Metrics for Eccentricity of an ellipse

start0.0ms (0%)

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

analyze56.0ms (1.6%)

Memory

-27.7MiB live, 13.4MiB allocated; 13ms 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)

sample1.1s (29.8%)

Memory

24.2MiB live, 815.2MiB allocated; 237ms collecting garbage

Samples

639.0ms	8 256×	0	valid
85.0ms	760×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-mult!: 106.0ms (30.1% of total)

ival-sqrt: 104.0ms (29.6% of total)

ival-fabs: 61.0ms (17.3% of total)

ival-div!: 45.0ms (12.8% of total)

ival-sub!: 22.0ms (6.3% of total)

ival-<=: 6.0ms (1.7% of total)

ival-and: 4.0ms (1.1% of total)

adjust: 2.0ms (0.6% of total)

ival-assert: 1.0ms (0.3% of total)

Bogosity

preprocess33.0ms (0.9%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	80
1	127	68
2	900	56

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.3%	(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 (0.2%)

Memory

7.2MiB live, 7.2MiB 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	@	-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)

rewrite635.0ms (17.8%)

Memory

-6.4MiB live, 178.8MiB allocated; 86ms collecting garbage

Counts

25 → 132

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

eval15.0ms (0.4%)

Memory: 17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 281 to 590 computations (53.9% saved)

prune5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	4	128

Accuracy

100.0%

Counts

128 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (sqrt.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (fabs.f64 a))
▶	79.3%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 a b))) (.f64 a a)))
▶	100.0%	(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 b a) (/.f64 (-.f64 a b) a)) a)))
▶	79.3%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal 1 binary64))))

Compiler

Compiled 36 to 36 computations (0% saved)

series94.0ms (2.6%)

Memory

-33.4MiB live, 29.1MiB allocated; 44ms collecting garbage

Counts

23 → 87

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	a	@	0	((sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) b (* a 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) (/ (- a b) a) (- a b) (sqrt (/ (fabs (* (+ b a) (- a b))) (* a a))) (/ (fabs (* (+ b a) (- a b))) (* a a)) (fabs (* (+ b a) (- a b))) (* (+ b a) (- a b)) (/ (sqrt (fabs (* (+ b a) (- a b)))) (fabs a)) (sqrt (fabs (* (+ b a) (- a b)))) (fabs a))
31.0ms	b	@	-inf	((sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) b (* a 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) (/ (- a b) a) (- a b) (sqrt (/ (fabs (* (+ b a) (- a b))) (* a a))) (/ (fabs (* (+ b a) (- a b))) (* a a)) (fabs (* (+ b a) (- a b))) (* (+ b a) (- a b)) (/ (sqrt (fabs (* (+ b a) (- a b)))) (fabs a)) (sqrt (fabs (* (+ b a) (- a b)))) (fabs a))
7.0ms	b	@	0	((sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) b (* a 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) (/ (- a b) a) (- a b) (sqrt (/ (fabs (* (+ b a) (- a b))) (* a a))) (/ (fabs (* (+ b a) (- a b))) (* a a)) (fabs (* (+ b a) (- a b))) (* (+ b a) (- a b)) (/ (sqrt (fabs (* (+ b a) (- a b)))) (fabs a)) (sqrt (fabs (* (+ b a) (- a b)))) (fabs a))
7.0ms	b	@	inf	((sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) b (* a 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) (/ (- a b) a) (- a b) (sqrt (/ (fabs (* (+ b a) (- a b))) (* a a))) (/ (fabs (* (+ b a) (- a b))) (* a a)) (fabs (* (+ b a) (- a b))) (* (+ b a) (- a b)) (/ (sqrt (fabs (* (+ b a) (- a b)))) (fabs a)) (sqrt (fabs (* (+ b a) (- a b)))) (fabs a))
6.0ms	a	@	inf	((sqrt (fabs (- (/ (* b b) (* a a)) 1))) (fabs (- (/ (* b b) (* a a)) 1)) (- (/ (* b b) (* a a)) 1) (/ (* b b) (* a a)) (* b b) b (* a 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) (/ (- a b) a) (- a b) (sqrt (/ (fabs (* (+ b a) (- a b))) (* a a))) (/ (fabs (* (+ b a) (- a b))) (* a a)) (fabs (* (+ b a) (- a b))) (* (+ b a) (- a b)) (/ (sqrt (fabs (* (+ b a) (- a b)))) (fabs a)) (sqrt (fabs (* (+ b a) (- a b)))) (fabs a))

rewrite740.0ms (20.7%)

Memory

24.6MiB live, 251.6MiB allocated; 44ms collecting garbage

Counts

110 → 325

Calls

Call 1

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

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

eval46.0ms (1.3%)

Memory: -17.5MiB live, 65.3MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 429 to 1 441 computations (58% saved)

prune6.0ms (0.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	355	3	358
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	358	4	362

Accuracy

100.0%

Counts

362 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (+.f64 b a))) (sqrt.f64 (fabs.f64 (-.f64 b a)))) (fabs.f64 a))
✓	79.3%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 a b))) (.f64 a a)))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64))))
▶	79.9%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal 1 binary64))))

Compiler

Compiled 38 to 38 computations (0% saved)

series39.0ms (1.1%)

Memory

-18.0MiB live, 30.6MiB allocated; 21ms collecting garbage

Counts

24 → 56

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	b	@	-inf	((sqrt (fabs (- (* (/ b (* a a)) b) 1))) (fabs (- (* (/ b (* a a)) b) 1)) (- (* (/ b (* a a)) b) 1) (* (/ b (* a a)) b) (/ b (* a a)) b (* a a) a 1 (sqrt (fabs (- (/ (* (/ b a) b) a) 1))) (fabs (- (/ (* (/ b a) b) a) 1)) (- (/ (* (/ b a) b) a) 1) (/ (* (/ b a) b) a) (* (/ b a) b) (/ b a) (/ (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (fabs a)) (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (sqrt (fabs (+ b a))) (fabs (+ b a)) (+ b a) (sqrt (fabs (- b a))) (fabs (- b a)) (- b a) (fabs a))
4.0ms	b	@	inf	((sqrt (fabs (- (* (/ b (* a a)) b) 1))) (fabs (- (* (/ b (* a a)) b) 1)) (- (* (/ b (* a a)) b) 1) (* (/ b (* a a)) b) (/ b (* a a)) b (* a a) a 1 (sqrt (fabs (- (/ (* (/ b a) b) a) 1))) (fabs (- (/ (* (/ b a) b) a) 1)) (- (/ (* (/ b a) b) a) 1) (/ (* (/ b a) b) a) (* (/ b a) b) (/ b a) (/ (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (fabs a)) (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (sqrt (fabs (+ b a))) (fabs (+ b a)) (+ b a) (sqrt (fabs (- b a))) (fabs (- b a)) (- b a) (fabs a))
3.0ms	a	@	-inf	((sqrt (fabs (- (* (/ b (* a a)) b) 1))) (fabs (- (* (/ b (* a a)) b) 1)) (- (* (/ b (* a a)) b) 1) (* (/ b (* a a)) b) (/ b (* a a)) b (* a a) a 1 (sqrt (fabs (- (/ (* (/ b a) b) a) 1))) (fabs (- (/ (* (/ b a) b) a) 1)) (- (/ (* (/ b a) b) a) 1) (/ (* (/ b a) b) a) (* (/ b a) b) (/ b a) (/ (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (fabs a)) (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (sqrt (fabs (+ b a))) (fabs (+ b a)) (+ b a) (sqrt (fabs (- b a))) (fabs (- b a)) (- b a) (fabs a))
3.0ms	a	@	0	((sqrt (fabs (- (* (/ b (* a a)) b) 1))) (fabs (- (* (/ b (* a a)) b) 1)) (- (* (/ b (* a a)) b) 1) (* (/ b (* a a)) b) (/ b (* a a)) b (* a a) a 1 (sqrt (fabs (- (/ (* (/ b a) b) a) 1))) (fabs (- (/ (* (/ b a) b) a) 1)) (- (/ (* (/ b a) b) a) 1) (/ (* (/ b a) b) a) (* (/ b a) b) (/ b a) (/ (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (fabs a)) (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (sqrt (fabs (+ b a))) (fabs (+ b a)) (+ b a) (sqrt (fabs (- b a))) (fabs (- b a)) (- b a) (fabs a))
3.0ms	a	@	inf	((sqrt (fabs (- (* (/ b (* a a)) b) 1))) (fabs (- (* (/ b (* a a)) b) 1)) (- (* (/ b (* a a)) b) 1) (* (/ b (* a a)) b) (/ b (* a a)) b (* a a) a 1 (sqrt (fabs (- (/ (* (/ b a) b) a) 1))) (fabs (- (/ (* (/ b a) b) a) 1)) (- (/ (* (/ b a) b) a) 1) (/ (* (/ b a) b) a) (* (/ b a) b) (/ b a) (/ (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (fabs a)) (* (sqrt (fabs (+ b a))) (sqrt (fabs (- b a)))) (sqrt (fabs (+ b a))) (fabs (+ b a)) (+ b a) (sqrt (fabs (- b a))) (fabs (- b a)) (- b a) (fabs a))

rewrite699.0ms (19.6%)

Memory

42.0MiB live, 323.5MiB allocated; 25ms collecting garbage

Counts

80 → 230

Calls

Call 1

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

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

eval21.0ms (0.6%)

Memory: -20.0MiB live, 26.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 1 506 to 826 computations (45.2% saved)

prune7.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	183	4	187

Accuracy

100.0%

Counts

187 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(/.f64 (*.f64 (sqrt.f64 (fabs.f64 (+.f64 b a))) (sqrt.f64 (fabs.f64 (-.f64 b a)))) (fabs.f64 a))
✓	79.3%	(sqrt.f64 (/.f64 (fabs.f64 (.f64 (+.f64 b a) (-.f64 a b))) (.f64 a a)))
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 (/.f64 (*.f64 (/.f64 b a) b) a) #s(literal 1 binary64))))
✓	79.9%	(sqrt.f64 (fabs.f64 (-.f64 (.f64 (/.f64 b (.f64 a a)) b) #s(literal 1 binary64))))

Compiler

Compiled 95 to 83 computations (12.6% saved)

regimes75.0ms (2.1%)

Memory

-67.4MiB live, 20.7MiB allocated; 141ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

62.0ms	(*.f64 b b)
3.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)
2.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

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)

regimes8.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.4b remaining (-3.2%)

Threshold costs -0.4b (-3.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
79.9%	1	`(*.f64 b b)`
79.9%	1	`(*.f64 a a)`
79.9%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
79.9%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
79.9%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
79.9%	1	`a`
79.9%	1	`b`

Compiler

Compiled 30 to 31 computations (-3.3% saved)

derivations0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 15 computations (0% saved)

preprocess19.0ms (0.5%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 96 to 95 computations (1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze56.0ms (1.6%)

sample1.1s (29.8%)

preprocess33.0ms (0.9%)

series8.0ms (0.2%)

rewrite635.0ms (17.8%)

eval15.0ms (0.4%)

prune5.0ms (0.1%)

series94.0ms (2.6%)

rewrite740.0ms (20.7%)

eval46.0ms (1.3%)

prune6.0ms (0.2%)

series39.0ms (1.1%)

rewrite699.0ms (19.6%)

eval21.0ms (0.6%)

prune7.0ms (0.2%)

regimes75.0ms (2.1%)

regimes8.0ms (0.2%)

derivations0.0ms (0%)

preprocess19.0ms (0.5%)

end0.0ms (0%)

Profiling