Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze12.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (40.9%)

Memory

-12.4MiB live, 881.2MiB allocated; 280ms collecting garbage

Samples

822.0ms	8 256×	0	valid
86.0ms	829×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 667.0ms

ival-<=: 199.0ms (29.8% of total)

ival-mult: 137.0ms (20.5% of total)

ival-fabs: 107.0ms (16% of total)

ival-div: 91.0ms (13.6% of total)

ival-sqrt: 57.0ms (8.5% of total)

ival-sub: 39.0ms (5.8% of total)

ival-and: 18.0ms (2.7% of total)

exact: 11.0ms (1.6% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain152.0ms (4.7%)

Memory

3.8MiB live, 151.6MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
52	-	-	`(/.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	52	0
↳	`(*.f64 b b)`	underflow	175
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	52
↳	`(*.f64 a a)`	underflow	52
↳	`(*.f64 a a)`	underflow	52

Confusion

	Predicted +	Predicted -
+	52	0
-	0	204

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	0	0	204

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (37.3% of total)

ival-div: 3.0ms (16% of total)

ival-sqrt: 3.0ms (16% of total)

ival-sub: 2.0ms (10.7% of total)

ival-fabs: 2.0ms (10.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess132.0ms (4%)

Memory

18.3MiB live, 109.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	88	57
2	586	57
3	5664	57
0	8	13
0	14	13
1	37	11
2	204	11
3	2138	11
0	8528	10

Stop Event

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

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify106.0ms (3.3%)

Memory

-33.4MiB live, 77.0MiB allocated; 14ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
cost-diff	1	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
cost-diff	2	(/.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	37	45
2	204	45
3	2138	45
0	8528	43

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.7%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(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	12.601706469924313	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (33% of total)

ival-sqrt: 2.0ms (22% of total)

ival-sub: 1.0ms (11% of total)

ival-div: 1.0ms (11% of total)

ival-fabs: 1.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

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

Outputs
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

Calls

6 calls:

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

simplify128.0ms (3.9%)

Memory

-26.1MiB live, 63.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	249
1	99	225
2	480	225
3	5581	225
0	8107	220

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (- (pow a 2) (pow b 2))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))

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

rewrite41.0ms (1.3%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	43
1	60	37
0	560	37

Stop Event

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

Counts

4 → 80

Calls

Call 1

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

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

eval25.0ms (0.8%)

Memory: -22.7MiB live, 24.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 580 to 416 computations (73.7% saved)

prune4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b a)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a))))))
▶	79.7%	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
▶	99.9%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
▶	97.0%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))

Compiler

Compiled 184 to 106 computations (42.4% saved)

simplify166.0ms (5.1%)

Memory

4.3MiB live, 177.0MiB allocated; 36ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 b a) a)
cost-diff	0	(fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
cost-diff	3	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
cost-diff	0	(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
cost-diff	0	(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a))))
cost-diff	0	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
cost-diff	1	(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
cost-diff	1	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.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	(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b a)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a)))))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b a)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a))))))
cost-diff	1	(*.f64 (/.f64 b a) (/.f64 b a))
cost-diff	8	(.f64 (.f64 (/.f64 b a) (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	356
0	65	355
1	149	301
2	580	270
3	5476	270
0	8172	270

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (3.6%)

Memory

21.6MiB live, 165.7MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
accuracy	0.01171875	(/.f64 (+.f64 b a) a)
accuracy	0.05078125	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
accuracy	0.06640625	(/.f64 (-.f64 a b) a)
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
accuracy	0.0	(neg.f64 b)
accuracy	0.0	(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
accuracy	29.082552744151975	(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
accuracy	0.0	(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	1.9945851559247938	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b a)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a))))))
accuracy	0.0390625	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 b a) (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b a)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a))))
accuracy	0.285820019536884	(.f64 (.f64 (/.f64 b a) (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b a)))
accuracy	0.37728500976844204	(*.f64 (/.f64 b a) (/.f64 b a))

Samples

96.0ms

256×

valid

Compiler

Compiled 334 to 35 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sqrt: 24.0ms (36.5% of total)

ival-sub: 12.0ms (18.2% of total)

ival-div: 9.0ms (13.7% of total)

ival-mult: 9.0ms (13.7% of total)

ival-fabs: 6.0ms (9.1% of total)

ival-add: 4.0ms (6.1% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (1.6%)

Memory

-22.3MiB live, 74.1MiB allocated; 12ms collecting garbage

Counts

23 → 60

Calls

Call 1

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

Outputs
#s(approx (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (/ b a) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (+ 1 (/ (* (neg b) b) (* a a)))) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 1))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 1))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ 1 (/ (* (neg b) b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	a	@	0	((* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)) (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (+ 1 (/ (* (neg b) b) (* a a))) (/ (* (neg b) b) (* a a)) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (* (/ (+ b a) a) (/ (- a b) a)) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (/ (+ b a) a) (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) (neg b) (/ b a) (/ (- a b) a))
14.0ms	b	@	inf	((* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)) (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (+ 1 (/ (* (neg b) b) (* a a))) (/ (* (neg b) b) (* a a)) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (* (/ (+ b a) a) (/ (- a b) a)) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (/ (+ b a) a) (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) (neg b) (/ b a) (/ (- a b) a))
5.0ms	a	@	inf	((* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)) (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (+ 1 (/ (* (neg b) b) (* a a))) (/ (* (neg b) b) (* a a)) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (* (/ (+ b a) a) (/ (- a b) a)) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (/ (+ b a) a) (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) (neg b) (/ b a) (/ (- a b) a))
4.0ms	b	@	0	((* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)) (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (+ 1 (/ (* (neg b) b) (* a a))) (/ (* (neg b) b) (* a a)) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (* (/ (+ b a) a) (/ (- a b) a)) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (/ (+ b a) a) (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) (neg b) (/ b a) (/ (- a b) a))
4.0ms	b	@	-inf	((* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a)) (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (+ 1 (/ (* (neg b) b) (* a a))) (/ (* (neg b) b) (* a a)) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (* (/ (+ b a) a) (/ (- a b) a)) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (/ (+ b a) a) (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) (neg b) (/ b a) (/ (- a b) a))

simplify134.0ms (4.1%)

Memory

17.2MiB live, 212.4MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1311
1	452	1141
2	1735	1027
0	8673	1027

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
#s(approx (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) #s(hole binary64 (/ (pow b 4) (pow a 4))))
#s(approx (* (/ b a) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (sqrt (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))))) #s(hole binary64 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))))) #s(hole binary64 (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) #s(hole binary64 (sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(hole binary64 (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (+ 1 (/ (* (neg b) b) (* a a)))) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ (* (/ b a) (/ b a)) -1)) #s(hole binary64 (fabs (- (/ (pow b 2) (pow a 2)) 1))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ b a)))
#s(approx (/ (+ b a) a) #s(hole binary64 (/ (+ a b) a)))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 1))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 1))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (/ (+ b a) a) #s(hole binary64 1))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 1))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ 1 (/ (* (neg b) b) (* a a))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (+ 1 (/ (* (neg b) b) (* a a)))) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (/ (+ b a) a) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ (- 1 (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a)))) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (fabs (* (/ (+ b a) a) (/ (- a b) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))

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

rewrite97.0ms (3%)

Memory

-29.2MiB live, 65.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	302
0	65	307
1	259	183
0	2272	183

Stop Event

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

Counts

23 → 562

Calls

Call 1

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

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

eval86.0ms (2.6%)

Memory: 30.5MiB live, 124.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 235 to 2 245 computations (81.7% saved)

prune21.0ms (0.7%)

Memory

-19.3MiB live, 27.6MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	484	2	486
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	486	5	491

Accuracy

100.0%

Counts

491 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
✓	99.9%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
▶	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
✓	97.0%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify100.0ms (3.1%)

Memory

8.3MiB live, 101.9MiB allocated; 4ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 b) (*.f64 a a))
cost-diff	0	(fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
cost-diff	1	(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 a b)
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
cost-diff	1	(fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a)))
cost-diff	2	(*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	100
0	30	106
1	59	106
2	180	106
3	868	94
4	6150	94
0	8360	90

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (1.7%)

Memory

19.3MiB live, 71.3MiB allocated; 4ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 b)
accuracy	0.0	(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
accuracy	12.962335996095518	(/.f64 (neg.f64 b) (*.f64 a a))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
accuracy	0.02734375	(/.f64 (/.f64 (-.f64 a b) a) a)
accuracy	0.06640625	(/.f64 (-.f64 a b) a)
accuracy	0.2265625	(*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))

Samples

32.0ms

256×

valid

Compiler

Compiled 105 to 19 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 5.0ms (22.3% of total)

ival-fabs: 5.0ms (22.3% of total)

ival-mult: 4.0ms (17.8% of total)

ival-add: 3.0ms (13.4% of total)

ival-sqrt: 3.0ms (13.4% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (1.4%)

Memory

-29.1MiB live, 17.9MiB allocated; 3ms collecting garbage

Counts

11 → 47

Calls

Call 1

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

Outputs
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (neg b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 1))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 1))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	a	@	inf	((* (+ a b) (/ (/ (- a b) a) a)) (fabs (* (+ a b) (/ (/ (- a b) a) a))) (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) (+ a b) (fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (/ (- a b) a) (/ (/ (- a b) a) a) (neg b))
2.0ms	b	@	inf	((* (+ a b) (/ (/ (- a b) a) a)) (fabs (* (+ a b) (/ (/ (- a b) a) a))) (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) (+ a b) (fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (/ (- a b) a) (/ (/ (- a b) a) a) (neg b))
2.0ms	b	@	-inf	((* (+ a b) (/ (/ (- a b) a) a)) (fabs (* (+ a b) (/ (/ (- a b) a) a))) (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) (+ a b) (fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (/ (- a b) a) (/ (/ (- a b) a) a) (neg b))
2.0ms	a	@	0	((* (+ a b) (/ (/ (- a b) a) a)) (fabs (* (+ a b) (/ (/ (- a b) a) a))) (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) (+ a b) (fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (/ (- a b) a) (/ (/ (- a b) a) a) (neg b))
2.0ms	b	@	0	((* (+ a b) (/ (/ (- a b) a) a)) (fabs (* (+ a b) (/ (/ (- a b) a) a))) (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) (+ a b) (fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (/ (- a b) a) (/ (/ (- a b) a) a) (neg b))

simplify89.0ms (2.7%)

Memory

13.9MiB live, 106.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	858
1	370	742
2	1340	742
0	8381	721

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (/ (* (+ a b) (- a b)) (pow a 2)))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (neg b) (* a a)) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (/ b (pow a 2)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ (+ a (* -1 b)) (pow a 2))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 1))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (+ a b) #s(hole binary64 a))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 1))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ 1 a)))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (/ (+ 1 (* -1 (/ b a))) a)))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2))))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (* -1 (/ (* (+ b (* -1 a)) (- b (* -1 a))) (pow a 2)))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (/ (- (/ b a) 1) a))))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (+ (* -1 (/ b (pow a 2))) (/ 1 a))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (* (+ a b) (/ (/ (- a b) a) a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* b (/ (neg b) (* a a))) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* b (- (/ 1 (* a b)) (/ 1 (pow a 2))))))
#s(approx (fabs (* (+ a b) (/ (/ (- a b) a) a))) #s(hole binary64 (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))))
#s(approx (sqrt (fabs (* (+ a b) (/ (/ (- a b) a) a)))) #s(hole binary64 (sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (/ (/ (- a b) a) a) #s(hole binary64 (* -1 (* b (- (/ 1 (pow a 2)) (/ 1 (* a b)))))))

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

rewrite46.0ms (1.4%)

Memory

-4.4MiB live, 45.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	89
0	30	89
1	104	89
0	720	89

Stop Event

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

Counts

11 → 126

Calls

Call 1

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

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

eval47.0ms (1.4%)

Memory: -0.3MiB live, 46.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 839 to 643 computations (77.4% saved)

prune6.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	149	5	154

Accuracy

100.0%

Counts

154 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
✓	99.9%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
✓	99.7%	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))
✓	97.0%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))

Compiler

Compiled 204 to 102 computations (50% saved)

regimes23.0ms (0.7%)

Memory

-13.2MiB live, 33.0MiB allocated; 5ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	a
3.0ms	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
100.0%	1	`(*.f64 b b)`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(/.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	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes14.0ms (0.4%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes37.0ms (1.2%)

Memory

-29.7MiB live, 16.9MiB allocated; 2ms collecting garbage

Accuracy

Total -11.7b remaining (-607.9%)

Threshold costs -11.7b (-607.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

30.0ms	a
1.0ms	b
1.0ms	(*.f64 a a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
1.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f64 b b)`
97.0%	1	`(*.f64 a a)`
97.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.0%	1	`a`
97.0%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify48.0ms (1.5%)

Memory

26.0MiB live, 60.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	67
1	63	63
2	268	63
3	2267	63

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

derivations91.0ms (2.8%)

Memory

-12.4MiB live, 71.7MiB allocated; 17ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 67 to 24 computations (64.2% saved)

preprocess20.0ms (0.6%)

Memory

43.3MiB live, 43.3MiB allocated; 0ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 392 to 152 computations (61.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze12.0ms (0.4%)

sample1.3s (40.9%)

explain152.0ms (4.7%)

preprocess132.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify106.0ms (3.3%)

localize23.0ms (0.7%)

series6.0ms (0.2%)

simplify128.0ms (3.9%)

rewrite41.0ms (1.3%)

eval25.0ms (0.8%)

prune4.0ms (0.1%)

simplify166.0ms (5.1%)

localize117.0ms (3.6%)

series53.0ms (1.6%)

simplify134.0ms (4.1%)

rewrite97.0ms (3%)

eval86.0ms (2.6%)

prune21.0ms (0.7%)

simplify100.0ms (3.1%)

localize54.0ms (1.7%)

series44.0ms (1.4%)

simplify89.0ms (2.7%)

rewrite46.0ms (1.4%)

eval47.0ms (1.4%)

prune6.0ms (0.2%)

regimes23.0ms (0.7%)

regimes14.0ms (0.4%)

regimes37.0ms (1.2%)

simplify48.0ms (1.5%)

derivations91.0ms (2.8%)

preprocess20.0ms (0.6%)

end0.0ms (0%)

Profiling