Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.5%)

Memory

-24.5MiB live, 17.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.4s (28.2%)

Memory

30.6MiB live, 949.6MiB allocated

Samples

940.0ms	8 256×	0	valid
75.0ms	808×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 688.0ms

ival-mult: 188.0ms (27.3% of total)

ival-<=: 163.0ms (23.7% of total)

ival-fabs: 112.0ms (16.3% of total)

ival-sqrt: 70.0ms (10.2% of total)

ival-div: 62.0ms (9% of total)

ival-sub: 59.0ms (8.6% of total)

ival-and: 17.0ms (2.5% of total)

exact: 10.0ms (1.5% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain102.0ms (2%)

Memory

19.6MiB live, 67.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
54	-	-	`(/.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	54	0
↳	`(*.f64 b b)`	underflow	179
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	54
↳	`(*.f64 a a)`	underflow	54
↳	`(*.f64 a a)`	underflow	54

Confusion

	Predicted +	Predicted -
+	54	0
-	0	202

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	0	0	202

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	202
1	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.2% of total)

ival-div: 3.0ms (17.6% of total)

ival-sqrt: 3.0ms (17.6% of total)

ival-sub: 2.0ms (11.7% of total)

ival-fabs: 2.0ms (11.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess129.0ms (2.5%)

Memory

-50.7MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	88	57
2	586	57
3	3099	57
0	8	13
0	14	13
1	37	11
2	204	11
3	1434	11
0	8739	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify95.0ms (1.9%)

Memory

19.9MiB live, 108.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
cost-diff	1	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
cost-diff	2	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	37	45
2	204	45
3	1434	45
0	8739	43

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (1%)

Memory

2.8MiB live, 57.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	0.01171875	(-.f64 (.f64 a a) (.f64 b b))
accuracy	13.097805804803173	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

15.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.7% of total)

ival-sqrt: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

ival-fabs: 1.0ms (11.9% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify163.0ms (3.2%)

Memory

10.1MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite94.0ms (1.8%)

Memory

-17.8MiB live, 126.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	42
1	60	36
2	560	26
0	9127	25

Stop Event

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

Counts

4 → 403

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a))) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) (neg.f64 a)) (/.f64 (fabs.f64 (-.f64 b a)) (neg.f64 a)))
(*.f64 (/.f64 (fabs.f64 (+.f64 b a)) a) (/.f64 (fabs.f64 (-.f64 b a)) a))
(.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) a) (neg.f64 a)) (/.f64 (-.f64 (neg.f64 a) b) a))
(*.f64 (/.f64 (+.f64 (neg.f64 b) a) (neg.f64 a)) (/.f64 (-.f64 (neg.f64 a) b) (neg.f64 a)))
(*.f64 (/.f64 (+.f64 (neg.f64 b) a) a) (/.f64 (-.f64 (neg.f64 a) b) a))
(*.f64 (/.f64 (+.f64 (neg.f64 b) a) a) (/.f64 (-.f64 (neg.f64 a) b) (neg.f64 a)))
(*.f64 (neg.f64 (/.f64 (hypot.f64 b a) a)) (neg.f64 (/.f64 (hypot.f64 b a) a)))
(*.f64 (fabs.f64 (/.f64 (+.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 a b) a)))
(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
(.f64 (+.f64 (neg.f64 b) a) (/.f64 (-.f64 (neg.f64 a) b) (.f64 a a)))
(.f64 (+.f64 (neg.f64 b) a) (/.f64 (-.f64 (neg.f64 a) b) (.f64 (neg.f64 a) a)))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 b b (.f64 a a)) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (.f64 a a))))
(.f64 (fabs.f64 (+.f64 b a)) (/.f64 (fabs.f64 (-.f64 b a)) (.f64 a a)))
(*.f64 (fabs.f64 (+.f64 b a)) (fabs.f64 (/.f64 (/.f64 (-.f64 a b) a) a)))
(*.f64 (/.f64 (hypot.f64 b a) a) (/.f64 (hypot.f64 b a) a))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 (neg.f64 a) a)))
(*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 (fma.f64 b b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 b a) a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (hypot.f64 b a) (hypot.f64 b a)) (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 (hypot.f64 b a) (hypot.f64 b a)) (neg.f64 a)) a)
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64))) (neg.f64 a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64))) a)
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 (neg.f64 a) a)) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (neg.f64 a)) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (.f64 a a)) (*.f64 a a))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) a) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 a b) a) a)) (fma.f64 b (-.f64 b a) (.f64 a a)))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (/.f64 (/.f64 (-.f64 a b) a) a)) (-.f64 a b))
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #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) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fabs.f64 (/.f64 (fma.f64 b b (*.f64 a a)) a))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 a b)) (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (.f64 a a)))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (-.f64 a b)) (.f64 (-.f64 a b) (.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 b a) #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
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(+.f64 (.f64 (neg.f64 a) a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 (neg.f64 a) a))
(+.f64 (.f64 b b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(+.f64 (.f64 a a) (.f64 b b))

eval44.0ms (0.9%)

Memory: 12.9MiB live, 58.7MiB allocated
Compiler: Compiled 6 154 to 1 251 computations (79.7% saved)

prune4.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	285	4	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	4	290

Accuracy

100.0%

Counts

290 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
▶	78.8%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	97.2%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 64 to 42 computations (34.4% saved)

simplify100.0ms (2%)

Memory

-15.7MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	224
0	49	218
1	110	200
2	370	196
3	2421	196
0	8685	196

Stop Event

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

Calls

Call 1

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

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

localize69.0ms (1.4%)

Memory

4.5MiB live, 94.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
accuracy	13.097805804803173	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))
accuracy	0.0	(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
accuracy	0.20931625976844204	(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
accuracy	13.158846301981743	(/.f64 (+.f64 b a) (*.f64 a a))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.8573831882099667	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
accuracy	0.21875	(/.f64 (/.f64 b a) a)

Samples

48.0ms

256×

valid

Compiler

Compiled 202 to 27 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 9.0ms (26.1% of total)

ival-div: 7.0ms (20.3% of total)

ival-mult: 7.0ms (20.3% of total)

ival-fabs: 4.0ms (11.6% of total)

ival-sqrt: 4.0ms (11.6% of total)

ival-add: 2.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (1.5%)

Memory

-17.1MiB live, 38.3MiB allocated

Counts

18 → 52

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a) (/ (+ b a) (* a a)) (* a a))
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a) (/ (+ b a) (* a a)) (* a a))
3.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a) (/ (+ b a) (* a a)) (* a a))
3.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a) (/ (+ b a) (* a a)) (* a a))
2.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (* (- a b) (/ (+ b a) (* a a))) (fabs (* (- a b) (/ (+ b a) (* a a)))) (sqrt (fabs (* (- a b) (/ (+ b a) (* a a))))) (- a b) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (/ (/ b a) a) (/ (+ b a) (* a a)) (* a a))

simplify145.0ms (2.9%)

Memory

22.5MiB live, 160.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	466
1	388	392
2	1422	379
3	6750	377
0	8100	364

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

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

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

rewrite224.0ms (4.4%)

Memory

-3.1MiB live, 286.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	201
0	49	197
1	181	175
2	1332	136
0	8715	136

Stop Event

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

Counts

18 → 1 659

Calls

Call 1

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

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

eval161.0ms (3.2%)

Memory: 11.4MiB live, 196.7MiB allocated
Compiler: Compiled 25 058 to 4 106 computations (83.6% saved)

prune16.0ms (0.3%)

Memory

8.7MiB live, 52.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	900	3	903
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	903	4	907

Accuracy

100.0%

Counts

907 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	79.6%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
▶	97.2%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 72 to 46 computations (36.1% saved)

simplify151.0ms (3%)

Memory

-31.3MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	146
0	36	146
1	76	138
2	315	134
3	2095	134
0	8767	134

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.7%)

Memory

13.9MiB live, 110.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (+.f64 b a) (-.f64 b a))
accuracy	0.0	(fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))
accuracy	0.01171875	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
accuracy	12.954599257215955	(sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	13.280626349657762	(/.f64 b (*.f64 a a))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
accuracy	1.8573831882099667	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))

Samples

52.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 26.0ms (62.3% of total)

ival-div: 4.0ms (9.6% of total)

ival-fabs: 3.0ms (7.2% of total)

ival-sqrt: 3.0ms (7.2% of total)

ival-add: 2.0ms (4.8% of total)

ival-sub: 2.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

26.5MiB live, 26.5MiB allocated

Counts

11 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
2.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
2.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
2.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))
1.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b (* a a)) b) -1)) (+ (* (/ b (* a a)) b) -1) (/ (sqrt (fabs (* (+ b a) (- b a)))) a) (sqrt (fabs (* (+ b a) (- b a)))) (fabs (* (+ b a) (- b a))) (* (+ b a) (- b a)) (/ b (* a a)))

simplify169.0ms (3.3%)

Memory

8.5MiB live, 194.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	308
1	305	262
2	1201	252
3	6194	252
0	8095	245

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite127.0ms (2.5%)

Memory

-36.0MiB live, 203.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	36	129
1	136	121
2	1050	88
0	9181	88

Stop Event

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

Counts

11 → 721

Calls

Call 1

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

Outputs
(.f64 (neg.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) #s(literal 1 binary64))) #s(literal 1/2 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64))
(.f64 (neg.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (fabs (/ (- ( a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(*.f64 (+.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sin.f64 (acos.f64 (/.f64 b a)))) (neg.f64 (sin.f64 (acos.f64 (/.f64 b a)))))
(*.f64 (fabs.f64 (sin.f64 (acos.f64 (/.f64 b a)))) (fabs.f64 (sin.f64 (acos.f64 (/.f64 b a)))))
(*.f64 (fabs.f64 (/.f64 (-.f64 b a) a)) (fabs.f64 (/.f64 (-.f64 b a) a)))
(*.f64 (/.f64 (-.f64 b a) a) (-.f64 (/.f64 b a) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 b a) a) (/.f64 (-.f64 b a) a))
(*.f64 (sin.f64 (acos.f64 (/.f64 b a))) (sin.f64 (acos.f64 (/.f64 b a))))
(.f64 (fabs.f64 (-.f64 b a)) (fabs.f64 (/.f64 (-.f64 b a) (.f64 a a))))
(.f64 (-.f64 b a) (/.f64 (-.f64 b a) (.f64 a a)))
(pow.f64 (sin.f64 (acos.f64 (/.f64 b a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.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 (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 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.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))) (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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 (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))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.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))) (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (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 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 a (-.f64 b a)) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fabs.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fabs.f64 (.f64 (fma.f64 b b (.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 b a))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fabs.f64 (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 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (.f64 (fma.f64 b b (.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 b a))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (fma.f64 b b (.f64 a (-.f64 b a))) (fma.f64 b b (*.f64 a (-.f64 b a)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (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 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 a) a)) (sqrt.f64 (.f64 (neg.f64 a) a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 a) a)) (sqrt.f64 (.f64 (neg.f64 a) a)) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 b) b))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 a #s(literal 3 binary64))) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a)))) (-.f64 b a) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (-.f64 b a)))) (-.f64 b a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) b (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 (neg.f64 a))) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) a (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 a) a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 b a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a)))) (.f64 (-.f64 b a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (-.f64 b a))))))
(fma.f64 (-.f64 b a) b (*.f64 (-.f64 b a) a))
(fma.f64 (-.f64 b a) a (*.f64 (-.f64 b a) b))
(fma.f64 b (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 b a) (*.f64 a (-.f64 b a)))
(fma.f64 b b (*.f64 (neg.f64 a) a))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 a) (*.f64 b b))
(fma.f64 a (-.f64 b a) (*.f64 b (-.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(sqrt.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 a #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 (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 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
(-.f64 (.f64 b (-.f64 b a)) (.f64 (neg.f64 a) (-.f64 b a)))
(-.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) a))
(-.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.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 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(-.f64 (.f64 a (-.f64 b a)) (.f64 (neg.f64 b) (-.f64 b a)))
(-.f64 (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(-.f64 (.f64 b b) (.f64 a a))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(fabs.f64 (-.f64 (/.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 (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))))))
(fabs.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (-.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a)))) (-.f64 b a)) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a)))) (-.f64 b a)))
(+.f64 (.f64 (-.f64 b a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a))))) (.f64 (-.f64 b a) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (.f64 a (-.f64 b a))))))
(+.f64 (neg.f64 (.f64 b (-.f64 b a))) (neg.f64 (.f64 a (-.f64 b a))))
(+.f64 (neg.f64 (.f64 (-.f64 b a) b)) (neg.f64 (.f64 (-.f64 b a) a)))
(+.f64 (neg.f64 (.f64 (-.f64 b a) a)) (neg.f64 (.f64 (-.f64 b a) b)))
(+.f64 (neg.f64 (.f64 a (-.f64 b a))) (neg.f64 (.f64 b (-.f64 b a))))
(+.f64 (.f64 b (-.f64 b a)) (.f64 a (-.f64 b a)))
(+.f64 (.f64 (-.f64 b a) b) (.f64 (-.f64 b a) a))
(+.f64 (.f64 (-.f64 b a) a) (.f64 (-.f64 b a) 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 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a (-.f64 b a)) (.f64 b (-.f64 b a)))
(+.f64 (.f64 (neg.f64 a) a) (.f64 b b))
(+.f64 (.f64 b b) (.f64 (neg.f64 a) a))
(+.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 (neg.f64 b))) b))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(sqrt.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(fabs.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(fabs.f64 (/.f64 b (*.f64 a a)))

eval57.0ms (1.1%)

Memory: 7.3MiB live, 99.4MiB allocated
Compiler: Compiled 11 274 to 1 663 computations (85.2% saved)

prune21.0ms (0.4%)

Memory

2.4MiB live, 44.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	425	0	425
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	425	4	429

Accuracy

100.0%

Counts

429 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) a)
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	79.6%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
✓	97.2%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) #s(literal 1 binary64)))

Compiler

Compiled 198 to 92 computations (53.5% saved)

regimes16.0ms (0.3%)

Memory

34.3MiB live, 34.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes32.0ms (0.6%)

Memory

-8.0MiB live, 35.7MiB allocated

Accuracy

Total -13.0b remaining (-729.7%)

Threshold costs -13b (-729.7%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
2.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.2%	1	`(*.f64 b b)`
97.2%	1	`(*.f64 a a)`
97.2%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.2%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.2%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
97.2%	1	`a`
97.2%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify250.0ms (4.9%)

Memory

72.8MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	44	34
2	216	34
3	1452	34

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations1.2s (23.7%)

Memory

-106.9MiB live, 166.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	201
0	49	197
1	181	175
2	1332	136
0	8715	136
0	25	117
1	58	104
2	194	104
3	1182	104
4	5531	104
0	8296	101

Stop Event

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

Compiler

Compiled 38 to 17 computations (55.3% saved)

preprocess19.0ms (0.4%)

Memory

29.9MiB live, 29.9MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 194 to 106 computations (45.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.5%)

sample1.4s (28.2%)

explain102.0ms (2%)

preprocess129.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify95.0ms (1.9%)

localize52.0ms (1%)

series5.0ms (0.1%)

simplify163.0ms (3.2%)

rewrite94.0ms (1.8%)

eval44.0ms (0.9%)

prune4.0ms (0.1%)

simplify100.0ms (2%)

localize69.0ms (1.4%)

series78.0ms (1.5%)

simplify145.0ms (2.9%)

rewrite224.0ms (4.4%)

eval161.0ms (3.2%)

prune16.0ms (0.3%)

simplify151.0ms (3%)

localize85.0ms (1.7%)

series13.0ms (0.3%)

simplify169.0ms (3.3%)

rewrite127.0ms (2.5%)

eval57.0ms (1.1%)

prune21.0ms (0.4%)

regimes16.0ms (0.3%)

regimes32.0ms (0.6%)

simplify250.0ms (4.9%)

derivations1.2s (23.7%)

preprocess19.0ms (0.4%)

end0.0ms (0%)

Profiling