Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze35.0ms (0.7%)

Memory

-29.1MiB live, 9.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.5s (31.8%)

Memory

65.0MiB live, 1 815.5MiB allocated

Samples

1.0s	8 256×	0	valid
96.0ms	796×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 795.0ms

ival-<=: 279.0ms (35.1% of total)

ival-mult: 185.0ms (23.3% of total)

ival-div: 103.0ms (13% of total)

ival-sqrt: 87.0ms (10.9% of total)

ival-sub: 56.0ms (7% of total)

ival-fabs: 51.0ms (6.4% of total)

ival-and: 19.0ms (2.4% of total)

exact: 12.0ms (1.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain113.0ms (2.4%)

Memory

13.4MiB live, 132.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
47	-	-	`(/.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	47	0
↳	`(*.f64 b b)`	underflow	173
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	47
↳	`(*.f64 a a)`	underflow	47
↳	`(*.f64 a a)`	underflow	47

Confusion

	Predicted +	Predicted -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	47

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 170 to 36 computations (78.8% saved)

Precisions

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

ival-mult: 7.0ms (36% of total)

ival-sub: 3.0ms (15.4% of total)

ival-div: 3.0ms (15.4% of total)

ival-fabs: 3.0ms (15.4% of total)

ival-sqrt: 3.0ms (15.4% of total)

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

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

preprocess187.0ms (3.9%)

Memory

-0.1MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify149.0ms (3.1%)

Memory

-53.8MiB live, 136.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
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)))

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

localize23.0ms (0.5%)

Memory

33.3MiB live, 33.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.00390625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	11.390754299389389	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

256×

valid

Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions

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

ival-mult: 3.0ms (31.7% of total)

ival-div: 2.0ms (21.1% of total)

ival-sqrt: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.6% of total)

ival-fabs: 1.0ms (10.6% of total)

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

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

series11.0ms (0.2%)

Memory

-23.6MiB live, 14.1MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (-.f64 (.f64 a a) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify154.0ms (3.3%)

Memory

20.6MiB live, 137.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	990
1	55	876
2	165	876
3	710	876
4	3801	876
0	8015	828

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

rewrite182.0ms (3.9%)

Memory

-9.5MiB live, 147.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	46
0	14	46
1	58	40
2	431	34
3	4344	34
0	8225	34

Stop Event

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

Counts

5 → 416

Calls

Call 1

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

Outputs
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eval122.0ms (2.6%)

Memory: -1.3MiB live, 113.1MiB allocated
Compiler: Compiled 11 934 to 1 909 computations (84% saved)

prune13.0ms (0.3%)

Memory

-3.5MiB live, 33.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	557	4	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	4	562

Accuracy

100.0%

Counts

562 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	81.6%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
▶	98.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify164.0ms (3.5%)

Memory

17.6MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	210
0	44	207
1	81	195
2	149	192
3	313	192
4	656	192
5	2227	192
6	6766	192
0	8158	192

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (2.9%)

Memory

-18.7MiB live, 56.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.01171875	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	11.747974251754455	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.0078125	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
accuracy	11.390754299389389	(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
accuracy	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.2324367843318706	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.2734375	(/.f64 (/.f64 b a) a)

Samples

76.0ms

256×

valid

Compiler

Compiled 398 to 52 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 8.0ms (28.6% of total)

ival-mult: 6.0ms (21.4% of total)

ival-sqrt: 5.0ms (17.9% of total)

ival-fabs: 4.0ms (14.3% of total)

ival-sub: 3.0ms (10.7% of total)

ival-add: 2.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (1.5%)

Memory

6.1MiB live, 50.1MiB allocated

Counts

15 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)))
3.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)))
3.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)))
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)))
2.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (/ (/ b a) a) (/ (fabs (* (- a b) (+ b a))) (* a a)))

simplify228.0ms (4.8%)

Memory

6.5MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	3586
1	332	3112
2	991	3112
3	4588	3112
0	9128	2950

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 357

Calls

Call 1

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

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

rewrite209.0ms (4.4%)

Memory

31.6MiB live, 138.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	172
0	44	171
1	170	153
2	1156	138
0	8575	138

Stop Event

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

Counts

15 → 832

Calls

Call 1

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

Outputs
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eval438.0ms (9.3%)

Memory: -17.1MiB live, 445.2MiB allocated
Compiler: Compiled 44 362 to 4 326 computations (90.2% saved)

prune52.0ms (1.1%)

Memory

16.9MiB live, 100.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 640	1	1 641
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 640	5	1 645

Accuracy

100.0%

Counts

1 645 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
✓	81.6%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
✓	98.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	82.2%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 85 to 55 computations (35.3% saved)

simplify137.0ms (2.9%)

Memory

17.6MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	73
0	20	73
1	41	69
2	91	67
3	221	67
4	507	67
5	1763	67
6	5674	67
0	8216	67

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (1%)

Memory

2.9MiB live, 41.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	12.043744480039935	(/.f64 b (*.f64 a a))

Samples

37.0ms

256×

valid

Compiler

Compiled 130 to 29 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 19.0ms (64.4% of total)

ival-div: 3.0ms (10.2% of total)

ival-fabs: 3.0ms (10.2% of total)

ival-sqrt: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory

-27.8MiB live, 11.0MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
1.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
1.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
1.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))
1.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ b (* a a)))

simplify125.0ms (2.6%)

Memory

-2.7MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1194
1	43	1050
2	108	1050
3	257	1050
4	705	1050
5	2606	1050
6	6955	1050
0	8110	960

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite151.0ms (3.2%)

Memory

-5.8MiB live, 151.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	67
0	20	67
1	87	61
2	622	55
3	7352	55
0	8351	55

Stop Event

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

Counts

5 → 313

Calls

Call 1

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

Outputs
#<batchref>
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eval75.0ms (1.6%)

Memory: -16.9MiB live, 103.6MiB allocated
Compiler: Compiled 13 824 to 1 626 computations (88.2% saved)

prune9.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	433	5	438

Accuracy

100.0%

Counts

438 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
✓	81.6%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
✓	98.1%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	82.2%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 183 to 92 computations (49.7% saved)

regimes17.0ms (0.4%)

Memory

-2.4MiB live, 36.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
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 44 to 31 computations (29.5% saved)

regimes37.0ms (0.8%)

Memory

-20.1MiB live, 18.8MiB allocated

Accuracy

Total -12.2b remaining (-1026.3%)

Threshold costs -12.2b (-1026.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	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
98.1%	1	`a`
98.1%	1	`b`
98.1%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.1%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.1%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.1%	1	`(*.f64 a a)`
98.1%	1	`(*.f64 b b)`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify22.0ms (0.5%)

Memory

5.4MiB live, 44.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	21	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

soundness274.0ms (5.8%)

Memory

-2.5MiB live, 118.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	990
1	55	876
2	165	876
3	710	876
4	3801	876
0	8015	828

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 51 to 31 computations (39.2% saved)

preprocess25.0ms (0.5%)

Memory

15.2MiB live, 54.3MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 194 to 108 computations (44.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze35.0ms (0.7%)

sample1.5s (31.8%)

explain113.0ms (2.4%)

preprocess187.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify149.0ms (3.1%)

localize23.0ms (0.5%)

series11.0ms (0.2%)

simplify154.0ms (3.3%)

rewrite182.0ms (3.9%)

eval122.0ms (2.6%)

prune13.0ms (0.3%)

simplify164.0ms (3.5%)

localize138.0ms (2.9%)

series70.0ms (1.5%)

simplify228.0ms (4.8%)

rewrite209.0ms (4.4%)

eval438.0ms (9.3%)

prune52.0ms (1.1%)

simplify137.0ms (2.9%)

localize45.0ms (1%)

series22.0ms (0.5%)

simplify125.0ms (2.6%)

rewrite151.0ms (3.2%)

eval75.0ms (1.6%)

prune9.0ms (0.2%)

regimes17.0ms (0.4%)

regimes37.0ms (0.8%)

simplify22.0ms (0.5%)

soundness274.0ms (5.8%)

preprocess25.0ms (0.5%)

end0.0ms (0%)

Profiling