Metrics for bug366, discussion (missed optimization)

analyze73.0ms (1%)

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 (48.8% of total)

ival-sub: 4.0ms (24.4% of total)

ival-sqrt: 4.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

sample878.0ms (11.9%)

Results

570.0ms	8256×	0	valid
54.0ms	605×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 158.0ms (50.1% of total)

ival-sqrt: 96.0ms (30.5% of total)

ival-sub: 49.0ms (15.5% of total)

const: 9.0ms (2.9% of total)

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

Bogosity

preprocess225.0ms (3.1%)

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)

explain86.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
138	-	3	(3.146990440408307e-158 9.826713749948498e-181)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
10	-	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

62.0ms

512×

valid

Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 23.0ms (73.2% of total)

ival-sqrt: 5.0ms (15.9% of total)

ival-sub: 3.0ms (9.5% of total)

const: 1.0ms (3.2% 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
▶	50.4%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify149.0ms (2%)

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

localize1.9s (25.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	96.9%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	50.8%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

1.9s

256×

valid

Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub: 1.9s (99.7% of total)

ival-mult: 4.0ms (0.2% of total)

ival-sqrt: 2.0ms (0.1% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

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	@	0	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	inf	(sqrt (- (* a a) (* b b)))
1.0ms	a	@	inf	(sqrt (- (* a a) (* b b)))
0.0ms	a	@	inf	(- (* a a) (* b b))

rewrite1.1s (15.1%)

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)))))))))
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(/.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)))

simplify239.0ms (3.2%)

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 (0.5%)

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

prune37.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	307	4	311
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	5	312

Accuracy

100.0%

Counts

312 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(+.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))))
▶	99.9%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
▶	89.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	50.4%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	99.6%	a

Compiler

Compiled 62 to 38 computations (38.7% saved)

simplify278.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 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	0	(+.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	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	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 #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))))

Rules

4450×	`-lowering-.f32`
4450×	`-lowering-.f64`
2268×	`associate-/l*`
1896×	`fma-define`
1370×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 17 (0.0ms)

Iter	Nodes	Cost
0	21	138
1	71	131
2	203	127
3	709	122
4	1844	119
5	2378	119
6	2810	119
7	3058	119
8	3172	119
9	3332	119
10	3355	119
11	3366	119
12	3366	119
13	3612	119
14	4099	119
15	4169	119
16	4286	119
17	6035	118
18	6389	118
19	7202	118
0	8140	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize131.0ms (1.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a))) (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	89.2%	(.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	76.7%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.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	99.6%	(*.f64 b (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 b b))
✓	accuracy	78.3%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (*.f64 a a))

Results

87.0ms

256×

valid

Compiler

Compiled 168 to 22 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 16.0ms (54.3% of total)

ival-div: 7.0ms (23.7% of total)

ival-add: 6.0ms (20.3% of total)

const: 1.0ms (3.4% of total)

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

series44.0ms (0.6%)

Counts

15 → 300

Calls

Call 1

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

Outputs
#<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 (* -1/2 (/ (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 (* (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 (* -1/8 (/ (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 (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 (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)>

Calls

75 calls:

Time	Variable		Point	Expression
22.0ms	b	@	inf	(/ (* -1/8 (* b b)) (* a (* a a)))
2.0ms	a	@	inf	(+ a (* b (* b (/ -1/2 a))))
1.0ms	a	@	0	(* a (+ 1 (/ (* -1/2 (* b b)) (* a a))))
1.0ms	b	@	inf	(* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))
1.0ms	b	@	0	(* (* b b) (+ (/ (* -1/8 (* b b)) (* a (* a a))) (/ -1/2 a)))

rewrite342.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4280×	`/-lowering-/.f32`
4280×	`/-lowering-/.f64`
3392×	`-lowering-.f32`
3392×	`-lowering-.f64`
1516×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
1	145	108
2	1684	100
0	8278	100

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 696

Calls

Call 1

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

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

simplify227.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3436×	`-lowering-.f32`
3436×	`-lowering-.f64`
1786×	`/-lowering-/.f32`
1786×	`/-lowering-/.f64`
1178×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	2618
1	288	2217
2	872	2111
3	3239	2103
4	7080	2103
0	8127	2103

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* -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))
(* -1/2 (/ (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))
(* (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))
(* -1/8 (/ (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))))))
(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))
(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)

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

eval193.0ms (2.6%)

Compiler: Compiled 27533 to 2458 computations (91.1% saved)

prune102.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1083	1	1084
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1084	5	1089

Accuracy

100.0%

Counts

1089 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(+.f64 a (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b)) a))
✓	99.9%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
✓	89.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	50.4%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	99.6%	a

Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a))
✓	cost-diff	(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b))
✓	cost-diff	(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b)) a)
✓	cost-diff	(+.f64 a (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b)) a))

Rules

606×	`-lowering-.f32`
606×	`-lowering-.f64`
600×	`fma-define`
468×	`fma-lowering-fma.f32`
468×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	27	73
2	66	69
3	173	64
4	472	64
5	832	64
6	1021	64
7	1099	64
8	1108	64
0	1108	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize102.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b))
✓	accuracy	94.2%	(/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)
✓	accuracy	89.3%	(/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a)
✓	accuracy	89.3%	(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b)) a)

Results

65.0ms

256×

valid

Compiler

Compiled 93 to 13 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (35.8% of total)

ival-mult: 5.0ms (35.8% of total)

ival-add: 3.0ms (21.5% of total)

const: 1.0ms (7.2% of total)

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

series8.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(+ a (/ (* (+ -1/2 (/ (/ (* (* b b) -1/8) a) a)) (* b b)) a))
0.0ms	b	@	inf	(* (+ -1/2 (/ (/ (* (* b b) -1/8) a) a)) (* b b))
0.0ms	a	@	0	(+ a (/ (* (+ -1/2 (/ (/ (* (* b b) -1/8) a) a)) (* b b)) a))
0.0ms	b	@	inf	(/ (/ (* (* b b) -1/8) a) a)
0.0ms	b	@	inf	(/ (* (* b b) -1/8) a)

rewrite396.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5726×	`-lowering-.f32`
5726×	`-lowering-.f64`
3348×	`/-lowering-/.f32`
3348×	`/-lowering-/.f64`
1134×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	72	63
2	680	59
0	8495	59

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 406

Calls

Call 1

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

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

simplify203.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3384×	`-lowering-.f32`
3384×	`-lowering-.f64`
1234×	`/-lowering-/.f32`
1234×	`/-lowering-/.f64`
996×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	1659
1	275	1418
2	875	1337
3	3158	1303
4	6161	1294
0	8289	1294

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval106.0ms (1.4%)

Compiler: Compiled 17245 to 1812 computations (89.5% saved)

prune79.0ms (1.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	550	0	550
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	550	5	555

Accuracy

100.0%

Counts

555 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(+.f64 a (/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) a) a)) (.f64 b b)) a))
✓	99.9%	(+.f64 a (.f64 b (.f64 b (/.f64 #s(literal -1/2 binary64) a))))
✓	89.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b b)) (.f64 a a))))
✓	50.4%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	99.6%	a

Compiler

Compiled 133 to 67 computations (49.6% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.9%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.9%	1	`(*.f64 a a)`
99.9%	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
99.6%	1	`a`
99.6%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness294.0ms (4%)

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 26 to 16 computations (38.5% saved)

preprocess52.0ms (0.7%)

Remove: (abs b)
Compiler: Compiled 140 to 86 computations (38.6% saved)

bug366, discussion (missed optimization)

analyze73.0ms (1%)

sample878.0ms (11.9%)

preprocess225.0ms (3.1%)

explain86.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify149.0ms (2%)

localize1.9s (25.7%)

series5.0ms (0.1%)

rewrite1.1s (15.1%)

simplify239.0ms (3.2%)

eval35.0ms (0.5%)

prune37.0ms (0.5%)

simplify278.0ms (3.8%)

localize131.0ms (1.8%)

series44.0ms (0.6%)

rewrite342.0ms (4.6%)

simplify227.0ms (3.1%)

eval193.0ms (2.6%)

prune102.0ms (1.4%)

simplify52.0ms (0.7%)

localize102.0ms (1.4%)

series8.0ms (0.1%)

rewrite396.0ms (5.4%)

simplify203.0ms (2.7%)

eval106.0ms (1.4%)

prune79.0ms (1.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness294.0ms (4%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling