Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

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

analyze60.0ms (2.4%)

Memory

-2.6MiB live, 58.0MiB allocated; 36ms 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)

sample819.0ms (33%)

Memory

28.0MiB live, 1 014.5MiB allocated; 160ms collecting garbage

Samples

489.0ms	8 256×	0	valid
30.0ms	642×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-mult: 129.0ms (49.5% of total)

ival-sqrt: 82.0ms (31.5% of total)

ival-sub: 37.0ms (14.2% of total)

ival-true: 7.0ms (2.7% of total)

ival-assert: 4.0ms (1.5% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain84.0ms (3.4%)

Memory

11.0MiB live, 57.1MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
137	-	2	(1.7873470277228287e-162 -3.712896771820327e-271)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
17	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 a a)`
0	-	0	-	`a`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	oflow-rescue	118	0
↳	`(*.f64 b b)`	overflow	17
↳	`(-.f64 (.f64 a a) (.f64 b b))`	overflow	118
↳	`(*.f64 a a)`	overflow	118
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	17	0
↳	`(*.f64 a a)`	overflow	118
↳	`(*.f64 b b)`	overflow	17
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	uflow-rescue	17	0
↳	`(*.f64 b b)`	underflow	105
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	17
↳	`(*.f64 a a)`	underflow	17

Confusion

	Predicted +	Predicted -
+	135	2
-	0	119

Precision

1.0

Recall

0.9854014598540146

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	2
-	0	0	119

Precision?

1.0

Recall?

0.9854014598540146

Freqs

test

number	freq
0	121
1	118
2	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53% of total)

ival-sqrt: 3.0ms (22.7% of total)

ival-sub: 2.0ms (15.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess115.0ms (4.6%)

Memory

-8.1MiB live, 39.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	51	42
2	210	42
3	333	42
4	846	42
5	1830	42
6	3004	42
7	3347	42
8	3425	42
9	3425	42
10	3627	42
0	6	8
0	10	8
1	23	8
2	83	8
3	225	8
4	405	8
5	836	8
6	1387	8
7	2071	8
8	2896	8
9	3206	8
10	3268	8
11	3268	8
12	3346	8
0	3346	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 8 to 6 computations (25% saved)

series7.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB 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 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#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))
#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)))
#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 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))))
#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) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (- (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))

Calls

6 calls:

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

simplify181.0ms (7.3%)

Memory

-18.5MiB live, 78.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	805
1	408	804
2	1920	793
0	8683	713

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

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

rewrite43.0ms (1.7%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	41	23
0	352	23

Stop Event

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

Counts

6 → 83

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

eval29.0ms (1.2%)

Memory: -32.0MiB live, 14.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 795 to 395 computations (78% saved)

prune3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Accuracy

100.0%

Counts

119 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
▶	50.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	93.3%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 b b) a))
▶	99.5%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series31.0ms (1.2%)

Memory

-3.6MiB live, 37.8MiB allocated; 6ms collecting garbage

Counts

15 → 149

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (/ -1/2 a) #s(hole binary64 (/ -1/2 a)))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* (sqrt b) (sqrt -1))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 a))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))))
#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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))))
#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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (* -1 (* (sqrt b) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	-inf	((sqrt (- (* a a) (* b b))) a (sqrt (- (* a a) (* b b))) (+ (* (/ -1/2 a) (* b b)) a) (/ -1/2 a) -1/2 (* b b) b (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (sqrt (- a b)))
4.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) a (sqrt (- (* a a) (* b b))) (+ (* (/ -1/2 a) (* b b)) a) (/ -1/2 a) -1/2 (* b b) b (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (sqrt (- a b)))
4.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) a (sqrt (- (* a a) (* b b))) (+ (* (/ -1/2 a) (* b b)) a) (/ -1/2 a) -1/2 (* b b) b (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (sqrt (- a b)))
3.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) a (sqrt (- (* a a) (* b b))) (+ (* (/ -1/2 a) (* b b)) a) (/ -1/2 a) -1/2 (* b b) b (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (sqrt (- a b)))
3.0ms	a	@	0	((sqrt (- (* a a) (* b b))) a (sqrt (- (* a a) (* b b))) (+ (* (/ -1/2 a) (* b b)) a) (/ -1/2 a) -1/2 (* b b) b (sqrt (* (- a b) (+ b a))) (* (- a b) (+ b a)) (- a b) (+ b a) (* (sqrt (+ b a)) (sqrt (- a b))) (sqrt (+ b a)) (sqrt (- a b)))

simplify189.0ms (7.6%)

Memory

42.5MiB live, 186.8MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	730	4339
1	2256	3507
0	10409	3270

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 149

Calls

Call 1

Inputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (/ -1/2 a) #s(hole binary64 (/ -1/2 a)))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* (sqrt b) (sqrt -1))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 a))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))))
#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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* a (- (* -1 (/ b a)) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (* -1 a))) (pow a 2))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))))
#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 (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (+ b a) #s(hole binary64 (* b (+ 1 (/ a b)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (sqrt (* (- a b) (+ b a))) #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) (+ b a))) #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) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))
#s(approx (+ b a) #s(hole binary64 (* -1 (* b (- (* -1 (/ a b)) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (sqrt (+ b a)) #s(hole binary64 (* -1 (* (sqrt b) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ b a)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))))

Outputs
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a a) b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 (+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) a) a) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) #s(literal 3 binary64)))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx a #s(hole binary64 a))
#s(approx a a)
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) b))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) (/.f64 (fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 a a)) a))
#s(approx (/ -1/2 a) #s(hole binary64 (/ -1/2 a)))
#s(approx (/ -1/2 a) (/.f64 #s(literal -1/2 binary64) a))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (sqrt (- (* a a) (* b b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (.f64 a (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* -1 (pow b 2))))
#s(approx (* (- a b) (+ b a)) (*.f64 (neg.f64 b) b))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))))
#s(approx (* (- a b) (+ b a)) (fma.f64 (neg.f64 b) b #s(literal 0 binary64)))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))))
#s(approx (* (- a b) (+ b a)) (*.f64 (+.f64 b a) (-.f64 a b)))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- a b) (-.f64 a b))
#s(approx (+ b a) #s(hole binary64 b))
#s(approx (+ b a) b)
#s(approx (+ b a) #s(hole binary64 (+ a b)))
#s(approx (+ b a) (+.f64 b a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (.f64 a (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (fma.f64 a (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (sqrt b)))
#s(approx (sqrt (+ b a)) (sqrt.f64 b))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))))
#s(approx (sqrt (+ b a)) (fma.f64 (*.f64 a #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (.f64 a #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b)))
#s(approx (sqrt (+ b a)) #s(hole binary64 (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))))
#s(approx (sqrt (+ b a)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (* (sqrt b) (sqrt -1))))
#s(approx (sqrt (- a b)) (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- a b)) #s(hole binary64 (+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))))
#s(approx (sqrt (- a b)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64))) a (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- (* a a) (* b b))) #s(hole binary64 a))
#s(approx (sqrt (- (* a a) (* b b))) 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))) (.f64 (fma.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a))
#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))) (.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64))) a))
#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))) (fma.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) a a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 a))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) a)
#s(approx (+ (* (/ -1/2 a) (* b b)) a) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (/ -1/2 a) (* b b)) a) (.f64 (fma.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/2 binary64) a) #s(literal 1 binary64)) a))
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 a))
#s(approx (sqrt (- (* a a) (* b b))) a)
#s(approx (sqrt (* (- a b) (+ b a))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (sqrt (- (* a a) (* b b))) a)
#s(approx (sqrt (* (- a b) (+ b a))) #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 a) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 1 binary64)) a))
#s(approx (sqrt (* (- a b) (+ b a))) #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 (sqrt (- (* a a) (* b b))) (*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 1 binary64))) a))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (pow a 2)))
#s(approx (* (- a b) (+ b a)) (*.f64 a a))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))))
#s(approx (* (- a b) (+ b a)) (*.f64 a a))
#s(approx (* (- a b) (+ b a)) #s(hole binary64 (* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))))
#s(approx (* (- a b) (+ b a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 b) b) (.f64 a a))) (.f64 a a)))
#s(approx (- a b) #s(hole binary64 a))
#s(approx (- a b) a)
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (- a b) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
#s(approx (+ b a) #s(hole binary64 a))
#s(approx (+ b a) a)
#s(approx (+ b a) #s(hole binary64 (* a (+ 1 (/ b a)))))
#s(approx (+ b a) (fma.f64 (/.f64 b a) a a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) a)
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) a)
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- a b))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) #s(literal 1 binary64)) a))
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#s(approx (+ b a) (fma.f64 (/.f64 a b) b b))
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#s(approx (sqrt (+ b a)) #s(hole binary64 (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))))
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#s(approx (sqrt (- a b)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b)))
#s(approx (sqrt (- a b)) #s(hole binary64 (* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))))
#s(approx (sqrt (- a b)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 b)))

rewrite60.0ms (2.4%)

Memory

-30.7MiB live, 72.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	81
1	107	81
0	875	81

Stop Event

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

Counts

15 → 174

Calls

Call 1

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

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

eval38.0ms (1.5%)

Memory: 23.4MiB live, 68.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 465 to 1 193 computations (84% saved)

prune11.0ms (0.4%)

Memory

-22.9MiB live, 22.7MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	352	1	353
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	353	4	357

Accuracy

100.0%

Counts

357 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	50.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	100.0%	#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a))
✓	99.5%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 45 to 32 computations (28.9% saved)

series9.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

7 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((* (sqrt (+ b a)) (sqrt (- a b))) (+ (* (* b (/ b a)) -1/2) a) (* b (/ b a)) b (/ b a) a -1/2)
1.0ms	b	@	-inf	((* (sqrt (+ b a)) (sqrt (- a b))) (+ (* (* b (/ b a)) -1/2) a) (* b (/ b a)) b (/ b a) a -1/2)
1.0ms	b	@	inf	((* (sqrt (+ b a)) (sqrt (- a b))) (+ (* (* b (/ b a)) -1/2) a) (* b (/ b a)) b (/ b a) a -1/2)
1.0ms	a	@	inf	((* (sqrt (+ b a)) (sqrt (- a b))) (+ (* (* b (/ b a)) -1/2) a) (* b (/ b a)) b (/ b a) a -1/2)
1.0ms	a	@	0	((* (sqrt (+ b a)) (sqrt (- a b))) (+ (* (* b (/ b a)) -1/2) a) (* b (/ b a)) b (/ b a) a -1/2)

simplify123.0ms (5%)

Memory

-2.4MiB live, 141.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	964
1	802	686
2	4790	657
0	8484	629

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (sqrt -1))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))))
#s(approx (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (* -1/2 (/ (pow b 2) a))))
#s(approx (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)))
#s(approx (* b (/ b a)) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 a))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))))
#s(approx (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (+ a (* -1/2 (/ (pow b 2) a)))))
#s(approx b #s(hole binary64 b))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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 (+ (* (* b (/ b a)) -1/2) a) #s(hole binary64 (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (sqrt -1)))))
#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) #s(hole binary64 (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))))
#s(approx (* (sqrt (+ b a)) (sqrt (- 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 (+ b a)) (sqrt (- 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)))))))

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

rewrite199.0ms (8%)

Memory

15.9MiB live, 239.2MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
0	16	36
1	63	36
2	428	36
3	5646	36
0	8126	36

Stop Event

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

Counts

7 → 85

Calls

Call 1

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

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

eval13.0ms (0.5%)

Memory: -12.8MiB live, 34.9MiB allocated; 1ms collecting garbage
Compiler: Compiled 4 969 to 441 computations (91.1% saved)

prune5.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	111	4	115

Accuracy

100.0%

Counts

115 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
✓	50.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	100.0%	#s(approx (* (sqrt (+ b a)) (sqrt (- a b))) (fma.f64 (*.f64 b (/.f64 b a)) #s(literal -1/2 binary64) a))
✓	99.5%	#s(approx (sqrt (- (* a a) (* b b))) a)

Compiler

Compiled 115 to 63 computations (45.2% saved)

regimes61.0ms (2.5%)

Memory

-57.0MiB live, 27.3MiB allocated; 70ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

51.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	b
2.0ms	a
2.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes8.0ms (0.3%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Accuracy

Total -31.9b remaining (-9737%)

Threshold costs -31.9b (-9737%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(*.f64 b b)`
99.5%	1	`(*.f64 a a)`
99.5%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.5%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.5%	1	`a`
99.5%	1	`b`

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify61.0ms (2.5%)

Memory

-29.5MiB live, 67.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	31	28
2	90	28
3	232	28
4	412	28
5	845	28
6	1396	28
7	2080	28
8	2909	28
9	3219	28
10	3281	28
11	3281	28
12	3359	28

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations281.0ms (11.3%)

Memory

23.7MiB live, 68.4MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 17 computations (39.3% saved)

preprocess51.0ms (2%)

Memory: -8.5MiB live, 38.5MiB allocated; 11ms collecting garbage
Remove: (abs b)
Compiler: Compiled 206 to 136 computations (34% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze60.0ms (2.4%)

sample819.0ms (33%)

explain84.0ms (3.4%)

preprocess115.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.3%)

simplify181.0ms (7.3%)

rewrite43.0ms (1.7%)

eval29.0ms (1.2%)

prune3.0ms (0.1%)

series31.0ms (1.2%)

simplify189.0ms (7.6%)

rewrite60.0ms (2.4%)

eval38.0ms (1.5%)

prune11.0ms (0.4%)

series9.0ms (0.4%)

simplify123.0ms (5%)

rewrite199.0ms (8%)

eval13.0ms (0.5%)

prune5.0ms (0.2%)

regimes61.0ms (2.5%)

regimes8.0ms (0.3%)

simplify61.0ms (2.5%)

derivations281.0ms (11.3%)

preprocess51.0ms (2%)

end0.0ms (0%)

Profiling