Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze41.0ms (2%)

Memory

-22.6MiB live, 20.2MiB allocated; 13ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.1s (51.3%)

Memory

33.8MiB live, 1 028.5MiB allocated; 165ms collecting garbage

Samples

684.0ms	8 256×	0	valid
52.0ms	793×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-mult: 163.0ms (36.4% of total)

ival-div: 108.0ms (24.1% of total)

ival-sqrt: 56.0ms (12.5% of total)

ival-fabs: 54.0ms (12.1% of total)

ival-sub: 51.0ms (11.4% of total)

ival-<=: 6.0ms (1.3% of total)

ival-and: 4.0ms (0.9% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain174.0ms (8.4%)

Memory

-34.7MiB live, 131.1MiB allocated; 117ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
56	-	-	`(/.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	56	0
↳	`(*.f64 b b)`	underflow	188
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	56
↳	`(*.f64 a a)`	underflow	56
↳	`(*.f64 a a)`	underflow	56

Confusion

	Predicted +	Predicted -
+	56	0
-	0	200

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	0	0	200

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	200
1	56

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28.9% of total)

ival-sqrt: 6.0ms (28.9% of total)

ival-div: 3.0ms (14.5% of total)

ival-sub: 2.0ms (9.6% of total)

ival-fabs: 2.0ms (9.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess144.0ms (6.9%)

Memory

42.4MiB live, 150.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	99	68
2	621	68
3	5836	68
0	8	13
0	14	13
1	37	11
2	204	11
3	2138	11
0	8528	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs a)

(abs b)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.1%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series8.0ms (0.4%)

Memory

7.4MiB live, 7.4MiB 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)
2.0ms	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	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)

rewrite74.0ms (3.6%)

Memory

-2.7MiB live, 45.0MiB allocated; 3ms 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))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.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))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.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)))

eval45.0ms (2.2%)

Memory: 10.6MiB live, 57.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 756 to 1 202 computations (74.7% saved)

prune33.0ms (1.6%)

Memory

-20.6MiB live, 26.5MiB allocated; 29ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	274	4	278
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	275	4	279

Accuracy

100.0%

Counts

279 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
▶	78.1%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
▶	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 51 to 37 computations (27.5% saved)

series57.0ms (2.8%)

Memory

-8.2MiB live, 39.1MiB allocated; 7ms collecting garbage

Counts

26 → 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 (/.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)
b
a
(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64))))
(fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(/.f64 (.f64 b b) (.f64 (neg.f64 a) a))
(*.f64 b b)
(*.f64 (neg.f64 a) a)
(neg.f64 a)
#s(literal -1 binary64)
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
(fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a))
(/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a))
(+.f64 b a)
(/.f64 (-.f64 a b) a)
(-.f64 a 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 (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 a #s(hole binary64 a))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* (neg a) a)) #s(hole binary64 (* -1 (/ (pow b 2) (pow a 2)))))
#s(approx (* (neg a) a) #s(hole binary64 (* -1 (pow a 2))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#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) (/ (- a b) a)) #s(hole binary64 (* -1 (/ (pow b 2) a))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) a)))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) a)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (/ (- a b) a) #s(hole binary64 (* -1 (/ b a))))
#s(approx (/ (- a b) a) #s(hole binary64 (/ (+ a (* -1 b)) a)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#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) (/ b a)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (- (/ (pow b 2) (pow a 2)) 1)))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #s(hole binary64 1))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #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) (/ (- a b) a)) #s(hole binary64 a))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* a (+ 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) #s(hole binary64 1))
#s(approx (/ (- a b) a) #s(hole binary64 (+ 1 (* -1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (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) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (* -1 b)) a)) 1)))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (+ b (+ (* -1 b) (* -1 (/ (pow b 2) a)))) a)) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (/ (* (+ b a) (/ (- a b) a)) a) #s(hole binary64 (+ 1 (* -1 (/ (pow b 2) (pow a 2))))))
#s(approx (* (+ b a) (/ (- a b) a)) #s(hole binary64 (+ a (* -1 (/ (pow b 2) a)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))))
#s(approx (- (* (/ b a) (/ b a)) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) #s(hole binary64 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))))
#s(approx (fabs (- (/ (* b b) (* (neg a) a)) -1)) #s(hole binary64 (fabs (- 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* b b) (* (neg a) a)) -1) #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) (/ (- a b) a)) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (/ 1 a)))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (/ (- a b) a) #s(hole binary64 (* b (- (/ 1 b) (/ 1 a)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#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) #s(hole binary64 (* -1 (* b (- (/ 1 a) (/ 1 b))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	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) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg 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) (/ (- a b) a)) (+ b a) (/ (- a b) a) (- a b))
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) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg 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) (/ (- a b) a)) (+ b a) (/ (- a b) a) (- a b))
4.0ms	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) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg 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) (/ (- a b) a)) (+ b a) (/ (- a b) a) (- a b))
3.0ms	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) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg 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) (/ (- a b) a)) (+ b a) (/ (- a b) a) (- a b))
3.0ms	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) (/ b a)) 1))) (fabs (- (* (/ b a) (/ b a)) 1)) (- (* (/ b a) (/ b a)) 1) (* (/ b a) (/ b a)) (/ b a) b a (sqrt (fabs (- (/ (* b b) (* (neg a) a)) -1))) (fabs (- (/ (* b b) (* (neg a) a)) -1)) (- (/ (* b b) (* (neg a) a)) -1) (/ (* b b) (* (neg a) a)) (* b b) (* (neg a) a) (neg 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) (/ (- a b) a)) (+ b a) (/ (- a b) a) (- a b))

rewrite74.0ms (3.6%)

Memory

15.2MiB live, 62.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1629
0	277	1468
0	1143	1456

Stop Event

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

Counts

103 → 167

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

eval23.0ms (1.1%)

Memory: -14.4MiB live, 32.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 152 to 768 computations (75.6% saved)

prune5.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	186	4	190

Accuracy

100.0%

Counts

190 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
▶	78.1%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal 1 binary64))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 50 to 36 computations (28% saved)

series6.0ms (0.3%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

9 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite61.0ms (2.9%)

Memory

1.7MiB live, 51.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	220
0	49	215
1	178	180
0	1239	180

Stop Event

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

Counts

21 → 153

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (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))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #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 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(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 (neg.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 b (/.f64 b a)) #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 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #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)) (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 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 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (fabs.f64 a)) (/.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.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 (/.f64 (/.f64 b a) a) b #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 (neg.f64 b) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (*.f64 a a)) #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 b (*.f64 (/.f64 (/.f64 b a) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))
(expm1.f64 (-.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log.f64 a) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 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 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 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 (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 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a))
(*.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 b) (fabs.f64 a)) (/.f64 (fabs.f64 b) (fabs.f64 a)))
(*.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a))
(*.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)))
(*.f64 (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 b a)))
(*.f64 (fabs.f64 (/.f64 b a)) (fabs.f64 (/.f64 b a)))
(*.f64 (/.f64 (/.f64 b a) a) b)
(.f64 (/.f64 b a) (.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (neg.f64 b) (/.f64 (neg.f64 b) (.f64 a a)))
(.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (.f64 a 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)))
(.f64 b (.f64 (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
(*.f64 b (/.f64 (/.f64 b a) a))
(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 (*.f64 b b) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) (fabs.f64 a))
(/.f64 (.f64 (.f64 b (/.f64 b a)) #s(literal 1 binary64)) a)
(/.f64 (.f64 (.f64 (neg.f64 b) b) #s(literal 1 binary64)) (*.f64 (neg.f64 a) a))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))
(/.f64 (.f64 (.f64 b (/.f64 b a)) #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 b (/.f64 b a)) a)
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 b b) (.f64 a a))
(neg.f64 (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))
(neg.f64 (/.f64 (.f64 b b) (.f64 (neg.f64 a) a)))
(exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log.f64 a) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 #s(literal 1 binary64) (neg.f64 b)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 b)) (*.f64 #s(literal 1 binary64) (fabs.f64 b)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 b)) (fabs.f64 b))
(.f64 (.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b))
(.f64 (.f64 #s(literal 1 binary64) b) b)
(*.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) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(*.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 #s(literal 2 binary64) (.f64 b b)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
b
(.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 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(.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 (.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
a
#s(literal 1 binary64)
#s(approx (sqrt (fabs (- (/ (* b b) (* a a)) 1))) (sqrt.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (fabs (- (/ (* b b) (* a a)) 1)) (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ (* b b) (* a a)) 1) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (- (/ (* b b) (* a a)) 1) (/.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (.f64 a a)))
#s(approx (/ (* b b) (* a a)) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (/ (* b b) (* a a)) 1) #s(literal -1 binary64))
#s(approx (- (/ (* b b) (* a a)) 1) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (- (/ (* b b) (* a a)) 1) (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))

eval21.0ms (1%)

Memory: -11.7MiB live, 35.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 221 to 696 computations (68.7% saved)

prune4.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	157	4	161

Accuracy

100.0%

Counts

161 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
✓	78.1%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series7.0ms (0.3%)

Memory

12.4MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

8 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite52.0ms (2.5%)

Memory

-26.7MiB live, 67.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	194
0	50	189
1	168	185
0	1294	185

Stop Event

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

Counts

19 → 69

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b a) a) b)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b))))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b)))
(fabs.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 b a) a) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #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 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (/.f64 b a) a) b)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 b a) a) b)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) b #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))
(expm1.f64 (-.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) (.f64 (log.f64 a) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))))
(-.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 b a) a)) b))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (/.f64 (/.f64 b a) a)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b))
(/.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (*.f64 a a))
(/.f64 (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 (neg.f64 a) a)))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a a)))
(neg.f64 (/.f64 (/.f64 b a) (neg.f64 a)))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
b
a
#s(literal -1 binary64)
#s(approx (sqrt (fabs (+ (* (/ (/ b a) a) b) -1))) (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
#s(approx (fabs (+ (* (/ (/ b a) a) b) -1)) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
#s(approx (+ (* (/ (/ b a) a) b) -1) (*.f64 (/.f64 (/.f64 b a) a) b))
#s(approx (+ (* (/ (/ b a) a) b) -1) (/.f64 (fma.f64 (neg.f64 a) a (.f64 b b)) (.f64 a a)))
#s(approx (/ (/ b a) a) (/.f64 (/.f64 b a) a))
#s(approx (/ b a) (/.f64 b a))
#s(approx a a)
#s(approx (+ (* (/ (/ b a) a) b) -1) #s(literal -1 binary64))
#s(approx (+ (* (/ (/ b a) a) b) -1) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
#s(approx b b)
#s(approx (+ (* (/ (/ b a) a) b) -1) (.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (.f64 b b)))

eval9.0ms (0.4%)

Memory: 14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 187 to 286 computations (75.9% saved)

prune5.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	73	4	77

Accuracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
	78.8%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Compiler

Compiled 143 to 82 computations (42.7% saved)

regimes42.0ms (2%)

Memory

-17.0MiB live, 31.5MiB allocated; 36ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

29.0ms	a
3.0ms	b
2.0ms	(*.f64 a a)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes10.0ms (0.5%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Accuracy

Total -13.7b remaining (-1618.9%)

Threshold costs -13.7b (-1618.9%)

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
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)

simplify52.0ms (2.5%)

Memory

-31.8MiB live, 63.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	40	23
2	195	23
3	1260	23
4	5249	23

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations22.0ms (1.1%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess43.0ms (2.1%)

Memory

-19.0MiB live, 28.2MiB allocated; 1ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 116 to 80 computations (31% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze41.0ms (2%)

sample1.1s (51.3%)

explain174.0ms (8.4%)

preprocess144.0ms (6.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.4%)

rewrite74.0ms (3.6%)

eval45.0ms (2.2%)

prune33.0ms (1.6%)

series57.0ms (2.8%)

rewrite74.0ms (3.6%)

eval23.0ms (1.1%)

prune5.0ms (0.2%)

series6.0ms (0.3%)

rewrite61.0ms (2.9%)

eval21.0ms (1%)

prune4.0ms (0.2%)

series7.0ms (0.3%)

rewrite52.0ms (2.5%)

eval9.0ms (0.4%)

prune5.0ms (0.2%)

regimes42.0ms (2%)

regimes10.0ms (0.5%)

simplify52.0ms (2.5%)

derivations22.0ms (1.1%)

preprocess43.0ms (2.1%)

end0.0ms (0%)

Profiling