Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

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

analyze38.0ms (2.5%)

Memory

-7.4MiB live, 34.7MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample749.0ms (49.5%)

Memory

40.2MiB live, 1 146.6MiB allocated; 250ms collecting garbage

Samples

497.0ms	8 256×	0	valid
29.0ms	634×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult!: 105.0ms (51.2% of total)

ival-sqrt: 75.0ms (36.6% of total)

ival-sub!: 24.0ms (11.7% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess52.0ms (3.4%)

Memory

-41.4MiB live, 52.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	65	50
2	234	50
3	394	50
4	1100	50
5	3701	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.4%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

6 → 32

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 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 (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (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 (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))

Calls

6 calls:

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

rewrite50.0ms (3.3%)

Memory

-17.6MiB live, 80.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	892
0	163	857
0	814	832

Stop Event

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

Counts

38 → 57

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 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 (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (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 (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))

Outputs
(pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 a a (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (.f64 a a) #s(literal 3 binary64)) (pow.f64 (.f64 b b) #s(literal 3 binary64))) (fma.f64 (.f64 a a) (.f64 a a) (fma.f64 (.f64 b b) (.f64 b b) (.f64 (.f64 a a) (*.f64 b b)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
b
#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (neg.f64 (*.f64 b b))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 (.f64 a a) (sqrt.f64 (neg.f64 (.f64 b b)))) #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (*.f64 b b)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (.f64 b b))))) (.f64 a a) (sqrt.f64 (neg.f64 (*.f64 b b)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a a)) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 b b)) #s(literal 3/2 binary64)))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (.f64 b b))))) (.f64 a a) (sqrt.f64 (neg.f64 (.f64 b b)))))
#s(approx (- (* a a) (* b b)) (neg.f64 (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/8 binary64))) a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/8 binary64)))) #s(literal 1 binary64)) a))
#s(approx (- (* a a) (* b b)) (.f64 (+.f64 (/.f64 (neg.f64 (.f64 b b)) (.f64 a a)) #s(literal 1 binary64)) (.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 a) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/8 binary64)))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 a) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (*.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 (.f64 b b) (sqrt.f64 (.f64 a a))) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a a))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (pow.f64 (.f64 a a) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 a a)))) (.f64 b b) (sqrt.f64 (.f64 a a))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 b b)) (pow.f64 (.f64 a a) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 a a) #s(literal 3/2 binary64)))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 a a)))) (.f64 b b) (sqrt.f64 (*.f64 a a))))
#s(approx (- (* a a) (* b b)) (fma.f64 a a (neg.f64 (*.f64 b b))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (sqrt.f64 #s(literal -1 binary64))) b))
#s(approx (- (* a a) (* b b)) (.f64 (-.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) (sqrt.f64 #s(literal -1 binary64))) b)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (sqrt.f64 #s(literal -1 binary64))) b)))

eval10.0ms (0.7%)

Memory: 22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 157 to 221 computations (80.9% saved)

prune3.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Accuracy

92.9%

Counts

53 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	51.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶	86.2%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
▶	51.6%	#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (*.f64 a a)))
▶	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 61 to 43 computations (29.5% saved)

series17.0ms (1.1%)

Memory

-2.3MiB live, 45.0MiB allocated; 2ms collecting garbage

Counts

18 → 81

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* a a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (sqrt (* -1 (pow b 2)))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* 1/2 (/ (* a (+ b (* -1 b))) (sqrt (* -1 (pow b 2))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2))))) (sqrt (* -1 (pow b 2))))) (* 1/2 (/ (+ b (* -1 b)) (sqrt (* -1 (pow b 2))))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* a (+ (* 1/2 (/ (+ b (* -1 b)) (sqrt (* -1 (pow b 2))))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2)))))) (pow (sqrt (* -1 (pow b 2))) 3))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2)))) (sqrt (* -1 (pow b 2))))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* -1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) a))) a)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* 1/2 (/ (* b (+ a (* -1 a))) (sqrt (pow a 2)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2))))) (sqrt (pow a 2)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt (pow a 2)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* b (+ (* 1/2 (/ (+ a (* -1 a)) (sqrt (pow a 2)))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2)))) (sqrt (pow a 2)))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2)))) (+ a (* -1 a)))) (pow (sqrt (pow a 2)) 3))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (neg a) a (sqrt (- (* a a) (* b b))) (sqrt (* a a)) (* a a) (sqrt (- (* a a) (* b b))) (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) (+ (* (/ (* b b) (* a a)) -1/2) 1) (/ (* b b) (* a a)) (* b b) b -1/2 1 (sqrt (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ a b) (- a b))
3.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (neg a) a (sqrt (- (* a a) (* b b))) (sqrt (* a a)) (* a a) (sqrt (- (* a a) (* b b))) (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) (+ (* (/ (* b b) (* a a)) -1/2) 1) (/ (* b b) (* a a)) (* b b) b -1/2 1 (sqrt (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ a b) (- a b))
3.0ms	b	@	0	((sqrt (- (* a a) (* b b))) (neg a) a (sqrt (- (* a a) (* b b))) (sqrt (* a a)) (* a a) (sqrt (- (* a a) (* b b))) (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) (+ (* (/ (* b b) (* a a)) -1/2) 1) (/ (* b b) (* a a)) (* b b) b -1/2 1 (sqrt (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ a b) (- a b))
3.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (neg a) a (sqrt (- (* a a) (* b b))) (sqrt (* a a)) (* a a) (sqrt (- (* a a) (* b b))) (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) (+ (* (/ (* b b) (* a a)) -1/2) 1) (/ (* b b) (* a a)) (* b b) b -1/2 1 (sqrt (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ a b) (- a b))
2.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (neg a) a (sqrt (- (* a a) (* b b))) (sqrt (* a a)) (* a a) (sqrt (- (* a a) (* b b))) (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) (+ (* (/ (* b b) (* a a)) -1/2) 1) (/ (* b b) (* a a)) (* b b) b -1/2 1 (sqrt (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ a b) (- a b))

rewrite94.0ms (6.2%)

Memory

1.9MiB live, 143.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	2577
0	475	2284
0	2807	2216

Stop Event

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

Counts

99 → 152

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
(neg.f64 a)
a
#s(approx (sqrt (- (* a a) (* b b))) (sqrt.f64 (*.f64 a a)))
(sqrt.f64 (*.f64 a a))
(*.f64 a a)
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (/.f64 (.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 (.f64 b b) (.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 b b)
b
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 a b)
(-.f64 a b)
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (/ (* b b) (* a a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (sqrt (* -1 (pow b 2)))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* 1/2 (/ (* a (+ b (* -1 b))) (sqrt (* -1 (pow b 2))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2))))) (sqrt (* -1 (pow b 2))))) (* 1/2 (/ (+ b (* -1 b)) (sqrt (* -1 (pow b 2))))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (* -1 (pow b 2))) (* a (+ (* 1/2 (/ (+ b (* -1 b)) (sqrt (* -1 (pow b 2))))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2)))))) (pow (sqrt (* -1 (pow b 2))) 3))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt (* -1 (pow b 2))) 2)))) (sqrt (* -1 (pow b 2))))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (+ a b) #s(hole binary64 b))
#s(approx (+ a b) #s(hole binary64 (+ a b)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (+ a b) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* -1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) a))) a)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* 1/2 (/ (* b (+ a (* -1 a))) (sqrt (pow a 2)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2))))) (sqrt (pow a 2)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt (pow a 2)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* b (+ (* 1/2 (/ (+ a (* -1 a)) (sqrt (pow a 2)))) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2)))) (sqrt (pow a 2)))) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt (pow a 2)) 2)))) (+ a (* -1 a)))) (pow (sqrt (pow a 2)) 3))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ (* (/ (* b b) (* a a)) -1/2) 1) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (/ (* b b) (* a a)) -1/2) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (+ a b) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (sqrt (* (+ a b) (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (+ a b) (- a b)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (+ a b) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

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

eval16.0ms (1.1%)

Memory: -2.7MiB live, 44.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 938 to 697 computations (82.3% saved)

prune5.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	148	6	154

Accuracy

99.8%

Counts

154 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	51.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	51.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
▶	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
✓	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
▶	99.3%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series22.0ms (1.4%)

Memory

11.4MiB live, 58.6MiB allocated; 2ms collecting garbage

Counts

16 → 110

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (* (/ b a) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (sqrt b) (sqrt (neg b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (* 1/2 (/ (sqrt (neg b)) (sqrt b))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (+ (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))) (* a (- (+ (* 1/16 (/ (sqrt b) (pow (sqrt (neg b)) 5))) (* 1/16 (/ (sqrt (neg b)) (pow (sqrt b) 5)))) (+ (* 1/16 (/ 1 (* (sqrt b) (pow (sqrt (neg b)) 3)))) (* 1/16 (/ 1 (* (pow (sqrt b) 3) (sqrt (neg b))))))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (/ a (sqrt b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (/ a (pow (sqrt b) 3))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt b) 5))) (* 1/8 (/ 1 (pow (sqrt b) 3))))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt (neg b))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* 1/2 (/ a (sqrt (neg b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* -1/8 (/ a (pow (sqrt (neg b)) 3))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt (neg b)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg b)) 3))))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (pow (sqrt (/ 1 a)) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* -1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5))))))))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (pow (sqrt a) 2)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (pow (sqrt a) 2))) (pow (sqrt a) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* 1/64 (/ 1 (pow (sqrt a) 6))) (* 9/64 (/ 1 (pow (sqrt a) 6))))) (* 1/2 (/ 1 (pow (sqrt a) 2))))) (pow (sqrt a) 2))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (/ b (sqrt a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* b (- (* 1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (/ b (sqrt a))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* b (- (* -1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (sqrt (/ -1 b)) (pow (sqrt (/ 1 b)) 3))))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (pow (sqrt (/ -1 b)) 3) (sqrt (/ 1 b)))))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ -1 b))) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ 1 b))) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (sqrt (/ 1 b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (sqrt (/ -1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (sqrt (/ 1 b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (sqrt (/ -1 b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	((sqrt (- (* a a) (* b b))) (fabs a) a (sqrt (- (* a a) (* b b))) (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) (+ (* (* (/ b a) (/ b a)) -1/2) 1) (* (/ b a) (/ b a)) (/ b a) b -1/2 1 (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (+ b a) (sqrt (- a b)) (- a b))
4.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (fabs a) a (sqrt (- (* a a) (* b b))) (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) (+ (* (* (/ b a) (/ b a)) -1/2) 1) (* (/ b a) (/ b a)) (/ b a) b -1/2 1 (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (+ b a) (sqrt (- a b)) (- a b))
4.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (fabs a) a (sqrt (- (* a a) (* b b))) (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) (+ (* (* (/ b a) (/ b a)) -1/2) 1) (* (/ b a) (/ b a)) (/ b a) b -1/2 1 (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (+ b a) (sqrt (- a b)) (- a b))
2.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (fabs a) a (sqrt (- (* a a) (* b b))) (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) (+ (* (* (/ b a) (/ b a)) -1/2) 1) (* (/ b a) (/ b a)) (/ b a) b -1/2 1 (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (+ b a) (sqrt (- a b)) (- a b))
2.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (fabs a) a (sqrt (- (* a a) (* b b))) (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) (+ (* (* (/ b a) (/ b a)) -1/2) 1) (* (/ b a) (/ b a)) (/ b a) b -1/2 1 (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (+ b a) (sqrt (- a b)) (- a b))

rewrite118.0ms (7.8%)

Memory

-4.0MiB live, 181.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	3605
0	614	3314
0	3392	3204

Stop Event

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

Counts

126 → 163

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))
(fabs.f64 a)
a
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 b a)
b
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 b a))
(+.f64 b a)
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (neg (pow b 2)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* 1/2 (/ (pow a 2) (sqrt (neg (pow b 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 3))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (neg (pow b 2))) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (pow (sqrt (neg (pow b 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (pow b 2))) 3))))) (* 1/2 (/ 1 (sqrt (neg (pow b 2))))))))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (* -1/2 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))))
#s(approx (* (/ b a) (/ b a)) #s(hole binary64 (/ (pow b 2) (pow a 2))))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (sqrt b) (sqrt (neg b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (* 1/2 (/ (sqrt (neg b)) (sqrt b))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (+ (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))) (* a (- (+ (* 1/16 (/ (sqrt b) (pow (sqrt (neg b)) 5))) (* 1/16 (/ (sqrt (neg b)) (pow (sqrt b) 5)))) (+ (* 1/16 (/ 1 (* (sqrt b) (pow (sqrt (neg b)) 3)))) (* 1/16 (/ 1 (* (pow (sqrt b) 3) (sqrt (neg b))))))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (/ a (sqrt b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (/ a (pow (sqrt b) 3))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt b) 5))) (* 1/8 (/ 1 (pow (sqrt b) 3))))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt (neg b))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* 1/2 (/ a (sqrt (neg b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* -1/8 (/ a (pow (sqrt (neg b)) 3))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt (neg b)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg b)) 3))))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (pow (sqrt (/ 1 a)) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* -1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5))))))))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 a)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (sqrt (pow a 2))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* -1/2 (/ (pow b 2) (sqrt (pow a 2)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow (sqrt (pow a 2)) 3))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (sqrt (pow a 2)) (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow (sqrt (pow a 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow a 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow a 2)))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (pow (sqrt a) 2)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (pow (sqrt a) 2))) (pow (sqrt a) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* 1/64 (/ 1 (pow (sqrt a) 6))) (* 9/64 (/ 1 (pow (sqrt a) 6))))) (* 1/2 (/ 1 (pow (sqrt a) 2))))) (pow (sqrt a) 2))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (/ b (sqrt a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* b (- (* 1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (/ b (sqrt a))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* b (- (* -1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (* (+ (* (* (/ b a) (/ b a)) -1/2) 1) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (+ (* (* (/ b a) (/ b a)) -1/2) 1) #s(hole binary64 (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (sqrt (/ -1 b)) (pow (sqrt (/ 1 b)) 3))))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (pow (sqrt (/ -1 b)) 3) (sqrt (/ 1 b)))))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ -1 b))) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ 1 b))) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (sqrt (/ 1 b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (sqrt (/ -1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (sqrt (/ 1 b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (sqrt (/ -1 b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

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

eval14.0ms (0.9%)

Memory: -21.0MiB live, 25.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 027 to 754 computations (85% saved)

prune4.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	148	7	155

Accuracy

99.8%

Counts

155 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
▶	76.9%	(.f64 (sqrt.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) (sqrt.f64 (-.f64 a b)))
✓	51.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	51.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
✓	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
✓	99.3%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 85 to 60 computations (29.4% saved)

series7.0ms (0.5%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

11 → 79

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (sqrt b) (sqrt (neg b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (* 1/2 (/ (sqrt (neg b)) (sqrt b))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (+ (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))) (* a (- (+ (* 1/16 (/ (sqrt b) (pow (sqrt (neg b)) 5))) (* 1/16 (/ (sqrt (neg b)) (pow (sqrt b) 5)))) (+ (* 1/16 (/ 1 (* (sqrt b) (pow (sqrt (neg b)) 3)))) (* 1/16 (/ 1 (* (pow (sqrt b) 3) (sqrt (neg b))))))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (/ a (sqrt b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (/ a (pow (sqrt b) 3))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt b) 5))) (* 1/8 (/ 1 (pow (sqrt b) 3))))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 1))
#s(approx (+ (/ a b) 1) #s(hole binary64 (+ 1 (/ a b))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt (neg b))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* 1/2 (/ a (sqrt (neg b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* -1/8 (/ a (pow (sqrt (neg b)) 3))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt (neg b)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg b)) 3))))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (pow (sqrt (/ 1 a)) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* -1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5))))))))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (pow (sqrt a) 2)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (pow (sqrt a) 2))) (pow (sqrt a) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* 1/64 (/ 1 (pow (sqrt a) 6))) (* 9/64 (/ 1 (pow (sqrt a) 6))))) (* 1/2 (/ 1 (pow (sqrt a) 2))))) (pow (sqrt a) 2))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (/ b (sqrt a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* b (- (* 1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (/ (+ a b) b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (/ b (sqrt a))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* b (- (* -1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (sqrt (/ -1 b)) (pow (sqrt (/ 1 b)) 3))))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (pow (sqrt (/ -1 b)) 3) (sqrt (/ 1 b)))))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ -1 b))) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ 1 b))) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (sqrt (/ 1 b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (sqrt (/ -1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (sqrt (/ 1 b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (sqrt (/ -1 b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

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

rewrite148.0ms (9.8%)

Memory

-3.0MiB live, 186.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	2613
0	459	2427
1	2589	2181
0	9363	2089

Stop Event

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

Counts

90 → 127

Calls

Call 1

Inputs
(.f64 (sqrt.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 #s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
a
b
#s(literal 1 binary64)
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (sqrt b) (sqrt (neg b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (* 1/2 (/ (sqrt (neg b)) (sqrt b))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (sqrt b) (sqrt (neg b)))) (+ (* 1/2 (/ (sqrt (neg b)) (sqrt b))) (* a (+ (* -1/8 (/ (sqrt b) (pow (sqrt (neg b)) 3))) (+ (* -1/8 (/ (sqrt (neg b)) (pow (sqrt b) 3))) (+ (* 1/4 (/ 1 (* (sqrt b) (sqrt (neg b))))) (* a (- (+ (* 1/16 (/ (sqrt b) (pow (sqrt (neg b)) 5))) (* 1/16 (/ (sqrt (neg b)) (pow (sqrt b) 5)))) (+ (* 1/16 (/ 1 (* (sqrt b) (pow (sqrt (neg b)) 3)))) (* 1/16 (/ 1 (* (pow (sqrt b) 3) (sqrt (neg b))))))))))))))) (* (sqrt b) (sqrt (neg b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (/ a (sqrt b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (/ a (pow (sqrt b) 3))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt b) 5))) (* 1/8 (/ 1 (pow (sqrt b) 3))))) (* 1/2 (/ 1 (sqrt b))))))))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (+ (/ a b) 1) #s(hole binary64 1))
#s(approx (+ (/ a b) 1) #s(hole binary64 (+ 1 (/ a b))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt (neg b))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* 1/2 (/ a (sqrt (neg b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* -1/8 (/ a (pow (sqrt (neg b)) 3))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt (neg b)) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt (neg b)) 5))) (* 1/8 (/ 1 (pow (sqrt (neg b)) 3))))) (* 1/2 (/ 1 (sqrt (neg b)))))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (pow (sqrt (/ 1 a)) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow a 2) (+ (* -1/2 (/ b (pow a 2))) (+ (* -1/2 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 2)))) (+ (* -1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/8 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 4)))) (+ (* 1/2 (/ b (pow a 2))) (pow (sqrt (/ 1 a)) 2)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (sqrt (/ 1 a)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ 1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5))))))))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (sqrt (/ 1 a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (+ (* 1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))) (* 1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (/ b (* (pow a 2) (sqrt (/ 1 a))))) (+ (* -1/8 (/ (pow b 2) (* (pow a 4) (pow (sqrt (/ 1 a)) 3)))) (* -1/16 (/ (pow b 3) (* (pow a 6) (pow (sqrt (/ 1 a)) 5)))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (pow (sqrt a) 2)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* -1/2 (/ (pow b 2) (pow (sqrt a) 2))) (pow (sqrt a) 2))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* (pow b 2) (- (* (pow b 2) (- (* 1/64 (/ 1 (pow (sqrt a) 6))) (* 9/64 (/ 1 (pow (sqrt a) 6))))) (* 1/2 (/ 1 (pow (sqrt a) 2))))) (pow (sqrt a) 2))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (/ b (sqrt a))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* b (- (* 1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (+ (/ a b) 1) #s(hole binary64 (/ (+ a b) b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (/ b (sqrt a))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* -1/8 (/ b (pow (sqrt a) 3))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (- (* b (- (* -1/16 (/ b (pow (sqrt a) 5))) (* 1/8 (/ 1 (pow (sqrt a) 3))))) (* 1/2 (/ 1 (sqrt a))))))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* (pow b 2) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ -1 b))) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* -1/8 (/ (* (pow a 2) (sqrt (/ 1 b))) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (sqrt (/ -1 b)) (pow (sqrt (/ 1 b)) 3))))) (+ (* -1/16 (/ (pow a 3) (* (pow b 6) (* (pow (sqrt (/ -1 b)) 3) (sqrt (/ 1 b)))))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ -1 b))) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (+ (* 1/16 (/ (* (pow a 3) (sqrt (/ 1 b))) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (+ (* 1/4 (/ (pow a 2) (* (pow b 4) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))) (+ (* 1/2 (/ (* a (sqrt (/ -1 b))) (* (pow b 2) (sqrt (/ 1 b))))) (+ (* 1/2 (/ (* a (sqrt (/ 1 b))) (* (pow b 2) (sqrt (/ -1 b))))) (* (sqrt (/ -1 b)) (sqrt (/ 1 b)))))))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (sqrt (/ 1 b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (sqrt (/ -1 b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (sqrt (/ 1 b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b)))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ 1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ 1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ 1 b))))))))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (sqrt (/ -1 b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (sqrt (/ -1 b)) (+ (* -1/8 (/ (pow a 2) (* (pow b 4) (pow (sqrt (/ -1 b)) 3)))) (+ (* 1/16 (/ (pow a 3) (* (pow b 6) (pow (sqrt (/ -1 b)) 5)))) (* 1/2 (/ a (* (pow b 2) (sqrt (/ -1 b))))))))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Outputs
(.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(.f64 (sqrt.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) (sqrt.f64 (-.f64 a b)))
(pow.f64 (.f64 (-.f64 a b) #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (-.f64 a b)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (-.f64 a b) #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))))
(sqrt.f64 (.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) (-.f64 a b)))
(pow.f64 #s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)))
(exp.f64 (.f64 (log.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) #s(literal 1/2 binary64)))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
(*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b)
(*.f64 b (+.f64 (/.f64 a b) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 a b) b))
(fma.f64 b #s(literal 1 binary64) (*.f64 b (/.f64 a b)))
(+.f64 (.f64 b #s(literal 1 binary64)) (.f64 b (/.f64 a b)))
(+.f64 (.f64 #s(literal 1 binary64) b) (.f64 (/.f64 a b) b))
(/.f64 (fma.f64 (neg.f64 a) #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 a #s(literal 2 binary64) (.f64 b #s(literal 2 binary64))) (.f64 b #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) (neg.f64 a))) (.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) b (.f64 #s(literal 2 binary64) a)) (.f64 #s(literal 2 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 a a) (.f64 b b)) (*.f64 #s(literal 1 binary64) (/.f64 a b))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 a b) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (-.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 a a) (.f64 b b)) (*.f64 #s(literal 1 binary64) (/.f64 a b)))))
(/.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 b b)) (/.f64 a b) #s(literal 1 binary64)) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) #s(literal 1 binary64)))))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (neg.f64 (neg.f64 a)) b)
(/.f64 (neg.f64 a) b)
(/.f64 a b)
a
b
#s(literal 1 binary64)
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))) (sqrt.f64 (fma.f64 a a (fma.f64 b b (*.f64 a b)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b))) (neg.f64 (fma.f64 a a (fma.f64 b b (*.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (neg.f64 (+.f64 a b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 a b))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (fma.f64 a a (fma.f64 b b (*.f64 a b))))
(-.f64 a b)
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) b)
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b b) b)) a b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b b) b) (.f64 (fma.f64 (/.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) b))) a)) a b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 b b) b) (.f64 (fma.f64 (/.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (fma.f64 a (-.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (sqrt.f64 b) (pow.f64 b #s(literal 5/2 binary64))) (/.f64 (sqrt.f64 b) (pow.f64 b #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 b) b) (sqrt.f64 b)))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 b) b) (sqrt.f64 b)))) (/.f64 #s(literal -1/4 binary64) b)))) a)) a b))
#s(approx (sqrt (+ b a)) (sqrt.f64 b))
#s(approx (sqrt (+ b a)) (fma.f64 (/.f64 a (sqrt.f64 b)) #s(literal 1/2 binary64) (sqrt.f64 b)))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (/.f64 a (*.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 b))) a (sqrt.f64 b)))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 b) b))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 b))) a (sqrt.f64 b)))
#s(approx (+ b a) b)
#s(approx (+ b a) (+.f64 a b))
#s(approx (+ (/ a b) 1) #s(literal 1 binary64))
#s(approx (+ (/ a b) 1) (+.f64 (/.f64 a b) #s(literal 1 binary64)))
#s(approx (/ a b) (/.f64 a b))
#s(approx a a)
#s(approx (sqrt (- a b)) (sqrt.f64 b))
#s(approx (sqrt (- a b)) (fma.f64 (/.f64 a (sqrt.f64 b)) #s(literal 1/2 binary64) (sqrt.f64 b)))
#s(approx (sqrt (- a b)) (fma.f64 (fma.f64 (/.f64 a (*.f64 (sqrt.f64 b) b)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 b))) a (sqrt.f64 b)))
#s(approx (sqrt (- a b)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 b) b))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 b))) a (sqrt.f64 b)))
#s(approx (- a b) b)
#s(approx (- a b) (-.f64 a b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 b (.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a))) (.f64 a a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 (.f64 a a) (.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #s(literal -1/2 binary64) (fma.f64 (/.f64 b (.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))) (*.f64 a a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (/.f64 b (.f64 a a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 (.f64 a a) (.f64 a a)) (/.f64 #s(literal 1 binary64) a))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 a a) a)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 b (.f64 a a)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)))))) (*.f64 a a)))
#s(approx (sqrt (+ b a)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a))
#s(approx (sqrt (+ b a)) (.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 a))) #s(literal 5 binary64) (.f64 (log.f64 a) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (+ (/ a b) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 b b) b) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 a))) #s(literal 5 binary64) (.f64 (log.f64 a) #s(literal 6 binary64))))) (.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (*.f64 a a)))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (- a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (sqrt (+ b a)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) a)))
#s(approx (sqrt (+ b a)) (neg.f64 (.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (sqrt (+ b a)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (sqrt (+ b a)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 a))) #s(literal 5 binary64) (.f64 (log.f64 a) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (+ b a) (neg.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a b)) (neg.f64 (.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 a a))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (sqrt (- a b)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (.f64 a a)))) #s(literal -1/8 binary64) (.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (sqrt (- a b)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 b (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 a a))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 b b) b) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 a))) #s(literal 5 binary64) (.f64 (log.f64 a) #s(literal 6 binary64))))) (.f64 (/.f64 (.f64 b b) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 a) a)) (.f64 (.f64 a a) (*.f64 a a)))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)))
#s(approx (- a b) (neg.f64 (*.f64 (-.f64 (/.f64 b a) #s(literal 1 binary64)) a)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) a)
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1/2 binary64) a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)) #s(literal -1/8 binary64)) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (.f64 b b) a))
#s(approx (sqrt (+ b a)) (sqrt.f64 a))
#s(approx (sqrt (+ b a)) (fma.f64 (/.f64 b (sqrt.f64 a)) #s(literal 1/2 binary64) (sqrt.f64 a)))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (/.f64 b (*.f64 (sqrt.f64 a) a)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 a))) b (sqrt.f64 a)))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 b (pow.f64 a #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 a) a))) b (/.f64 #s(literal 1/2 binary64) (sqrt.f64 a))) b (sqrt.f64 a)))
#s(approx (+ (/ a b) 1) (/.f64 (+.f64 a b) b))
#s(approx (sqrt (- a b)) (fma.f64 (/.f64 b (sqrt.f64 a)) #s(literal -1/2 binary64) (sqrt.f64 a)))
#s(approx (sqrt (- a b)) (fma.f64 (-.f64 (.f64 (/.f64 b (.f64 (sqrt.f64 a) a)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 a))) b (sqrt.f64 a)))
#s(approx (sqrt (- a b)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 b (pow.f64 a #s(literal 5/2 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 a) a))) b) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 a))) b (sqrt.f64 a)))
#s(approx (- a b) (+.f64 a b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (/.f64 #s(literal -1 binary64) b) (.f64 b b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b))) (.f64 b b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 a a) (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal -1 binary64) b))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)))))) (*.f64 b b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 b) b) (sqrt.f64 b))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (.f64 (.f64 b b) b) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 b) b) (sqrt.f64 b))))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 a a) (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal -1 binary64) b))) #s(literal 1/4 binary64) (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (fma.f64 (.f64 (/.f64 a (.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) b)))))))))) (*.f64 b b)))
#s(approx (sqrt (+ b a)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) b))
#s(approx (sqrt (+ b a)) (.f64 (fma.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 b b))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (+ b a) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (sqrt (- a b)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) b))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 b b))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (- a b) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) b))
#s(approx (sqrt (+ b a)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) b))
#s(approx (sqrt (+ b a)) (.f64 (fma.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 b b))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (+ b a)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (+ b a) (*.f64 (-.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)) b))
#s(approx (sqrt (- a b)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) b))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (.f64 b b))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 b) b)) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 b))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 a (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 b)) (*.f64 b b))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 b))) b))
#s(approx (- a b) (*.f64 (+.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64)) b))

eval14.0ms (0.9%)

Memory: -27.7MiB live, 27.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 508 to 587 computations (83.3% saved)

prune4.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	106	8	114

Accuracy

99.8%

Counts

114 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	76.9%	(.f64 (sqrt.f64 #s(approx (+ b a) (.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) b))) (sqrt.f64 (-.f64 a b)))
✓	51.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	51.8%	(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
	5.0%	#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) b)
	99.3%	#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) a)
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a))
✓	1.2%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes55.0ms (3.6%)

Memory

-3.0MiB live, 135.6MiB allocated; 5ms collecting garbage

Accuracy

Total -62.8b remaining (-5960.8%)

Threshold costs -62.8b (-5960.8%)

Counts

7 → 1

9 → 1

11 → 1

Calls

Call 1

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

Outputs
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) a)

Call 2

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

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

Call 3

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

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

Calls

18 calls:

5.0ms	(*.f64 a a)
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
99.3%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.3%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.3%	1	`(*.f64 b b)`
99.3%	1	`(*.f64 a a)`
99.3%	1	`b`
99.3%	1	`a`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.3%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.3%	1	`(*.f64 b b)`
99.3%	1	`(*.f64 a a)`
99.3%	1	`b`
99.3%	1	`a`
99.7%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.7%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.7%	1	`(*.f64 b b)`
99.7%	1	`(*.f64 a a)`
99.7%	1	`b`
99.7%	1	`a`

Compiler

Compiled 210 to 111 computations (47.1% saved)

derivations45.0ms (2.9%)

Memory

24.7MiB live, 77.1MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 41 to 24 computations (41.5% saved)

preprocess41.0ms (2.7%)

Memory: -10.1MiB live, 66.6MiB allocated; 20ms collecting garbage
Remove: (abs b)
Compiler: Compiled 295 to 198 computations (32.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (2.5%)

sample749.0ms (49.5%)

preprocess52.0ms (3.4%)

series6.0ms (0.4%)

rewrite50.0ms (3.3%)

eval10.0ms (0.7%)

prune3.0ms (0.2%)

series17.0ms (1.1%)

rewrite94.0ms (6.2%)

eval16.0ms (1.1%)

prune5.0ms (0.3%)

series22.0ms (1.4%)

rewrite118.0ms (7.8%)

eval14.0ms (0.9%)

prune4.0ms (0.3%)

series7.0ms (0.5%)

rewrite148.0ms (9.8%)

eval14.0ms (0.9%)

prune4.0ms (0.2%)

regimes55.0ms (3.6%)

derivations45.0ms (2.9%)

preprocess41.0ms (2.7%)

end0.0ms (0%)

Profiling