (5.5%)

Memory

14.9MiB live, 456.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 852×	`lower-/.f32`
3 840×	`lower-/.f64`
3 460×	`lower-*.f32`
3 456×	`lower-*.f64`
2 962×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	155
0	53	153
1	173	146
2	1241	146
0	8550	146

Stop Event

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

Counts

21 → 761

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) a) (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) b)))
(+.f64 (.f64 a (/.f64 (+.f64 a b) (.f64 a a))) (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) (+.f64 a b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 a b) a) (/.f64 (/.f64 b a) (/.f64 a (+.f64 a b))))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 b a) (/.f64 (+.f64 a b) (.f64 a a))))
(-.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))) (/.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 a a) (-.f64 b a))) (.f64 (-.f64 b a) (/.f64 (+.f64 a b) (*.f64 a a))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a (-.f64 b a))) (.f64 (-.f64 b a) (/.f64 (+.f64 a b) (.f64 a a))))
(-.f64 (/.f64 (.f64 a a) (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (-.f64 a b))) (/.f64 (.f64 b b) (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (-.f64 a b))))
(fma.f64 a (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (*.f64 a a))))
(fma.f64 (/.f64 (+.f64 a b) (.f64 a a)) a (neg.f64 (.f64 (/.f64 (+.f64 a b) (*.f64 a a)) b)))
(neg.f64 (.f64 (-.f64 b a) (/.f64 (+.f64 a b) (.f64 a a))))
(/.f64 (+.f64 a b) (/.f64 (*.f64 a a) (-.f64 a b)))
(/.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))
(/.f64 (-.f64 a b) (*.f64 a (/.f64 a (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (.f64 a a))) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 (+.f64 a b) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (fma.f64 b (+.f64 a b) (.f64 a a))) (.f64 (/.f64 (+.f64 a b) a) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 a b)) (.f64 (/.f64 (+.f64 a b) a) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (fma.f64 b (+.f64 a b) (*.f64 a a)) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (-.f64 (neg.f64 a) b) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 a (-.f64 b a)) (/.f64 a (+.f64 a b))))
(/.f64 (-.f64 (neg.f64 a) b) (/.f64 (*.f64 a a) (-.f64 b a)))
(/.f64 (neg.f64 (/.f64 (+.f64 a b) a)) (/.f64 a (-.f64 b a)))
(/.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))) (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 a (+.f64 a b)))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b)))
(/.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (.f64 (/.f64 (+.f64 a b) a) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 a (fma.f64 b (+.f64 a b) (*.f64 a a))))
(/.f64 (.f64 (/.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a (+.f64 a b)))
(/.f64 (/.f64 (-.f64 b a) a) (/.f64 a (-.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (fma.f64 b (.f64 b b) (.f64 a (.f64 a a)))) (neg.f64 (.f64 (/.f64 (.f64 a a) (-.f64 a b)) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (neg.f64 (.f64 (/.f64 (*.f64 a a) (-.f64 a b)) (-.f64 a b))))
(/.f64 (/.f64 (+.f64 a b) (*.f64 a (neg.f64 a))) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (*.f64 a a)))
(/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (*.f64 (-.f64 (neg.f64 a) b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)) a)
(/.f64 (*.f64 (+.f64 a b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) a)
(/.f64 (*.f64 (/.f64 (+.f64 a b) a) (-.f64 b a)) (neg.f64 a))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) a) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (neg.f64 (.f64 a (fma.f64 b (+.f64 a b) (*.f64 a a)))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 a (+.f64 a b))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (neg.f64 (fma.f64 b (+.f64 a b) (*.f64 a a))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (-.f64 (neg.f64 a) b))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 a) b) (-.f64 #s(literal 1 binary64) (/.f64 b a)))) a)
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) b)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) a) (.f64 (/.f64 (+.f64 a b) (.f64 a a)) a) (-.f64 (.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) b)) (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) b))) (.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) a) (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 (+.f64 a b) (.f64 a a))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 (+.f64 a b) (.f64 a a))) (.f64 a (/.f64 (+.f64 a b) (.f64 a a))) (-.f64 (.f64 (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a))) (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a)))) (.f64 (.f64 a (/.f64 (+.f64 a b) (.f64 a a))) (.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a)))))))
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(fabs.f64 (-.f64 (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))))) (fabs.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 (.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (*.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 a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a))))))
(/.f64 (fabs.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 b b) (.f64 a a)) (.f64 b b)) (neg.f64 (.f64 b b))) (*.f64 a a)))))
(/.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fabs.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))))
(.f64 (fabs.f64 (fma.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a)))))))
(.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (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 a) (.f64 (.f64 a a) (.f64 a a)))) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (*.f64 a a)))))))
(/.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1 binary64)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))))
(pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(.f64 (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(+.f64 #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 b (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a)))
(neg.f64 (/.f64 b (neg.f64 a)))
(/.f64 b a)
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 (.f64 b (/.f64 b (.f64 a (neg.f64 a)))) (/.f64 b (neg.f64 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 (+.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 #s(literal 1 binary64) (/.f64 b a))
(*.f64 #s(literal -1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 b a) #s(literal 1 binary64))
(*.f64 (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(*.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)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 b (neg.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b a)) (/.f64 a (-.f64 b a)))
(neg.f64 (/.f64 a (-.f64 b a)))
(neg.f64 (/.f64 (/.f64 a (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 a (-.f64 a b))
(/.f64 (/.f64 a (-.f64 a b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 b a) a))
(/.f64 (neg.f64 a) (-.f64 b a))
(/.f64 (/.f64 a (-.f64 b a)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 a (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(pow.f64 (/.f64 a (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (/.f64 a (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 a b)))
(*.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b a)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(.f64 (/.f64 a (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (fma.f64 b (+.f64 a b) (.f64 a a)))
(.f64 (/.f64 a (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 a b) (.f64 a a)))))
(.f64 (/.f64 a (.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 a b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (fma.f64 b (+.f64 a b) (.f64 a a)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) a)))
(.f64 (/.f64 a (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 b (.f64 b b) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b a) (.f64 a a))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a (neg.f64 a)))
(neg.f64 (*.f64 a (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 (*.f64 a (neg.f64 a)) #s(literal -1 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 a (neg.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 b a))
(-.f64 (/.f64 #s(literal 0 binary64) 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 b (/.f64 b (.f64 a (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b (.f64 a a)) #s(literal 0 binary64)) (/.f64 (neg.f64 (.f64 b (.f64 b b))) (.f64 a (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 (.f64 b (/.f64 b (.f64 a (neg.f64 a)))) (/.f64 b a))
(/.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b (neg.f64 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 (/.f64 (neg.f64 (.f64 b (.f64 b b))) (.f64 a (.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 0 binary64)))
(/.f64 (/.f64 (neg.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 b (neg.f64 a))))))
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(.f64 (.f64 b (/.f64 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 (/.f64 (neg.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)

simplify462.0ms (7.6%)

Memory

0.8MiB live, 673.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 384×	`lower-fma.f64`
13 384×	`lower-fma.f32`
3 878×	`lower-*.f64`
3 878×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	4200
1	585	3748
2	1624	3710
3	7106	3706
0	8053	3576

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval218.0ms (3.6%)

Memory: -15.9MiB live, 292.6MiB allocated
Compiler: Compiled 23 358 to 3 237 computations (86.1% saved)

prune123.0ms (2%)

Memory

24.1MiB live, 186.0MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 249	3	1 252
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 252	5	1 257

Accuracy

100.0%

Counts

1 257 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify253.0ms (4.2%)

Memory

-0.2MiB live, 273.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	cost-diff	384	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)))))
✓	cost-diff	128	(fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b))))
✓	cost-diff	896	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)))

Rules

8 648×	`lower-fma.f32`
8 646×	`lower-fma.f64`
2 286×	`lower-*.f32`
2 282×	`lower-*.f64`
1 560×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	102
0	29	112
1	53	102
2	128	102
3	428	102
4	1149	89
5	3813	88
6	6983	88
0	8031	88

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

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

localize56.0ms (0.9%)

Memory

-24.3MiB live, 70.4MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

37.0ms

256×

valid

Compiler

Compiled 107 to 19 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 7.0ms (25.8% of total)

ival-div: 5.0ms (18.4% of total)

ival-add: 5.0ms (18.4% of total)

ival-mult: 4.0ms (14.7% of total)

ival-sqrt: 3.0ms (11.1% of total)

ival-fabs: 2.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

10 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite258.0ms (4.3%)

Memory

-8.0MiB live, 307.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 684×	`lower-*.f32`
4 680×	`lower-*.f64`
4 580×	`lower-fma.f32`
4 578×	`lower-fma.f64`
4 088×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	89
0	29	86
1	108	80
2	868	80
0	8550	80

Stop Event

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

Counts

10 → 634

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)))
(+.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)))
(fma.f64 a (/.f64 (+.f64 a b) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 a (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (+.f64 a b)) a) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (+.f64 a b)) a) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) a) (/.f64 (.f64 a (+.f64 a b)) (*.f64 a a)))
(fma.f64 (/.f64 (+.f64 a b) a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (/.f64 (.f64 a (+.f64 a b)) (*.f64 a a)))
(fma.f64 (/.f64 (+.f64 a b) a) (.f64 (/.f64 #s(literal 1 binary64) a) a) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 (/.f64 (+.f64 a b) a) (.f64 (/.f64 #s(literal 1 binary64) a) a) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (+.f64 a b) (.f64 a a))) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)))
(fma.f64 (neg.f64 b) (/.f64 (+.f64 a b) (.f64 a a)) (/.f64 (.f64 a (+.f64 a b)) (*.f64 a a)))
(fma.f64 (/.f64 (+.f64 a b) (.f64 a a)) a (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 (/.f64 (+.f64 a b) (.f64 a a)) a (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 a b) (.f64 a a)) (neg.f64 b) (/.f64 (.f64 a (+.f64 a b)) (*.f64 a a)))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (+.f64 a b) a) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)))
(fma.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)))
(fma.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 a (+.f64 a b)) a) (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 (/.f64 (.f64 a (+.f64 a b)) a) (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) a) (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (+.f64 a b)) (*.f64 a a)))
(fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 (+.f64 a b) a) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (*.f64 a a)))
(fma.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (/.f64 (+.f64 a b) a) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) #s(literal -1 binary64)) b (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)))
(neg.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a a)))
(/.f64 #s(literal 1 binary64) (.f64 a (/.f64 a (.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (neg.f64 a)) (.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (-.f64 a b) (/.f64 (*.f64 a a) (+.f64 a b)))
(/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) a)
(/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (/.f64 (.f64 a (+.f64 a b)) (+.f64 a b)))
(/.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 a (/.f64 a (.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 a a))
(/.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) a) (neg.f64 a))
(/.f64 (.f64 (+.f64 a b) (-.f64 b a)) (.f64 a (neg.f64 a)))
(/.f64 (-.f64 b a) (*.f64 (neg.f64 a) (/.f64 a (+.f64 a b))))
(/.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (.f64 a a)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) a) (.f64 a (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) a) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) a))
(/.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))) (*.f64 a (+.f64 a b)))
(/.f64 (/.f64 (-.f64 a b) a) (/.f64 a (+.f64 a b)))
(/.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 b a))) (.f64 a a))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (.f64 a a))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (-.f64 (neg.f64 a) b))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (-.f64 (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a))) (.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 a (+.f64 a b)) (.f64 a a))) (.f64 (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a)))) (-.f64 (/.f64 (.f64 a (+.f64 a b)) (.f64 a a)) (/.f64 (.f64 (-.f64 (neg.f64 a) b) b) (.f64 a a))))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 a (+.f64 a b)) (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (/.f64 a (+.f64 a b))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 (-.f64 a b) a)) (.f64 (fma.f64 b b (.f64 a (-.f64 a b))) a))
(/.f64 (.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 (-.f64 a b) a)) (.f64 a (fma.f64 b b (.f64 a (-.f64 a b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 (-.f64 a b) a)) (*.f64 a (-.f64 a b)))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 (-.f64 a b) a)) (.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (neg.f64 a)))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (-.f64 a b) a)) (neg.f64 (*.f64 a (-.f64 a b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (/.f64 (-.f64 a b) a)) (-.f64 a b))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a b) a)) (/.f64 a (-.f64 (neg.f64 a) b)))
(/.f64 (.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) a) (/.f64 (-.f64 a b) a)) (fma.f64 b b (*.f64 a (-.f64 a b))))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 (+.f64 a b) (.f64 a a))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b)) (/.f64 (+.f64 a b) (.f64 a a))) (fma.f64 a a (*.f64 (neg.f64 b) (-.f64 (neg.f64 a) b))))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 (+.f64 a b) (*.f64 a a))) (+.f64 a b))
(/.f64 (.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 (+.f64 a b) (*.f64 a a))) (-.f64 (neg.f64 a) b))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 b a)) (/.f64 (+.f64 a b) (.f64 a a))) (neg.f64 (fma.f64 a (+.f64 a b) (*.f64 b b))))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (neg.f64 a) (fma.f64 a (+.f64 a b) (.f64 b b))))
(/.f64 (.f64 (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (neg.f64 a)))
(/.f64 (.f64 (.f64 (+.f64 a b) (.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) a)) (.f64 (-.f64 (neg.f64 a) b) a))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) a) (/.f64 #s(literal 1 binary64) a)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a))) (/.f64 #s(literal 1 binary64) a)) (+.f64 a b))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) a) #s(literal -1 binary64)) a)
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (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 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 (/.f64 (+.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b))) #s(literal 1 binary64))) (fma.f64 a (+.f64 a b) (.f64 b b)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (+.f64 a b))
(pow.f64 (.f64 a (/.f64 a (.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))
(.f64 (+.f64 a b) (.f64 (/.f64 (-.f64 a b) a) (/.f64 #s(literal 1 binary64) a)))
(.f64 (+.f64 a b) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(.f64 (-.f64 a b) (/.f64 (+.f64 a b) (.f64 a a)))
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(.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 b b (.f64 a (-.f64 a b))))))
(.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (.f64 a (-.f64 a b))) a)))
(.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 #s(literal 1 binary64) a)))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 a b))))
(.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (neg.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b b (.f64 a (-.f64 a b))) (neg.f64 a))))
(.f64 (.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 (/.f64 (+.f64 a b) a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)))
(.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (+.f64 a b)))
(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) a) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (fma.f64 a (.f64 a a) (.f64 b (.f64 b b))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (+.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (.f64 (/.f64 (+.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 a (+.f64 a b) (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (pow.f64 (/.f64 a (fma.f64 a (.f64 a a) (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (/.f64 (+.f64 a b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 (-.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 a b) a) (-.f64 a b)))
(*.f64 (/.f64 (+.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 a b) a) (-.f64 a b)))
(.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 a b)))
(.f64 (/.f64 (/.f64 (+.f64 a b) a) (.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (+.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (/.f64 (/.f64 (-.f64 a b) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (/.f64 (+.f64 a b) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 (/.f64 (-.f64 a b) a) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (-.f64 a b) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (/.f64 (/.f64 (+.f64 a b) a) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (/.f64 (-.f64 a b) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 a b) a) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b))) #s(literal 1 binary64)) a) (/.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (/.f64 (+.f64 a b) a) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (/.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (.f64 b b)))))
(.f64 (/.f64 (/.f64 (+.f64 a b) a) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))))
(.f64 (/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (.f64 (fma.f64 a (+.f64 a b) (.f64 b b)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a b) (*.f64 b b)))))
(.f64 (/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(.f64 (/.f64 (.f64 (+.f64 a b) (/.f64 (-.f64 a b) a)) (.f64 (/.f64 (-.f64 a b) (fma.f64 b b (.f64 a (-.f64 a b)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(.f64 (/.f64 (fma.f64 b b (.f64 a (-.f64 a b))) a) (/.f64 (+.f64 a b) (fma.f64 b b (*.f64 a (-.f64 a b)))))
(*.f64 (pow.f64 (/.f64 a (+.f64 a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (+.f64 a b)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (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 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 (+.f64 a b) (fma.f64 a (+.f64 a b) (.f64 b b))) #s(literal 1 binary64))) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(.f64 (.f64 (+.f64 a b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))

simplify289.0ms (4.8%)

Memory

7.8MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 660×	`lower-fma.f64`
11 660×	`lower-fma.f32`
2 772×	`lower-*.f64`
2 772×	`lower-*.f32`
2 290×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	2116
1	249	2022
2	723	1988
3	3153	1766
0	9143	1652

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

Calls

Call 1

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

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

eval160.0ms (2.6%)

Memory: 8.5MiB live, 173.5MiB allocated
Compiler: Compiled 19 109 to 3 019 computations (84.2% saved)

prune118.0ms (2%)

Memory

-14.3MiB live, 145.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	921	0	921
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	921	5	926

Accuracy

100.0%

Counts

926 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 146 to 77 computations (47.3% saved)

regimes21.0ms (0.3%)

Memory

-12.7MiB live, 30.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)
3.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

regimes12.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Accuracy

Total -14.2b remaining (-1002%)

Threshold costs -14.2b (-1002%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

7 calls:

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

Results

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

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify5.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness417.0ms (6.9%)

Memory

-4.2MiB live, 230.0MiB allocated

Rules

17 628×	`lower-fma.f64`
17 628×	`lower-fma.f32`
5 538×	`lower-*.f64`
5 538×	`lower-*.f32`
3 852×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	972
1	55	840
2	165	840
3	711	840
4	3832	840
0	8007	792
0	8	43
0	14	43
1	58	37
2	431	31
3	4344	31
0	8225	31
0	27	155
0	53	153
1	173	146
2	1241	146
0	8550	146

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 45 to 31 computations (31.1% saved)

preprocess22.0ms (0.4%)

Memory

2.5MiB live, 41.2MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 104 to 60 computations (42.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze37.0ms (0.6%)

sample1.3s (20.9%)

preprocess346.0ms (5.7%)

explain107.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify256.0ms (4.2%)

localize25.0ms (0.4%)

series13.0ms (0.2%)

rewrite264.0ms (4.4%)

simplify417.0ms (6.9%)

eval67.0ms (1.1%)

prune78.0ms (1.3%)

simplify282.0ms (4.7%)

localize94.0ms (1.6%)

series46.0ms (0.8%)

rewrite333.0ms (5.5%)

simplify462.0ms (7.6%)

eval218.0ms (3.6%)

prune123.0ms (2%)

simplify253.0ms (4.2%)

localize56.0ms (0.9%)

series5.0ms (0.1%)

rewrite258.0ms (4.3%)

simplify289.0ms (4.8%)

eval160.0ms (2.6%)

prune118.0ms (2%)

regimes21.0ms (0.3%)

regimes12.0ms (0.2%)

simplify5.0ms (0.1%)

soundness417.0ms (6.9%)

preprocess22.0ms (0.4%)

end0.0ms (0%)

Profiling