Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze53.0ms (1.5%)

Memory

-26.8MiB live, 15.2MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 25 to 16 computations (36% saved)

sample1.3s (35.8%)

Memory

79.0MiB live, 1 516.5MiB allocated; 258ms collecting garbage

Samples

856.0ms	8 256×	0	valid
79.0ms	826×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 659.0ms

ival-mult: 226.0ms (34.3% of total)

ival-<=: 174.0ms (26.4% of total)

ival-sqrt: 81.0ms (12.3% of total)

ival-sub: 51.0ms (7.7% of total)

ival-div: 49.0ms (7.4% of total)

ival-fabs: 41.0ms (6.2% of total)

ival-and: 18.0ms (2.7% of total)

exact: 12.0ms (1.8% of total)

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

adjust: 3.0ms (0.5% of total)

Bogosity

explain102.0ms (2.8%)

Memory

-5.8MiB live, 142.0MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
52	-	-	`(/.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	52	0
↳	`(*.f64 b b)`	underflow	178
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	52
↳	`(*.f64 a a)`	underflow	52
↳	`(*.f64 a a)`	underflow	52

Confusion

	Predicted +	Predicted -
+	52	0
-	0	204

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	0
-	0	0	204

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 119 to 28 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (61.3% of total)

ival-div: 3.0ms (10.8% of total)

ival-sqrt: 3.0ms (10.8% of total)

ival-sub: 2.0ms (7.2% of total)

ival-fabs: 2.0ms (7.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess108.0ms (3%)

Memory

-30.1MiB live, 109.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs a)

(abs b)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify145.0ms (4%)

Memory

20.0MiB live, 91.4MiB allocated; 102ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	51
0	14	51
1	37	45
2	204	45
3	2138	45
0	8528	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 (neg.f64 b) (/.f64 b a) a) a)
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 a a)
a
(*.f64 b b)
b

localize26.0ms (0.7%)

Memory

-15.3MiB live, 32.8MiB allocated; 7ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
accuracy	0.00390625	(-.f64 (.f64 a a) (.f64 b b))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
accuracy	12.6095180638608	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Samples

19.0ms

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 (34% of total)

ival-sqrt: 2.0ms (22.7% of total)

ival-sub: 1.0ms (11.3% of total)

ival-div: 1.0ms (11.3% of total)

ival-fabs: 1.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

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

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

Calls

6 calls:

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

simplify171.0ms (4.7%)

Memory

-27.0MiB live, 117.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	249
1	99	225
2	480	225
3	5581	225
0	8107	220

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

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

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

rewrite49.0ms (1.3%)

Memory

-4.9MiB live, 42.2MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	43
0	14	43
1	60	37
0	560	37

Stop Event

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

Counts

4 → 80

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: 10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 580 to 416 computations (73.7% saved)

prune4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
▶	79.7%	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
▶	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
▶	98.6%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))

Compiler

Compiled 152 to 102 computations (32.9% saved)

simplify116.0ms (3.2%)

Memory

-8.6MiB live, 83.7MiB allocated; 5ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	272
0	61	260
1	140	239
2	487	239
3	3940	239
0	8327	239

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

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

localize110.0ms (3%)

Memory

13.9MiB live, 64.7MiB allocated; 5ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
accuracy	0.02734375	(/.f64 (+.f64 b a) a)
accuracy	0.04296875	(/.f64 (-.f64 a b) a)
accuracy	0.046875	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
accuracy	0.0	(*.f64 a a)
accuracy	0.0	(fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
accuracy	12.6095180638608	(/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))
accuracy	0.0	(neg.f64 b)
accuracy	0.0	(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a))))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)))))
accuracy	28.061500377168006	(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
accuracy	0.0	(fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))
accuracy	0.9727462990128692	#s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))
accuracy	0.0	(/.f64 b a)
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
accuracy	0.0078125	(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)))))

Samples

90.0ms

256×

valid

Compiler

Compiled 250 to 33 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-add: 29.0ms (39.1% of total)

ival-sqrt: 19.0ms (25.6% of total)

ival-mult: 9.0ms (12.1% of total)

ival-div: 8.0ms (10.8% of total)

ival-fabs: 5.0ms (6.7% of total)

ival-sub: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (1.3%)

Memory

-25.0MiB live, 20.8MiB allocated; 7ms collecting garbage

Counts

23 → 80

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg 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) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (* a a) (/ (- a b) a))
4.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg 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) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (* a a) (/ (- a b) a))
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (fabs (+ (* (/ b a) (/ b a)) -1)) (+ (* (/ b a) (/ b a)) -1) (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) (fabs (+ 1 (/ (* (neg b) b) (* a a)))) (+ 1 (/ (* (neg b) b) (* a a))) (sqrt (fabs (+ 1 (/ (* (neg b) b) (* a a))))) (/ (* (neg b) b) (* a a)) (/ (* (- a b) (+ b a)) (* a a)) (fabs (/ (* (- a b) (+ b a)) (* a a))) (sqrt (fabs (/ (* (- a b) (+ b a)) (* a a)))) (* (- a b) (+ b a)) (* (/ (+ b a) a) (/ (- a b) a)) (fabs (* (/ (+ b a) a) (/ (- a b) a))) (sqrt (fabs (* (/ (+ b a) a) (/ (- a b) a)))) (/ (+ b a) a) (/ b a) (neg b) (* a a) (/ (- a b) a))

simplify92.0ms (2.5%)

Memory

29.1MiB live, 74.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	1584
1	551	1367
2	2129	1363
0	8306	1316

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 80

Calls

Call 1

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

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

rewrite112.0ms (3.1%)

Memory

-15.6MiB live, 82.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	242
0	61	223
1	230	183
0	1836	183

Stop Event

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

Counts

23 → 491

Calls

Call 1

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

eval54.0ms (1.5%)

Memory: 12.1MiB live, 57.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 817 to 1 475 computations (78.4% saved)

prune8.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	337	5	342

Accuracy

100.0%

Counts

342 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
✓	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
✓	98.6%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify153.0ms (4.2%)

Memory

4.4MiB live, 97.3MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
0	16	44
1	32	44
2	99	44
3	355	44
4	1752	44
5	7728	44
0	8063	42

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (2.3%)

Memory

-2.2MiB live, 50.0MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 b)
accuracy	0.0	(fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64)))
accuracy	0.0078125	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))))
accuracy	12.87896389821893	(/.f64 (neg.f64 b) (*.f64 a a))

Samples

60.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (29.4% of total)

ival-div: 2.0ms (19.6% of total)

ival-add: 1.0ms (9.8% of total)

ival-fabs: 1.0ms (9.8% of total)

ival-sqrt: 1.0ms (9.8% of total)

ival-neg: 1.0ms (9.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.7%)

Memory

-39.6MiB live, 7.5MiB allocated; 4ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	a	@	inf	((fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (neg b))
1.0ms	b	@	inf	((fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (neg b))
1.0ms	b	@	-inf	((fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (neg b))
1.0ms	a	@	0	((fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (neg b))
1.0ms	b	@	0	((fabs (+ (* b (/ (neg b) (* a a))) 1)) (sqrt (fabs (+ (* b (/ (neg b) (* a a))) 1))) (+ (* b (/ (neg b) (* a a))) 1) (/ (neg b) (* a a)) (neg b))

simplify134.0ms (3.7%)

Memory

30.2MiB live, 122.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	217
1	86	198
2	294	198
3	2390	198
0	8888	190

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite46.0ms (1.3%)

Memory

-15.6MiB live, 36.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
0	16	38
1	55	38
0	343	38

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 44

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 939 to 211 computations (77.5% saved)

prune3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	52	5	57

Accuracy

100.0%

Counts

57 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
✓	98.6%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))
▶	80.3%	(sqrt.f64 #s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 86 to 57 computations (33.7% saved)

simplify244.0ms (6.7%)

Memory

-13.3MiB live, 260.9MiB allocated; 29ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	71
0	22	71
1	45	69
2	137	67
3	548	67
4	3116	67
0	8263	67

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.9%)

Memory

14.3MiB live, 61.1MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
accuracy	0.0	#s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
accuracy	0.0078125	(sqrt.f64 #s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))
accuracy	12.87896389821893	(/.f64 b (*.f64 a a))

Samples

25.0ms

256×

valid

Compiler

Compiled 55 to 17 computations (69.1% saved)

Precisions

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

ival-mult: 4.0ms (23.8% of total)

ival-div: 3.0ms (17.8% of total)

ival-neg: 3.0ms (17.8% of total)

ival-add: 2.0ms (11.9% of total)

ival-fabs: 2.0ms (11.9% of total)

ival-sqrt: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

simplify82.0ms (2.2%)

Memory

6.8MiB live, 107.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	227
1	98	217
2	318	211
3	1553	211
0	9235	194

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite51.0ms (1.4%)

Memory

3.6MiB live, 50.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	22	65
1	83	61
0	595	61

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 40

Calls

Call 1

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

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

eval13.0ms (0.3%)

Memory: -31.5MiB live, 15.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 423 to 231 computations (83.8% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	47	5	52

Accuracy

100.0%

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.7%	(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
✓	100.0%	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
✓	98.6%	(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 b a) (/.f64 b a) #s(literal -1 binary64)))))
✓	80.3%	(sqrt.f64 #s(approx (fabs (+ (* b (/ (neg b) (* a a))) 1)) (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))))

Compiler

Compiled 208 to 112 computations (46.2% saved)

regimes78.0ms (2.1%)

Memory

-20.5MiB live, 83.2MiB allocated; 12ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
(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)))))

Calls

7 calls:

65.0ms	(*.f64 a a)
3.0ms	b
3.0ms	a
2.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
2.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes12.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Accuracy

Total -12.3b remaining (-1326.7%)

Threshold costs -12.3b (-1326.7%)

Counts

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

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f64 b b)`
98.6%	1	`(*.f64 a a)`
98.6%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.6%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.6%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.6%	1	`a`
98.6%	1	`b`

Compiler

Compiled 44 to 31 computations (29.5% saved)

simplify54.0ms (1.5%)

Memory

-31.9MiB live, 62.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	46	34
2	226	34
3	2182	34

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

Outputs

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

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

derivations77.0ms (2.1%)

Memory

34.4MiB live, 83.8MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 38 to 17 computations (55.3% saved)

preprocess25.0ms (0.7%)

Memory

-17.6MiB live, 29.8MiB allocated; 2ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 194 to 102 computations (47.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze53.0ms (1.5%)

sample1.3s (35.8%)

explain102.0ms (2.8%)

preprocess108.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (4%)

localize26.0ms (0.7%)

series6.0ms (0.2%)

simplify171.0ms (4.7%)

rewrite49.0ms (1.3%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

simplify116.0ms (3.2%)

localize110.0ms (3%)

series46.0ms (1.3%)

simplify92.0ms (2.5%)

rewrite112.0ms (3.1%)

eval54.0ms (1.5%)

prune8.0ms (0.2%)

simplify153.0ms (4.2%)

localize84.0ms (2.3%)

series24.0ms (0.7%)

simplify134.0ms (3.7%)

rewrite46.0ms (1.3%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

simplify244.0ms (6.7%)

localize33.0ms (0.9%)

series5.0ms (0.1%)

simplify82.0ms (2.2%)

rewrite51.0ms (1.4%)

eval13.0ms (0.3%)

prune4.0ms (0.1%)

regimes78.0ms (2.1%)

regimes12.0ms (0.3%)

simplify54.0ms (1.5%)

derivations77.0ms (2.1%)

preprocess25.0ms (0.7%)

end0.0ms (0%)

Profiling