Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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)

sample2.2s (38.3%)

Memory

-55.7MiB live, 1 160.4MiB allocated

Samples

1.6s	8 256×	0	valid
92.0ms	800×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 912.0ms (63.8% of total)

ival-<=: 209.0ms (14.6% of total)

ival-sqrt: 125.0ms (8.7% of total)

ival-div: 52.0ms (3.6% of total)

ival-sub: 49.0ms (3.4% of total)

ival-fabs: 44.0ms (3.1% of total)

ival-and: 20.0ms (1.4% of total)

exact: 12.0ms (0.8% of total)

ival-assert: 4.0ms (0.3% of total)

adjust: 3.0ms (0.2% of total)

Bogosity

explain165.0ms (2.9%)

Memory

-28.6MiB live, 118.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.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	58	0
↳	`(*.f64 b b)`	underflow	170
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	58
↳	`(*.f64 a a)`	underflow	58
↳	`(*.f64 a a)`	underflow	58

Confusion

	Predicted +	Predicted -
+	58	0
-	0	198

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	0	0	198

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (37% of total)

ival-div: 3.0ms (15.8% of total)

ival-fabs: 3.0ms (15.8% of total)

ival-sqrt: 3.0ms (15.8% of total)

ival-sub: 2.0ms (10.6% of total)

ival-true: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

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

preprocess152.0ms (2.7%)

Memory

24.0MiB live, 116.2MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify162.0ms (2.9%)

Memory

-4.5MiB live, 123.3MiB 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

localize55.0ms (1%)

Memory

12.0MiB live, 46.6MiB 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	0.00390625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	14.054847260248085	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

17.0ms

256×

valid

Compiler

Compiled 53 to 10 computations (81.1% saved)

Precisions

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

ival-mult: 3.0ms (31.8% of total)

ival-div: 2.0ms (21.2% of total)

ival-sqrt: 2.0ms (21.2% of total)

ival-sub: 1.0ms (10.6% of total)

ival-fabs: 1.0ms (10.6% 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

14.9MiB live, 14.9MiB 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	@	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	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	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)))

simplify345.0ms (6.1%)

Memory

62.0MiB live, 163.6MiB 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)

rewrite87.0ms (1.5%)

Memory

11.8MiB live, 58.5MiB 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))

eval43.0ms (0.8%)

Memory: -9.3MiB live, 36.8MiB allocated
Compiler: Compiled 6 154 to 1 251 computations (79.7% saved)

prune6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	284	5	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	285	5	290

Accuracy

100.0%

Counts

290 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) a)) (sqrt.f64 (/.f64 (-.f64 a b) a)))
▶	77.0%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
▶	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))
▶	97.9%	(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 174 to 110 computations (36.8% saved)

simplify188.0ms (3.3%)

Memory

0.3MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	302
0	62	303
1	120	281
2	389	276
3	2323	276
0	8293	276

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.8%)

Memory

-32.7MiB live, 63.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(/.f64 (+.f64 b a) a)
accuracy	0.01953125	(sqrt.f64 (/.f64 (+.f64 b a) a))
accuracy	0.04296875	(/.f64 (-.f64 a b) a)
accuracy	0.046875	(*.f64 (sqrt.f64 (/.f64 (+.f64 b a) a)) (sqrt.f64 (/.f64 (-.f64 a b) a)))
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	0.01953125	(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	0.18359375	(/.f64 (/.f64 b a) a)
accuracy	0.0	(fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a))))
accuracy	0.01953125	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
accuracy	0.19140625	(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
accuracy	14.38377300468919	(/.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	0.01953125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	1.4126501893928307	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)))
accuracy	0.0	#s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))
accuracy	0.015625	(/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a)
accuracy	0.01953125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.f64 b) a) a))))

Samples

68.0ms

256×

valid

Compiler

Compiled 252 to 32 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 11.0ms (24.1% of total)

ival-div: 10.0ms (21.9% of total)

ival-mult: 9.0ms (19.7% of total)

ival-sqrt: 6.0ms (13.1% of total)

ival-add: 4.0ms (8.8% of total)

ival-fabs: 4.0ms (8.8% of total)

ival-neg: 1.0ms (2.2% 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)

series45.0ms (0.8%)

Memory

-9.4MiB live, 36.3MiB allocated

Counts

22 → 94

Calls

Call 1

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

Outputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (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)
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(sqrt (/ b a))
(/ (+ (sqrt (* a b)) (* 1/2 (sqrt (/ (pow a 3) b)))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* -1/8 (sqrt (/ a (pow b 3)))) (* 1/2 (sqrt (/ 1 (* a b))))))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* 1/2 (sqrt (/ 1 (* a b)))) (* (pow a 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow b 3))))) (* 1/16 (sqrt (/ 1 (* a (pow b 5)))))))))) a)
(/ b a)
(/ (+ a b) a)
b
(+ a b)
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(* -1 (/ b a))
(/ (+ a (* -1 b)) a)
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))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* 1/2 (/ b a)))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a))))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (+ (* 1/16 (/ (pow b 3) (pow a 3))) (* 1/2 (/ b a)))))
(+ 1 (/ b a))
(* a (+ 1 (/ b a)))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(+ 1 (* -1 (/ b 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 (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ b a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/8 (/ (pow b 2) (* a (pow (sqrt -1) 2)))) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow b 2) (pow (sqrt -1) 2))) (* -1/16 (/ (pow b 3) (* a (pow (sqrt -1) 4))))) a)) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(+ a (* -1 b))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(+ 1 (* b (+ (* -1/8 (/ b (pow a 2))) (* 1/2 (/ 1 a)))))
(+ 1 (* b (+ (* b (- (* 1/16 (/ b (pow a 3))) (* 1/8 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))))
(+ (/ 1 a) (/ b (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (- (/ a b) 1))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* b (+ (sqrt (/ 1 (* a b))) (* 1/2 (sqrt (/ a (pow b 3))))))
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (* 1/2 (sqrt (/ a (pow b 3)))))))
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (+ (* 1/16 (sqrt (/ (pow a 5) (pow b 7)))) (* 1/2 (sqrt (/ a (pow b 3))))))))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ 1 (/ a b)))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 b) (/ 1 a)))
(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)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* (sqrt (/ b a)) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (pow a 5) (pow b 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (/ 1 a) (/ 1 b))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (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) (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 (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (- a b) a))
5.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (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) (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 (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (- a b) a))
5.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (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) (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 (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (- a b) a))
5.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (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) (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 (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (- a b) a))
5.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (+ (* (/ b a) (neg b)) a) a) (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) (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 (/ (+ b a) a)) (sqrt (/ (- a b) a))) (sqrt (/ (+ b a) a)) (/ (+ b a) a) (+ b a) (/ (+ b a) (* a a)) (/ (/ b a) a) (/ (- a b) a))

simplify125.0ms (2.2%)

Memory

38.1MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	1559
1	1337	1078
2	7180	1068
0	8130	1011

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 92

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)))
(* -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)
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(sqrt (/ b a))
(/ (+ (sqrt (* a b)) (* 1/2 (sqrt (/ (pow a 3) b)))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* -1/8 (sqrt (/ a (pow b 3)))) (* 1/2 (sqrt (/ 1 (* a b))))))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* 1/2 (sqrt (/ 1 (* a b)))) (* (pow a 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow b 3))))) (* 1/16 (sqrt (/ 1 (* a (pow b 5)))))))))) a)
(/ b a)
(/ (+ a b) a)
b
(+ a b)
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(* -1 (/ b a))
(/ (+ a (* -1 b)) a)
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))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* 1/2 (/ b a)))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a))))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (+ (* 1/16 (/ (pow b 3) (pow a 3))) (* 1/2 (/ b a)))))
(+ 1 (/ b a))
(* a (+ 1 (/ b a)))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(+ 1 (* -1 (/ b 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 (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1/2 (/ b a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/8 (/ (pow b 2) (* a (pow (sqrt -1) 2)))) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow b 2) (pow (sqrt -1) 2))) (* -1/16 (/ (pow b 3) (* a (pow (sqrt -1) 4))))) a)) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (/ (- (* -1 (/ b a)) 1) a))
(+ a (* -1 b))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(+ 1 (* b (+ (* -1/8 (/ b (pow a 2))) (* 1/2 (/ 1 a)))))
(+ 1 (* b (+ (* b (- (* 1/16 (/ b (pow a 3))) (* 1/8 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))))
(+ (/ 1 a) (/ b (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (- (/ a b) 1))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* b (+ (sqrt (/ 1 (* a b))) (* 1/2 (sqrt (/ a (pow b 3))))))
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (* 1/2 (sqrt (/ a (pow b 3)))))))
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (+ (* 1/16 (sqrt (/ (pow a 5) (pow b 7)))) (* 1/2 (sqrt (/ a (pow b 3))))))))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ 1 (/ a b)))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(* b (- (/ 1 b) (/ 1 a)))
(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)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* (sqrt (/ b a)) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (pow a 5) (pow b 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (/ 1 a) (/ 1 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)))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
(/ (+ (* -1 (pow b 2)) (* a (+ b (* -1 b)))) (pow a 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) a)
(/ (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b))))) (pow a 2))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b 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)
(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))
(/ (* b (sqrt -1)) a)
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) a) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) a)
(sqrt (/ b a))
(sqrt.f64 (/.f64 b a))
(/ (+ (sqrt (* a b)) (* 1/2 (sqrt (/ (pow a 3) b)))) a)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 b a))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* -1/8 (sqrt (/ a (pow b 3)))) (* 1/2 (sqrt (/ 1 (* a b))))))) a)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 a a) (sqrt.f64 (.f64 b a))) a)
(/ (+ (sqrt (* a b)) (* (pow a 2) (+ (* 1/2 (sqrt (/ 1 (* a b)))) (* (pow a 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow b 3))))) (* 1/16 (sqrt (/ 1 (* a (pow b 5)))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 b #s(literal 5 binary64)) a))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 b a) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 a a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal 1/2 binary64))) (.f64 a a) (sqrt.f64 (.f64 b a))) a)
(/ b a)
(/.f64 b a)
(/ (+ a b) a)
(/.f64 (+.f64 b a) a)
b
(+ a b)
(+.f64 b a)
(/ b (pow a 2))
(/.f64 (/.f64 b a) a)
(/ (+ a b) (pow a 2))
(/.f64 (/.f64 (+.f64 b a) a) a)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ a (* -1 b)) a)
(/.f64 (-.f64 a b) a)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b 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 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b a)))
a
(* a (+ 1 (* -1 (/ b a))))
(*.f64 (/.f64 (-.f64 a b) 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 (* 1/2 (/ (+ b (* -1 b)) a)))
#s(literal 1 binary64)
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 1 binary64)))
(+ 1 (* 1/2 (/ b a)))
(fma.f64 (/.f64 b a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/2 (/ b a))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) b) a)) a) b #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (pow b 2) (pow a 2))) (+ (* 1/16 (/ (pow b 3) (pow a 3))) (* 1/2 (/ b a)))))
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) b) a)) a) b (.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 1/16 binary64))) #s(literal 1 binary64))
(+ 1 (/ b a))
(/.f64 (+.f64 b a) a)
(* a (+ 1 (/ b a)))
(fma.f64 (/.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 (/ b a)))
(/.f64 (-.f64 a b) a)
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b a) (/.f64 b 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 (sqrt -1) 2)
#s(literal -1 binary64)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
#s(literal -1 binary64)
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 0 binary64)) a) #s(literal -1/2 binary64) #s(literal 0 binary64)) a) #s(literal -1 binary64) #s(literal -1 binary64))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) a) #s(literal -1 binary64) #s(literal 0 binary64)) a) #s(literal -1 binary64) #s(literal -1 binary64))
(+ (* -1/2 (/ b a)) (pow (sqrt -1) 2))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) #s(literal -1 binary64))
(+ (* -1 (/ (+ (* 1/8 (/ (pow b 2) (* a (pow (sqrt -1) 2)))) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 b (/.f64 b a)) (.f64 #s(literal 1/2 binary64) b)) a) #s(literal -1 binary64) #s(literal -1 binary64))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow b 2) (pow (sqrt -1) 2))) (* -1/16 (/ (pow b 3) (* a (pow (sqrt -1) 4))))) a)) (* 1/2 b)) a)) (pow (sqrt -1) 2))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (.f64 (/.f64 (.f64 b b) #s(literal -1 binary64)) #s(literal -1/8 binary64))) (neg.f64 a))) a) #s(literal -1 binary64) #s(literal -1 binary64))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (neg.f64 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)
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
#s(literal 1 binary64)
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a a)) b (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 4 binary64)))) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1/8 (/ b (pow a 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) b) a)) a) b #s(literal 1 binary64))
(+ 1 (* b (+ (* b (- (* 1/16 (/ b (pow a 3))) (* 1/8 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) b) a)) (.f64 a a)) b (/.f64 #s(literal 1/2 binary64) a)) b #s(literal 1 binary64))
(+ (/ 1 a) (/ b (pow a 2)))
(/.f64 (/.f64 (+.f64 b a) a) 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))
(* b (- (/ a b) 1))
(*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(* (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))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) a) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(fma.f64 (fma.f64 (.f64 (/.f64 a (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(fma.f64 (fma.f64 (.f64 (/.f64 a (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* b (+ (sqrt (/ 1 (* a b))) (* 1/2 (sqrt (/ a (pow b 3))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)))) b)
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (* 1/2 (sqrt (/ a (pow b 3)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))))) b)
(* b (+ (sqrt (/ 1 (* a b))) (+ (* -1/8 (sqrt (/ (pow a 3) (pow b 5)))) (+ (* 1/16 (sqrt (/ (pow a 5) (pow b 7)))) (* 1/2 (sqrt (/ a (pow b 3))))))))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)))) (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 7 binary64)))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) b)
(* b (+ (/ 1 a) (/ 1 b)))
(/.f64 (+.f64 b a) a)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(+.f64 (/.f64 (/.f64 b a) b) (/.f64 (/.f64 b a) a))
(* b (- (/ 1 b) (/ 1 a)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) b)
(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)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b))
(* -1 (/ (* b (sqrt -1)) a))
(*.f64 (neg.f64 b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) a) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(.f64 (+.f64 (/.f64 (.f64 (/.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal -1/2 binary64)) (neg.f64 b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(.f64 (+.f64 (/.f64 (.f64 (neg.f64 a) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (neg.f64 b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (neg.f64 b))
(* -1 (* (sqrt (/ b a)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 b a)) #s(literal 1 binary64))
(* -1 (* b (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow b 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (pow a 5) (pow b 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ a (pow b 3)))) (* (sqrt (/ 1 (* a b))) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b a))) #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 1/2 binary64))))) (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (- (/ 1 a) (/ 1 b))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (neg.f64 b))

rewrite199.0ms (3.5%)

Memory

8.0MiB live, 244.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	62	255
1	213	233
2	1594	184
0	8733	184

Stop Event

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

Counts

22 → 2 243

Calls

Call 1

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

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

eval157.0ms (2.8%)

Memory: -6.8MiB live, 225.5MiB allocated
Compiler: Compiled 29 407 to 4 426 computations (84.9% saved)

prune115.0ms (2%)

Memory

0.7MiB live, 66.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	982	3	985
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	984	6	990

Accuracy

100.0%

Counts

990 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
✓	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.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)))))
▶	78.0%	(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)))))
▶	98.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
▶	97.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 121 to 77 computations (36.4% saved)

simplify145.0ms (2.5%)

Memory

-3.7MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	138
0	40	138
1	83	134
2	303	132
3	1861	132
0	9088	132

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.4%)

Memory

-18.0MiB live, 81.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
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	0.01953125	(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	14.478981048492138	(/.f64 b (*.f64 a a))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) b)
accuracy	0.18359375	(/.f64 (/.f64 b a) a)
accuracy	0.6827509457500615	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
accuracy	1.3621706380706633	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Samples

68.0ms

256×

valid

Compiler

Compiled 110 to 29 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 20.0ms (45.1% of total)

ival-mult: 10.0ms (22.6% of total)

ival-sqrt: 5.0ms (11.3% of total)

ival-add: 4.0ms (9% of total)

ival-fabs: 2.0ms (4.5% of total)

ival-sub: 2.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

11 → 37

Calls

Call 1

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

Outputs
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ b (pow a 2))
(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))
(/ b a)
1
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(* -1/2 b)
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 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) (/ b a) (/ b (* a a)))
2.0ms	b	@	-inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 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) (/ b a) (/ b (* a a)))
1.0ms	b	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 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) (/ b a) (/ b (* a a)))
1.0ms	a	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 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) (/ b a) (/ b (* a a)))
1.0ms	a	@	-inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ (/ b a) a)) 1) (* -1/2 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) (/ b a) (/ b (* a a)))

simplify93.0ms (1.6%)

Memory

-9.6MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	611
1	722	441
2	4119	341
0	10225	319

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ b (pow a 2))
(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))
(/ b a)
1
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
-1
(- (/ (pow b 2) (pow a 2)) 1)
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(* -1/2 b)
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))

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

rewrite162.0ms (2.8%)

Memory

10.8MiB live, 152.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	127
0	40	124
1	167	116
2	1305	92
0	8898	90

Stop Event

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

Counts

11 → 241

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))
#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (.f64 #s(literal -1/2 binary64) b)) (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (.f64 #s(literal -1/2 binary64) b)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a)) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))))) (.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64)))) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 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)) (.f64 #s(literal -1/2 binary64) b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (.f64 #s(literal -1/2 binary64) b)) (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (.f64 #s(literal -1/2 binary64) b)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (/.f64 b a) a)) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a)) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (/.f64 (/.f64 b a) a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) (-.f64 (.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (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 -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (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 -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 a))) (/.f64 (*.f64 b b) (neg.f64 (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 a)) (/.f64 (*.f64 (neg.f64 b) b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (neg.f64 a))) (/.f64 b (neg.f64 (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (neg.f64 a))) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 a)) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 (neg.f64 a))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (neg.f64 a))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 b a) a) #s(literal -1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 b a) a)) b #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) (.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.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 (-.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 (neg.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.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))))))
(/.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 (-.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 2 binary64)))
(/.f64 (fma.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 (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 -1 binary64))) (pow.f64 (-.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 2 binary64)))
(/.f64 (sqrt.f64 (*.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)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (-.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 (sqrt.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)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.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 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (-.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 (sqrt.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 (-.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (.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)) #s(literal 1 binary64)))) (sqrt.f64 (.f64 (-.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 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.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) (*.f64 (neg.f64 b) (/.f64 (/.f64 b a) a))))
(/.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 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #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 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #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 (fabs.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (*.f64 (pow.f64 (/.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 (-.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #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 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) a) (/.f64 (neg.f64 (neg.f64 b)) a) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 (neg.f64 a))) (/.f64 b (neg.f64 (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 (neg.f64 a))) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (/.f64 b (*.f64 (neg.f64 a) a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b (neg.f64 (neg.f64 a))) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (/.f64 (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 (/.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 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 b a) a)) b))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 b) (/.f64 (/.f64 b a) a)))
(fabs.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 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)))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (/.f64 b a) a)) b) #s(literal -1 binary64)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (/.f64 b a) a)) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fabs.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))))
(fabs.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (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 #s(literal -1 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 (/.f64 #s(literal -1 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 (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 (/.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 (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 (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 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 b) (neg.f64 a))
(/.f64 b a)
(neg.f64 (/.f64 (neg.f64 b) a))
(sqrt.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (neg.f64 b) a))
(fabs.f64 (/.f64 b a))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 a) a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 b (*.f64 (neg.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 b (*.f64 (neg.f64 a) a)))
(fabs.f64 (/.f64 (/.f64 b a) a))

eval26.0ms (0.5%)

Memory: -14.4MiB live, 32.1MiB allocated
Compiler: Compiled 7 037 to 754 computations (89.3% saved)

prune4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	181	7	188

Accuracy

100.0%

Counts

188 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
✓	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.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)))))
✓	78.0%	(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)))))
✓	98.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
▶	76.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
✓	97.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 145 to 93 computations (35.9% saved)

simplify57.0ms (1%)

Memory

17.0MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	49
0	21	49
1	41	49
2	101	49
3	294	49
4	787	49
5	1479	49
6	2206	49
7	2256	49
8	2256	49
0	2256	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.9%)

Memory

43.1MiB live, 86.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) b)
accuracy	0.6827509457500615	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
accuracy	14.478981048492138	(/.f64 b (*.f64 a a))

Samples

40.0ms

256×

valid

Compiler

Compiled 41 to 18 computations (56.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 16.0ms (50.3% of total)

ival-mult: 6.0ms (18.9% of total)

ival-div: 5.0ms (15.7% of total)

ival-sqrt: 3.0ms (9.4% of total)

ival-sub: 1.0ms (3.1% 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)

series18.0ms (0.3%)

Memory

-19.0MiB live, 23.1MiB allocated

Counts

5 → 29

Calls

Call 1

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

Outputs
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ b (pow a 2))
(pow a 2)
1
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(* -1/2 b)
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	a	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ b (* a a))) 1) (* -1/2 b) (/ b (* a a)) (* a a))
1.0ms	b	@	inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ b (* a a))) 1) (* -1/2 b) (/ b (* a a)) (* a a))
1.0ms	b	@	-inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ b (* a a))) 1) (* -1/2 b) (/ b (* a a)) (* a a))
1.0ms	a	@	inf	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ b (* a a))) 1) (* -1/2 b) (/ b (* a a)) (* a a))
1.0ms	b	@	0	((* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (+ (* (* -1/2 b) (/ b (* a a))) 1) (* -1/2 b) (/ b (* a a)) (* a a))

simplify207.0ms (3.6%)

Memory

17.6MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	684
1	695	432
2	4047	410
0	8563	385

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(/ (* b (sqrt -1)) a)
(/ (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1))) a)
(/ (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1))) a)
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ b (pow a 2))
(pow a 2)
1
(+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))
(+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))
(+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))
(+ 1 (* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2))))
(+ 1 (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) (pow a 2))) (* 1/2 (/ (+ a (* -1 a)) (pow a 2))))))
(+ 1 (* b (+ (* 1/2 (/ (+ a (* -1 a)) (pow a 2))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (pow a 2))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 4))))))))
(* -1/2 b)
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a)))
(* b (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a))))
(* b (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* (pow b 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (+ (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* (pow b 2) (sqrt -1))))) (/ (sqrt -1) a)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1 (/ (* b (sqrt -1)) a))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (* a (* b (sqrt -1))))) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (* b (sqrt -1))))) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* a (* b (pow (sqrt -1) 3))))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* a (sqrt -1))))) b)) (* 1/2 (/ (+ a (* -1 a)) (* a (sqrt -1))))) b)) (/ (sqrt -1) a))))

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

rewrite103.0ms (1.8%)

Memory

-15.6MiB live, 76.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
0	21	44
1	93	44
2	625	38
0	8669	36

Stop Event

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

Counts

5 → 105

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 4 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64))) b #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) a)) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 a)) (/.f64 (*.f64 b b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 b a) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b b)) a) (/.f64 #s(literal 1 binary64) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 b a) b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64)) b #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) b) a) (.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b (.f64 a a)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 b (.f64 a a)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (neg.f64 a) a)) #s(literal 1 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (.f64 a a)) (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 b (.f64 (.f64 (/.f64 b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) b)) (/.f64 b (*.f64 a a))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))
(.f64 (.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 b #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) b)
(*.f64 b #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 b (.f64 a a)))
(.f64 (/.f64 b (.f64 a a)) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (neg.f64 a) a))
(/.f64 (.f64 b #s(literal 1 binary64)) (.f64 a a))
(/.f64 (*.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 b) a) (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 (/.f64 (neg.f64 b) a) a) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.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 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))))

eval16.0ms (0.3%)

Memory: 18.9MiB live, 18.9MiB allocated
Compiler: Compiled 5 080 to 537 computations (89.4% saved)

prune6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	128	7	135

Accuracy

100.0%

Counts

135 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(sqrt.f64 (fabs.f64 (.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))))
✓	100.0%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) (/.f64 (fma.f64 (/.f64 b a) (neg.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)))))
✓	78.0%	(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)))))
✓	98.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal 1 binary64)))
✓	76.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (/.f64 b (.f64 a a)) #s(literal 1 binary64)))
✓	97.9%	#s(approx (* (sqrt (/ (+ b a) a)) (sqrt (/ (- a b) a))) #s(literal 1 binary64))

Compiler

Compiled 331 to 153 computations (53.8% saved)

regimes86.0ms (1.5%)

Memory

-15.4MiB live, 37.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

7 calls:

70.0ms	b
3.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Results

Accuracy	Segments	Branch
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)

regimes20.0ms (0.4%)

Memory

-28.6MiB live, 19.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

6.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
3.0ms	b
3.0ms	a
2.0ms	(*.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)

regimes13.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 b b)`
98.9%	1	`(*.f64 a a)`
98.9%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.9%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.9%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.9%	1	`a`
98.9%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes9.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total -13.7b remaining (-1007%)

Threshold costs -13.7b (-1007%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f64 b b)`
97.9%	1	`(*.f64 a a)`
97.9%	1	`a`
97.9%	1	`b`
97.9%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
97.9%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
97.9%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify51.0ms (0.9%)

Memory

-22.7MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	85
1	69	81
2	247	81
3	1483	81

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations360.0ms (6.3%)

Memory

18.7MiB live, 160.2MiB 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
0	396	1559
1	1337	1078
2	7180	1068
0	8130	1011
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
1×	node limit
1×	iter limit

Compiler

Compiled 85 to 33 computations (61.2% saved)

preprocess27.0ms (0.5%)

Memory

-12.7MiB live, 33.8MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 288 to 134 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample2.2s (38.3%)

explain165.0ms (2.9%)

preprocess152.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify162.0ms (2.9%)

localize55.0ms (1%)

series5.0ms (0.1%)

simplify345.0ms (6.1%)

rewrite87.0ms (1.5%)

eval43.0ms (0.8%)

prune6.0ms (0.1%)

simplify188.0ms (3.3%)

localize101.0ms (1.8%)

series45.0ms (0.8%)

simplify125.0ms (2.2%)

rewrite199.0ms (3.5%)

eval157.0ms (2.8%)

prune115.0ms (2%)

simplify145.0ms (2.5%)

localize81.0ms (1.4%)

series10.0ms (0.2%)

simplify93.0ms (1.6%)

rewrite162.0ms (2.8%)

eval26.0ms (0.5%)

prune4.0ms (0.1%)

simplify57.0ms (1%)

localize48.0ms (0.9%)

series18.0ms (0.3%)

simplify207.0ms (3.6%)

rewrite103.0ms (1.8%)

eval16.0ms (0.3%)

prune6.0ms (0.1%)

regimes86.0ms (1.5%)

regimes20.0ms (0.4%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

simplify51.0ms (0.9%)

derivations360.0ms (6.3%)

preprocess27.0ms (0.5%)

end0.0ms (0%)

Profiling