Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze15.0ms (0.9%)

Memory

-26.7MiB live, 19.5MiB allocated; 5ms 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)

sample890.0ms (51.9%)

Memory

8.6MiB live, 1 387.0MiB allocated; 223ms collecting garbage

Samples

518.0ms	8 256×	0	valid
48.0ms	807×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult!: 91.0ms (29.1% of total)

ival-sqrt: 89.0ms (28.4% of total)

ival-fabs: 58.0ms (18.5% of total)

ival-div!: 40.0ms (12.8% of total)

ival-sub!: 19.0ms (6.1% of total)

ival-<=: 10.0ms (3.2% of total)

ival-and: 4.0ms (1.3% of total)

adjust: 2.0ms (0.6% of total)

ival-assert: 1.0ms (0.3% of total)

Bogosity

explain85.0ms (5%)

Memory

16.7MiB live, 159.2MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
50	-	-	`(/.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	50	0
↳	`(*.f64 b b)`	underflow	179
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	50
↳	`(*.f64 a a)`	underflow	50
↳	`(*.f64 a a)`	underflow	50

Confusion

	Predicted +	Predicted -
+	50	0
-	0	206

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	50	0	0
-	0	0	206

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	206
1	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult!: 5.0ms (33.9% of total)

ival-fabs: 3.0ms (20.4% of total)

ival-sqrt: 3.0ms (20.4% of total)

ival-div!: 2.0ms (13.6% of total)

ival-sub!: 1.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

preprocess33.0ms (1.9%)

Memory

-21.1MiB live, 28.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	99	68
2	621	68
3	5836	68

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series8.0ms (0.5%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

8 → 17

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (- (* a a) (* b b)) (* a a) a (* b b) b)

rewrite78.0ms (4.6%)

Memory

-5.2MiB live, 89.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	332
0	64	323
1	224	292
0	1833	291

Stop Event

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

Counts

25 → 233

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

Outputs
(*.f64 (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) #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 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #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 (+.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 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(*.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
(/.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 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))))
(/.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 (.f64 (.f64 a a) (.f64 (neg.f64 a) a)) (neg.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)))) (.f64 (.f64 a a) (*.f64 (neg.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 (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 b) b))) (.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (fma.f64 (.f64 (neg.f64 b) b) #s(literal 2 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 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 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b 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 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 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #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 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 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (neg.f64 a)) (/.f64 #s(literal -1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 a)) (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (/.f64 #s(literal -1 binary64) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal -1 binary64) a) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a)))) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) (/.f64 b a)))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 b b) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (/.f64 b a) (/.f64 b a))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)))
(+.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal 1 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 (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 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (pow.f64 b #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 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (neg.f64 b) b (*.f64 (neg.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))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64) (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))))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 b) (.f64 a a))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b) (.f64 a a))
(fma.f64 (.f64 #s(literal -1 binary64) b) b (.f64 a a))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (.f64 #s(literal 1 binary64) (fabs.f64 a)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) a) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal 1 binary64) a) a (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) a) a (.f64 (neg.f64 b) b))
(fma.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 a #s(literal 1 binary64)) (.f64 a #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 a #s(literal 1 binary64)) (.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(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 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal -1 binary64)) (.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal -1 binary64)) (.f64 a a))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (.f64 b b) (.f64 a a))
(fma.f64 (.f64 b b) #s(literal -1 binary64) (.f64 a a))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (neg.f64 b) b))
(fma.f64 b (.f64 b #s(literal -1 binary64)) (.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 a (.f64 a #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(fma.f64 a (.f64 a #s(literal 1 binary64)) (.f64 (neg.f64 b) b))
(fma.f64 a a (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(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 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 b) b (.f64 (neg.f64 a) a))))
(-.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (.f64 a a) (.f64 (*.f64 (neg.f64 b) b) #s(literal -1 binary64)))
(-.f64 (.f64 a a) (.f64 b b))
(+.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 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (*.f64 (neg.f64 b) b) #s(literal 1 binary64)))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (*.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))
(.f64 (.f64 #s(literal 1 binary64) a) a)
(.f64 (.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)))
(.f64 (.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 a (.f64 a #s(literal 1 binary64)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 a a) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 a a)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 b) #s(literal 1 binary64)) (*.f64 (fabs.f64 b) #s(literal 1 binary64)))
(.f64 (.f64 b #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 b (.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b
#s(approx (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (sqrt.f64 (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)))
#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)) (*.f64 (neg.f64 b) b))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
#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)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (.f64 (.f64 a a) (neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))))
#s(approx (- (* a a) (* b b)) (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (/ (- (* a a) (* b b)) (* a a)) (.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (.f64 b b)))
#s(approx (- (* a a) (* b b)) (.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b)))

eval32.0ms (1.9%)

Memory: 18.2MiB live, 64.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 591 to 1 199 computations (73.9% saved)

prune5.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	4	266

Accuracy

100.0%

Counts

266 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.3%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
▶	78.7%	(sqrt.f64 (fabs.f64 (.f64 (+.f64 b a) (/.f64 (-.f64 a b) (.f64 a a)))))
▶	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 60 to 41 computations (31.7% saved)

series39.0ms (2.3%)

Memory

-29.5MiB live, 67.2MiB allocated; 7ms collecting garbage

Counts

27 → 77

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) b a (/ (- a b) (* a a)) (- a b) (* a a) (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (/ (pow b 4) (pow a 4)) (pow b 4) 4 (pow a 4) (+ 1 (* (/ b a) (/ b a))))
8.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) b a (/ (- a b) (* a a)) (- a b) (* a a) (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (/ (pow b 4) (pow a 4)) (pow b 4) 4 (pow a 4) (+ 1 (* (/ b a) (/ b a))))
6.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) b a (/ (- a b) (* a a)) (- a b) (* a a) (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (/ (pow b 4) (pow a 4)) (pow b 4) 4 (pow a 4) (+ 1 (* (/ b a) (/ b a))))
5.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) b a (/ (- a b) (* a a)) (- a b) (* a a) (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (/ (pow b 4) (pow a 4)) (pow b 4) 4 (pow a 4) (+ 1 (* (/ b a) (/ b a))))
4.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (* (+ b a) (/ (- a b) (* a a))))) (fabs (* (+ b a) (/ (- a b) (* a a)))) (* (+ b a) (/ (- a b) (* a a))) (+ b a) b a (/ (- a b) (* a a)) (- a b) (* a a) (sqrt (fabs (- (* (/ b a) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (/ (pow b 4) (pow a 4)) (pow b 4) 4 (pow a 4) (+ 1 (* (/ b a) (/ b a))))

rewrite57.0ms (3.3%)

Memory

32.1MiB live, 78.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1712
0	278	1535
0	1158	1527

Stop Event

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

Counts

104 → 168

Calls

Call 1

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

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

eval18.0ms (1.1%)

Memory: -9.4MiB live, 37.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 433 to 803 computations (76.6% saved)

prune5.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	162	3	165

Accuracy

100.0%

Counts

165 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

99.7%

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

▶

100.0%

(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))

✓

98.7%

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series63.0ms (3.7%)

Memory

-31.6MiB live, 28.6MiB allocated; 60ms collecting garbage

Counts

15 → 29

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 b a)
b
a
#s(literal 2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))))
(/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 b a))

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

Calls

6 calls:

Time	Variable		Point	Expression
53.0ms	a	@	inf	((sqrt (fabs (- (pow (/ b a) 2) 1))) (fabs (- (pow (/ b a) 2) 1)) (- (pow (/ b a) 2) 1) (pow (/ b a) 2) (/ b a) b a 2 1 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))
2.0ms	b	@	inf	((sqrt (fabs (- (pow (/ b a) 2) 1))) (fabs (- (pow (/ b a) 2) 1)) (- (pow (/ b a) 2) 1) (pow (/ b a) 2) (/ b a) b a 2 1 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))
2.0ms	b	@	-inf	((sqrt (fabs (- (pow (/ b a) 2) 1))) (fabs (- (pow (/ b a) 2) 1)) (- (pow (/ b a) 2) 1) (pow (/ b a) 2) (/ b a) b a 2 1 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))
2.0ms	a	@	0	((sqrt (fabs (- (pow (/ b a) 2) 1))) (fabs (- (pow (/ b a) 2) 1)) (- (pow (/ b a) 2) 1) (pow (/ b a) 2) (/ b a) b a 2 1 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))
2.0ms	a	@	-inf	((sqrt (fabs (- (pow (/ b a) 2) 1))) (fabs (- (pow (/ b a) 2) 1)) (- (pow (/ b a) 2) 1) (pow (/ b a) 2) (/ b a) b a 2 1 (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))) (* (/ b a) (/ b a)))

rewrite122.0ms (7.1%)

Memory

39.4MiB live, 164.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	718
0	111	610
1	443	500
0	3318	500

Stop Event

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

Counts

44 → 342

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/2 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 (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)))))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (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 (+.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.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))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.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 (-.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #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 (+.f64 (/.f64 b a) #s(literal 1 binary64)) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal -1 binary64)) (.f64 a a))
(/.f64 (/.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)) a) a)
(/.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) (neg.f64 (pow.f64 a #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (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 (+.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a) a) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 a) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (.f64 a a) #s(literal 2 binary64))) (.f64 (.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 a) a) a (.f64 (.f64 a a) (.f64 (/.f64 b a) b))) (.f64 (.f64 a a) a))
(/.f64 (+.f64 (neg.f64 (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.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 (fma.f64 (neg.f64 b) b (.f64 a a)) (.f64 (neg.f64 a) a))
(/.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (.f64 a a)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (*.f64 a a)))
(/.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (.f64 a a))
(/.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))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) b) b #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)) #s(literal -1 binary64))
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(/.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (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 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 (.f64 b a) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64)))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (*.f64 a a)))
(/.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))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a a (.f64 b b))) (.f64 a a)))
(neg.f64 (/.f64 (fma.f64 a a (.f64 b b)) (.f64 (neg.f64 a) a)))
(fma.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) b) b #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 b a)) (.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) (.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 b a) #s(literal 1 binary64)) (.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 a a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (/.f64 (.f64 b b) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 b a))) (neg.f64 (fabs.f64 (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 b a))) (fabs.f64 (fabs.f64 (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (*.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (*.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (pow.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal 1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 b (*.f64 b (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 b) b) (pow.f64 b #s(literal -2 binary64))))
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) b) b)
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) a)) (/.f64 (neg.f64 b) a))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 b a))) (fabs.f64 (/.f64 b a)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 b a)) (*.f64 #s(literal 1 binary64) (/.f64 b a)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 b a)) (/.f64 b a))
(.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 (.f64 (/.f64 b a) #s(literal 1 binary64)) (*.f64 (/.f64 b a) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 b b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (/.f64 (*.f64 b b) #s(literal -1 binary64)))
(*.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 (exp.f64 (log.f64 (/.f64 b a))) (exp.f64 (log.f64 (/.f64 b a))))
(.f64 (/.f64 (neg.f64 b) a) (.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(.f64 (fabs.f64 (/.f64 b a)) (.f64 (fabs.f64 (/.f64 b a)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)))
(.f64 (pow.f64 a #s(literal -2 binary64)) (.f64 b b))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(.f64 (.f64 b b) (pow.f64 a #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(.f64 (/.f64 b a) (.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 b (/.f64 (/.f64 b a) a))
(.f64 b (/.f64 b (.f64 a a)))
(.f64 b (.f64 b (pow.f64 a #s(literal -2 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 b a))) #s(literal 2 binary64))
(pow.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 b a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 b) b) #s(literal -1 binary64)) (.f64 a a))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) a)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) b)) a)
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 b a) b)) (neg.f64 a))
(/.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 b) b)) (*.f64 (neg.f64 a) a))
(/.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 a) a) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (.f64 a a) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 b a) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 b) b)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 a) a)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 #s(literal 2 binary64) (.f64 a a)))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 b b) (.f64 a a))
(neg.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal 2 binary64)))
#s(approx (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
#s(approx (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
#s(approx (- (pow (/ b a) 2) 1) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (- (pow (/ b a) 2) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ b a) (/ b a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (/ b a) (/.f64 b a))
#s(approx a a)
#s(approx (sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))))) (sqrt.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
#s(approx (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a))))) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 4 binary64))))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))
#s(approx (+ 1 (* (/ b a) (/ b a))) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (+ 1 (* (/ b a) (/ b a))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* (/ b a) (/ b a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (- (pow (/ b a) 2) 1) #s(literal -1 binary64))
#s(approx (- (pow (/ b a) 2) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) #s(literal 1 binary64))
#s(approx (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))))
#s(approx (+ 1 (* (/ b a) (/ b a))) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ b a) (/ b a))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx b b)
#s(approx (- (pow (/ b a) 2) 1) (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))
#s(approx (/ (- 1 (/ (pow b 4) (pow a 4))) (+ 1 (* (/ b a) (/ b a)))) (.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (.f64 b b)))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) (*.f64 (-.f64 (pow.f64 b #s(literal -4 binary64)) (pow.f64 a #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ 1 (* (/ b a) (/ b a))) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))

eval63.0ms (3.7%)

Memory: -18.8MiB live, 84.5MiB allocated; 33ms collecting garbage
Compiler: Compiled 5 665 to 1 248 computations (78% saved)

prune6.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	279	3	282

Accuracy

100.0%

Counts

282 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

99.7%

(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))

✓

100.0%

(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))

✓

98.7%

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

Compiler

Compiled 45 to 37 computations (17.8% saved)

series11.0ms (0.7%)

Memory

-29.6MiB live, 18.6MiB allocated; 2ms collecting garbage

Counts

12 → 21

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b a) #s(literal 2 binary64))
(/.f64 b a)
b
a
#s(literal 2 binary64)
#s(literal -1 binary64)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	((sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1))) (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)) (- 1 (/ (pow b 4) (pow a 4))) 1 (- (pow (/ b a) 2) -1) (pow (/ b a) 2) (/ b a) b a 2 -1)
2.0ms	b	@	inf	((sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1))) (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)) (- 1 (/ (pow b 4) (pow a 4))) 1 (- (pow (/ b a) 2) -1) (pow (/ b a) 2) (/ b a) b a 2 -1)
2.0ms	b	@	-inf	((sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1))) (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)) (- 1 (/ (pow b 4) (pow a 4))) 1 (- (pow (/ b a) 2) -1) (pow (/ b a) 2) (/ b a) b a 2 -1)
2.0ms	a	@	0	((sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1))) (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)) (- 1 (/ (pow b 4) (pow a 4))) 1 (- (pow (/ b a) 2) -1) (pow (/ b a) 2) (/ b a) b a 2 -1)
1.0ms	a	@	-inf	((sqrt (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)))) (fabs (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1))) (/ (- 1 (/ (pow b 4) (pow a 4))) (- (pow (/ b a) 2) -1)) (- 1 (/ (pow b 4) (pow a 4))) 1 (- (pow (/ b a) 2) -1) (pow (/ b a) 2) (/ b a) b a 2 -1)

rewrite103.0ms (6%)

Memory

-0.5MiB live, 93.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	516
0	79	504
1	349	354
0	2954	354

Stop Event

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

Counts

33 → 146

Calls

Call 1

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

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

eval17.0ms (1%)

Memory: 29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 497 to 714 computations (79.6% saved)

prune6.0ms (0.4%)

Memory

-39.4MiB live, 9.4MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Accuracy

100.0%

Counts

132 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

✓

99.7%

(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))

✓

100.0%

(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))

✓

98.7%

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

Compiler

Compiled 171 to 93 computations (45.6% saved)

regimes16.0ms (0.9%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fabs.f64 (.f64 (+.f64 b a) (/.f64 (-.f64 a b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 #s(approx (- 1 (/ (pow b 4) (pow a 4))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a))))))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes6.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f64 b b)`
98.7%	1	`(*.f64 a a)`
98.7%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.7%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.7%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.7%	1	`a`
98.7%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

derivations18.0ms (1%)

Memory

-33.5MiB live, 13.8MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess18.0ms (1.1%)

Memory

34.6MiB live, 34.6MiB allocated; 0ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 170 to 124 computations (27.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze15.0ms (0.9%)

sample890.0ms (51.9%)

explain85.0ms (5%)

preprocess33.0ms (1.9%)

series8.0ms (0.5%)

rewrite78.0ms (4.6%)

eval32.0ms (1.9%)

prune5.0ms (0.3%)

series39.0ms (2.3%)

rewrite57.0ms (3.3%)

eval18.0ms (1.1%)

prune5.0ms (0.3%)

series63.0ms (3.7%)

rewrite122.0ms (7.1%)

eval63.0ms (3.7%)

prune6.0ms (0.3%)

series11.0ms (0.7%)

rewrite103.0ms (6%)

eval17.0ms (1%)

prune6.0ms (0.4%)

regimes16.0ms (0.9%)

regimes6.0ms (0.4%)

derivations18.0ms (1%)

preprocess18.0ms (1.1%)

end0.0ms (0%)

Profiling