Metrics for Eccentricity of an ellipse

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.5%)

Memory

-22.7MiB live, 16.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.4s (27.3%)

Memory

47.5MiB live, 1 022.4MiB allocated

Samples

816.0ms	8 256×	0	valid
118.0ms	776×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 189.0ms (28.9% of total)

ival-<=: 156.0ms (23.9% of total)

ival-sqrt: 92.0ms (14.1% of total)

ival-div: 89.0ms (13.6% of total)

ival-fabs: 48.0ms (7.3% of total)

ival-sub: 44.0ms (6.7% of total)

ival-and: 20.0ms (3.1% of total)

exact: 12.0ms (1.8% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain185.0ms (3.6%)

Memory

7.0MiB live, 123.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
65	-	-	`(/.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	65	0
↳	`(*.f64 b b)`	underflow	185
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	65
↳	`(*.f64 a a)`	underflow	65
↳	`(*.f64 a a)`	underflow	65

Confusion

	Predicted +	Predicted -
+	65	0
-	0	191

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	0	0	191

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	191
1	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

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 (36.6% of total)

ival-div: 3.0ms (15.7% of total)

ival-fabs: 3.0ms (15.7% of total)

ival-sqrt: 3.0ms (15.7% of total)

ival-sub: 2.0ms (10.5% of total)

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

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

preprocess173.0ms (3.3%)

Memory

-16.0MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	85	57
2	338	57
3	2483	57
4	6466	57
0	8	13
0	14	13
1	30	11
2	75	11
3	199	11
4	484	11
5	1735	11
6	5661	11
0	8206	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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify165.0ms (3.2%)

Memory

-14.9MiB live, 190.3MiB 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	30	45
2	75	45
3	199	45
4	484	45
5	1735	45
6	5661	45
0	8206	43

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

-3.4MiB live, 35.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	15.746272568456867	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

16.0ms

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 (32% of total)

ival-div: 2.0ms (21.3% of total)

ival-sqrt: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.7% of total)

ival-fabs: 1.0ms (10.7% of total)

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

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

series6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

5 → 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))
(*.f64 a a)

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))
(pow a 2)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(+ (* -1 (pow b 2)) (pow a 2))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))

Calls

6 calls:

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

simplify144.0ms (2.8%)

Memory

19.2MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	55	92
2	165	92
3	709	92
4	3805	92
0	8073	90

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

rewrite199.0ms (3.9%)

Memory

-20.6MiB live, 231.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	46
0	14	46
1	58	40
2	431	34
3	4348	34
0	8229	34

Stop Event

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

Counts

5 → 416

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))
(*.f64 a a)

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (/.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))
(.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 b a)) (-.f64 a b))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 b a) a)) (/.f64 (-.f64 a b) a))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (pow.f64 a #s(literal -2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (*.f64 a a))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 a b) a) a))
(*.f64 (/.f64 (neg.f64 (+.f64 b a)) a) (/.f64 (-.f64 a b) (neg.f64 a)))
(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))))
(*.f64 (/.f64 (+.f64 b a) (neg.f64 a)) (/.f64 (neg.f64 (-.f64 a b)) a))
(.f64 (/.f64 (+.f64 b a) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 a b)) (.f64 a a)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a) (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) a))
(*.f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 b a))
(.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal -2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 b a)) (/.f64 (-.f64 a b) (.f64 (neg.f64 a) a)))
(.f64 (neg.f64 (+.f64 b a)) (.f64 (-.f64 a b) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 a #s(literal -2 binary64))) (.f64 (+.f64 b a) (-.f64 b a)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 a (/.f64 (.f64 b b) a)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 b a) #s(literal 4 binary64))) (pow.f64 (/.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))
(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
(.f64 (neg.f64 (-.f64 a (/.f64 (.f64 b b) a))) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(.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 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))
(.f64 (-.f64 a (/.f64 (.f64 b b) a)) (pow.f64 a #s(literal -1 binary64)))
(.f64 (-.f64 a b) (.f64 (+.f64 b a) (pow.f64 a #s(literal -2 binary64))))
(.f64 (-.f64 a b) (/.f64 (+.f64 b a) (.f64 a a)))
(.f64 (+.f64 b a) (.f64 (/.f64 (-.f64 a b) a) (pow.f64 a #s(literal -1 binary64))))
(.f64 (+.f64 b a) (.f64 (neg.f64 (-.f64 a b)) (neg.f64 (pow.f64 a #s(literal -2 binary64)))))
(*.f64 (+.f64 b a) (/.f64 (/.f64 (-.f64 a b) a) a))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 b b (.f64 a a))))
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(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 (neg.f64 (neg.f64 a)) a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a) (.f64 (neg.f64 b) b))
(fma.f64 #s(literal -1 binary64) (.f64 b b) (.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 a (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (-.f64 a b) b (*.f64 (-.f64 a b) a))
(fma.f64 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (+.f64 b a) a (*.f64 (+.f64 b a) (neg.f64 b)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 (neg.f64 b) b))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 a a) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (.f64 b b) #s(literal -1 binary64) (.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(fma.f64 b (-.f64 a b) (*.f64 a (-.f64 a b)))
(fma.f64 (.f64 a a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(fma.f64 (.f64 a a) (/.f64 (.f64 a a) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (neg.f64 b) b))
(fma.f64 a (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(fma.f64 a (/.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 a (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 a (+.f64 b a) (*.f64 (neg.f64 b) (+.f64 b a)))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (fma.f64 a a #s(literal 0 binary64)) (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 b a) (-.f64 b a)))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b)))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 a (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a)))
(+.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a))
(+.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) (neg.f64 b)))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))))
(+.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(*.f64 (neg.f64 (neg.f64 a)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 a) a))
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 (.f64 a a) #s(literal 1 binary64))
(*.f64 a (/.f64 a #s(literal 1 binary64)))
(*.f64 a (neg.f64 (neg.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(/.f64 (*.f64 a a) #s(literal 1 binary64))
(/.f64 a (pow.f64 a #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 a) a))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) a))
(fabs.f64 (-.f64 (*.f64 a a) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval63.0ms (1.2%)

Memory: -11.4MiB live, 110.0MiB allocated
Compiler: Compiled 9 570 to 1 905 computations (80.1% saved)

prune13.0ms (0.3%)

Memory

-14.8MiB live, 24.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	445	5	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	446	5	451

Accuracy

100.0%

Counts

451 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
▶	74.6%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
▶	99.7%	(sqrt.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))))
▶	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
▶	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Compiler

Compiled 154 to 104 computations (32.5% saved)

simplify120.0ms (2.3%)

Memory

33.8MiB live, 113.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fabs.f64 (.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))))
cost-diff	1	(fabs.f64 (.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b)))
cost-diff	2	(pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
cost-diff	2	(.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
cost-diff	3	(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
cost-diff	0	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
cost-diff	0	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
cost-diff	0	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
cost-diff	0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))
cost-diff	0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	282
0	56	272
1	99	258
2	192	250
3	457	248
4	1460	248
5	7709	248
0	8267	248

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (2.7%)

Memory

-28.8MiB live, 132.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 a (/.f64 a (+.f64 b a)))
accuracy	0.02734375	(/.f64 a (+.f64 b a))
accuracy	0.04296875	(pow.f64 (*.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64))
accuracy	0.20703125	(.f64 (pow.f64 (.f64 a (/.f64 a (+.f64 b a))) #s(literal -1 binary64)) (-.f64 a b))
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a)))
accuracy	15.746272568456867	(/.f64 (fabs.f64 (.f64 (-.f64 a b) (+.f64 b a))) (.f64 a a))
accuracy	0.0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	0.0	(fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0.00390625	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) a)
accuracy	16.143335986935327	(sqrt.f64 (fabs.f64 (*.f64 (-.f64 a b) (+.f64 b a))))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	0.8624815294116651	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
accuracy	0.00390625	(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	0.23046875	(/.f64 (/.f64 b a) a)

Samples

74.0ms

256×

valid

Compiler

Compiled 260 to 31 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 28.0ms (49.3% of total)

ival-mult: 9.0ms (15.9% of total)

ival-sqrt: 6.0ms (10.6% of total)

ival-fabs: 5.0ms (8.8% of total)

ival-pow: 3.0ms (5.3% of total)

ival-add: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory

20.8MiB live, 59.5MiB allocated

Counts

21 → 94

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (* (pow (* a (/ a (+ b a))) -1) (- a b)) (pow (* a (/ a (+ b a))) -1) (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b))) (sqrt (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b)))) (/ (/ b a) a) (* a a) (/ a (+ b a)) (* a (/ a (+ b a))))
6.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (* (pow (* a (/ a (+ b a))) -1) (- a b)) (pow (* a (/ a (+ b a))) -1) (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b))) (sqrt (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b)))) (/ (/ b a) a) (* a a) (/ a (+ b a)) (* a (/ a (+ b a))))
4.0ms	a	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (* (pow (* a (/ a (+ b a))) -1) (- a b)) (pow (* a (/ a (+ b a))) -1) (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b))) (sqrt (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b)))) (/ (/ b a) a) (* a a) (/ a (+ b a)) (* a (/ a (+ b a))))
4.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (* (pow (* a (/ a (+ b a))) -1) (- a b)) (pow (* a (/ a (+ b a))) -1) (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b))) (sqrt (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b)))) (/ (/ b a) a) (* a a) (/ a (+ b a)) (* a (/ a (+ b a))))
3.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ (/ b a) a) b) -1)) (+ (* (/ (/ b a) a) b) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (/ (sqrt (fabs (* (- a b) (+ b a)))) a) (sqrt (fabs (* (- a b) (+ b a)))) (fabs (* (- a b) (+ b a))) (* (- a b) (+ b a)) (/ (fabs (* (- a b) (+ b a))) (* a a)) (sqrt (/ (fabs (* (- a b) (+ b a))) (* a a))) (* (pow (* a (/ a (+ b a))) -1) (- a b)) (pow (* a (/ a (+ b a))) -1) (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b))) (sqrt (fabs (* (pow (* a (/ a (+ b a))) -1) (- a b)))) (/ (/ b a) a) (* a a) (/ a (+ b a)) (* a (/ a (+ b a))))

simplify184.0ms (3.6%)

Memory

-3.5MiB live, 152.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1165
1	839	1010
2	2300	978
0	8606	934

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

Calls

Call 1

Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (pow a 2)) (pow a 2))
(* (/ 1 a) (sqrt (fabs (* (+ a b) (- a b)))))
(sqrt (fabs (* (+ a b) (- a b))))
(fabs (* (+ a b) (- a b)))
(* -1 (pow b 2))
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(/ (fabs (* (+ a b) (- a b))) (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))
(/ b (pow a 2))
(/ (+ a b) (pow a 2))
(fabs (/ (* (+ a b) (- a b)) (pow a 2)))
(sqrt (fabs (/ (* (+ a b) (- a b)) (pow a 2))))
(pow a 2)
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(+ 1 (+ (* -1 (/ b a)) (/ b a)))
(+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(/ 1 a)
(/ (+ 1 (/ b a)) a)
(+ 1 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))))
(* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))))
(sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))
(fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(/ (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))) (pow a 2))
(* -1 (* (/ 1 a) (sqrt (fabs (* -1 (* (+ b (* -1 a)) (- b (* -1 a))))))))
(+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a)))
(* -1 (/ (- (* -1 (/ b a)) 1) 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 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (/ 1 a) (/ b (pow a 2)))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ a (* -1 b))
(+ a (* b (- (/ b a) 1)))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (+ (/ 1 (* a b)) (/ 1 (pow a 2))))
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(* (/ 1 a) (sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b))))))
(sqrt (fabs (* (+ a (* -1 b)) (- a (* -1 b)))))
(fabs (* (+ a (* -1 b)) (- a (* -1 b))))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(/ (fabs (* (+ a (* -1 b)) (- a (* -1 b)))) (pow a 2))
(fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2)))
(sqrt (fabs (/ (* (+ a (* -1 b)) (- a (* -1 b))) (pow a 2))))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))

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

rewrite204.0ms (3.9%)

Memory

2.7MiB live, 160.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	235
0	56	221
1	207	205
2	1364	181
0	8402	181

Stop Event

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

Counts

21 → 1 251

Calls

Call 1

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

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

eval215.0ms (4.2%)

Memory: 0.5MiB live, 185.6MiB allocated
Compiler: Compiled 36 158 to 5 323 computations (85.3% saved)

prune54.0ms (1%)

Memory

5.1MiB live, 57.2MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1 314	2	1 316
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 317	4	1 321

Accuracy

100.0%

Counts

1 321 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
▶	75.4%	(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)))))

Compiler

Compiled 74 to 47 computations (36.5% saved)

simplify202.0ms (3.9%)

Memory

12.3MiB live, 123.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	129
0	34	126
1	66	122
2	144	115
3	361	115
4	1004	115
5	4220	115
0	8169	115

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (2.4%)

Memory

-24.5MiB live, 70.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))))
accuracy	0.0234375	(/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))
accuracy	0.0234375	(*.f64 (/.f64 a (+.f64 b a)) a)
accuracy	0.02734375	(/.f64 a (+.f64 b a))
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.00390625	(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	16.48535329488207	(/.f64 b (*.f64 a a))

Samples

111.0ms

256×

valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 43.0ms (42.9% of total)

ival-mult: 33.0ms (32.9% of total)

ival-fabs: 15.0ms (15% of total)

ival-sub: 3.0ms (3% of total)

ival-sqrt: 3.0ms (3% of total)

ival-add: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

11 → 65

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (3.1%)

Memory

5.1MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	868
1	695	769
2	1916	721
3	7013	719
0	8297	680

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(sqrt (fabs (/ (- (pow a 2) (pow b 2)) (pow a 2))))
(fabs (/ (- (pow a 2) (pow b 2)) (pow a 2)))
(fabs (- (/ (pow b 2) (pow a 2)) 1))
(/ (pow b 2) (pow a 2))
(/ (+ (* -1 (pow a 2)) (pow b 2)) (pow a 2))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1 (pow b 2)) (* 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)
(/ b (pow a 2))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* a (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* a (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
(/ (pow a 2) b)
(* (pow a 2) (+ (* -1 (/ a (pow b 2))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b)))
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b)))
-1
(- (/ (pow b 2) (pow a 2)) 1)
1
(+ 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 (* -1 (/ b a)))
(- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a))
(- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))
(* a (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ 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)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow b 2) a)) (* -1 b)) a)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow b 3) a)) (* -1 (pow b 2))) a)) (* -1 b)) a)))
(* -1 (* a (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1)))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1)))
(+ 1 (* -1 (/ (pow b 2) (pow a 2))))
(+ a (* -1 b))
(+ 1 (* b (- (/ b (pow a 2)) (/ 1 a))))
(+ 1 (* b (- (* b (+ (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))) (/ 1 a))))
(+ a (* b (- (/ b a) 1)))
(+ a (* b (- (* b (+ (* -1 (/ b (pow a 2))) (/ 1 a))) 1)))
(* (pow b 2) (- (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(* (pow b 2) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))
(* b (- (/ a b) 1))
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (- (+ a (/ (pow a 3) (pow b 2))) (/ (pow a 2) b)) b)
(/ (- (+ a (* -1 (/ (pow a 4) (pow b 3)))) (+ (* -1 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))) b)
(/ (+ (* -1 (/ (pow a 3) b)) (pow a 2)) b)
(/ (- (+ (/ (pow a 4) (pow b 2)) (pow a 2)) (/ (pow a 3) b)) b)
(/ (- (+ (* -1 (/ (pow a 5) (pow b 3))) (pow a 2)) (+ (* -1 (/ (pow a 4) (pow b 2))) (/ (pow a 3) b))) b)
(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 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (pow a 2)) b))) b))
(* -1 (/ (+ (* -1 (pow a 2)) (/ (pow a 3) b)) b))
(* -1 (/ (+ (* -1 (/ (- (/ (pow a 4) b) (pow a 3)) b)) (* -1 (pow a 2))) b))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow a 5) b) (pow a 4)) b)) (pow a 3)) b)) (* -1 (pow a 2))) b))

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

rewrite175.0ms (3.4%)

Memory

-8.0MiB live, 109.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	118
0	34	115
1	146	104
2	1076	94
0	8599	94

Stop Event

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

Counts

11 → 1 000

Calls

Call 1

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

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

eval315.0ms (6.1%)

Memory: -1.5MiB live, 152.3MiB allocated
Compiler: Compiled 28 076 to 4 358 computations (84.5% saved)

prune40.0ms (0.8%)

Memory

1.3MiB live, 41.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	964	0	964
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	964	4	968

Accuracy

100.0%

Counts

968 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))))
✓	98.7%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
✓	100.0%	(sqrt.f64 #s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))))
✓	75.4%	(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)))))

Compiler

Compiled 200 to 94 computations (53% saved)

regimes16.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a b) (*.f64 (/.f64 a (+.f64 b a)) a))))

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes122.0ms (2.4%)

Memory

-31.6MiB live, 14.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

111.0ms	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	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes11.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total -16.7b remaining (-2007.8%)

Threshold costs -16.7b (-2007.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify82.0ms (1.6%)

Memory

-7.7MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	51
1	54	47
2	128	47
3	314	47
4	737	47
5	2374	47
6	6850	47

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

soundness518.0ms (10%)

Memory

0.7MiB live, 197.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	102
1	55	92
2	165	92
3	709	92
4	3805	92
0	8073	90
0	33	235
0	56	221
1	207	205
2	1364	181
0	8402	181
0	8	46
0	14	46
1	58	40
2	431	34
3	4348	34
0	8229	34

Stop Event

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

Compiler

Compiled 133 to 73 computations (45.1% saved)

preprocess42.0ms (0.8%)

Memory

2.1MiB live, 40.4MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 232 to 138 computations (40.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.5%)

sample1.4s (27.3%)

explain185.0ms (3.6%)

preprocess173.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify165.0ms (3.2%)

localize23.0ms (0.4%)

series6.0ms (0.1%)

simplify144.0ms (2.8%)

rewrite199.0ms (3.9%)

eval63.0ms (1.2%)

prune13.0ms (0.3%)

simplify120.0ms (2.3%)

localize138.0ms (2.7%)

series30.0ms (0.6%)

simplify184.0ms (3.6%)

rewrite204.0ms (3.9%)

eval215.0ms (4.2%)

prune54.0ms (1%)

simplify202.0ms (3.9%)

localize123.0ms (2.4%)

series8.0ms (0.2%)

simplify158.0ms (3.1%)

rewrite175.0ms (3.4%)

eval315.0ms (6.1%)

prune40.0ms (0.8%)

regimes16.0ms (0.3%)

regimes122.0ms (2.4%)

regimes11.0ms (0.2%)

simplify82.0ms (1.6%)

soundness518.0ms (10%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling