Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

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

analyze39.0ms (1.1%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms 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)

sample788.0ms (22.3%)

Memory

-25.9MiB live, 948.9MiB allocated; 258ms collecting garbage

Samples

392.0ms	8 256×	0	valid
36.0ms	677×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult!: 109.0ms (49.2% of total)

ival-sqrt: 90.0ms (40.6% of total)

ival-sub!: 21.0ms (9.5% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess64.0ms (1.8%)

Memory

-31.3MiB live, 65.1MiB allocated; 22ms 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
▶	58.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB 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	@	inf	((sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* a a) a (* b b) b)
1.0ms	a	@	0	((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)

rewrite587.0ms (16.6%)

Memory

31.5MiB live, 636.0MiB allocated; 180ms collecting garbage

Counts

38 → 231

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
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(.f64 (pow.f64 (.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (sqrt.f64 (fma.f64 b b (.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b b)))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1/2 binary64)))
(hypot.f64 a (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (fabs.f64 a) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (neg.f64 a) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) a)
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (fabs.f64 a))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (neg.f64 a))
(hypot.f64 (neg.f64 (neg.f64 a)) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (neg.f64 a)) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (neg.f64 (fabs.f64 a)) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) a)
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) a)
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (neg.f64 a)))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (neg.f64 a)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (fabs.f64 a))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (fabs.f64 a))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (fabs.f64 a)))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (fabs.f64 a)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 a))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 a))
(hypot.f64 a (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (fabs.f64 a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 a (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (fabs.f64 a) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 a) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (neg.f64 (neg.f64 a)))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (neg.f64 (fabs.f64 a)))
(hypot.f64 (exp.f64 (log.f64 a)) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (exp.f64 (log.f64 a)) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (exp.f64 (log.f64 a)) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (pow.f64 a #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (exp.f64 (log.f64 a)))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (exp.f64 (log.f64 a)))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (exp.f64 (log.f64 a)))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (pow.f64 a #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (pow.f64 a #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (pow.f64 a #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))))
(hypot.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (sqrt.f64 (neg.f64 (*.f64 b b))))
(hypot.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (pow.f64 a #s(literal 1 binary64))))
(hypot.f64 (fabs.f64 (sqrt.f64 (neg.f64 (*.f64 b b)))) (neg.f64 (pow.f64 a #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (neg.f64 (*.f64 b b))) (neg.f64 (pow.f64 a #s(literal 1 binary64))))
(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 (fabs.f64 a) b) (-.f64 (fabs.f64 a) b))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (+.f64 (neg.f64 a) b) (-.f64 (neg.f64 a) b))
(*.f64 (-.f64 a b) (+.f64 a b))
(*.f64 (+.f64 (neg.f64 a) (fabs.f64 b)) (-.f64 (neg.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (neg.f64 b)) (-.f64 (neg.f64 a) (neg.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (neg.f64 b)) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (+.f64 a (neg.f64 b)) (-.f64 a (neg.f64 b)))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(*.f64 (+.f64 (pow.f64 a #s(literal 1 binary64)) b) (-.f64 (pow.f64 a #s(literal 1 binary64)) b))
(*.f64 (+.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 b)) (-.f64 (pow.f64 a #s(literal 1 binary64)) (fabs.f64 b)))
(*.f64 (+.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))) (-.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 b)) (-.f64 (pow.f64 a #s(literal 1 binary64)) (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 a) (pow.f64 b #s(literal 1 binary64))) (-.f64 (neg.f64 a) (pow.f64 b #s(literal 1 binary64))))
(*.f64 (+.f64 (fabs.f64 a) (pow.f64 b #s(literal 1 binary64))) (-.f64 (fabs.f64 a) (pow.f64 b #s(literal 1 binary64))))
(*.f64 (+.f64 a (pow.f64 b #s(literal 1 binary64))) (-.f64 a (pow.f64 b #s(literal 1 binary64))))
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 (neg.f64 (.f64 b b)) (.f64 a a))
(+.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b b))) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (.f64 (.f64 b b) (.f64 b b)))) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (.f64 (.f64 b b) (.f64 b b)))))
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (neg.f64 (.f64 b b)) (neg.f64 (.f64 a a)))
(-.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (neg.f64 (.f64 b b)) (.f64 a a))) (/.f64 (.f64 (.f64 a a) (.f64 a a)) (-.f64 (neg.f64 (.f64 b b)) (.f64 a a))))
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(-.f64 (.f64 a a) (.f64 (neg.f64 (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b b)) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (.f64 a a)))))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) b))
(-.f64 (.f64 a a) (.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 b b)))
(/.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 b b (.f64 a a)))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 a a) (.f64 a a))) (-.f64 (neg.f64 (.f64 b b)) (.f64 a a)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a))))
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(/.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) (neg.f64 (.f64 b b)) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a))) (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))))
(/.f64 (neg.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (fma.f64 b b (.f64 a a))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 b b)))) (neg.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (.f64 (.f64 a a) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 b b) (.f64 b b)) (neg.f64 (.f64 b b)) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 a a)))) (neg.f64 (fma.f64 (.f64 a a) (fma.f64 b b (.f64 a a)) (.f64 (.f64 b b) (.f64 b b)))))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 b b))) (sqrt.f64 (neg.f64 (.f64 b b))) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (neg.f64 (*.f64 b b)))
(fma.f64 a a (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (.f64 a a)) #s(literal -1 binary64) (neg.f64 (.f64 b b)))
(fma.f64 (fabs.f64 (sqrt.f64 (neg.f64 (.f64 b b)))) (fabs.f64 (sqrt.f64 (neg.f64 (.f64 b b)))) (*.f64 a a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 b b)))) (neg.f64 (sqrt.f64 (neg.f64 (.f64 b b)))) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (neg.f64 (.f64 b b)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 a a)) (neg.f64 (.f64 b b)))
(fma.f64 #s(literal -1 binary64) (.f64 b b) (.f64 a a))
(fma.f64 b (neg.f64 b) (*.f64 a a))
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(fma.f64 (.f64 a a) #s(literal 1 binary64) (neg.f64 (.f64 b b)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (neg.f64 (.f64 b b)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (neg.f64 (.f64 b b)))
(fma.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 a a) (neg.f64 (*.f64 b b)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 b)) (neg.f64 b) (.f64 a a))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 b)) (fabs.f64 b) (.f64 a a))
(fma.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) a (neg.f64 (.f64 b b)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (neg.f64 (*.f64 b b)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 (.f64 b b)))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)) (neg.f64 (.f64 b b)))
(fma.f64 a (.f64 #s(literal -1 binary64) (neg.f64 a)) (neg.f64 (.f64 b b)))
(fma.f64 (.f64 a a) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 b b)))
(fma.f64 (fabs.f64 b) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal -1 binary64)) (.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal -1 binary64)) (.f64 a a))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)) (neg.f64 (.f64 b b)))
(fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 1 binary64))) (pow.f64 b #s(literal 1 binary64)) (.f64 a a))
(fma.f64 (neg.f64 (pow.f64 b #s(literal 1 binary64))) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 b b)))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (neg.f64 (pow.f64 b #s(literal 1 binary64))) (*.f64 a a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 b b)))
(*.f64 a a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(.f64 (neg.f64 (.f64 a a)) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 a a)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 a a))
(.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1 binary64)))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) #s(literal 1 binary64)))
(.f64 a (.f64 #s(literal -1 binary64) (neg.f64 a)))
(.f64 (.f64 a a) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 1 binary64))) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 a #s(literal 1 binary64))) (neg.f64 (pow.f64 a #s(literal 1 binary64))))
(.f64 (pow.f64 a #s(literal 1 binary64)) (.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 a a))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (*.f64 a a)))
(pow.f64 (.f64 (.f64 a a) (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (.f64 a a) (.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 a a) (*.f64 a a)))
a
(*.f64 #s(literal 1 binary64) a)
(*.f64 a #s(literal 1 binary64))
(*.f64 b b)
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (pow.f64 b #s(literal 1 binary64)) b)
(*.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 b #s(literal 1 binary64))) (fabs.f64 (pow.f64 b #s(literal 1 binary64))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 1 binary64))) (neg.f64 (pow.f64 b #s(literal 1 binary64))))
(fabs.f64 (*.f64 b b))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 b b)))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 b #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.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 (neg.f64 (.f64 a a)) (.f64 (.f64 b b) (sqrt.f64 (neg.f64 (.f64 b b))))) #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 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (.f64 b b)) (sqrt.f64 (neg.f64 (.f64 b b)))))) (.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))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a)) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a))) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a)))) a a))
#s(approx (- (* a a) (* b b)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 a a))) (.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a)) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a))) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a)))) a a)))
#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 #s(literal -1/8 binary64) (.f64 b b)) (.f64 (.f64 a a) (fabs.f64 a))) (/.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 (.f64 a a) (fabs.f64 a)))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 a))) (*.f64 b b) (fabs.f64 a)))
#s(approx (- (* a a) (* b b)) (*.f64 (+.f64 a b) (-.f64 a 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.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))))) 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))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 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))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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)))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.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))))) (neg.f64 b)))

eval35.0ms (1%)

Memory: 14.5MiB live, 54.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 3 356 to 671 computations (80% saved)

prune15.0ms (0.4%)

Memory

-27.2MiB live, 17.0MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	221	4	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	221	5	226

Accuracy

99.8%

Counts

226 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓	58.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	59.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	1.1%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
▶	99.4%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 47 to 35 computations (25.5% saved)

series19.0ms (0.5%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Counts

13 → 130

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

Calls

6 calls:

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

rewrite539.0ms (15.2%)

Memory

-6.9MiB live, 566.1MiB allocated; 96ms collecting garbage

Counts

143 → 175

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))
(fabs.f64 a)
(fabs.f64 (neg.f64 a))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 a a))
a
#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)
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(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 a b) (-.f64 a b))
(+.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b))
(+.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b)))
(+.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(-.f64 (.f64 a a) (.f64 b 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 (-.f64 a b) a (*.f64 (-.f64 a b) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 a a (*.f64 (neg.f64 b) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 b) b))
(fma.f64 (.f64 (sqrt.f64 a) (sqrt.f64 a)) (.f64 (sqrt.f64 a) (sqrt.f64 a)) (*.f64 (neg.f64 b) b))
(fma.f64 a (-.f64 a b) (*.f64 b (-.f64 a b)))
(fma.f64 (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 a) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 b) b))
(-.f64 a b)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a 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))))
b
(+.f64 a b)
(+.f64 b a)
(/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (-.f64 a b))
(/.f64 (fma.f64 a (.f64 a a) (.f64 (.f64 b b) b)) (fma.f64 a a (-.f64 (.f64 b b) (*.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(pow.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 a b))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(sqrt.f64 (-.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 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 3 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 (fma.f64 (/.f64 (.f64 a a) (pow.f64 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 5 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal -3 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 (neg a) (neg.f64 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 a (.f64 #s(literal 0 binary64) b)) (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 (.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)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (neg.f64 (.f64 b b))) (sqrt.f64 (neg.f64 (.f64 b b)))))) (sqrt.f64 (neg.f64 (.f64 b b)))) (/.f64 (.f64 #s(literal 0 binary64) b) (sqrt.f64 (neg.f64 (.f64 b b)))))) a (sqrt.f64 (neg.f64 (.f64 b b)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a (.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) b) (.f64 #s(literal 0 binary64) b)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (neg.f64 (.f64 b b))) (sqrt.f64 (neg.f64 (.f64 b b))))))) (pow.f64 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) b) (.f64 #s(literal 0 binary64) b)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (neg.f64 (.f64 b b))) (sqrt.f64 (neg.f64 (.f64 b b)))))) (sqrt.f64 (neg.f64 (.f64 b b)))) #s(literal 1/2 binary64))) a (/.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 a) (* b b)) (neg.f64 (*.f64 b b)))
#s(approx (- (* a a) (* b b)) (fma.f64 (.f64 #s(literal 0 binary64) b) a (neg.f64 (.f64 b b))))
#s(approx (- (* a a) (* b b)) (fma.f64 (fma.f64 #s(literal 0 binary64) b a) a (neg.f64 (*.f64 b b))))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (+ a b) b)
#s(approx (+ a b) (+.f64 a b))
#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 (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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (.f64 (.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 b)))) (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)) 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 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 b) (.f64 (.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b))) (sqrt.f64 (neg.f64 b)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (neg.f64 b)) (.f64 (.f64 (sqrt.f64 b) (sqrt.f64 b)) (sqrt.f64 b))) (fma.f64 (-.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (sqrt.f64 b) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 (neg.f64 b)) (pow.f64 (sqrt.f64 b) #s(literal 5 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))))) a (/.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 (+ 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 (.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 (+ a b)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) a) (pow.f64 (sqrt.f64 b) #s(literal 5 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 (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 #s(literal 1/16 binary64) a) (pow.f64 (sqrt.f64 (neg.f64 b)) #s(literal 5 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 (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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) 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 (.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))) (.f64 (.f64 a a) a))) #s(literal -1/4 binary64) (.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 (- (* a a) (* b b)) (*.f64 a a))
#s(approx (- (* a a) (* b b)) (.f64 (fma.f64 #s(literal 0 binary64) (/.f64 b a) #s(literal 1 binary64)) (.f64 a a)))
#s(approx (- (* a a) (* b b)) (.f64 (+.f64 (+.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) (+.f64 (/.f64 b a) (neg.f64 (/.f64 (.f64 b b) (.f64 a a))))) (.f64 a a)))
#s(approx (- a b) (*.f64 (+.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64)) a))
#s(approx (+ a b) (*.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) a))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (*.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 a a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a a)))) (*.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 a a)) (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a a))))) (.f64 a a)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 a a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a a))))))) (.f64 a a)))
#s(approx (sqrt (+ a b)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a))
#s(approx (sqrt (+ a b)) (.f64 (fma.f64 (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a))
#s(approx (sqrt (+ a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a))
#s(approx (sqrt (+ a b)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)) (pow.f64 a #s(literal 6 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) 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 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.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) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) 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 #s(literal -1/2 binary64) (.f64 #s(literal 0 binary64) b) (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 a) (* b 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 b a) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 b a)) #s(literal 1 binary64))))
#s(approx (sqrt (+ a b)) (*.f64 (neg.f64 a) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
#s(approx (sqrt (+ a b)) (.f64 (neg.f64 a) (fma.f64 (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (+ a b)) (.f64 (neg.f64 a) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (+ a b)) (.f64 (neg.f64 a) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 b b) b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (- a b)) (.f64 (neg.f64 a) (fma.f64 (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (- a b)) (.f64 (neg.f64 a) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (sqrt (- a b)) (.f64 (neg.f64 a) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 a a))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 b b) b)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 5 binary64)) (pow.f64 a #s(literal 6 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#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 #s(literal -1/8 binary64) (.f64 b b)) (.f64 (.f64 a a) (fabs.f64 a))) (/.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 (.f64 a a) (fabs.f64 a)))) (.f64 b b)) (/.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 b (.f64 #s(literal 0 binary64) a)) (fabs.f64 a)) #s(literal 1/2 binary64) (fabs.f64 a)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.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 (.f64 a a) (fabs.f64 a))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (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))) b (.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a)))
#s(approx (- (* a a) (* b b)) (fma.f64 (.f64 #s(literal 0 binary64) a) b (.f64 a a)))
#s(approx (- (* a a) (* b b)) (fma.f64 (fma.f64 #s(literal 0 binary64) a (neg.f64 b)) b (*.f64 a a)))
#s(approx (- a b) (+.f64 a (neg.f64 b)))
#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 (pow.f64 (sqrt.f64 a) #s(literal -6 binary64)) #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 (+ 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 (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 (+ a b)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) b) (pow.f64 (sqrt.f64 a) #s(literal 5 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 #s(literal -1/8 binary64) b) (.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) (sqrt.f64 a))) (/.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 #s(literal -1/16 binary64) b) (pow.f64 (sqrt.f64 a) #s(literal 5 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 a) (* b b))) (neg.f64 b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 a a) (neg.f64 (*.f64 b b))) #s(literal 1/2 binary64) #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (neg.f64 (*.f64 b b)))) #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (neg.f64 (.f64 b b))))) #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (neg.f64 b)) #s(literal 1/2 binary64) #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) (neg.f64 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)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) (neg.f64 (.f64 b b)))) #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (neg.f64 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)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) (neg.f64 (.f64 b b)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.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)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) (.f64 #s(literal 0 binary64) a))) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 b b) b)))) #s(literal -1 binary64)) b))
#s(approx (- (* a a) (* b b)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 0 binary64) a) b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- (* a a) (* b 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 (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 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 b b))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 a a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 a a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 a a) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 b b))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 a a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 a a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 (.f64 a a) a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 a a) a)) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 a a) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 b b))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) b))
#s(approx (sqrt (+ a b)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) b))
#s(approx (sqrt (- a b)) (.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) b))) b))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (fma.f64 (/.f64 (.f64 a a) (neg.f64 (*.f64 b b))) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (neg.f64 (*.f64 b b)))) #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (neg.f64 (.f64 b b))))) #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (fma.f64 (/.f64 (.f64 #s(literal 0 binary64) a) (neg.f64 b)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (+.f64 (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)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) (neg.f64 b)) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) #s(literal 1/2 binary64))) b)) #s(literal -1 binary64))))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (neg.f64 b) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (neg.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)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))))) (.f64 #s(literal 0 binary64) a)) (.f64 (.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) b)) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 a a (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 0 binary64) a) (.f64 #s(literal 0 binary64) a)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64)))))) #s(literal -1 binary64))) b))) b)) #s(literal -1 binary64))))
#s(approx (- (* a a) (* b b)) (.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal 0 binary64) a) b)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (- (* a a) (* b 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 (neg.f64 (/.f64 a b)) #s(literal 1 binary64))))
#s(approx (+ a b) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
#s(approx (sqrt (+ a b)) (.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
#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 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))
#s(approx (sqrt (- a b)) (.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal 5 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) b)) (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) b)))))

eval66.0ms (1.9%)

Memory: 6.9MiB live, 55.0MiB allocated; 57ms collecting garbage
Compiler: Compiled 5 230 to 882 computations (83.1% saved)

prune12.0ms (0.3%)

Memory

-30.9MiB live, 18.8MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	174	7	181

Accuracy

99.8%

Counts

181 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓	58.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	59.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	95.4%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a)))
▶	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
✓	1.1%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
✓	99.4%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 100 to 67 computations (33% saved)

series20.0ms (0.6%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Counts

22 → 35

Calls

Call 1

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

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 (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (+ (fabs a) (* -1/2 (/ (pow b 2) (fabs a))))))
#s(approx (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) #s(hole binary64 (* -1/2 (/ b (fabs a)))))
#s(approx (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) #s(hole binary64 (/ b (fabs a))))
#s(approx (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) #s(hole binary64 b))
#s(approx (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) #s(hole binary64 1))
#s(approx (/ (* (* 0 a) (* 0 a)) (* a a)) #s(hole binary64 0))
#s(approx a #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (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 (neg b) #s(hole binary64 (* -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 (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (* -1/2 (/ (pow b 2) (fabs a)))))
#s(approx (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (* (pow b 2) (- (/ (fabs a) (pow b 2)) (* 1/2 (/ 1 (fabs a)))))))
#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
7.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (neg b) b (sqrt (- (* a a) (* b b))) (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) (/ (* (* 0 a) (* 0 a)) (* a a)) (* (* 0 a) (* 0 a)) (* 0 a) 0 a (* a a) 1/4 1 (fabs a) -1/2 (* (/ (* 0 a) (fabs a)) 1/2) (/ (* 0 a) (fabs a)) 1/2)
4.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (neg b) b (sqrt (- (* a a) (* b b))) (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) (/ (* (* 0 a) (* 0 a)) (* a a)) (* (* 0 a) (* 0 a)) (* 0 a) 0 a (* a a) 1/4 1 (fabs a) -1/2 (* (/ (* 0 a) (fabs a)) 1/2) (/ (* 0 a) (fabs a)) 1/2)
3.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (neg b) b (sqrt (- (* a a) (* b b))) (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) (/ (* (* 0 a) (* 0 a)) (* a a)) (* (* 0 a) (* 0 a)) (* 0 a) 0 a (* a a) 1/4 1 (fabs a) -1/2 (* (/ (* 0 a) (fabs a)) 1/2) (/ (* 0 a) (fabs a)) 1/2)
2.0ms	b	@	-inf	((sqrt (- (* a a) (* b b))) (neg b) b (sqrt (- (* a a) (* b b))) (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) (/ (* (* 0 a) (* 0 a)) (* a a)) (* (* 0 a) (* 0 a)) (* 0 a) 0 a (* a a) 1/4 1 (fabs a) -1/2 (* (/ (* 0 a) (fabs a)) 1/2) (/ (* 0 a) (fabs a)) 1/2)
2.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (neg b) b (sqrt (- (* a a) (* b b))) (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) (/ (* (* 0 a) (* 0 a)) (* a a)) (* (* 0 a) (* 0 a)) (* 0 a) 0 a (* a a) 1/4 1 (fabs a) -1/2 (* (/ (* 0 a) (fabs a)) 1/2) (/ (* 0 a) (fabs a)) 1/2)

rewrite672.0ms (19%)

Memory

4.4MiB live, 562.8MiB allocated; 117ms collecting garbage

Counts

57 → 721

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
(neg.f64 b)
b
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a)))
(fma.f64 (fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a))
(fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 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)) b) (fabs.f64 a))
(.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)
(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 (.f64 (.f64 #s(literal 0 binary64) a) (.f64 #s(literal 0 binary64) a)) (.f64 a a))
(.f64 (.f64 #s(literal 0 binary64) a) (*.f64 #s(literal 0 binary64) a))
(*.f64 #s(literal 0 binary64) a)
#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 (.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a))
#s(literal 1/2 binary64)
#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 (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (+ (fabs a) (* -1/2 (/ (pow b 2) (fabs a))))))
#s(approx (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) #s(hole binary64 (* -1/2 (/ b (fabs a)))))
#s(approx (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) #s(hole binary64 (/ b (fabs a))))
#s(approx (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) #s(hole binary64 b))
#s(approx (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) #s(hole binary64 1))
#s(approx (/ (* (* 0 a) (* 0 a)) (* a a)) #s(hole binary64 0))
#s(approx a #s(hole binary64 a))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (fabs a) #s(hole binary64 (fabs 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 (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 (neg b) #s(hole binary64 (* -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 (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (* -1/2 (/ (pow b 2) (fabs a)))))
#s(approx (+ (* (+ (* (/ (* (+ (* (/ (* (* 0 a) (* 0 a)) (* a a)) 1/4) 1) b) (fabs a)) -1/2) (* (/ (* 0 a) (fabs a)) 1/2)) b) (fabs a)) #s(hole binary64 (* (pow b 2) (- (/ (fabs a) (pow b 2)) (* 1/2 (/ 1 (fabs a)))))))
#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
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b (fabs.f64 a)))
(+.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) (fabs.f64 a))
(+.f64 (fabs.f64 a) (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 3 binary64)) (fma.f64 (fabs.f64 a) (-.f64 (fabs.f64 a) (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a a) (fabs.f64 a)) (fma.f64 (fabs.f64 a) (-.f64 (fabs.f64 a) (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64)))))
(-.f64 (fabs.f64 a) (.f64 (neg.f64 b) (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64))))
(-.f64 (fabs.f64 a) (.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64))) b))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) (fabs.f64 a))) (/.f64 (.f64 a a) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) (fabs.f64 a))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64)) (.f64 a a)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) (fabs.f64 a)))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64))) (-.f64 (fabs.f64 a) (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) #s(literal 2 binary64)) (.f64 a a))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)) #s(literal 0 binary64)) b) (fabs.f64 a))))
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(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
#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) (.f64 (neg.f64 (.f64 b b)) (sqrt.f64 (neg.f64 (.f64 b b))))) #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 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 5 binary64))) (/.f64 (neg.f64 #s(literal 1/8 binary64)) (.f64 (.f64 b b) (sqrt.f64 (neg.f64 (.f64 b b)))))) (.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 (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal -1/2 binary64) (fabs.f64 a)))
#s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)))
#s(approx (/ (* (+ (* 0 1/4) 1) b) (fabs a)) (/.f64 b (fabs.f64 a)))
#s(approx (* (+ (* 0 1/4) 1) b) b)
#s(approx (+ (* 0 1/4) 1) #s(literal 1 binary64))
#s(approx 0 #s(literal 0 binary64))
#s(approx a a)
#s(approx (* a a) (*.f64 a a))
#s(approx (fabs a) (fabs.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a))) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)))) a a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a))) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)))) a a)))
#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) #s(literal -1/8 binary64)) (.f64 (.f64 a a) (fabs.f64 a))) (/.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 (.f64 b b) #s(literal -1/16 binary64)) (pow.f64 (fabs.f64 a) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) (fabs.f64 a)))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 a))) (*.f64 b b) (fabs.f64 a)))
#s(approx (neg b) (neg.f64 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.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))))) b))
#s(approx (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (fabs.f64 a)))
#s(approx (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (.f64 (-.f64 (/.f64 (fabs.f64 a) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 a))) (*.f64 b b)))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 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))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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)))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.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))))) (neg.f64 b)))

eval48.0ms (1.3%)

Memory: 6.5MiB live, 52.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 13 502 to 2 078 computations (84.6% saved)

prune8.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	344	7	351

Accuracy

100.0%

Counts

351 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓	58.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	59.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
✓	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
✓	1.1%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
✓	99.4%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 92 to 67 computations (27.2% saved)

series9.0ms (0.2%)

Memory

-33.7MiB live, 13.4MiB allocated; 2ms collecting garbage

Counts

9 → 31

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
(fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a))
#s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(fabs.f64 a)
a

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 (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (+ (fabs a) (* -1/2 (/ (pow b 2) (fabs a))))))
#s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) #s(hole binary64 (* -1/2 (/ b (fabs a)))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#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 (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 (* -1/2 b) #s(hole binary64 (* -1/2 b)))
#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 (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (* -1/2 (/ (pow b 2) (fabs a)))))
#s(approx (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (* (pow b 2) (- (/ (fabs a) (pow b 2)) (* 1/2 (/ 1 (fabs a)))))))
#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
3.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/ (* -1/2 b) (fabs a)) (* -1/2 b) -1/2 b (fabs a) a)
1.0ms	b	@	-inf	((sqrt (- (* a a) (* b b))) (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/ (* -1/2 b) (fabs a)) (* -1/2 b) -1/2 b (fabs a) a)
1.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/ (* -1/2 b) (fabs a)) (* -1/2 b) -1/2 b (fabs a) a)
1.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/ (* -1/2 b) (fabs a)) (* -1/2 b) -1/2 b (fabs a) a)
1.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/ (* -1/2 b) (fabs a)) (* -1/2 b) -1/2 b (fabs a) a)

rewrite488.0ms (13.8%)

Memory

3.1MiB live, 248.7MiB allocated; 104ms collecting garbage

Counts

40 → 70

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
(fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a))
#s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
b
(fabs.f64 a)
a
#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 (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (+ (fabs a) (* -1/2 (/ (pow b 2) (fabs a))))))
#s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) #s(hole binary64 (* -1/2 (/ b (fabs a)))))
#s(approx (fabs a) #s(hole binary64 (fabs a)))
#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 (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 (* -1/2 b) #s(hole binary64 (* -1/2 b)))
#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 (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (* -1/2 (/ (pow b 2) (fabs a)))))
#s(approx (+ (* (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) b) (fabs a)) #s(hole binary64 (* (pow b 2) (- (/ (fabs a) (pow b 2)) (* 1/2 (/ 1 (fabs a)))))))
#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
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (* 1 (* -1/2 b)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
(fma.f64 #s(approx (/ (* 1 (* -1/2 b)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a))
#s(approx (/ (* 1 (* -1/2 b)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)))
(*.f64 (/.f64 b (fabs.f64 a)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 b (fabs.f64 a)))
(*.f64 b (/.f64 #s(literal -1/2 binary64) (fabs.f64 a)))
(/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 (fabs.f64 a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b))) (neg.f64 (neg.f64 (fabs.f64 a))))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) b)) (fabs.f64 a)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) b) (neg.f64 (fabs.f64 a))))
(*.f64 #s(literal -1/2 binary64) b)
(*.f64 b #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
b
(*.f64 (sqrt.f64 (fabs.f64 a)) (sqrt.f64 (fabs.f64 a)))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (fabs.f64 #s(literal -1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 a) (fabs.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 a a) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 a a) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 a #s(literal 1 binary64))) (sqrt.f64 (pow.f64 a #s(literal 1 binary64))))
(fabs.f64 a)
(fabs.f64 (fabs.f64 a))
(fabs.f64 (neg.f64 a))
(fabs.f64 (neg.f64 (neg.f64 a)))
(fabs.f64 (pow.f64 a #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 a a) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 a a))
a
(*.f64 #s(literal 1 binary64) a)
(*.f64 a #s(literal 1 binary64))
#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) (.f64 (neg.f64 (.f64 b b)) (sqrt.f64 (neg.f64 (.f64 b b))))) #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) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (.f64 b b))) #s(literal 5 binary64))) (/.f64 (neg.f64 #s(literal 1/8 binary64)) (.f64 (.f64 b b) (sqrt.f64 (neg.f64 (.f64 b b)))))) (.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 (+ (/ (* 1 (* (* -1/2 b) b)) (fabs a)) (fabs a)) (fma.f64 (/.f64 (*.f64 b b) (fabs.f64 a)) #s(literal -1/2 binary64) (fabs.f64 a)))
#s(approx (/ (* 1 (* -1/2 b)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a)))
#s(approx (fabs a) (fabs.f64 a))
#s(approx a a)
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a))) a a))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)))) a a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a))) a a)))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 6 binary64)) (.f64 (log.f64 a) #s(literal 6 binary64)))) (fma.f64 (exp.f64 (-.f64 (.f64 (log.f64 b) #s(literal 4 binary64)) (.f64 (log.f64 a) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (*.f64 a a)))) a a)))
#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) #s(literal -1/8 binary64)) (.f64 (.f64 a a) (fabs.f64 a))) (/.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 (.f64 b b) #s(literal -1/16 binary64)) (pow.f64 (fabs.f64 a) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 a a) (fabs.f64 a)))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 a))) (*.f64 b b) (fabs.f64 a)))
#s(approx (* -1/2 b) (*.f64 #s(literal -1/2 binary64) 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) b))
#s(approx (+ (/ (* 1 (* (* -1/2 b) b)) (fabs a)) (fabs a)) (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (fabs.f64 a)))
#s(approx (+ (/ (* 1 (* (* -1/2 b) b)) (fabs a)) (fabs a)) (.f64 (-.f64 (/.f64 (fabs.f64 a) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 a))) (*.f64 b b)))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 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))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (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)))) (neg.f64 b)))
#s(approx (sqrt (- (* a a) (* b b))) (.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 a) #s(literal 4 binary64)) (.f64 (log.f64 b) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (exp.f64 (fma.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 5 binary64) (.f64 (log.f64 b) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (neg.f64 b)))

eval6.0ms (0.2%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 276 to 351 computations (84.6% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	61	7	68

Accuracy

100.0%

Counts

68 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
✓	58.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	59.2%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	99.7%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
✓	1.8%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
✓	1.1%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
✓	99.4%	#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Compiler

Compiled 226 to 122 computations (46% saved)

regimes43.0ms (1.2%)

Memory

-22.9MiB live, 22.3MiB allocated; 16ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))
#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 #s(approx (/ (+ 0 (* (* (+ (* 0 1/4) 1) b) -1/2)) (fabs a)) (/.f64 (*.f64 #s(literal -1/2 binary64) b) (fabs.f64 a))) b (fabs.f64 a)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.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)) b) (fabs.f64 a)) #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 #s(literal 0 binary64) a) (fabs.f64 a)) #s(literal 1/2 binary64))) b (fabs.f64 a)))

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

Calls

6 calls:

17.0ms	(*.f64 a a)
15.0ms	(*.f64 b b)
3.0ms	b
3.0ms	a
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes16.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (fabs.f64 a))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 b b)`
99.4%	1	`(*.f64 a a)`
99.4%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.4%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.4%	1	`a`
99.4%	1	`b`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes10.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 b))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
1.8%	1	`(*.f64 b b)`
1.8%	1	`(*.f64 a a)`
1.8%	1	`(-.f64 (.f64 a a) (.f64 b b))`
1.8%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
1.8%	1	`a`
1.8%	1	`b`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
1.1%	1	`(*.f64 a a)`
1.1%	1	`(-.f64 (.f64 a a) (.f64 b b))`
1.1%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
1.1%	1	`a`
1.1%	1	`b`
1.1%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

derivations1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 67 to 29 computations (56.7% saved)

preprocess37.0ms (1.1%)

Memory

-0.8MiB live, 46.2MiB allocated; 2ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 343 to 227 computations (33.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze39.0ms (1.1%)

sample788.0ms (22.3%)

preprocess64.0ms (1.8%)

series6.0ms (0.2%)

rewrite587.0ms (16.6%)

eval35.0ms (1%)

prune15.0ms (0.4%)

series19.0ms (0.5%)

rewrite539.0ms (15.2%)

eval66.0ms (1.9%)

prune12.0ms (0.3%)

series20.0ms (0.6%)

rewrite672.0ms (19%)

eval48.0ms (1.3%)

prune8.0ms (0.2%)

series9.0ms (0.2%)

rewrite488.0ms (13.8%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

regimes43.0ms (1.2%)

regimes16.0ms (0.4%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

derivations1.0ms (0%)

preprocess37.0ms (1.1%)

end0.0ms (0%)

Profiling