Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze12.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB 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)

sample1.2s (28%)

Memory

7.3MiB live, 1 227.4MiB allocated; 205ms collecting garbage

Samples

747.0ms	8 256×	0	valid
60.0ms	839×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 539.0ms

ival-mult: 154.0ms (28.6% of total)

ival-<=: 101.0ms (18.8% of total)

ival-fabs: 93.0ms (17.3% of total)

ival-sqrt: 59.0ms (11% of total)

ival-div: 56.0ms (10.4% of total)

ival-sub: 38.0ms (7.1% of total)

ival-and: 19.0ms (3.5% of total)

exact: 12.0ms (2.2% of total)

adjust: 3.0ms (0.6% of total)

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

Bogosity

explain134.0ms (3.1%)

Memory

8.4MiB live, 143.7MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
53	-	-	`(/.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	53	0
↳	`(*.f64 b b)`	underflow	170
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	53
↳	`(*.f64 a a)`	underflow	53
↳	`(*.f64 a a)`	underflow	53

Confusion

	Predicted +	Predicted -
+	53	0
-	0	203

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	0
-	0	0	203

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	203
1	53

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

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

ival-sqrt: 18.0ms (48.7% of total)

ival-mult: 11.0ms (29.8% of total)

ival-div: 3.0ms (8.1% of total)

ival-sub: 2.0ms (5.4% of total)

ival-fabs: 2.0ms (5.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess123.0ms (2.8%)

Memory

9.0MiB live, 106.6MiB allocated; 15ms 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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.3%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify91.0ms (2.1%)

Memory

-10.7MiB live, 79.6MiB allocated; 9ms 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

localize105.0ms (2.4%)

Memory

-9.5MiB live, 64.4MiB allocated; 89ms 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	0.01171875	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.0234375	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	12.850093568118302	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

99.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (34.6% of total)

ival-sqrt: 2.0ms (23.1% of total)

ival-sub: 1.0ms (11.5% of total)

ival-div: 1.0ms (11.5% of total)

ival-fabs: 1.0ms (11.5% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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)))

simplify123.0ms (2.8%)

Memory

5.8MiB live, 101.3MiB allocated; 14ms 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)))

rewrite56.0ms (1.3%)

Memory

-15.3MiB live, 30.1MiB allocated; 2ms 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))

eval10.0ms (0.2%)

Memory: 12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 580 to 416 computations (73.7% saved)

prune5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Accuracy

100.0%

Counts

91 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
✓	79.3%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
	32.2%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- (* a a) (* b b)) (.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal -1 binary64)) (.f64 b b))) (*.f64 a a))))
▶	79.3%	(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))))
▶	96.7%	(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 215 to 142 computations (34% saved)

simplify155.0ms (3.5%)

Memory

-27.1MiB live, 157.1MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	263
0	67	256
1	135	238
2	463	238
3	3722	238
0	8799	238

Stop Event

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

Calls

Call 1

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

localize105.0ms (2.4%)

Memory

3.6MiB live, 151.5MiB allocated; 9ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (+.f64 b a) a)
accuracy	0.0234375	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
accuracy	0.03125	(/.f64 (-.f64 a b) a)
accuracy	0.04296875	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
accuracy	0.0	(fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))
accuracy	0.0	(fabs.f64 a)
accuracy	0.015625	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (fabs.f64 a))
accuracy	12.653403675547999	(sqrt.f64 (fabs.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))))
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	0.0234375	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
accuracy	27.690211996462256	(/.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	0.0234375	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	2.2070336264970676	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
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	0.0234375	(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)))))

Samples

82.0ms

256×

valid

Compiler

Compiled 245 to 36 computations (85.3% saved)

Precisions

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

ival-mult: 24.0ms (36.6% of total)

ival-fabs: 17.0ms (25.9% of total)

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

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

ival-add: 5.0ms (7.6% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 2.0ms (3% 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)

series37.0ms (0.8%)

Memory

8.0MiB live, 53.7MiB allocated; 6ms collecting garbage

Counts

23 → 63

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	0	((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) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (fabs a) (/ (- a b) a))
7.0ms	b	@	inf	((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) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (fabs a) (/ (- a b) a))
5.0ms	a	@	inf	((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) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (fabs a) (/ (- a b) a))
5.0ms	a	@	0	((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) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (fabs a) (/ (- a b) a))
4.0ms	a	@	-inf	((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) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs a)) (sqrt (fabs (+ (* (neg a) a) (* b b)))) (fabs (+ (* (neg a) a) (* b b))) (+ (* (neg a) a) (* b b)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (fabs a) (/ (- a b) a))

simplify112.0ms (2.6%)

Memory

11.2MiB live, 154.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1217
1	463	1076
2	1760	1075
0	8601	1041

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite90.0ms (2.1%)

Memory

-14.8MiB live, 86.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
0	67	221
1	240	184
0	1925	184

Stop Event

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

Counts

23 → 395

Calls

Call 1

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

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

eval40.0ms (0.9%)

Memory: -20.5MiB live, 71.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 186 to 1 327 computations (78.5% saved)

prune8.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	308	6	314
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	312	9	321

Accuracy

100.0%

Counts

321 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (fabs.f64 a))
▶	79.6%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (fabs.f64 a))
▶	79.9%	(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 (+.f64 b a) a) #s(approx (/ (- a b) a) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)))))
▶	94.6%	(sqrt.f64 (fabs.f64 (*.f64 #s(approx (/ (+ b a) a) #s(literal 1 binary64)) (/.f64 (-.f64 a b) a))))
✓	96.7%	(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)))))
	6.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 #s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (/.f64 (/.f64 b a) a) b)))))

Compiler

Compiled 261 to 174 computations (33.3% saved)

simplify140.0ms (3.2%)

Memory

-4.9MiB live, 138.4MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	310
0	73	310
1	134	310
2	374	310
3	1521	310
4	7611	310
0	8009	308

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (2.6%)

Memory

2.7MiB live, 148.3MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 a)
accuracy	0.01171875	(fma.f64 b b (*.f64 (neg.f64 a) a))
accuracy	0.015625	(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a)))) (fabs.f64 a))
accuracy	12.653403675547999	(sqrt.f64 (fabs.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
accuracy	0.0	(fabs.f64 a)
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.015625	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (fabs.f64 a))
accuracy	12.653403675547999	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
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	0.0234375	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
accuracy	12.995937958770538	(/.f64 (neg.f64 b) (*.f64 a a))
accuracy	0.0234375	(sqrt.f64 (fabs.f64 (*.f64 #s(approx (/ (+ b a) a) #s(literal 1 binary64)) (/.f64 (-.f64 a b) a))))
accuracy	0.03125	(/.f64 (-.f64 a b) a)
accuracy	0.04296875	(*.f64 #s(approx (/ (+ b a) a) #s(literal 1 binary64)) (/.f64 (-.f64 a b) a))
accuracy	3.4621395007727886	#s(approx (/ (+ b a) a) #s(literal 1 binary64))
accuracy	0.015625	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
accuracy	0.0234375	(sqrt.f64 (fabs.f64 (.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)))))
accuracy	0.04296875	(.f64 (/.f64 (+.f64 b a) a) #s(approx (/ (- a b) a) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)))
accuracy	0.16796875	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)

Samples

71.0ms

256×

valid

Compiler

Compiled 271 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 20.0ms (36.9% of total)

ival-mult: 15.0ms (27.6% of total)

ival-sqrt: 6.0ms (11.1% of total)

ival-fabs: 5.0ms (9.2% of total)

ival-add: 4.0ms (7.4% of total)

ival-sub: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% 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)

series27.0ms (0.6%)

Memory

-6.1MiB live, 40.5MiB allocated; 4ms collecting garbage

Counts

25 → 82

Calls

Call 1

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

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

Calls

6 calls:

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

simplify122.0ms (2.8%)

Memory

-1.4MiB live, 142.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	1534
1	596	1360
2	2334	1356
0	8400	1333

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

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

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

rewrite162.0ms (3.7%)

Memory

21.6MiB live, 215.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	73	248
1	232	248
2	1619	223
0	9437	203

Stop Event

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

Counts

25 → 1 698

Calls

Call 1

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

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

eval189.0ms (4.3%)

Memory: 18.9MiB live, 212.8MiB allocated; 59ms collecting garbage
Compiler: Compiled 20 874 to 3 169 computations (84.8% saved)

prune32.0ms (0.7%)

Memory

11.9MiB live, 55.2MiB allocated; 10ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	767	3	770
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	770	9	779

Accuracy

100.0%

Counts

779 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (fabs.f64 a))
▶	79.6%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 a))
▶	94.6%	(sqrt.f64 (/.f64 (*.f64 (-.f64 a b) #s(approx (/ (+ b a) a) #s(literal 1 binary64))) a))
✓	79.9%	(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 (+.f64 b a) a) #s(approx (/ (- a b) a) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)))))
✓	96.7%	(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)))))
▶	6.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 #s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (/.f64 (/.f64 b a) a) b)))))

Compiler

Compiled 153 to 100 computations (34.6% saved)

simplify130.0ms (3%)

Memory

28.6MiB live, 71.9MiB allocated; 14ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	237
0	56	237
1	112	233
2	360	233
3	3007	233
0	8103	227

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (3.9%)

Memory

-41.3MiB live, 73.4MiB allocated; 43ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 a)
accuracy	0.01171875	(fma.f64 (neg.f64 b) b (*.f64 a a))
accuracy	0.015625	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (fabs.f64 a))
accuracy	12.653403675547999	(sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))
accuracy	0.0	(fabs.f64 a)
accuracy	0.00390625	(*.f64 (-.f64 a b) (+.f64 a b))
accuracy	0.015625	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 a))
accuracy	12.653403675547999	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
accuracy	0.0234375	(sqrt.f64 (/.f64 (*.f64 (-.f64 a b) #s(approx (/ (+ b a) a) #s(literal 1 binary64))) a))
accuracy	0.02734375	(/.f64 (*.f64 (-.f64 a b) #s(approx (/ (+ b a) a) #s(literal 1 binary64))) a)
accuracy	0.03125	(*.f64 (-.f64 a b) #s(approx (/ (+ b a) a) #s(literal 1 binary64)))
accuracy	3.4621395007727886	#s(approx (/ (+ b a) a) #s(literal 1 binary64))
accuracy	0.0234375	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 #s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (/.f64 (/.f64 b a) a) b)))))
accuracy	0.21484375	(*.f64 (/.f64 (/.f64 b a) a) b)
accuracy	0.23046875	(/.f64 (/.f64 b a) a)
accuracy	62.45653272105169	#s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (/.f64 (/.f64 b a) a) b))

Samples

97.0ms

256×

valid

Compiler

Compiled 180 to 34 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sqrt: 40.0ms (54.9% of total)

ival-div: 10.0ms (13.7% of total)

ival-mult: 10.0ms (13.7% of total)

ival-add: 4.0ms (5.5% of total)

ival-fabs: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.4% 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)

series34.0ms (0.8%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

19 → 172

Calls

Call 1

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

Outputs
#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 (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 (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (* b (sqrt -1)) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (sqrt -1))))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (* (fabs a) (pow (sqrt -1) 5))))) (* 1/8 (/ 1 (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (/ b a) a) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* (/ (/ b a) a) b) #s(hole binary64 (/ (pow b 2) (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 (fabs a) #s(hole binary64 (fabs a)))
#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 (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 1))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 1))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 a))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* a (+ 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 (* -1 (/ b a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (/ a (fabs a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (/ 1 (fabs a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (+ (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (* (pow a 2) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (* (pow a 3) (fabs a)))) (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (+ (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (* (pow a 2) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 a))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (/ a (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (/ 1 (fabs a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (+ (* -1/16 (/ (pow b 6) (* (pow a 6) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 a))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (+ b a) a) #s(hole binary64 1))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (pow (sqrt -1) 2)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (/ (* a (pow (sqrt -1) 2)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (fabs a)))) (* 1/2 (/ (+ b (* -1 b)) (fabs a)))) a)) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (* (fabs a) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (fabs a)))) a)) (* 1/2 (/ (+ b (* -1 b)) (fabs a)))) a)) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (+ (* -1/16 (/ (pow b 6) (* (pow a 6) (fabs a)))) (/ 1 (fabs a)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (* b (+ a (* -1 a))) (* a (fabs a)))) (/ a (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (* a (fabs a)))) (* 1/2 (/ (+ a (* -1 a)) (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (fabs a)))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (* a (fabs a)))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (* (pow a 3) (fabs a)))))))) (/ a (fabs a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (* a (fabs a)))) (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow b 2) (- (* -1/8 (/ (pow b 2) (* (pow a 3) (fabs a)))) (* 1/2 (/ 1 (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (* (pow a 5) (fabs a)))) (* 1/8 (/ 1 (* (pow a 3) (fabs a)))))) (* 1/2 (/ 1 (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) a))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (fabs a) (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	b	@	inf	((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) (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/ (* (- a b) (/ (+ b a) a)) a) (* (- a b) (/ (+ b a) a)) (- a b) (/ (sqrt (* (- a b) (+ a b))) (fabs a)) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (/ (/ b a) a) (* (/ (/ b a) a) b) (/ (+ b a) a) (fabs a))
5.0ms	a	@	-inf	((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) (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/ (* (- a b) (/ (+ b a) a)) a) (* (- a b) (/ (+ b a) a)) (- a b) (/ (sqrt (* (- a b) (+ a b))) (fabs a)) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (/ (/ b a) a) (* (/ (/ b a) a) b) (/ (+ b a) a) (fabs a))
4.0ms	a	@	0	((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) (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/ (* (- a b) (/ (+ b a) a)) a) (* (- a b) (/ (+ b a) a)) (- a b) (/ (sqrt (* (- a b) (+ a b))) (fabs a)) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (/ (/ b a) a) (* (/ (/ b a) a) b) (/ (+ b a) a) (fabs a))
4.0ms	b	@	0	((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) (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/ (* (- a b) (/ (+ b a) a)) a) (* (- a b) (/ (+ b a) a)) (- a b) (/ (sqrt (* (- a b) (+ a b))) (fabs a)) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (/ (/ b a) a) (* (/ (/ b a) a) b) (/ (+ b a) a) (fabs a))
4.0ms	b	@	-inf	((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) (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/ (* (- a b) (/ (+ b a) a)) a) (* (- a b) (/ (+ b a) a)) (- a b) (/ (sqrt (* (- a b) (+ a b))) (fabs a)) (sqrt (* (- a b) (+ a b))) (* (- a b) (+ a b)) (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (sqrt (+ (* (neg b) b) (* a a))) (+ (* (neg b) b) (* a a)) (neg b) (/ (/ b a) a) (* (/ (/ b a) a) b) (/ (+ b a) a) (fabs a))

simplify176.0ms (4%)

Memory

-36.8MiB live, 106.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	858	5853
1	2703	5605
0	8373	5210

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 172

Calls

Call 1

Inputs
#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 (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 (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (* b (sqrt -1)) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (sqrt -1))))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (* (fabs a) (pow (sqrt -1) 5))))) (* 1/8 (/ 1 (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (/ (/ b a) a) #s(hole binary64 (/ b (pow a 2))))
#s(approx (* (/ (/ b a) a) b) #s(hole binary64 (/ (pow b 2) (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 (fabs a) #s(hole binary64 (fabs a)))
#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 (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 1))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 1))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (/ b a)))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 a))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* a (+ 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 (* -1 (/ b a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (/ a (fabs a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (/ 1 (fabs a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (+ (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (* (pow a 2) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* a (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (* (pow a 3) (fabs a)))) (+ (* 1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (+ (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (* (pow a 2) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 a))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (/ a (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (/ 1 (fabs a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (+ (* -1/16 (/ (pow b 6) (* (pow a 6) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 a))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (+ b a) a) #s(hole binary64 1))
#s(approx (/ (+ b a) a) #s(hole binary64 (+ 1 (/ b a))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (pow (sqrt -1) 2)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (/ (* a (pow (sqrt -1) 2)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) (* a (fabs a)))) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (* a (fabs a)))) (* 1/2 (/ (+ b (* -1 b)) (fabs a)))) a)) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (* (fabs a) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) (fabs a)))) a)) (* 1/2 (/ (+ b (* -1 b)) (fabs a)))) a)) (/ (pow (sqrt -1) 2) (fabs a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (/ 1 (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (/ 1 (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) (fabs a)))) (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (fabs a)))) (+ (* -1/16 (/ (pow b 6) (* (pow a 6) (fabs a)))) (/ 1 (fabs a)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (* b (+ a (* -1 a))) (* a (fabs a)))) (/ a (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (* a (fabs a)))) (* 1/2 (/ (+ a (* -1 a)) (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (fabs a)))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (* a (fabs a)))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (* (pow a 3) (fabs a)))))))) (/ a (fabs a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (* a (fabs a)))) (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow b 2) (- (* -1/8 (/ (pow b 2) (* (pow a 3) (fabs a)))) (* 1/2 (/ 1 (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (* (pow a 5) (fabs a)))) (* 1/8 (/ 1 (* (pow a 3) (fabs a)))))) (* 1/2 (/ 1 (* a (fabs a)))))) (/ a (fabs a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))))
#s(approx (neg b) #s(hole binary64 (* -1 b)))
#s(approx (+ (* (/ b a) (/ b a)) -1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) a))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (fabs a) (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))

Outputs
#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 (/.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (.f64 a a))))
#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))) (/.f64 (fabs.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (.f64 a a)))
#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 b a) (/.f64 b a) #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) (*.f64 (/.f64 (/.f64 b a) a) b))
#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) (/.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (.f64 a a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (* b (sqrt -1)) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) a (.f64 #s(literal 0 binary64) b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) a (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64)))) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64))) a (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 0 binary64) b) b))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) (*.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) (/.f64 (.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 b)) b) (.f64 a a)))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))))
#s(approx (/ (* (- a b) (/ (+ b a) a)) a) (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (.f64 (neg.f64 b) b)) (.f64 a a)))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (- a b) (/ (+ b a) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (- a b) (/ (+ b a) a)) (/.f64 (*.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 b)) b) a))
#s(approx (* (- a b) (/ (+ b a) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (* (- a b) (/ (+ b a) a)) (/.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (*.f64 (neg.f64 b) b)) a))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- a b) (-.f64 a b))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (fabs.f64 a))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) a (.f64 #s(literal 0 binary64) b)) (.f64 (.f64 b (fabs.f64 a)) (sqrt.f64 #s(literal -1 binary64))))) a (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (* (fabs a) (sqrt -1))))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (sqrt -1))))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (fabs.f64 a))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) #s(literal -1/4 binary64))) a (/.f64 (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/2 binary64)) (.f64 (.f64 b (fabs.f64 a)) (sqrt.f64 #s(literal -1 binary64))))) a (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) a (.f64 #s(literal 0 binary64) b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) a (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) b) a) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64)))) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 b b)) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64))) a (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 0 binary64) b) b))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 b)) b))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (+ (* (neg b) b) (* a a)) (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (*.f64 (neg.f64 b) b)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (/ (* b (sqrt -1)) (fabs a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (* (fabs a) (sqrt -1))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b (fabs.f64 a))) (/.f64 (.f64 a a) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (.f64 a a) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b (fabs.f64 a)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 a a) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (+ (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (* (fabs a) (pow (sqrt -1) 5))))) (* 1/8 (/ 1 (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))))) (* 1/2 (/ 1 (* b (* (fabs a) (sqrt -1))))))) (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (fabs.f64 a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 b (fabs.f64 a)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 a a) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (fabs.f64 a))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a a) b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64)))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (+ (* (neg b) b) (* a a)) (*.f64 (neg.f64 b) b))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (+ (* -1 (pow b 2)) (pow a 2))))
#s(approx (+ (* (neg b) b) (* a a)) (fma.f64 (neg.f64 b) b (*.f64 a a)))
#s(approx (/ (/ b a) a) #s(hole binary64 (/ b (pow a 2))))
#s(approx (/ (/ b a) a) (/.f64 (/.f64 b a) a))
#s(approx (* (/ (/ b a) a) b) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (* (/ (/ b a) a) b) (*.f64 (/.f64 (/.f64 b a) a) b))
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#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
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#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (/.f64 a b)) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) a)) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 b b))) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (+ (* (neg b) b) (* a a)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (+ (* (neg b) b) (* a a)) (.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 a b) (.f64 (/.f64 a b) (/.f64 a b))) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))) b))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a)))) b))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (fabs.f64 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))))) b))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (+ (* (neg b) b) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (+ (* (neg b) b) (* a a)) (.f64 (-.f64 (.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (+ b a) a) #s(hole binary64 (* b (+ (/ 1 a) (/ 1 b)))))
#s(approx (/ (+ b a) a) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) a))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (*.f64 (neg.f64 b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 (*.f64 #s(literal 0 binary64) a) a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 b)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a b)) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) a) a))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 b)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 0 binary64) a) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a b)) (/.f64 (.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) #s(literal 1/2 binary64))) (neg.f64 b))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 b)))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (- a b) (*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 b)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (*.f64 (neg.f64 b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* b (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b (fabs.f64 a))) (/.f64 (*.f64 #s(literal 0 binary64) a) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))) (neg.f64 b)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (* (fabs a) (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 b (fabs.f64 a))) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) a)) (.f64 (fabs.f64 a) (sqrt.f64 #s(literal -1 binary64))))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))) (neg.f64 b)))
#s(approx (/ (sqrt (* (- a b) (+ a b))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (* (fabs a) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (fabs a) (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* (fabs a) (sqrt -1))))) b)) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 a)) (/.f64 (.f64 #s(literal 0 binary64) a) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 b (fabs.f64 a))) (/.f64 (.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 a)) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (*.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b))) b) #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))) (neg.f64 b)))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (/.f64 a b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) a)) (sqrt.f64 #s(literal -1 binary64)))) b) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (sqrt (* (- a b) (+ a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (neg.f64 b))) b) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (+ (* (neg b) b) (* a a)) (.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (- a b) (+ a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (+ (* (neg b) b) (* a a)) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) a (/.f64 (.f64 (neg.f64 a) a) b)) (neg.f64 b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (/ (* b (sqrt -1)) (fabs a)))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (*.f64 (neg.f64 b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))) (neg.f64 b)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a)))) (neg.f64 b)))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (* (fabs a) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (* (fabs a) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (pow a 2) (* (pow b 2) (* (fabs a) (sqrt -1))))) (/ (sqrt -1) (fabs a)))))))))
#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (fabs.f64 a) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (fabs.f64 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) (/.f64 a (fabs.f64 a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 a))))) (neg.f64 b)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (+ (* (neg b) b) (* a a))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b) (/.f64 a b)) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)))

rewrite101.0ms (2.3%)

Memory

42.8MiB live, 88.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	214
0	56	196
1	205	182
0	1690	182

Stop Event

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

Counts

19 → 300

Calls

Call 1

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

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

eval66.0ms (1.5%)

Memory: -12.4MiB live, 79.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 412 to 1 772 computations (84.5% saved)

prune57.0ms (1.3%)

Memory

-15.2MiB live, 33.6MiB allocated; 52ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	402	4	406
Fresh	0	0	0
Picked	1	3	4
Done	2	3	5
Total	405	10	415

Accuracy

100.0%

Counts

415 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.6%	(/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 a))
	98.1%	(/.f64 #s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) a)) (fabs.f64 a))
	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (sqrt.f64 (+.f64 b a)) (fabs.f64 a)))
✓	94.6%	(sqrt.f64 (/.f64 (*.f64 (-.f64 a b) #s(approx (/ (+ b a) a) #s(literal 1 binary64))) a))
✓	79.9%	(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))))
✓	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)))))
✓	6.4%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 #s(approx (+ (* (/ b a) (/ b a)) -1) (*.f64 (/.f64 (/.f64 b a) a) b)))))
	96.4%	#s(approx (/ (sqrt (+ (* (neg b) b) (* a a))) (fabs a)) (*.f64 a (/.f64 #s(literal 1 binary64) (fabs.f64 a))))
	96.7%	#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(literal 1 binary64))

Compiler

Compiled 491 to 235 computations (52.1% saved)

regimes41.0ms (0.9%)

Memory

-1.4MiB live, 48.5MiB allocated; 6ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

13.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
5.0ms	b
5.0ms	a
5.0ms	(*.f64 a a)
4.0ms	(sqrt.f64 (fabs.f64 (/.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)

regimes26.0ms (0.6%)

Memory

-8.4MiB live, 39.1MiB allocated; 1ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f64 b b)`
98.1%	1	`(*.f64 a a)`
98.1%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.1%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.1%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.1%	1	`a`
98.1%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.3%)

Memory

28.0MiB live, 28.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`(*.f64 b b)`
99.0%	2	`(*.f64 a a)`
99.0%	2	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
99.0%	2	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
99.0%	2	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
99.0%	2	`a`
99.0%	2	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes13.0ms (0.3%)

Memory

-21.3MiB live, 26.1MiB allocated; 2ms collecting garbage

Accuracy

Total -1.5b remaining (-69.7%)

Threshold costs -1.5b (-69.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`(*.f64 b b)`
96.7%	1	`(*.f64 a a)`
96.7%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
96.7%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
96.7%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
96.7%	1	`a`
96.7%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch8.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.677202575946201e-176	1.4275918466879334e-175

Samples

4.0ms

80×

valid

Compiler

Compiled 141 to 113 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (36.8% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

simplify42.0ms (1%)

Memory

-3.0MiB live, 45.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	86
1	82	80
2	298	80
3	2556	80

Stop Event

1×	node limit

Calls

Call 1

Inputs
(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)))))
(/.f64 #s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) a)) (fabs.f64 a))
(if (<=.f64 b #s(literal 1247542356381069/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(literal 1 binary64))

Outputs
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(/.f64 #s(approx (sqrt (+ (* (neg b) b) (* a a))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a) a)) (fabs.f64 a))
(if (<=.f64 b #s(literal 1247542356381069/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (fabs.f64 a)))
#s(approx (sqrt (/ (* (- a b) (/ (+ b a) a)) a)) #s(literal 1 binary64))

derivations249.0ms (5.7%)

Memory

-13.1MiB live, 177.6MiB allocated; 7ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 87 to 40 computations (54% saved)

preprocess22.0ms (0.5%)

Memory

35.1MiB live, 35.1MiB allocated; 0ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 292 to 148 computations (49.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.3%)

sample1.2s (28%)

explain134.0ms (3.1%)

preprocess123.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify91.0ms (2.1%)

localize105.0ms (2.4%)

series6.0ms (0.1%)

simplify123.0ms (2.8%)

rewrite56.0ms (1.3%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

simplify155.0ms (3.5%)

localize105.0ms (2.4%)

series37.0ms (0.8%)

simplify112.0ms (2.6%)

rewrite90.0ms (2.1%)

eval40.0ms (0.9%)

prune8.0ms (0.2%)

simplify140.0ms (3.2%)

localize114.0ms (2.6%)

series27.0ms (0.6%)

simplify122.0ms (2.8%)

rewrite162.0ms (3.7%)

eval189.0ms (4.3%)

prune32.0ms (0.7%)

simplify130.0ms (3%)

localize171.0ms (3.9%)

series34.0ms (0.8%)

simplify176.0ms (4%)

rewrite101.0ms (2.3%)

eval66.0ms (1.5%)

prune57.0ms (1.3%)

regimes41.0ms (0.9%)

regimes26.0ms (0.6%)

regimes13.0ms (0.3%)

regimes13.0ms (0.3%)

bsearch8.0ms (0.2%)

simplify42.0ms (1%)

derivations249.0ms (5.7%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling