Metrics for bug366, discussion (missed optimization)

analyze38.0ms (0.4%)

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 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (51.2% of total)

ival-sqrt: 5.0ms (32% of total)

ival-sub: 3.0ms (19.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample820.0ms (7.7%)

Results

568.0ms	8256×	0	valid
33.0ms	642×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-mult: 152.0ms (50.5% of total)

ival-sqrt: 70.0ms (23.3% of total)

ival-sub: 69.0ms (22.9% of total)

const: 7.0ms (2.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess222.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2632×	`sum4-define`
2236×	`sum3-define`
1930×	`fnmadd-define`
1482×	`fma-define`
1446×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	71	38
2	172	38
3	466	38
4	1361	38
5	3199	38
6	6508	38
7	7820	38
0	6	6
1	18	6
2	30	6
3	60	6
4	141	6
5	567	6
6	2334	6
7	4137	6
8	7874	6
0	8060	6

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs
(sqrt (- (* a a) (* b b)))
(sqrt (- (* (neg a) (neg a)) (* b b)))
(sqrt (- (* a a) (* (neg b) (neg b))))
(neg (sqrt (- (* (neg a) (neg a)) (* b b))))
(neg (sqrt (- (* a a) (* (neg b) (neg b)))))
(sqrt (- (* b b) (* a a)))

Outputs
(sqrt (- (* a a) (* b b)))
(sqrt (fmsub a a (square b)))
(sqrt (- (* (neg a) (neg a)) (* b b)))
(sqrt (fmsub a a (square b)))
(sqrt (- (* a a) (* (neg b) (neg b))))
(sqrt (fmsub a a (square b)))
(neg (sqrt (- (* (neg a) (neg a)) (* b b))))
(neg (sqrt (fmsub a a (square b))))
(neg (sqrt (- (* a a) (* (neg b) (neg b)))))
(neg (sqrt (fmsub a a (square b))))
(sqrt (- (* b b) (* a a)))
(sqrt (fnmadd a a (square b)))

Symmetry

(abs a)

(abs b)

explain68.0ms (0.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(4.0800555935914614e-156 1.5597175227659945e-195)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
18	-	0	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`b`
0	-	0	-	`a`
0	-	0	-	`(*.f64 a a)`

Results

42.0ms

512×

valid

Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.7% of total)

ival-sqrt: 4.0ms (25.3% of total)

ival-sub: 3.0ms (19% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 b b)
✓	cost-diff	(*.f64 a a)
✓	cost-diff	(-.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Rules

2632×	`sum4-define`
1446×	`sum3-define`
1442×	`fmsub-define`
1396×	`fma-define`
1298×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	18	17
2	30	17
3	60	17
4	141	17
5	567	17
6	2334	17
7	4137	17
8	7874	17
0	8060	17

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize26.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	94.4%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	53.3%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

19.0ms

256×

valid

Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (42.6% of total)

ival-sqrt: 4.0ms (42.6% of total)

ival-sub: 1.0ms (10.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (sqrt (- (* a a) (* b b)))>
#<alt (- (* a a) (* b b))>
#<alt (* a a)>
#<alt (* b b)>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))>
#<alt (+ (* 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)))))))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))>
#<alt (* -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))))))))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ 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)))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	inf	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	0	(sqrt (- (* a a) (* b b)))
0.0ms	a	@	inf	(sqrt (- (* a a) (* b b)))
0.0ms	a	@	inf	(- (* a a) (* b b))

rewrite270.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`-lowering-.f32`
1884×	`-lowering-.f64`
1848×	`sum3-define`
1652×	`fma-lowering-fma.f32`
1652×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	39	15
2	278	15
3	3449	15
0	8005	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 239

Calls

Call 1

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

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

simplify2.1s (19.9%)

Algorithm

1×	egg-herbie

Rules

3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
1966×	`fnmadd-define`
1424×	`/-lowering-/.f32`
1424×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	776
1	356	649
2	1295	607
3	5518	604
0	8050	604

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* 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)))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* 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)))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -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))))))))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ 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)))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -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))))))))
(* -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)))))))))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)

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

eval35.0ms (0.3%)

Compiler: Compiled 11066 to 863 computations (92.2% saved)

prune41.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	305	6	311
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	305	7	312

Accuracy

100.0%

Counts

312 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
▶	82.4%	(+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
▶	99.0%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
▶	99.2%	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
▶	86.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	52.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	98.2%	a

Compiler

Compiled 168 to 104 computations (38.1% saved)

simplify195.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	128	(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
✓	cost-diff	128	(+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 b b))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a)))
✓	cost-diff	256	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓	cost-diff	0	(.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a)))
✓	cost-diff	0	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
✓	cost-diff	0	(-.f64 a b)
✓	cost-diff	0	(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
✓	cost-diff	64	(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
✓	cost-diff	64	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))

Rules

2598×	`-lowering-.f32`
2598×	`-lowering-.f64`
2434×	`/-lowering-/.f32`
2434×	`/-lowering-/.f64`
2062×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	158
1	83	151
2	220	149
3	739	148
4	1905	145
5	2636	145
6	5283	145
7	6238	145
0	8876	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow (- a b) 1/2) (pow (+ a b) 1/2))
(pow (- a b) 1/2)
(- a b)
a
b
1/2
(pow (+ a b) 1/2)
(+ a b)
a
(+ a (* b (* b (/ -1/2 a))))
a
(* b (* b (/ -1/2 a)))
b
(* b (/ -1/2 a))
(/ -1/2 a)
-1/2
(* a (+ 1 (/ (* -1/2 (* b b)) (* a a))))
a
(+ 1 (/ (* -1/2 (* b b)) (* a a)))
1
(/ (* -1/2 (* b b)) (* a a))
(* -1/2 (* b b))
-1/2
(* b b)
b
(* a a)
(+ a (* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))))
a
(* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))
(* b b)
b
(+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))
(/ (* -1/8 (* b b)) (* a (* a a)))
(* -1/8 (* b b))
-1/8
(* a (* a a))
(* a a)
(/ -1/2 a)
-1/2

Outputs
(* (pow (- a b) 1/2) (pow (+ a b) 1/2))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(pow (- a b) 1/2)
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(- a b)
(-.f64 a b)
a
b
1/2
#s(literal 1/2 binary64)
(pow (+ a b) 1/2)
(sqrt.f64 (+.f64 a b))
(+ a b)
(+.f64 a b)
a
(+ a (* b (* b (/ -1/2 a))))
(+.f64 a (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))
a
(* b (* b (/ -1/2 a)))
(.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a))
b
(* b (/ -1/2 a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
(* a (+ 1 (/ (* -1/2 (* b b)) (* a a))))
(+.f64 a (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))
a
(+ 1 (/ (* -1/2 (* b b)) (* a a)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)) a))
1
#s(literal 1 binary64)
(/ (* -1/2 (* b b)) (* a a))
(/.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)) a)
(* -1/2 (* b b))
(.f64 b (.f64 b #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* b b)
(*.f64 b b)
b
(* a a)
(*.f64 a a)
(+ a (* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))))
(+.f64 a (.f64 b (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))))))
a
(* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))
(.f64 b (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a)))))
(* b b)
(*.f64 b b)
b
(+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))
(/ (* -1/8 (* b b)) (* a (* a a)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (* b b))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)

localize161.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -1/8 binary64) (.f64 b b))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	89.3%	(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
✓	accuracy	75.9%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 b b))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	accuracy	73.8%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) a)
✓	accuracy	100.0%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
✓	accuracy	99.8%	(.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a)))
✓	accuracy	99.7%	(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
✓	accuracy	99.2%	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))

Results

99.0ms

256×

valid

Compiler

Compiled 198 to 28 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 17.0ms (38.7% of total)

ival-pow: 13.0ms (29.6% of total)

ival-add: 6.0ms (13.6% of total)

ival-div: 5.0ms (11.4% of total)

ival-sub: 2.0ms (4.5% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series40.0ms (0.4%)

Counts

21 → 432

Calls

Call 1

Inputs
#<alt (* (pow (- a b) 1/2) (pow (+ a b) 1/2))>
#<alt (pow (+ a b) 1/2)>
#<alt (pow (- a b) 1/2)>
#<alt (- a b)>
#<alt (+ a (* b (* b (/ -1/2 a))))>
#<alt (* b (* b (/ -1/2 a)))>
#<alt (* b (/ -1/2 a))>
#<alt (/ -1/2 a)>
#<alt (* a (+ 1 (/ (* -1/2 (* b b)) (* a a))))>
#<alt (+ 1 (/ (* -1/2 (* b b)) (* a a)))>
#<alt (/ (* -1/2 (* b b)) (* a a))>
#<alt (* -1/2 (* b b))>
#<alt (+ a (* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))))>
#<alt (* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))>
#<alt (* b b)>
#<alt (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))>
#<alt (+ a b)>
#<alt (* a a)>
#<alt (/ (* -1/8 (* b b)) (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* -1/8 (* b b))>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))>
#<alt (* -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))))>
#<alt (* -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))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt b) (sqrt -1)))>
#<alt (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (* -1/2 (/ b a))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))>
#<alt (/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ -1/2 a)>
#<alt (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))>
#<alt (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))>
#<alt (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))>
#<alt (/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))>
#<alt (/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))>
#<alt (/ -1/2 a)>
#<alt (/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)>
#<alt (/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)>
#<alt (/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)>
#<alt (/ -1/2 a)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>
#<alt (* -1/8 (pow b 2))>

Calls

108 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/ -1/2 a)
1.0ms	b	@	inf	(pow (+ a b) 1/2)
1.0ms	a	@	0	(* (pow (- a b) 1/2) (pow (+ a b) 1/2))
1.0ms	b	@	-inf	(* b (/ -1/2 a))
1.0ms	b	@	-inf	(pow (+ a b) 1/2)

rewrite378.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3338×	`-lowering-.f32`
3338×	`-lowering-.f64`
3266×	`/-lowering-/.f32`
3266×	`/-lowering-/.f64`
1866×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	136
1	183	126
2	1986	124
0	8588	124

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 703

Calls

Call 1

Inputs
(* (pow (- a b) 1/2) (pow (+ a b) 1/2))
(pow (+ a b) 1/2)
(pow (- a b) 1/2)
(- a b)
(+ a (* b (* b (/ -1/2 a))))
(* b (* b (/ -1/2 a)))
(* b (/ -1/2 a))
(/ -1/2 a)
(* a (+ 1 (/ (* -1/2 (* b b)) (* a a))))
(+ 1 (/ (* -1/2 (* b b)) (* a a)))
(/ (* -1/2 (* b b)) (* a a))
(* -1/2 (* b b))
(+ a (* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))))
(* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))
(* b b)
(+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a))
(+ a b)
(* a a)
(/ (* -1/8 (* b b)) (* a (* a a)))
(* a (* a a))
(* -1/8 (* b b))

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

simplify312.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4646×	`-lowering-.f32`
4646×	`-lowering-.f64`
2340×	`+-lowering-+.f64`
2340×	`+-lowering-+.f32`
1436×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	4774
1	1771	3929
2	7457	3857
0	8167	3857

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* 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)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -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))))
(* -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))))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ 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))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* 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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -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)))))
(* -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)))))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* 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))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* 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)))))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* 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)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* (pow b 2) (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (pow a 2)))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) (pow a 2))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
1
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (/ (pow b 2) (pow a 2)))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(* -1/2 (/ (pow b 2) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ -1/2 a)
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1 (* (pow b 2) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ -1/2 a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ -1/2 a)
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))
(* -1/8 (pow b 2))

Outputs
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(+ (* 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)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) a)) (+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
(+ (* 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)))
(+.f64 (+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) (+.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 b b))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 b b))) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) a))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 0 binary64)) a))))
(* 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)))))))
(.f64 a (+.f64 (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 0 binary64)) a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal 0 binary64)) (.f64 a (*.f64 a a))))))
(* -1 (* a (pow (sqrt -1) 2)))
a
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) a)
(* -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))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 b (*.f64 b #s(literal -1/2 binary64))) #s(literal 0 binary64)) a) #s(literal 0 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -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))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 (.f64 b (*.f64 b #s(literal 1/2 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) a)) a)) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+.f64 a (.f64 b (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 #s(literal 0 binary64) (*.f64 a a)))) a) (/.f64 #s(literal 0 binary64) a))))
(+ 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))))))))
(+.f64 (+.f64 a (/.f64 #s(literal 0 binary64) a)) (+.f64 (/.f64 (.f64 b (.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 #s(literal 0 binary64) (.f64 a a))))) a) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 a a)) #s(literal 0 binary64))) (.f64 a (*.f64 a a)))))
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(+.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* 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)))))))
(.f64 b (+.f64 (/.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b b)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))))
(* 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))))))))
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (*.f64 a a))) (-.f64 #s(literal 0 binary64) a))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
(* a (+ 1 (/ b a)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) a)) #s(literal -1 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) b) a)) #s(literal -1 binary64)))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (/ a b)))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))
(* -1/8 (pow b 2))
(.f64 (.f64 b b) #s(literal -1/8 binary64))

eval150.0ms (1.4%)

Compiler: Compiled 29655 to 2975 computations (90% saved)

prune142.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1219	7	1226
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	1221	12	1233

Accuracy

100.0%

Counts

1233 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
	52.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
▶	46.7%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
▶	82.4%	(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
	86.7%	(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
	67.5%	(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
✓	99.0%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
▶	99.2%	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
▶	77.7%	(.f64 (pow.f64 (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
✓	86.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	52.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	98.2%	a

Compiler

Compiled 551 to 233 computations (57.7% saved)

simplify257.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
✓	cost-diff	256	(*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b)))
✓	cost-diff	256	(pow.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64))
✓	cost-diff	320	(.f64 (pow.f64 (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
✓	cost-diff	128	(.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))
✓	cost-diff	256	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a)))))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
✓	cost-diff	512	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))
✓	cost-diff	0	(+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))))
✓	cost-diff	384	(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 b (.f64 b #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
✓	cost-diff	0	(sqrt.f64 (+.f64 a b))
✓	cost-diff	0	(-.f64 a b)
✓	cost-diff	0	(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))

Rules

4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
2340×	`+-lowering-+.f64`
2340×	`+-lowering-+.f32`
1838×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	417
1	116	350
2	371	348
3	1570	326
4	4935	326
0	8492	326

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow (- a b) 1/2) (sqrt (+ a b)))
(pow (- a b) 1/2)
(- a b)
a
b
1/2
(sqrt (+ a b))
(+ a b)
(/ (+ (* a a) (* b (* b -1/2))) a)
(+ (* a a) (* b (* b -1/2)))
(* a a)
a
(* b (* b -1/2))
b
(* b -1/2)
-1/2
(+ (+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))) (/ (* b b) (/ a -1/2)))
(+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a)))))
a
(* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))
(* b b)
b
(/ (* (* b b) -1/8) (* a (* a a)))
(* (* b b) -1/8)
-1/8
(* a (* a a))
(* a a)
(/ (* b b) (/ a -1/2))
(/ a -1/2)
-1/2
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))
(/ -1/2 a)
-1/2
a
(/ (* (* b b) -1/8) (* a (* a a)))
(* (* b b) -1/8)
(* b b)
b
-1/8
(* a (* a a))
(* a a)
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(* (pow (* b (+ -1 (/ a b))) 1/2) (pow (+ a b) 1/2))
(pow (* b (+ -1 (/ a b))) 1/2)
(* b (+ -1 (/ a b)))
b
(+ -1 (/ a b))
-1
(/ a b)
a
1/2
(pow (+ a b) 1/2)
(+ a b)

Outputs
(* (pow (- a b) 1/2) (sqrt (+ a b)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(pow (- a b) 1/2)
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(- a b)
(-.f64 a b)
a
b
1/2
#s(literal 1/2 binary64)
(sqrt (+ a b))
(sqrt.f64 (+.f64 a b))
(+ a b)
(+.f64 a b)
(/ (+ (* a a) (* b (* b -1/2))) a)
(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
(+ (* a a) (* b (* b -1/2)))
(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
(* a a)
(*.f64 a a)
a
(* b (* b -1/2))
(.f64 b (.f64 b #s(literal -1/2 binary64)))
b
(* b -1/2)
(*.f64 b #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))) (/ (* b b) (/ a -1/2)))
(+.f64 a (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a)))))
(+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a)))))
(+.f64 a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b (/.f64 (.f64 b (/.f64 (.f64 b b) a)) a))) a))
a
(* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b (/.f64 (.f64 b (/.f64 (.f64 b b) a)) a))) a)
(* b b)
(*.f64 b b)
b
(/ (* (* b b) -1/8) (* a (* a a)))
(/.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/8 binary64)) a)) (*.f64 a a))
(* (* b b) -1/8)
(.f64 b (.f64 b #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(/ (* b b) (/ a -1/2))
(/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64)))
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(+.f64 (/.f64 (.f64 b (.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))))) (-.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) a)) (/.f64 (.f64 a a) (-.f64 a (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))))))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(/.f64 (.f64 b (.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))))) (-.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) a))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(.f64 b (.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))))))
(+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))
(+.f64 (/.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/8 binary64)) a)) (*.f64 a a)) (/.f64 #s(literal -1/2 binary64) a))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(/ (* (* b b) -1/8) (* a (* a a)))
(/.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/8 binary64)) a)) (*.f64 a a))
(* (* b b) -1/8)
(.f64 b (.f64 b #s(literal -1/8 binary64)))
(* b b)
(*.f64 b b)
b
-1/8
#s(literal -1/8 binary64)
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))))
(- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)
(-.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a)))) a)
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(/.f64 (.f64 a a) (-.f64 (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) a))
(* (pow (* b (+ -1 (/ a b))) 1/2) (pow (+ a b) 1/2))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(pow (* b (+ -1 (/ a b))) 1/2)
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(* b (+ -1 (/ a b)))
(-.f64 a b)
b
(+ -1 (/ a b))
(+.f64 #s(literal -1 binary64) (/.f64 a b))
-1
#s(literal -1 binary64)
(/ a b)
(/.f64 a b)
a
1/2
#s(literal 1/2 binary64)
(pow (+ a b) 1/2)
(sqrt.f64 (+.f64 a b))
(+ a b)
(+.f64 a b)

localize322.0ms (3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 a b))
✓	accuracy	99.2%	(.f64 (pow.f64 (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
✓	accuracy	78.2%	(*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b)))
✓	accuracy	91.1%	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a)))))))
✓	accuracy	89.3%	(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))))
✓	accuracy	75.9%	(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
✓	accuracy	53.2%	(/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	89.3%	(/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64)))
✓	accuracy	86.8%	(.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))
✓	accuracy	75.9%	(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	94.4%	(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
✓	accuracy	53.2%	(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a b))
✓	accuracy	100.0%	(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
✓	accuracy	99.2%	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))

Results

193.0ms

256×

valid

Compiler

Compiled 538 to 41 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-pow: 42.0ms (37.5% of total)

ival-add: 27.0ms (24.1% of total)

ival-mult: 21.0ms (18.8% of total)

ival-div: 14.0ms (12.5% of total)

ival-sub: 4.0ms (3.6% of total)

ival-sqrt: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

series48.0ms (0.5%)

Counts

28 → 612

Calls

Call 1

Inputs
#<alt (* (pow (- a b) 1/2) (sqrt (+ a b)))>
#<alt (pow (- a b) 1/2)>
#<alt (- a b)>
#<alt (sqrt (+ a b))>
#<alt (/ (+ (* a a) (* b (* b -1/2))) a)>
#<alt (+ (* a a) (* b (* b -1/2)))>
#<alt (* a a)>
#<alt (* b (* b -1/2))>
#<alt (+ (+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))) (/ (* b b) (/ a -1/2)))>
#<alt (+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a)))))>
#<alt (* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))>
#<alt (* b b)>
#<alt (- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))>
#<alt (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))>
#<alt (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))>
#<alt (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))>
#<alt (* (pow (* b (+ -1 (/ a b))) 1/2) (pow (+ a b) 1/2))>
#<alt (pow (* b (+ -1 (/ a b))) 1/2)>
#<alt (* b (+ -1 (/ a b)))>
#<alt (pow (+ a b) 1/2)>
#<alt (+ a b)>
#<alt (* b -1/2)>
#<alt (/ (* (* b b) -1/8) (* a (* a a)))>
#<alt (/ (* b b) (/ a -1/2))>
#<alt (* a (* a a))>
#<alt (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))>
#<alt (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))>
#<alt (+ -1 (/ a b))>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))>
#<alt (* -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))))>
#<alt (* -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))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt b) (sqrt -1)))>
#<alt (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
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#<alt (/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)>
#<alt (* -1/2 (/ (pow b 4) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (* (sqrt -1) (+ a (* -1 a))) b)))))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2)))) b)) (* 1/2 (* (sqrt -1) (+ a (* -1 a))))) b)))))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sqrt -1) (* (+ a (* -1 a)) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2))))) b)) (* 1/2 (* (sqrt -1) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2)))))) b)) (* 1/2 (* (sqrt -1) (+ a (* -1 a))))) b)))))>
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))>
#<alt (+ (* 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)))))))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt b) (sqrt -1)))>
#<alt (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 b)>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/2 b)>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (* (pow a 5) (- (* 32 (/ (pow a 2) (pow b 6))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* (pow a 5) (- (* (pow a 2) (+ (* -64 (/ (pow a 2) (pow b 8))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* (pow a 5) (- (* (pow a 2) (+ (* (pow a 2) (- (* 512 (/ (pow a 4) (pow b 12))) (* 64 (/ 1 (pow b 8))))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* -1 a)>
#<alt (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1))>
#<alt (* a (- (* -1 (/ (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* a (- (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))))) (* 1/16 (pow b 6))) (pow a 6))) (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))) (pow a 4)))) (* 1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))))) (* -1/16 (pow b 6))) (pow a 6)))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))))>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* 1/2 (/ (pow b 2) a)))>
#<alt (+ (* -1 a) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1 a) (* (pow b 2) (+ (* (pow b 2) (- (* 1/64 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt -1>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>
#<alt (/ a b)>
#<alt (* a (- (/ 1 b) (/ 1 a)))>
#<alt (* a (- (/ 1 b) (/ 1 a)))>
#<alt (* a (- (/ 1 b) (/ 1 a)))>
#<alt (/ a b)>
#<alt (* -1 (* a (- (/ 1 a) (/ 1 b))))>
#<alt (* -1 (* a (- (/ 1 a) (/ 1 b))))>
#<alt (* -1 (* a (- (/ 1 a) (/ 1 b))))>
#<alt (/ a b)>
#<alt (/ (+ a (* -1 b)) b)>
#<alt (/ (+ a (* -1 b)) b)>
#<alt (/ (+ a (* -1 b)) b)>
#<alt -1>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>
#<alt -1>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>
#<alt (- (/ a b) 1)>

Calls

153 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
6.0ms	a	@	inf	(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
2.0ms	a	@	-inf	(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
1.0ms	a	@	0	(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
1.0ms	b	@	0	(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))

rewrite421.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
2566×	`pow-lowering-pow.f64`
2566×	`pow-lowering-pow.f32`
2524×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	297
1	292	241
2	3296	237
0	8500	237

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 696

Calls

Call 1

Inputs
(* (pow (- a b) 1/2) (sqrt (+ a b)))
(pow (- a b) 1/2)
(- a b)
(sqrt (+ a b))
(/ (+ (* a a) (* b (* b -1/2))) a)
(+ (* a a) (* b (* b -1/2)))
(* a a)
(* b (* b -1/2))
(+ (+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))) (/ (* b b) (/ a -1/2)))
(+ a (* (* b b) (/ (* (* b b) -1/8) (* a (* a a)))))
(* (* b b) (/ (* (* b b) -1/8) (* a (* a a))))
(* b b)
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(* (pow (* b (+ -1 (/ a b))) 1/2) (pow (+ a b) 1/2))
(pow (* b (+ -1 (/ a b))) 1/2)
(* b (+ -1 (/ a b)))
(pow (+ a b) 1/2)
(+ a b)
(* b -1/2)
(/ (* (* b b) -1/8) (* a (* a a)))
(/ (* b b) (/ a -1/2))
(* a (* a a))
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(+ -1 (/ a b))

Outputs
(exp.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(exp.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 a b))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (-.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (*.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 a b) (*.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 a b) (*.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 a b) (+.f64 a b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 a a) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (-.f64 a b) (-.f64 a b)) (+.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 a b)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 a b) (-.f64 a b))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64)) (.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(sqrt.f64 (-.f64 a b))
(/.f64 (sqrt.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (sqrt.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (+.f64 a b)))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 a b) (-.f64 a b)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(+.f64 a (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) a)
(exp.f64 (log.f64 (-.f64 a b)))
(-.f64 a b)
(-.f64 (/.f64 (.f64 a (.f64 a a)) (+.f64 (.f64 a a) (.f64 b (+.f64 a b)))) (/.f64 (.f64 b (.f64 b b)) (+.f64 (.f64 a a) (.f64 b (+.f64 a b)))))
(-.f64 (/.f64 (.f64 a a) (+.f64 a b)) (/.f64 (.f64 b b) (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a b) (-.f64 (.f64 a a) (.f64 b b))))
(/.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 a b))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (neg.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b)))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (neg.f64 (+.f64 a b)))
(/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -1 binary64) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b)) (.f64 a (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 (.f64 a a) (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b))) (-.f64 a (-.f64 #s(literal 0 binary64) b)))
(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 a a) (.f64 b b)))) (+.f64 a b))
(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))))
(pow.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a b) (-.f64 (.f64 a a) (.f64 b b))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b)))))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 a b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 a b)) #s(literal 1/4 binary64)) (.f64 (log.f64 (+.f64 a b)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b)))))
(exp.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b))) (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 a b)))))
(sqrt.f64 (+.f64 a b))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (sqrt.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
(pow.f64 (+.f64 a b) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 a b) (+.f64 a b)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (.f64 a a) (*.f64 b (+.f64 a b)))))
(exp.f64 (.f64 (log.f64 (/.f64 a (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))) a))
(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (.f64 a (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (.f64 a (-.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 a a)))) a))
(/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64)) a)
(/.f64 (.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (*.f64 a a)))))
(/.f64 (.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (*.f64 a a))))))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
(+.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (*.f64 a a))
(-.f64 (/.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 (.f64 a a) (.f64 b (.f64 b #s(literal -1/2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(fma.f64 a a (.f64 b (.f64 b #s(literal -1/2 binary64))))
(fma.f64 b (.f64 b #s(literal -1/2 binary64)) (.f64 a a))
(fma.f64 (.f64 b #s(literal -1/2 binary64)) b (.f64 a a))
(fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 a a))
(/.f64 (+.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (.f64 a a)))))
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(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 (.f64 b (.f64 b b)) (/.f64 (.f64 a (.f64 a a)) #s(literal -1/8 binary64))) (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a))
(fma.f64 b (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a))))
(fma.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 (.f64 b (*.f64 b #s(literal -1/2 binary64))) a))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (*.f64 a a))))
(fma.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (.f64 b b) (/.f64 (.f64 b (*.f64 b #s(literal -1/2 binary64))) a))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b b) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (*.f64 a a))))
(fma.f64 (/.f64 (.f64 b b) a) #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (*.f64 a a))))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (.f64 (.f64 a (.f64 a a)) (.f64 b b))) (.f64 (.f64 a (.f64 a a)) (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 b b)))) (.f64 (.f64 a (.f64 a a)) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (/.f64 a (.f64 b (.f64 b #s(literal -1/2 binary64))))) (.f64 (.f64 a (.f64 a a)) #s(literal 1 binary64))) (.f64 (.f64 a (.f64 a a)) (/.f64 a (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 b b) (.f64 a (.f64 a a))) (.f64 (/.f64 a #s(literal -1/2 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))))) (.f64 (/.f64 a #s(literal -1/2 binary64)) (.f64 a (.f64 a a))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))))) (.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 a a))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 (/.f64 a (.f64 b (.f64 b #s(literal -1/2 binary64)))) (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))))) (.f64 (/.f64 a (.f64 b (.f64 b #s(literal -1/2 binary64)))) (.f64 a (*.f64 a a))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1/512 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a))) (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a)))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 a (.f64 a a))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) #s(literal -1/512 binary64))))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b)))) (-.f64 (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a))) (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b b) (.f64 b b))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b b)))) (-.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a) (/.f64 (.f64 b (.f64 b (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 a (.f64 a a)))))
(/.f64 (.f64 (.f64 b b) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 b (.f64 b #s(literal -1/8 binary64)))))) (.f64 a (.f64 a (*.f64 a a))))
(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (-.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 b b)) (.f64 a (.f64 a (*.f64 a a))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 a (.f64 a a)))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))) (.f64 b b)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (-.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (.f64 b b)) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(.f64 b (.f64 b (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
(.f64 (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b))
(.f64 (.f64 b (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) b)
(+.f64 #s(literal -1 binary64) (/.f64 a b))
(+.f64 (/.f64 a b) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b))) (/.f64 (/.f64 (.f64 a a) (.f64 b b)) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(fma.f64 a (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b))) (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(/.f64 (-.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a b) (-.f64 (/.f64 a b) #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b))))

simplify433.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

5476×	`+-lowering-+.f64`
5476×	`+-lowering-+.f32`
5032×	`-lowering-.f32`
5032×	`-lowering-.f64`
1274×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	942	8864
1	3251	7714
0	8647	7714

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* 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)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -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))))
(* -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))))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ 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))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* 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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -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)))))
(* -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)))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* 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)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* 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))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* 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)))))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (pow b 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/2 (pow b 2))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/8 (pow b 4)) (pow a 4)) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (pow a 4)) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (pow a 4)) (pow a 3))
a
(* a (+ 1 (* -1/8 (/ (pow b 4) (pow a 4)))))
(* a (+ 1 (* -1/8 (/ (pow b 4) (pow a 4)))))
(* a (+ 1 (* -1/8 (/ (pow b 4) (pow a 4)))))
a
(* -1 (* a (- (* 1/8 (/ (pow b 4) (pow a 4))) 1)))
(* -1 (* a (- (* 1/8 (/ (pow b 4) (pow a 4))) 1)))
(* -1 (* a (- (* 1/8 (/ (pow b 4) (pow a 4))) 1)))
a
(+ a (* -1/8 (/ (pow b 4) (pow a 3))))
(+ a (* -1/8 (/ (pow b 4) (pow a 3))))
(+ a (* -1/8 (/ (pow b 4) (pow a 3))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* (pow b 4) (- (/ a (pow b 4)) (* 1/8 (/ 1 (pow a 3)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (* -1 (pow b 2)) (* -1/2 (pow b 2))))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (+ (* -1 (* (pow a 2) (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2)))))) (* -1 (pow b 2))) (* -1/2 (pow b 2))))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (+ (* -1 (pow b 2)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2)))) (pow b 2))) (* 8 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 4)))))) (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2))))))) (* -1/2 (pow b 2))))) (pow a 3))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))
(* a (+ 1 (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4)))) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/4 (/ (pow b 4) (pow a 4))))))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))) 1)))
(* -1 (* a (- (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4)))) (pow a 6))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/16 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))))) 1)))
a
(- (* -1/2 (/ (pow b 2) a)) (* -1 a))
(- (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))) (* -1 a))
(- (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))) (* -1 a))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (* -1 (/ (+ (* -4 (pow a 3)) (* 4 (pow a 3))) (pow b 6))) (+ (* -1 (/ a (pow b 4))) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2)))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (* -1 (/ (+ (* -4 (pow a 3)) (* 4 (pow a 3))) (pow b 6))) (+ (* -1 (/ a (pow b 4))) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2)))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (* -1 (pow b 2)) (* -1/2 (pow b 2))))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (+ (* -1 (* (pow a 2) (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2)))))) (* -1 (pow b 2))) (* -1/2 (pow b 2))))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (- (+ (* -1 (pow b 2)) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2)))) (pow b 2))) (* 8 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 4)))))) (+ 1 (* 4 (/ (- (* -1 (pow b 2)) (* -1/2 (pow b 2))) (pow b 2))))))) (* -1/2 (pow b 2))))) (pow a 3))
(* -1/4 (/ (pow b 4) (pow a 3)))
(/ (- (+ (* -1/4 (pow b 4)) (* -1/64 (/ (pow b 8) (pow a 4)))) (* -1/32 (/ (pow b 8) (pow a 4)))) (pow a 3))
(/ (- (+ (* -1/2 (/ (* (pow b 2) (- (* -1/64 (pow b 8)) (* -1/32 (pow b 8)))) (pow a 6))) (+ (* -1/4 (pow b 4)) (* -1/64 (/ (pow b 8) (pow a 4))))) (* -1/32 (/ (pow b 8) (pow a 4)))) (pow a 3))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (pow b 4) (- (* -1/64 (pow b 8)) (* -1/32 (pow b 8))))) (* 1/8 (* (pow b 4) (- (* -1/64 (pow b 8)) (* -1/32 (pow b 8)))))) (pow a 8))) (+ (* -1/4 (pow b 4)) (* -1/64 (/ (pow b 8) (pow a 4))))) (+ (* -1/32 (/ (pow b 8) (pow a 4))) (* 1/2 (/ (* (pow b 2) (- (* -1/64 (pow b 8)) (* -1/32 (pow b 8)))) (pow a 6))))) (pow a 3))
(* -1/4 (/ (pow b 4) (pow a 3)))
(* -1 (/ (- (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4))) (* 1/32 (/ (pow b 8) (pow a 4)))) (pow a 3)))
(* -1 (/ (- (+ (* -1/2 (/ (* (pow b 2) (- (* 1/64 (pow b 8)) (* 1/32 (pow b 8)))) (pow a 6))) (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4)))) (* 1/32 (/ (pow b 8) (pow a 4)))) (pow a 3)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (pow b 4) (- (* 1/64 (pow b 8)) (* 1/32 (pow b 8))))) (* 1/8 (* (pow b 4) (- (* 1/64 (pow b 8)) (* 1/32 (pow b 8)))))) (pow a 8))) (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4)))) (+ (* 1/32 (/ (pow b 8) (pow a 4))) (* 1/2 (/ (* (pow b 2) (- (* 1/64 (pow b 8)) (* 1/32 (pow b 8)))) (pow a 6))))) (pow a 3)))
(* -1/4 (/ (pow b 4) (pow a 3)))
(* (pow b 4) (- (* 1/64 (/ (pow b 4) (pow a 7))) (* 1/4 (/ 1 (pow a 3)))))
(* (pow b 4) (- (* (pow b 4) (+ (* -1/128 (/ (pow b 2) (pow a 9))) (* 1/64 (/ 1 (pow a 7))))) (* 1/4 (/ 1 (pow a 3)))))
(* (pow b 4) (- (* (pow b 4) (+ (* (pow b 2) (- (* 1/512 (/ (pow b 2) (pow a 11))) (* 1/128 (/ 1 (pow a 9))))) (* 1/64 (/ 1 (pow a 7))))) (* 1/4 (/ 1 (pow a 3)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (/ 1/2 (* a (pow b 2))) (* 1/8 (/ 1 (pow a 3))))))
(* (pow b 4) (- (* -1 (/ (+ (* -4 (pow a 3)) (* 4 (pow a 3))) (pow b 6))) (+ (* -1 (/ a (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/8 (/ 1 (pow a 3)))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (/ 1/2 (* a (pow b 2))) (* 1/8 (/ 1 (pow a 3))))))
(* (pow b 4) (- (* -1 (/ (+ (* -4 (pow a 3)) (* 4 (pow a 3))) (pow b 6))) (+ (* -1 (/ a (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/8 (/ 1 (pow a 3)))))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(/ (+ (* 1/64 (pow b 8)) (* 1/8 (* (pow a 2) (pow b 6)))) (pow a 6))
(/ (+ (* 1/64 (pow b 8)) (* (pow a 2) (+ (* 1/8 (pow b 6)) (* 1/4 (* (pow a 2) (pow b 4)))))) (pow a 6))
(/ (+ (* 1/64 (pow b 8)) (* (pow a 2) (+ (* 1/8 (pow b 6)) (* 1/4 (* (pow a 2) (pow b 4)))))) (pow a 6))
(* 1/4 (/ (pow b 4) (pow a 2)))
(/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(* 1/4 (/ (pow b 4) (pow a 2)))
(/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(* 1/4 (/ (pow b 4) (pow a 2)))
(* (pow b 4) (+ (* 1/8 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 4) (+ (* (pow b 2) (+ (* 1/64 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 4) (+ (* (pow b 2) (+ (* 1/64 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2)))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(* (pow b 8) (+ (* 1/8 (/ 1 (* (pow a 4) (pow b 2)))) (* 1/64 (/ 1 (pow a 6)))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(* (pow b 8) (+ (* 1/8 (/ 1 (* (pow a 4) (pow b 2)))) (* 1/64 (/ 1 (pow a 6)))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* -1/2 (/ (pow b 4) a))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(* -1/2 (/ (pow b 4) a))
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(* -1/2 (/ (pow b 4) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ 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))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* 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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (* (sqrt -1) (+ a (* -1 a))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2)))) b)) (* 1/2 (* (sqrt -1) (+ a (* -1 a))))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (sqrt -1) (* (+ a (* -1 a)) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2))))) b)) (* 1/2 (* (sqrt -1) (- (* -1 (pow a 2)) (* 1/4 (pow (+ a (* -1 a)) 2)))))) b)) (* 1/2 (* (sqrt -1) (+ a (* -1 a))))) b)))))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* 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)))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* 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)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (/ (pow b 4) (* (pow a 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (pow b 6) (* (pow a 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (pow b 2) (pow a 2))) (pow (sqrt -1) 2))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* 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)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -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)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 b)
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* 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))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* 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)))))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* -8 (/ (pow a 5) (pow b 4)))
(* (pow a 5) (- (* 32 (/ (pow a 2) (pow b 6))) (* 8 (/ 1 (pow b 4)))))
(* (pow a 5) (- (* (pow a 2) (+ (* -64 (/ (pow a 2) (pow b 8))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))
(* (pow a 5) (- (* (pow a 2) (+ (* (pow a 2) (- (* 512 (/ (pow a 4) (pow b 12))) (* 64 (/ 1 (pow b 8))))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))
(* -1 a)
(* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1))
(* a (- (* -1 (/ (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* a (- (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))))) (* 1/16 (pow b 6))) (pow a 6))) (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))) (pow a 4)))) (* 1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))))) (* -1/16 (pow b 6))) (pow a 6)))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))))
(* -1 a)
(+ (* -1 a) (* 1/2 (/ (pow b 2) a)))
(+ (* -1 a) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ (* -1 a) (* (pow b 2) (+ (* (pow b 2) (- (* 1/64 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(* -8 (/ (pow a 5) (pow b 4)))
(/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))
(* -8 (/ (pow a 5) (pow b 4)))
(/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(* -1/2 (/ (pow b 2) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
-1
(- (/ a b) 1)
(- (/ a b) 1)
(- (/ a b) 1)
(/ a b)
(* a (- (/ 1 b) (/ 1 a)))
(* a (- (/ 1 b) (/ 1 a)))
(* a (- (/ 1 b) (/ 1 a)))
(/ a b)
(* -1 (* a (- (/ 1 a) (/ 1 b))))
(* -1 (* a (- (/ 1 a) (/ 1 b))))
(* -1 (* a (- (/ 1 a) (/ 1 b))))
(/ a b)
(/ (+ a (* -1 b)) b)
(/ (+ a (* -1 b)) b)
(/ (+ a (* -1 b)) b)
-1
(- (/ a b) 1)
(- (/ a b) 1)
(- (/ a b) 1)
-1
(- (/ a b) 1)
(- (/ a b) 1)
(- (/ a b) 1)

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

eval407.0ms (3.8%)

Compiler: Compiled 132846 to 4369 computations (96.7% saved)

prune178.0ms (1.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	2112	6	2118
Fresh	0	3	3
Picked	3	2	5
Done	0	4	4
Total	2115	15	2130

Accuracy

100.0%

Counts

2130 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
	20.0%	(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))) a)
▶	51.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
▶	52.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
▶	46.7%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
✓	82.4%	(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
	45.0%	(+.f64 (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))) (.f64 a a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))))
▶	86.7%	(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
	67.5%	(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
✓	99.0%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
	54.7%	(.f64 (sqrt.f64 b) (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) (+.f64 a b)) #s(literal 1/2 binary64)))
✓	86.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	52.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	98.2%	a

Compiler

Compiled 703 to 297 computations (57.8% saved)

simplify265.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 a a) (.f64 b b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
✓	cost-diff	128	(.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))
✓	cost-diff	256	(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a)))))))
✓	cost-diff	256	(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (*.f64 b b) #s(literal -1/2 binary64)) a) a))
✓	cost-diff	384	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a))
✓	cost-diff	0	(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
✓	cost-diff	0	(sqrt.f64 (+.f64 a b))
✓	cost-diff	0	(-.f64 a b)
✓	cost-diff	0	(sqrt.f64 (-.f64 a b))
✓	cost-diff	0	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Rules

3962×	`-lowering-.f32`
3962×	`-lowering-.f64`
2400×	`+-lowering-+.f64`
2400×	`+-lowering-+.f32`
1548×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	419
1	122	352
2	396	351
3	1556	335
4	4927	330
0	8535	330

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sqrt (- a b)) (sqrt (+ a b)))
(sqrt (- a b))
(- a b)
a
b
(sqrt (+ a b))
(+ a b)
(/ 1 (/ a (+ (* a a) (* b (* b -1/2)))))
1
(/ a (+ (* a a) (* b (* b -1/2))))
a
(+ (* a a) (* b (* b -1/2)))
(* a a)
(* b (* b -1/2))
b
(* b -1/2)
-1/2
(+ a (* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)))
a
(* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a))
(* b b)
b
(/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)
(+ -1/2 (/ (* (* b b) -1/8) (* a a)))
-1/2
(/ (* (* b b) -1/8) (* a a))
(* (* b b) -1/8)
-1/8
(* a a)
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))
(/ -1/2 a)
-1/2
a
(/ (* (* b b) -1/8) (* a (* a a)))
(* (* b b) -1/8)
(* b b)
b
-1/8
(* a (* a a))
(* a a)
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(- (/ (* (* b b) -1/2) a) a)
(/ (* (* b b) -1/2) a)
(* (* b b) -1/2)
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)
(/ 1 (sqrt (/ 1 (- (* a a) (* b b)))))
1
(sqrt (/ 1 (- (* a a) (* b b))))
(/ 1 (- (* a a) (* b b)))
(- (* a a) (* b b))
(* a a)
a
(* b b)
b

Outputs
(* (sqrt (- a b)) (sqrt (+ a b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(sqrt (- a b))
(sqrt.f64 (-.f64 a b))
(- a b)
(-.f64 a b)
a
b
(sqrt (+ a b))
(sqrt.f64 (+.f64 a b))
(+ a b)
(+.f64 a b)
(/ 1 (/ a (+ (* a a) (* b (* b -1/2)))))
(+.f64 a (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)))
1
#s(literal 1 binary64)
(/ a (+ (* a a) (* b (* b -1/2))))
(/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))
a
(+ (* a a) (* b (* b -1/2)))
(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
(* a a)
(*.f64 a a)
(* b (* b -1/2))
(.f64 b (.f64 b #s(literal -1/2 binary64)))
b
(* b -1/2)
(*.f64 b #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ a (* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)))
(+.f64 a (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a)))
a
(* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a))
(* b b)
(*.f64 b b)
b
(/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))) a)
(+ -1/2 (/ (* (* b b) -1/8) (* a a)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a)))
-1/2
#s(literal -1/2 binary64)
(/ (* (* b b) -1/8) (* a a))
(/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))
(* (* b b) -1/8)
(.f64 b (.f64 b #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)
(* a a)
(*.f64 a a)
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(+.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (.f64 b b) a)) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (.f64 b b) a)) (-.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)) a))) (/.f64 (.f64 a a) (-.f64 a (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a)))))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (.f64 b b) a)) (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (.f64 b b) a)) (-.f64 (.f64 b (/.f64 (*.f64 b #s(literal -1/2 binary64)) a)) a)))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(.f64 (.f64 b b) (.f64 (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))) (.f64 (/.f64 b a) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a))))))
(+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))
(+.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b (.f64 b (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(/ (* (* b b) -1/8) (* a (* a a)))
(.f64 b (.f64 b (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))))
(* (* b b) -1/8)
(.f64 b (.f64 b #s(literal -1/8 binary64)))
(* b b)
(*.f64 b b)
b
-1/8
#s(literal -1/8 binary64)
(* a (* a a))
(.f64 a (.f64 a a))
(* a a)
(*.f64 a a)
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(.f64 (.f64 b b) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a)))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a))
(- (/ (* (* b b) -1/2) a) a)
(-.f64 (.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a)) a)
(/ (* (* b b) -1/2) a)
(.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a))
(* (* b b) -1/2)
(.f64 b (.f64 b #s(literal -1/2 binary64)))
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(/.f64 (.f64 a a) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (.f64 b b) a)) a))
(- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)
(-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a))) (/.f64 (*.f64 b b) a)) a)
(/ 1 (sqrt (/ 1 (- (* a a) (* b b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 a b))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (- (* a a) (* b b))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 a b)))
(/ 1 (- (* a a) (* b b)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (-.f64 a b))
(- (* a a) (* b b))
(-.f64 (.f64 a a) (.f64 b b))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b

localize179.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))
✓	accuracy	94.4%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	54.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))))
✓	accuracy	89.3%	(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
✓	accuracy	89.3%	(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))))
✓	accuracy	75.9%	(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
✓	accuracy	53.2%	(/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)
✓	accuracy	89.3%	(.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a))
✓	accuracy	73.8%	(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
✓	accuracy	94.4%	(+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
✓	accuracy	53.0%	(/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a b))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 a b))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

Results

111.0ms

256×

valid

Compiler

Compiled 528 to 42 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 21.0ms (33.6% of total)

ival-div: 20.0ms (32% of total)

ival-sub: 8.0ms (12.8% of total)

ival-add: 6.0ms (9.6% of total)

ival-sqrt: 6.0ms (9.6% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series46.0ms (0.4%)

Counts

26 → 600

Calls

Call 1

Inputs
#<alt (* (sqrt (- a b)) (sqrt (+ a b)))>
#<alt (sqrt (- a b))>
#<alt (- a b)>
#<alt (sqrt (+ a b))>
#<alt (/ 1 (/ a (+ (* a a) (* b (* b -1/2)))))>
#<alt (/ a (+ (* a a) (* b (* b -1/2))))>
#<alt (+ (* a a) (* b (* b -1/2)))>
#<alt (* a a)>
#<alt (+ a (* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)))>
#<alt (* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a))>
#<alt (* b b)>
#<alt (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)>
#<alt (- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))>
#<alt (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a))>
#<alt (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))>
#<alt (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))>
#<alt (/ 1 (sqrt (/ 1 (- (* a a) (* b b)))))>
#<alt (sqrt (/ 1 (- (* a a) (* b b))))>
#<alt (/ 1 (- (* a a) (* b b)))>
#<alt (- (* a a) (* b b))>
#<alt (+ a b)>
#<alt (/ (* (* b b) -1/8) (* a a))>
#<alt (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))>
#<alt (/ (* (* b b) -1/8) (* a (* a a)))>
#<alt (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))>
#<alt (/ (* (* b b) -1/2) a)>

Outputs
#<alt (* b (sqrt -1))>
#<alt (+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))>
#<alt (* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* a (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))>
#<alt (* -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))))>
#<alt (* -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))))>
#<alt a>
#<alt (+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))>
#<alt (+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))>
#<alt (+ 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))))))))>
#<alt (* b (sqrt -1))>
#<alt (* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* b (sqrt -1)))>
#<alt (* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (* (sqrt b) (sqrt -1))>
#<alt (* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt b) (sqrt -1)))>
#<alt (* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt (- a b)>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt (* a (+ 1 (* -1 (/ b a))))>
#<alt a>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt (* -1 (* a (- (/ b a) 1)))>
#<alt a>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (+ a (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* b (- (/ a b) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ a b)))))>
#<alt (sqrt b)>
#<alt (+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))>
#<alt (+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))>
#<alt (+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))>
#<alt (+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))>
#<alt (+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))>
#<alt (sqrt b)>
#<alt (* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))>
#<alt (* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))>
#<alt (* 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)))))))))>
#<alt (* -1 (* (sqrt b) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))>
#<alt (* -2 (/ a (pow b 2)))>
#<alt (* a (- (* -4 (/ (pow a 2) (pow b 4))) (* 2 (/ 1 (pow b 2)))))>
#<alt (* a (- (* (pow a 2) (- (* -8 (/ (pow a 2) (pow b 6))) (* 4 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 2)))))>
#<alt (* a (- (* (pow a 2) (- (* (pow a 2) (- (* -16 (/ (pow a 2) (pow b 8))) (* 8 (/ 1 (pow b 6))))) (* 4 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 2)))))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))) a)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow b 4) (pow a 4)))) (* -1/2 (/ (pow b 2) (pow a 2)))) a)>
#<alt (/ (- (+ 1 (* 1/8 (/ (pow b 6) (pow a 6)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/4 (/ (pow b 4) (pow a 4))))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1) a))>
#<alt (* -1 (/ (- (* -1/4 (/ (pow b 4) (pow a 4))) (+ 1 (* 1/2 (/ (pow b 2) (pow a 2))))) a))>
#<alt (* -1 (/ (- (* -1/8 (/ (pow b 6) (pow a 6))) (+ 1 (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))) a))>
#<alt (/ 1 a)>
#<alt (+ (* 1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))>
#<alt (+ (* (pow b 2) (+ (* 1/4 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))>
#<alt (+ (* (pow b 2) (+ (* (pow b 2) (+ (* 1/8 (/ (pow b 2) (pow a 7))) (* 1/4 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))>
#<alt (* -2 (/ a (pow b 2)))>
#<alt (/ (+ (* -4 (/ (pow a 3) (pow b 2))) (* -2 a)) (pow b 2))>
#<alt (/ (- (+ (* -8 (/ (pow a 5) (pow b 4))) (* -2 a)) (* 4 (/ (pow a 3) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -16 (/ (pow a 7) (pow b 6))) (* -2 a)) (+ (* 4 (/ (pow a 3) (pow b 2))) (* 8 (/ (pow a 5) (pow b 4))))) (pow b 2))>
#<alt (* -2 (/ a (pow b 2)))>
#<alt (/ (+ (* -4 (/ (pow a 3) (pow b 2))) (* -2 a)) (pow b 2))>
#<alt (/ (- (+ (* -8 (/ (pow a 5) (pow b 4))) (* -2 a)) (* 4 (/ (pow a 3) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ (* -16 (/ (pow a 7) (pow b 6))) (* -2 a)) (+ (* 4 (/ (pow a 3) (pow b 2))) (* 8 (/ (pow a 5) (pow b 4))))) (pow b 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (+ (* -1/2 (pow b 2)) (pow a 2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (* -1/2 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))>
#<alt (/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))>
#<alt a>
#<alt (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))>
#<alt a>
#<alt (+ a (* -1/2 (/ (pow b 2) a)))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
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#<alt (/ (+ (sqrt -1) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))) b)>
#<alt (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))) b)>
#<alt (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow a 2) (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4))) (pow (sqrt -1) 2))) (pow a 6)) (* (pow b 6) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))) b)>
#<alt (* -1 (/ (sqrt -1) b))>
#<alt (* -1 (/ (+ (sqrt -1) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))) b))>
#<alt (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))) b))>
#<alt (* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow a 2) (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4))) (pow (sqrt -1) 2))) (pow a 6)) (* (pow b 6) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))) b))>
#<alt (/ -1 (pow b 2))>
#<alt (- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 6) (pow a 6))) (+ (* -1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 6) (pow a 6))) (+ (* -1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 4) (pow a 4))))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))>
#<alt (+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ -1 (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 2) (pow b 2))) 1) (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 4) (pow b 4))) (+ 1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 6) (pow b 6))) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (/ -1 (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 2) (pow b 2))) 1) (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 4) (pow b 4))) (+ 1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (* -1 (/ (pow a 6) (pow b 6))) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 4) (pow b 4))))) (pow b 2))>
#<alt (* -1 (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (- (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (+ (* -1 (pow b 2)) (pow a 2))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* -1 (pow b 2))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt (* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 2)))>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (* (pow a 5) (- (* 32 (/ (pow a 2) (pow b 6))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* (pow a 5) (- (* (pow a 2) (+ (* -64 (/ (pow a 2) (pow b 8))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* (pow a 5) (- (* (pow a 2) (+ (* (pow a 2) (- (* 512 (/ (pow a 4) (pow b 12))) (* 64 (/ 1 (pow b 8))))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))>
#<alt (* -1 a)>
#<alt (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1))>
#<alt (* a (- (* -1 (/ (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* a (- (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))))) (* 1/16 (pow b 6))) (pow a 6))) (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))) (pow a 4)))) (* 1/2 (/ (pow b 2) (pow a 2))))))>
#<alt (* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))))) (* -1/16 (pow b 6))) (pow a 6)))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))))>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* 1/2 (/ (pow b 2) a)))>
#<alt (+ (* -1 a) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1 a) (* (pow b 2) (+ (* (pow b 2) (- (* 1/64 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))>
#<alt (* -8 (/ (pow a 5) (pow b 4)))>
#<alt (/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))>
#<alt (/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/8 (/ (pow b 2) (pow a 3)))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))>
#<alt (* -1/8 (/ (pow b 4) (pow a 3)))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>
#<alt (* -1/2 (/ (pow b 2) a))>

Calls

150 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/ a (+ (* a a) (* b (* b -1/2))))
1.0ms	a	@	0	(sqrt (/ 1 (- (* a a) (* b b))))
1.0ms	b	@	inf	(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
1.0ms	b	@	inf	(sqrt (/ 1 (- (* a a) (* b b))))
1.0ms	a	@	0	(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))

rewrite345.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4086×	`-lowering-.f32`
4086×	`-lowering-.f64`
2758×	`pow-lowering-pow.f64`
2758×	`pow-lowering-pow.f32`
2720×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	323
1	318	254
2	3452	253
0	8983	253

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 694

Calls

Call 1

Inputs
(* (sqrt (- a b)) (sqrt (+ a b)))
(sqrt (- a b))
(- a b)
(sqrt (+ a b))
(/ 1 (/ a (+ (* a a) (* b (* b -1/2)))))
(/ a (+ (* a a) (* b (* b -1/2))))
(+ (* a a) (* b (* b -1/2)))
(* a a)
(+ a (* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)))
(* (* b b) (/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a))
(* b b)
(/ (+ -1/2 (/ (* (* b b) -1/8) (* a a))) a)
(- (/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a)) (/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a)))
(/ (* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))) (- (/ (* (* b b) -1/2) a) a))
(* (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))) (* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))))
(* (* b b) (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))))
(/ 1 (sqrt (/ 1 (- (* a a) (* b b)))))
(sqrt (/ 1 (- (* a a) (* b b))))
(/ 1 (- (* a a) (* b b)))
(- (* a a) (* b b))
(+ a b)
(/ (* (* b b) -1/8) (* a a))
(/ (* a a) (- (* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a))))) a))
(/ (* (* b b) -1/8) (* a (* a a)))
(* (* b b) (+ (/ -1/2 a) (/ (* (* b b) -1/8) (* a (* a a)))))
(/ (* (* b b) -1/2) a)

Outputs
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (*.f64 b b)))) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)) (.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 a b)) #s(literal 1/2 binary64)) (.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (.f64 a a) (*.f64 b b))))))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (sqrt.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (hypot.f64 a b))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a b)))
(*.f64 (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 a b) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))))) a)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) #s(literal -1 binary64)))
(.f64 (/.f64 a (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))))) a)) a)
(.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 b b)))))) (.f64 a (.f64 a a)))) (+.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 b b))))) (.f64 a (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))))))
(.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 b (.f64 b (.f64 b b))))) (.f64 a a))) (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))))
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(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 b)) (.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64))))
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(neg.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))))
(neg.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (.f64 a (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (/.f64 (.f64 b (*.f64 b #s(literal -1/8 binary64))) a)))
(/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))
(/.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (*.f64 a a)) a)
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(/.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(/.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) a) (*.f64 a a))
(/.f64 (.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) #s(literal 1 binary64)) (.f64 a (*.f64 a a)))
(/.f64 (neg.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))))
(/.f64 (neg.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) a)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(/.f64 (.f64 (/.f64 (.f64 b b) a) #s(literal -1/8 binary64)) (*.f64 a a))
(pow.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b #s(literal -1/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 a a) (/.f64 (.f64 b (*.f64 b #s(literal -1/8 binary64))) a)) #s(literal -1 binary64))
(.f64 b (.f64 b (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))))
(.f64 b (.f64 (.f64 b #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))
(.f64 b (/.f64 (.f64 b #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))
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(.f64 (.f64 b b) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))
(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b b) (.f64 a (.f64 a a))))
(.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))
(.f64 (.f64 (.f64 b b) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (*.f64 a a)))))
(.f64 (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/8 binary64) (*.f64 a a)))
(.f64 (/.f64 #s(literal -1/8 binary64) a) (/.f64 (.f64 b b) (*.f64 a a)))
(.f64 (/.f64 #s(literal -1/8 binary64) a) (pow.f64 (/.f64 (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (*.f64 b b) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) a))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 b (*.f64 b #s(literal -1/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) a) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (.f64 b b))
(.f64 (/.f64 b a) (/.f64 (.f64 b #s(literal -1/8 binary64)) (*.f64 a a)))
(.f64 (/.f64 b (.f64 a a)) (/.f64 (*.f64 b #s(literal -1/8 binary64)) a))
(.f64 (/.f64 (.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1/8 binary64) a))
(.f64 (pow.f64 (/.f64 a b) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 a a) (*.f64 b #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) a))
(.f64 (pow.f64 (/.f64 (.f64 a a) b) #s(literal -1 binary64)) (pow.f64 (/.f64 a (*.f64 b #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 b b) (/.f64 a #s(literal -1/2 binary64))) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a)))))
(+.f64 (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b b) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b)))) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1/512 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b b) (/.f64 a #s(literal -1/2 binary64))) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))) (-.f64 (/.f64 (.f64 b b) (/.f64 a #s(literal -1/2 binary64))) (.f64 (.f64 b b) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))))))
(/.f64 (.f64 (.f64 b b) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 b (.f64 b #s(literal -1/8 binary64)))))) (.f64 a (.f64 a (*.f64 a a))))
(/.f64 (.f64 (.f64 b b) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1/512 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (-.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))))) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 b (.f64 b #s(literal -1/8 binary64))))) (.f64 b b)) (.f64 a (.f64 a (*.f64 a a))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1/512 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))) (.f64 b b)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (-.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 b (.f64 b (.f64 b b))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a a) (.f64 a (.f64 a (.f64 a a))))))) (.f64 b b)) (-.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(.f64 b (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))))))
(.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))))
(.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a)))) (.f64 b b))
(.f64 (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))))) b)
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 b (.f64 b #s(literal -1/2 binary64))) a)
(/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (.f64 (.f64 b (*.f64 b #s(literal -1/2 binary64))) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (.f64 (.f64 b b) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 a #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a)))
(.f64 b (.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(.f64 b (/.f64 (.f64 b #s(literal -1/2 binary64)) a))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b b)))
(.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 b a))
(.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 b (/.f64 #s(literal 1 binary64) a)))
(.f64 (.f64 b (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 b b) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 b b))
(.f64 (.f64 (*.f64 b b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)

simplify669.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

5886×	`-lowering-.f32`
5886×	`-lowering-.f64`
4384×	`+-lowering-+.f64`
4384×	`+-lowering-+.f32`
1376×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1147	9422
1	3926	8178
0	8786	8178

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* 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)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -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))))
(* -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))))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ 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))))))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* 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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -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)))))
(* -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)))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* 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)))
(+ (* 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)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* 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)))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* (sqrt b) (sqrt -1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 b)
(- a b)
(- a b)
(- a b)
a
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (* -1 (/ b a))))
a
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (/ b a) 1)))
a
(+ a (* -1 b))
(+ a (* -1 b))
(+ a (* -1 b))
(* -1 b)
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* b (- (/ a b) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* 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))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(sqrt b)
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* 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)))))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* -1/2 (/ (pow b 2) a)))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* -2 (/ a (pow b 2)))
(* a (- (* -4 (/ (pow a 2) (pow b 4))) (* 2 (/ 1 (pow b 2)))))
(* a (- (* (pow a 2) (- (* -8 (/ (pow a 2) (pow b 6))) (* 4 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 2)))))
(* a (- (* (pow a 2) (- (* (pow a 2) (- (* -16 (/ (pow a 2) (pow b 8))) (* 8 (/ 1 (pow b 6))))) (* 4 (/ 1 (pow b 4))))) (* 2 (/ 1 (pow b 2)))))
(/ 1 a)
(/ (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))) a)
(/ (- (+ 1 (* 1/4 (/ (pow b 4) (pow a 4)))) (* -1/2 (/ (pow b 2) (pow a 2)))) a)
(/ (- (+ 1 (* 1/8 (/ (pow b 6) (pow a 6)))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/4 (/ (pow b 4) (pow a 4))))) a)
(/ 1 a)
(* -1 (/ (- (* -1/2 (/ (pow b 2) (pow a 2))) 1) a))
(* -1 (/ (- (* -1/4 (/ (pow b 4) (pow a 4))) (+ 1 (* 1/2 (/ (pow b 2) (pow a 2))))) a))
(* -1 (/ (- (* -1/8 (/ (pow b 6) (pow a 6))) (+ 1 (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))) a))
(/ 1 a)
(+ (* 1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (+ (* 1/4 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (* 1/8 (/ (pow b 2) (pow a 7))) (* 1/4 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(* -2 (/ a (pow b 2)))
(/ (+ (* -4 (/ (pow a 3) (pow b 2))) (* -2 a)) (pow b 2))
(/ (- (+ (* -8 (/ (pow a 5) (pow b 4))) (* -2 a)) (* 4 (/ (pow a 3) (pow b 2)))) (pow b 2))
(/ (- (+ (* -16 (/ (pow a 7) (pow b 6))) (* -2 a)) (+ (* 4 (/ (pow a 3) (pow b 2))) (* 8 (/ (pow a 5) (pow b 4))))) (pow b 2))
(* -2 (/ a (pow b 2)))
(/ (+ (* -4 (/ (pow a 3) (pow b 2))) (* -2 a)) (pow b 2))
(/ (- (+ (* -8 (/ (pow a 5) (pow b 4))) (* -2 a)) (* 4 (/ (pow a 3) (pow b 2)))) (pow b 2))
(/ (- (+ (* -16 (/ (pow a 7) (pow b 6))) (* -2 a)) (+ (* 4 (/ (pow a 3) (pow b 2))) (* 8 (/ (pow a 5) (pow b 4))))) (pow b 2))
(* -1/2 (pow b 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(+ (* -1/2 (pow b 2)) (pow a 2))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* -1/2 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1/2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
(/ (+ (* -1/8 (pow b 4)) (* (pow a 2) (+ (* -1/2 (pow b 2)) (pow a 2)))) (pow a 3))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
(* -1 (* a (- (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))) 1)))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/8 (/ 1 (pow a 3))) (* 1/2 (/ 1 (* a (pow b 2)))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* (pow b 4) (- (/ a (pow b 4)) (+ (* 1/8 (/ 1 (pow a 3))) (/ 1/2 (* a (pow b 2))))))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(* -1/2 (/ (pow b 2) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ -1/2 a)
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 2) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ (+ (* -1/2 (pow a 2)) (* -1/8 (pow b 2))) (pow a 3))
(/ -1/2 a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ (- (* -1/8 (/ (pow b 2) (pow a 2))) 1/2) a)
(/ -1/2 a)
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) a))
(* -1/32 (/ (pow b 6) (pow a 5)))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))))) (pow a 5))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (+ (* -2 (/ (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2))))) (pow b 2))) (* -1/2 (pow b 2))) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))
(* a (+ 1 (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4)))) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/4 (/ (pow b 4) (pow a 4))))))))))
a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (- (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))) 1)))
(* -1 (* a (- (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4)))) (pow a 6))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/16 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))))) 1)))
a
(- (* -1/2 (/ (pow b 2) a)) (* -1 a))
(- (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))) (* -1 a))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/32 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))) (* -1 a))
(* -1/32 (/ (pow b 6) (pow a 5)))
(* -1 (* (pow b 6) (+ (* 1/32 (/ 1 (pow a 5))) (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))))))
(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (* 1/32 (/ 1 (pow a 5))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (* 1/8 (/ 1 (* a (pow b 4))))))))
(* -1/32 (/ (pow b 6) (pow a 5)))
(* -1 (* (pow b 6) (+ (* 1/32 (/ 1 (pow a 5))) (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))))))
(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (* 1/32 (/ 1 (pow a 5))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (* 1/8 (/ 1 (* a (pow b 4))))))))
(* -1/32 (/ (pow b 6) (pow a 5)))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))))) (pow a 5))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (+ (* -2 (/ (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2))))) (pow b 2))) (* -1/2 (pow b 2))) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
(* -1/4 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/4 (pow b 4)) (* -1/64 (/ (pow b 8) (pow a 4)))) (pow a 3))
(/ (+ (* -1/4 (pow b 4)) (+ (* -1/64 (/ (pow b 8) (pow a 4))) (* 1/128 (/ (pow b 10) (pow a 6))))) (pow a 3))
(/ (- (+ (* -1/4 (pow b 4)) (+ (* -1/64 (/ (pow b 8) (pow a 4))) (* -1/256 (/ (pow b 12) (pow a 8))))) (* -1/128 (/ (pow b 10) (pow a 6)))) (pow a 3))
(* -1/4 (/ (pow b 4) (pow a 3)))
(* -1 (/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4))) (pow a 3)))
(* -1 (/ (+ (* -1/128 (/ (pow b 10) (pow a 6))) (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4)))) (pow a 3)))
(* -1 (/ (- (+ (* 1/256 (/ (pow b 12) (pow a 8))) (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4)))) (* 1/128 (/ (pow b 10) (pow a 6)))) (pow a 3)))
(* -1/4 (/ (pow b 4) (pow a 3)))
(* (pow b 4) (- (* -1/64 (/ (pow b 4) (pow a 7))) (* 1/4 (/ 1 (pow a 3)))))
(* (pow b 4) (- (* (pow b 4) (- (* 1/128 (/ (pow b 2) (pow a 9))) (* 1/64 (/ 1 (pow a 7))))) (* 1/4 (/ 1 (pow a 3)))))
(* (pow b 4) (- (* (pow b 4) (- (* (pow b 2) (+ (* -1/256 (/ (pow b 2) (pow a 11))) (* 1/128 (/ 1 (pow a 9))))) (* 1/64 (/ 1 (pow a 7))))) (* 1/4 (/ 1 (pow a 3)))))
(* -1/32 (/ (pow b 6) (pow a 5)))
(* -1 (* (pow b 6) (+ (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))) (* 1/32 (/ 1 (pow a 5))))))
(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (+ (* 1/8 (/ 1 (* a (pow b 4)))) (* 1/32 (/ 1 (pow a 5)))))))
(* -1/32 (/ (pow b 6) (pow a 5)))
(* -1 (* (pow b 6) (+ (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))) (* 1/32 (/ 1 (pow a 5))))))
(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (+ (* 1/8 (/ 1 (* a (pow b 4)))) (* 1/32 (/ 1 (pow a 5)))))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(/ (+ (* 1/64 (pow b 8)) (* 1/8 (* (pow a 2) (pow b 6)))) (pow a 6))
(/ (+ (* 1/64 (pow b 8)) (* (pow a 2) (+ (* 1/8 (pow b 6)) (* 1/4 (* (pow a 2) (pow b 4)))))) (pow a 6))
(/ (+ (* 1/64 (pow b 8)) (* (pow a 2) (+ (* 1/8 (pow b 6)) (* 1/4 (* (pow a 2) (pow b 4)))))) (pow a 6))
(* 1/4 (/ (pow b 4) (pow a 2)))
(/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(* 1/4 (/ (pow b 4) (pow a 2)))
(/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/4 (pow b 4)))) (pow a 2))
(* 1/4 (/ (pow b 4) (pow a 2)))
(* (pow b 4) (+ (* 1/8 (/ (pow b 2) (pow a 4))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 4) (+ (* (pow b 2) (+ (* 1/64 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2)))))
(* (pow b 4) (+ (* (pow b 2) (+ (* 1/64 (/ (pow b 2) (pow a 6))) (* 1/8 (/ 1 (pow a 4))))) (* 1/4 (/ 1 (pow a 2)))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(* (pow b 8) (+ (* 1/8 (/ 1 (* (pow a 4) (pow b 2)))) (* 1/64 (/ 1 (pow a 6)))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* 1/64 (/ (pow b 8) (pow a 6)))
(* (pow b 8) (+ (* 1/8 (/ 1 (* (pow a 4) (pow b 2)))) (* 1/64 (/ 1 (pow a 6)))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* (pow b 8) (+ (/ 1/8 (* (pow a 4) (pow b 2))) (+ (/ 1/4 (* (pow a 2) (pow b 4))) (* 1/64 (/ 1 (pow a 6))))))
(* -1/2 (/ (pow b 4) a))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 4) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 6) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 6) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 4))) (* -1/8 (pow b 6))) (pow a 3))
(* -1/2 (/ (pow b 4) a))
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 4)) (* -1/8 (/ (pow b 6) (pow a 2)))) a)
(* -1/2 (/ (pow b 4) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 6) (pow a 2))) (* 1/2 (pow b 4))) a))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* 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)))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* 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)))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -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))))))))
a
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ 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)))))
(* b (sqrt -1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -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)))))))
(* 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))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -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))))))))
(* -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)))))))))
(/ (sqrt -1) b)
(+ (* -1/2 (/ (pow a 2) (* (pow b 3) (sqrt -1)))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))))) (sqrt -1))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/2 (/ (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6)))) (sqrt -1))) (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))) (* (pow b 2) (pow (sqrt -1) 2)))) (/ 1 (pow b 8))))) (sqrt -1))))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(/ 1 a)
(/ (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* -1 (pow b 6)) (* -1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4)))))) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1 a)
(* -1 (/ (+ 1 (* 1/2 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* -1 (pow b 6)) (* -1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4)))))) (pow a 6))) (* 1/2 (/ (pow b 2) (pow a 2)))))) a))
(/ 1 a)
(+ (* 1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (+ (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (* 5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(/ (sqrt -1) b)
(/ (+ (sqrt -1) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow a 2) (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4))) (pow (sqrt -1) 2))) (pow a 6)) (* (pow b 6) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))) b)
(* -1 (/ (sqrt -1) b))
(* -1 (/ (+ (sqrt -1) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))) b))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))) b))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4)) (* (pow b 4) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow a 2) (+ (* 1/4 (/ (pow a 4) (pow (sqrt -1) 2))) (pow a 4))) (pow (sqrt -1) 2))) (pow a 6)) (* (pow b 6) (sqrt -1)))) (* -1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))) b))
(/ -1 (pow b 2))
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 6) (pow a 6))) (+ (* -1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 6) (pow a 6))) (+ (* -1 (/ (pow b 2) (pow a 2))) (* -1 (/ (pow b 4) (pow a 4))))) (pow a 2))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ -1 (pow b 2))
(/ (- (* -1 (/ (pow a 2) (pow b 2))) 1) (pow b 2))
(/ (- (* -1 (/ (pow a 4) (pow b 4))) (+ 1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (* -1 (/ (pow a 6) (pow b 6))) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 4) (pow b 4))))) (pow b 2))
(/ -1 (pow b 2))
(/ (- (* -1 (/ (pow a 2) (pow b 2))) 1) (pow b 2))
(/ (- (* -1 (/ (pow a 4) (pow b 4))) (+ 1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (* -1 (/ (pow a 6) (pow b 6))) (+ 1 (+ (/ (pow a 2) (pow b 2)) (/ (pow a 4) (pow b 4))))) (pow b 2))
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(- (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(+ (* -1 (pow b 2)) (pow a 2))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* -1 (pow b 2))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -1/8 (/ (pow b 2) (pow a 2)))
(* -8 (/ (pow a 5) (pow b 4)))
(* (pow a 5) (- (* 32 (/ (pow a 2) (pow b 6))) (* 8 (/ 1 (pow b 4)))))
(* (pow a 5) (- (* (pow a 2) (+ (* -64 (/ (pow a 2) (pow b 8))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))
(* (pow a 5) (- (* (pow a 2) (+ (* (pow a 2) (- (* 512 (/ (pow a 4) (pow b 12))) (* 64 (/ 1 (pow b 8))))) (* 32 (/ 1 (pow b 6))))) (* 8 (/ 1 (pow b 4)))))
(* -1 a)
(* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1))
(* a (- (* -1 (/ (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* a (- (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4))))) (* 1/16 (pow b 6))) (pow a 6))) (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))) (pow a 4)))) (* 1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4))))) (* -1/16 (pow b 6))) (pow a 6)))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2))))))))
(* -1 a)
(+ (* -1 a) (* 1/2 (/ (pow b 2) a)))
(+ (* -1 a) (* (pow b 2) (+ (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ (* -1 a) (* (pow b 2) (+ (* (pow b 2) (- (* 1/64 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(* -8 (/ (pow a 5) (pow b 4)))
(/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))
(* -8 (/ (pow a 5) (pow b 4)))
(/ (+ (* -8 (pow a 5)) (* 32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -64 (pow a 9)) (* 128 (pow a 9))) (pow b 4)))) (* -32 (/ (pow a 7) (pow b 2)))) (pow b 4))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(* -1/2 (/ (pow b 2) a))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(* -1/2 (/ (pow b 2) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))
(* -1/2 (/ (pow b 2) a))

Outputs
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 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)))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 a (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b)))))) (*.f64 b (sqrt.f64 #s(literal -1 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)))
(+.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 a (+.f64 (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 a (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b)))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) a)) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal 0 binary64)) (.f64 a a))))
(* 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)))))))
(.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 a (.f64 a a)))) (+.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))) #s(literal 0 binary64)) (*.f64 a a)))))
(* -1 (* a (pow (sqrt -1) 2)))
a
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))))
(* -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))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (*.f64 b b) #s(literal -1/2 binary64)) #s(literal 0 binary64)) a) #s(literal 0 binary64)) a)) (-.f64 #s(literal 0 binary64) a))
(* -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))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 b b)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) a)) a)) (-.f64 #s(literal 0 binary64) a))
a
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+.f64 a (/.f64 #s(literal 0 binary64) a))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+.f64 a (.f64 b (+.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 a a))))) a))))
(+ 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))))))))
(+.f64 a (+.f64 (/.f64 #s(literal 0 binary64) a) (.f64 b (.f64 b (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 a a)))) a) (.f64 #s(literal 1/4 binary64) (.f64 b (.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 a a))) (*.f64 a a))))))))))
(* b (sqrt -1))
(*.f64 b (sqrt.f64 #s(literal -1 binary64)))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 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)))))))
(.f64 b (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))))
(* 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))))))))
(.f64 b (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))
(* -1 (* b (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 b (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 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)))))
(.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64)))) b)) b)))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(+ (* 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)))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)) (.f64 a (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 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)))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b)) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.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))))))))))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 b (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -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))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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)))))))
(.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))))))
(sqrt a)
(sqrt.f64 a)
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+.f64 (sqrt.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+.f64 (sqrt.f64 a) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 #s(literal -1/8 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+.f64 (sqrt.f64 a) (.f64 b (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (.f64 #s(literal -1/16 binary64) (.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 b))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(.f64 b (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))))
(* 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)))))
(.f64 b (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a a) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 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))))))
(.f64 b (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a a) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt b) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 b)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
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a
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a
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a
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a
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(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (+ (* -2 (/ (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2))))) (pow b 2))) (* -1/2 (pow b 2))) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
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a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
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(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* 1/4 (/ (pow b 4) (pow a 4))))))))
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(* a (+ 1 (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/8 (pow b 4)) (* 1/4 (pow b 4)))) (pow a 6))) (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/16 (/ (pow b 6) (pow a 6))) (* 1/4 (/ (pow b 4) (pow a 4))))))))))
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a
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
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(* -1 (* a (- (+ (* -1/2 (/ (* (pow b 2) (+ (* -1/4 (pow b 4)) (* 1/8 (pow b 4)))) (pow a 6))) (+ (* -1/4 (/ (pow b 4) (pow a 4))) (+ (* -1/16 (/ (pow b 6) (pow a 6))) (+ (* 1/8 (/ (pow b 4) (pow a 4))) (+ (* 1/4 (/ (pow b 4) (pow a 4))) (* 1/2 (/ (pow b 2) (pow a 2)))))))) 1)))
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a
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(- (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))) (* -1 a))
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(- (* (pow b 2) (- (* (pow b 2) (- (* -1/32 (/ (pow b 4) (pow a 7))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))) (* -1 a))
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(* -1/32 (/ (pow b 6) (pow a 5)))
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(* -1 (* (pow b 6) (+ (* 1/32 (/ 1 (pow a 5))) (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))))))
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(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
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(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (* 1/32 (/ 1 (pow a 5))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (* 1/8 (/ 1 (* a (pow b 4))))))))
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(* -1/32 (/ (pow b 6) (pow a 5)))
(/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 5 binary64)))
(* -1 (* (pow b 6) (+ (* 1/32 (/ 1 (pow a 5))) (* 3/16 (/ 1 (* (pow a 3) (pow b 2)))))))
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(* (pow b 6) (- (* -1 (/ (+ (* 3/16 (/ 1 (pow a 3))) (* 1/8 (/ 1 (* a (pow b 2))))) (pow b 2))) (* 1/32 (/ 1 (pow a 5)))))
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(* (pow b 6) (- (* 1/4 (/ a (pow b 6))) (+ (* 1/32 (/ 1 (pow a 5))) (+ (/ 3/16 (* (pow a 3) (pow b 2))) (* 1/8 (/ 1 (* a (pow b 4))))))))
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(* -1/32 (/ (pow b 6) (pow a 5)))
(/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/32 binary64)) (pow.f64 a #s(literal 5 binary64)))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))))) (pow a 5))
(/.f64 (+.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/32 binary64)) (.f64 (.f64 a a) (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/16 binary64)))) (pow.f64 a #s(literal 5 binary64)))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
(/.f64 (+.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal -1/32 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/16 binary64)) (.f64 b b))))) (.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 4 binary64))))))) (pow.f64 a #s(literal 5 binary64)))
(/ (+ (* -1/32 (pow b 6)) (* (pow a 2) (- (+ (* -1/4 (pow b 4)) (* (pow a 2) (- (+ (* -2 (/ (* (pow a 2) (- (* -1/2 (pow b 2)) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2))))) (pow b 2))) (* -1/2 (pow b 2))) (* 2 (/ (- (* -1/4 (pow b 4)) (* -1/16 (pow b 4))) (pow b 2)))))) (* -1/16 (pow b 4))))) (pow a 5))
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(* -1/4 (/ (pow b 4) (pow a 3)))
(/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (*.f64 a a)))
(/ (+ (* -1/4 (pow b 4)) (* -1/64 (/ (pow b 8) (pow a 4)))) (pow a 3))
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 8 binary64))) (.f64 (.f64 a a) (.f64 a a)))) (.f64 a (*.f64 a a)))
(/ (+ (* -1/4 (pow b 4)) (+ (* -1/64 (/ (pow b 8) (pow a 4))) (* 1/128 (/ (pow b 10) (pow a 6))))) (pow a 3))
(/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 8 binary64))) (.f64 (.f64 a a) (.f64 a a))) (/.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 b #s(literal 10 binary64))) (pow.f64 a #s(literal 6 binary64))))) (.f64 a (.f64 a a)))
(/ (- (+ (* -1/4 (pow b 4)) (+ (* -1/64 (/ (pow b 8) (pow a 4))) (* -1/256 (/ (pow b 12) (pow a 8))))) (* -1/128 (/ (pow b 10) (pow a 6)))) (pow a 3))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 8 binary64))) (.f64 (.f64 a a) (.f64 a a))) (/.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 8 binary64))))) (/.f64 (.f64 #s(literal 1/128 binary64) (pow.f64 b #s(literal 10 binary64))) (pow.f64 a #s(literal 6 binary64)))) (.f64 a (*.f64 a a)))
(* -1/4 (/ (pow b 4) (pow a 3)))
(/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (*.f64 a a)))
(* -1 (/ (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4))) (pow a 3)))
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(* -1 (/ (- (+ (* 1/256 (/ (pow b 12) (pow a 8))) (+ (* 1/64 (/ (pow b 8) (pow a 4))) (* 1/4 (pow b 4)))) (* 1/128 (/ (pow b 10) (pow a 6)))) (pow a 3)))
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(* -1/4 (/ (pow b 4) (pow a 3)))
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(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -8 binary64)) (/.f64 (.f64 (pow.f64 a #s(literal 9 binary64)) #s(literal 64 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 32 binary64) (pow.f64 a #s(literal 7 binary64))) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
(/ (- (+ (* -8 (pow a 5)) (* -1 (/ (+ (* -4 (* (pow a 2) (+ (* -64 (pow a 9)) (* 128 (pow a 9))))) (* 256 (pow a 11))) (pow b 6)))) (+ (* -64 (/ (pow a 9) (pow b 4))) (+ (* -32 (/ (pow a 7) (pow b 2))) (* 128 (/ (pow a 9) (pow b 4)))))) (pow b 4))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal -8 binary64)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 a a)) (.f64 (pow.f64 a #s(literal 9 binary64)) #s(literal 64 binary64))) (.f64 (pow.f64 a #s(literal 11 binary64)) #s(literal 256 binary64))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 9 binary64)) #s(literal -64 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal -32 binary64) (pow.f64 a #s(literal 7 binary64))) (.f64 b b)) (/.f64 (.f64 (pow.f64 a #s(literal 9 binary64)) #s(literal 128 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (pow.f64 b #s(literal 4 binary64)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/8 (/ (pow b 2) (pow a 3)))
(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
(* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a))))
(.f64 (.f64 b b) (+.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (*.f64 a a)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (*.f64 a a)))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1 (* (pow b 4) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/8 (/ 1 (pow a 3))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 b b))))))
(* -1/8 (/ (pow b 4) (pow a 3)))
(/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 b b)) (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 b b)) (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a (*.f64 a a)))
(/ (+ (* -1/2 (* (pow a 2) (pow b 2))) (* -1/8 (pow b 4))) (pow a 3))
(/.f64 (+.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 b b)) (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64)))) (.f64 a (*.f64 a a)))
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/.f64 (+.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a a))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/.f64 (+.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a a))) a)
(/ (+ (* -1/2 (pow b 2)) (* -1/8 (/ (pow b 4) (pow a 2)))) a)
(/.f64 (+.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a a))) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) (.f64 #s(literal 1/2 binary64) (.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) (.f64 #s(literal 1/2 binary64) (.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* 1/8 (/ (pow b 4) (pow a 2))) (* 1/2 (pow b 2))) a))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) (.f64 #s(literal 1/2 binary64) (.f64 b b))) (-.f64 #s(literal 0 binary64) a))
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)
(* -1/2 (/ (pow b 2) a))
(/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a)

eval335.0ms (3.2%)

Compiler: Compiled 85148 to 4475 computations (94.7% saved)

prune227.0ms (2.1%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1739	4	1743
Fresh	0	4	4
Picked	1	4	5
Done	0	6	6
Total	1740	18	1758

Accuracy

100.0%

Counts

1758 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
	20.0%	(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))) a)
	52.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))
✓	51.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
	19.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))))
✓	46.7%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
	79.6%	(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
✓	82.4%	(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
	45.0%	(+.f64 (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))) (.f64 a a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))))
✓	86.7%	(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
	67.5%	(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
✓	99.0%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
	77.7%	(.f64 (sqrt.f64 (.f64 b (+.f64 (/.f64 a b) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 a b)))
	54.7%	(.f64 (sqrt.f64 b) (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) (+.f64 a b)) #s(literal 1/2 binary64)))
✓	86.4%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	52.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	98.2%	a

Compiler

Compiled 1116 to 340 computations (69.5% saved)

regimes50.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

Inputs
a
(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))))
(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
(+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(+.f64 (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))) (.f64 a a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a b)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 b (+.f64 (/.f64 a b) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 a b)))
(.f64 (sqrt.f64 b) (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 a b)) (+.f64 a b)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 a b))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 a b) #s(literal 1/2 binary64)))

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

Calls

6 calls:

13.0ms	b
7.0ms	a
7.0ms	(-.f64 (.f64 a a) (.f64 b b))
7.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
6.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.2%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.2%	1	`(*.f64 a a)`
99.2%	1	`(*.f64 b b)`

Compiler

Compiled 35 to 21 computations (40% saved)

regimes40.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

Inputs
a
(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))))
(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
(+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(+.f64 (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))) (.f64 a a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))

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

Calls

6 calls:

7.0ms	(*.f64 b b)
7.0ms	b
6.0ms	(*.f64 a a)
6.0ms	a
5.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`b`
99.2%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.2%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.2%	1	`(*.f64 a a)`
99.2%	1	`(*.f64 b b)`

Compiler

Compiled 35 to 21 computations (40% saved)

regimes35.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
a
(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
(/.f64 (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64)))) a)
(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 a a) (.f64 b (*.f64 b #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))))
(+.f64 a (.f64 (.f64 b b) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (*.f64 a a))) a)))
(+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))))
(+.f64 (+.f64 a (.f64 (.f64 b b) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(+.f64 a (.f64 (.f64 b b) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) a)))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (*.f64 a a))))) a))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/2 binary64)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(+.f64 (+.f64 a (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a)))) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))) (.f64 a a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 b (.f64 b #s(literal -1/8 binary64))) (.f64 a (*.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))) a))))
(-.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))))) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 b b) (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (.f64 a (.f64 a a))))) a)))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a a) (.f64 b b)))))

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

Calls

6 calls:

7.0ms	(*.f64 a a)
6.0ms	b
5.0ms	a
5.0ms	(-.f64 (.f64 a a) (.f64 b b))
5.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

Accuracy	Segments	Branch
99.0%	1	`a`
99.0%	1	`b`
99.0%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.0%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.0%	1	`(*.f64 a a)`
99.0%	1	`(*.f64 b b)`

Compiler

Compiled 35 to 21 computations (40% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
a

Outputs
a

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.2%	1	`a`
98.2%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	23	29
2	28	29
3	30	29
4	31	29

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (11%)

Rules

3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
3338×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
1	183	126
2	1986	124
0	8588	124
0	40	297
1	292	241
2	3296	237
0	8500	237
0	6	15
1	39	15
2	278	15
3	3449	15
0	8005	15
0	119	776
1	356	649
2	1295	607
3	5518	604
0	8050	604

Stop Event

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

Compiler

Compiled 106 to 63 computations (40.6% saved)

preprocess42.0ms (0.4%)

Remove: (abs b)
Compiler: Compiled 256 to 156 computations (39.1% saved)

analyze38.0ms (0.4%)

sample820.0ms (7.7%)

preprocess222.0ms (2.1%)

explain68.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify135.0ms (1.3%)

localize26.0ms (0.2%)

series5.0ms (0%)

rewrite270.0ms (2.5%)

simplify2.1s (19.9%)

eval35.0ms (0.3%)

prune41.0ms (0.4%)

simplify195.0ms (1.8%)

localize161.0ms (1.5%)

series40.0ms (0.4%)

rewrite378.0ms (3.6%)

simplify312.0ms (2.9%)

eval150.0ms (1.4%)

prune142.0ms (1.3%)

simplify257.0ms (2.4%)

localize322.0ms (3%)

series48.0ms (0.5%)

rewrite421.0ms (4%)

simplify433.0ms (4.1%)

eval407.0ms (3.8%)

prune178.0ms (1.7%)

simplify265.0ms (2.5%)

localize179.0ms (1.7%)

series46.0ms (0.4%)

rewrite345.0ms (3.2%)

simplify669.0ms (6.3%)

eval335.0ms (3.2%)

prune227.0ms (2.1%)

regimes50.0ms (0.5%)

regimes40.0ms (0.4%)

regimes35.0ms (0.3%)

regimes3.0ms (0%)

simplify11.0ms (0.1%)

soundness1.2s (11%)

preprocess42.0ms (0.4%)

end0.0ms (0%)

Profiling