Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze11.0ms (0.7%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms 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)

sample977.0ms (58.8%)

Memory

-4.5MiB live, 1 658.6MiB allocated; 445ms collecting garbage

Samples

654.0ms	8 256×	0	valid
53.0ms	804×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

ival-mult!: 150.0ms (31.7% of total)

ival-div!: 124.0ms (26.2% of total)

ival-fabs: 93.0ms (19.6% of total)

ival-sqrt: 62.0ms (13.1% of total)

ival-<=: 21.0ms (4.4% of total)

ival-sub!: 18.0ms (3.8% of total)

ival-and: 4.0ms (0.8% of total)

adjust: 2.0ms (0.4% of total)

ival-assert: 1.0ms (0.2% of total)

Bogosity

preprocess32.0ms (1.9%)

Memory

-15.6MiB live, 31.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	142	68
2	1068	56

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs a)

(abs b)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series8.0ms (0.5%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

8 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite98.0ms (5.9%)

Memory

21.0MiB live, 114.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	332
0	62	321
1	263	292
0	2577	285

Stop Event

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

Counts

25 → 347

Calls

Call 1

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

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

eval49.0ms (2.9%)

Memory: -41.0MiB live, 101.9MiB allocated; 15ms collecting garbage
Compiler: Compiled 3 570 to 1 578 computations (55.8% saved)

prune5.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	337	3	340
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	338	3	341

Accuracy

100.0%

Counts

341 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
▶	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

79.6%

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

▶

100.0%

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

▶

98.5%

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

Compiler

Compiled 28 to 27 computations (3.6% saved)

series20.0ms (1.2%)

Memory

-0.6MiB live, 46.0MiB allocated; 3ms collecting garbage

Counts

19 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) (* a a) -1)
3.0ms	a	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) (* a a) -1)
3.0ms	b	@	inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) (* a a) -1)
3.0ms	b	@	-inf	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) (* a a) -1)
2.0ms	a	@	0	((sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) (fabs (/ (- (* a a) (* b b)) (* a a))) (/ (- (* a a) (* b b)) (* a a)) 1 (sqrt (fabs (/ (* (+ b a) (/ (- a b) a)) a))) (fabs (/ (* (+ b a) (/ (- a b) a)) a)) (/ (* (+ b a) (/ (- a b) a)) a) (* (+ b a) (/ (- a b) a)) (+ b a) b a (/ (- a b) a) (- a b) (sqrt (fabs (+ (* b (/ b (* a a))) -1))) (fabs (+ (* b (/ b (* a a))) -1)) (+ (* b (/ b (* a a))) -1) (/ b (* a a)) (* a a) -1)

rewrite183.0ms (11%)

Memory

27.2MiB live, 265.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	1322
0	237	1249
1	1245	1035
0	8452	1025

Stop Event

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

Counts

83 → 624

Calls

Call 1

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

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

eval81.0ms (4.9%)

Memory: -33.9MiB live, 156.9MiB allocated; 31ms collecting garbage
Compiler: Compiled 6 221 to 2 696 computations (56.7% saved)

prune8.0ms (0.5%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	558	1	559
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	559	3	562

Accuracy

100.0%

Counts

562 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	79.6%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

100.0%

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

✓

79.6%

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

✓

98.5%

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

Compiler

Compiled 27 to 25 computations (7.4% saved)

series7.0ms (0.4%)

Memory

-34.2MiB live, 12.5MiB allocated; 3ms collecting garbage

Counts

7 → 10

Calls

Call 1

Inputs
(sqrt.f64 (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)

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

Calls

6 calls:

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

rewrite67.0ms (4.1%)

Memory

11.6MiB live, 103.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	178
0	42	155
1	198	154
0	1991	154

Stop Event

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

Counts

17 → 108

Calls

Call 1

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

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

eval12.0ms (0.7%)

Memory: 25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 886 to 424 computations (52.1% saved)

prune4.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Accuracy

100.0%

Counts

103 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal -1 binary64))))
✓	79.6%	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))))
✓	98.5%	(sqrt.f64 (fabs.f64 #s(approx (/ (- (* a a) (* b b)) (* a a)) #s(literal 1 binary64))))

Status

Accuracy

Program

✓

100.0%

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

✓

79.6%

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

✓

98.5%

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

Compiler

Compiled 63 to 57 computations (9.5% saved)

regimes16.0ms (0.9%)

Memory

-21.0MiB live, 28.6MiB allocated; 8ms collecting garbage

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

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

Calls

7 calls:

6.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
1.0ms	(*.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 30 to 31 computations (-3.3% saved)

regimes7.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Accuracy

Total -12.7b remaining (-1300.2%)

Threshold costs -12.7b (-1300.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f64 b b)`
98.5%	1	`(*.f64 a a)`
98.5%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
98.5%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
98.5%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
98.5%	1	`a`
98.5%	1	`b`

Compiler

Compiled 30 to 31 computations (-3.3% saved)

derivations61.0ms (3.7%)

Memory

-38.0MiB live, 54.5MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 15 computations (11.8% saved)

preprocess17.0ms (1%)

Memory

37.7MiB live, 37.7MiB allocated; 0ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 102 to 91 computations (10.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.7%)

sample977.0ms (58.8%)

preprocess32.0ms (1.9%)

series8.0ms (0.5%)

rewrite98.0ms (5.9%)

eval49.0ms (2.9%)

prune5.0ms (0.3%)

series20.0ms (1.2%)

rewrite183.0ms (11%)

eval81.0ms (4.9%)

prune8.0ms (0.5%)

series7.0ms (0.4%)

rewrite67.0ms (4.1%)

eval12.0ms (0.7%)

prune4.0ms (0.3%)

regimes16.0ms (0.9%)

regimes7.0ms (0.4%)

derivations61.0ms (3.7%)

preprocess17.0ms (1%)

end0.0ms (0%)

Profiling