Metrics for bug366, discussion (missed optimization)

analyze45.0ms (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: 9.0ms (55.7% of total)

ival-sqrt: 4.0ms (24.8% of total)

ival-sub: 3.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

sample1.1s (23%)

Results

554.0ms	8256×	0	valid
97.0ms	626×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-mult: 220.0ms (57.3% of total)

ival-sqrt: 106.0ms (27.6% of total)

ival-sub: 47.0ms (12.2% of total)

const: 8.0ms (2.1% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess46.0ms (1%)

Algorithm

2×	egg-herbie

Rules

260×	`fnmadd-define`
206×	`sum3-define`
190×	`fma-define`
176×	`fnmadd-define`
160×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	59	38
2	126	38
3	250	38
4	497	38
5	621	38
6	696	38
7	699	38
0	6	6
1	15	6
2	24	6
3	37	6
4	59	6
5	120	6
6	205	6
7	364	6
8	567	6
9	771	6
10	897	6
11	911	6
0	911	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

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 (fmsub b b (square a)))

Symmetry

(abs a)

(abs b)

explain81.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
128	-	1	(1.534436871392373e-158 3.367856209708775e-264)	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
21	-	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

56.0ms

512×

valid

Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 19.0ms (72.6% of total)

ival-sqrt: 4.0ms (15.3% of total)

ival-sub: 2.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify19.0ms (0.4%)

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

260×	`fnmadd-define`
206×	`sum3-define`
190×	`fma-define`
156×	`fma-lowering-fma.f32`
156×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	15	17
2	24	17
3	37	17
4	59	17
5	120	17
6	205	17
7	364	17
8	567	17
9	771	17
10	897	17
11	911	17
0	911	17

Stop Event

1×	iter limit
1×	saturated

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

localize34.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	93.5%	(-.f64 (.f64 a a) (.f64 b b))
✓	accuracy	53.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Results

26.0ms

256×

valid

Compiler

Compiled 26 to 7 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.8% of total)

ival-sqrt: 2.0ms (25.9% of total)

ival-sub: 1.0ms (13% 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	@	inf	(sqrt (- (* a a) (* b b)))
1.0ms	b	@	0	(sqrt (- (* a a) (* b b)))
1.0ms	a	@	inf	(sqrt (- (* a a) (* b b)))
0.0ms	a	@	0	(- (* a a) (* b b))

rewrite161.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`sum4-define`
1288×	`+-lowering-+.f64`
1288×	`+-lowering-+.f32`
1126×	`-lowering-.f32`
1126×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	23	15
2	52	15
3	212	15
4	1214	15
5	2999	15
6	6455	15
0	8167	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 248

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

simplify207.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3902×	`-lowering-.f32`
3902×	`-lowering-.f64`
1962×	`fnmadd-define`
1424×	`/-lowering-/.f32`
1424×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	776
1	356	649
2	1292	607
3	5483	604
0	8085	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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))))
(+ (* 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 a a) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 b (*.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))))
(+ (* 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 a a) #s(literal 1/16 binary64)) (.f64 (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 (*.f64 b b) a)) a)))
(* 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 (.f64 b b) 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 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a (.f64 a a)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) 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 (*.f64 b b) 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 (.f64 b b) 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 (-.f64 #s(literal -1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a)) a) (/.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 #s(literal -1/2 binary64) (/.f64 (.f64 b b) 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))))
(* -1 (* b (sqrt -1)))
(*.f64 b (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 a (*.f64 a (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) b)) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) 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 b (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 (.f64 a (.f64 a (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) b))) 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 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -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 (*.f64 a a) b) b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(.f64 (.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a a) b) b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(.f64 (.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a a) 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 (*.f64 a a) b) b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(.f64 (.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a a) b) b)))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(.f64 (.f64 b b) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a a) 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)

eval60.0ms (1.3%)

Compiler: Compiled 4776 to 880 computations (81.6% saved)

prune38.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	316	4	320
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	316	5	321

Accuracy

99.8%

Counts

321 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.9%	(+.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))))
▶	91.3%	(+.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a)))
▶	91.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a)) a)))
✓	53.1%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	99.2%	a

Compiler

Compiled 62 to 38 computations (38.7% saved)

simplify294.0ms (6.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

5428×	`-lowering-.f32`
5428×	`-lowering-.f64`
2906×	`fma-define`
2172×	`associate-/l*`
1854×	`/-lowering-/.f32`

Iterations

Useful iterations: 19 (0.0ms)

Iter	Nodes	Cost
0	20	144
1	64	133
2	193	129
3	709	124
4	1782	121
5	2242	121
6	2680	121
7	3089	121
8	3208	121
9	3275	121
10	3723	120
11	4793	120
12	5150	120
13	5278	120
14	5567	120
15	5577	120
16	5590	120
17	5592	120
18	5608	120
19	5608	119
20	6449	119
21	7376	119
22	7450	119
23	7770	119
0	8206	119

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

localize114.0ms (2.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.4%	(.f64 #s(literal -1/8 binary64) (.f64 b b))
✓	accuracy	87.1%	(.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	74.3%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 b b)) (.f64 a (.f64 a a)))
✓	accuracy	100.0%	(+.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a))
✓	accuracy	87.1%	(/.f64 (*.f64 b b) a)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a)) a)))
✓	accuracy	94.1%	(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b b) a)) a)
✓	accuracy	87.1%	(/.f64 (*.f64 b b) a)

Results

79.0ms

256×

valid

Compiler

Compiled 172 to 21 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 13.0ms (50.9% of total)

ival-div: 7.0ms (27.4% of total)

ival-add: 5.0ms (19.6% of total)

const: 1.0ms (3.9% of total)

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

series21.0ms (0.4%)

Counts

13 → 276

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

69 calls:

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

rewrite387.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4074×	`-lowering-.f32`
4074×	`-lowering-.f64`
2532×	`/-lowering-/.f32`
2532×	`/-lowering-/.f64`
1430×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	97	102
2	622	94
3	6462	94
0	8173	94

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1102

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

simplify276.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

3422×	`-lowering-.f32`
3422×	`-lowering-.f64`
1710×	`/-lowering-/.f32`
1710×	`/-lowering-/.f64`
1166×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	2546
1	283	2139
2	857	2043
3	3205	2031
4	6950	2031
0	8041	2031

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

eval211.0ms (4.5%)

Compiler: Compiled 38135 to 4771 computations (87.5% saved)

prune173.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1630	2	1632
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1632	5	1637

Accuracy

100.0%

Counts

1637 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 a b)))
▶	91.4%	(+.f64 a (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal -1/8 binary64)))))
✓	91.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a)) a)))
✓	53.1%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	99.2%	a

Compiler

Compiled 60 to 36 computations (40% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

690×	`-lowering-.f32`
690×	`-lowering-.f64`
638×	`fma-define`
516×	`associate-r`
468×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	40	79
2	135	74
3	387	74
4	869	74
5	1225	74
6	1355	74
7	1372	74
8	1420	74
9	1543	74
10	1587	74
11	1600	74
12	1611	74
13	1614	74
14	1614	74
0	1614	74

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 a b)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) b)
✓	accuracy	99.8%	(/.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 a b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal -1/8 binary64))))
✓	accuracy	94.1%	(/.f64 (/.f64 (*.f64 b b) a) a)
✓	accuracy	87.1%	(/.f64 (*.f64 b b) a)

Results

54.0ms

256×

valid

Compiler

Compiled 103 to 16 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 8.0ms (40.8% of total)

ival-mult: 7.0ms (35.7% of total)

ival-add: 4.0ms (20.4% of total)

const: 1.0ms (5.1% of total)

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

series11.0ms (0.2%)

Counts

9 → 192

Calls

Call 1

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+ a (* (/ (* b b) a) (+ -1/2 (* (/ (/ (* b b) a) a) -1/8))))
0.0ms	a	@	inf	(/ a b)
0.0ms	a	@	0	(+ a (* (/ (* b b) a) (+ -1/2 (* (/ (/ (* b b) a) a) -1/8))))
0.0ms	b	@	inf	(+ a (* (/ (* b b) a) (+ -1/2 (* (/ (/ (* b b) a) a) -1/8))))
0.0ms	a	@	-inf	(/ a b)

rewrite245.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2880×	`-lowering-.f32`
2880×	`-lowering-.f64`
2492×	`/-lowering-/.f32`
2492×	`/-lowering-/.f64`
1630×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	67	57
2	453	54
3	5684	54
0	8446	54

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 775

Calls

Call 1

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

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

simplify173.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2860×	`-lowering-.f32`
2860×	`-lowering-.f64`
1762×	`fnmsub-define`
1294×	`/-lowering-/.f32`
1294×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1584
1	228	1358
2	662	1302
3	2350	1263
4	5910	1263
0	8137	1263

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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))
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(/ (pow b 2) a)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1/2 (/ (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)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(* -1/2 b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (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 b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))

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

eval140.0ms (3%)

Compiler: Compiled 22913 to 2993 computations (86.9% saved)

prune119.0ms (2.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	1082	0	1082
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	1082	5	1087

Accuracy

100.0%

Counts

1087 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(+.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) b) (/.f64 a b)))
✓	91.4%	(+.f64 a (.f64 (/.f64 (.f64 b b) a) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal -1/8 binary64)))))
✓	91.3%	(.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) a)) a)))
✓	53.1%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	99.2%	a

Compiler

Compiled 142 to 67 computations (52.8% saved)

regimes18.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

Calls

6 calls:

4.0ms	b
3.0ms	a
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 35 to 21 computations (40% saved)

regimes4.0ms (0.1%)

Accuracy

Total -5.2b remaining (-1015.8%)

Threshold costs -5.2b (-1015.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
a

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness480.0ms (10.3%)

Rules

4074×	`-lowering-.f32`
4074×	`-lowering-.f64`
3902×	`-lowering-.f32`
3902×	`-lowering-.f64`
2532×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	97	102
2	622	94
3	6462	94
0	8173	94
0	119	776
1	356	649
2	1292	607
3	5483	604
0	8085	604

Stop Event

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

Compiler

Compiled 37 to 23 computations (37.8% saved)

preprocess62.0ms (1.3%)

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

bug366, discussion (missed optimization)

analyze45.0ms (1%)

sample1.1s (23%)

preprocess46.0ms (1%)

explain81.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.4%)

localize34.0ms (0.7%)

series5.0ms (0.1%)

rewrite161.0ms (3.4%)

simplify207.0ms (4.4%)

eval60.0ms (1.3%)

prune38.0ms (0.8%)

simplify294.0ms (6.3%)

localize114.0ms (2.4%)

series21.0ms (0.4%)

rewrite387.0ms (8.3%)

simplify276.0ms (5.9%)

eval211.0ms (4.5%)

prune173.0ms (3.7%)

simplify74.0ms (1.6%)

localize92.0ms (2%)

series11.0ms (0.2%)

rewrite245.0ms (5.3%)

simplify173.0ms (3.7%)

eval140.0ms (3%)

prune119.0ms (2.5%)

regimes18.0ms (0.4%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness480.0ms (10.3%)

preprocess62.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	38
1	59	38
2	126	38
3	250	38
4	497	38
5	621	38
6	696	38
7	699	38
0	6	6
1	15	6
2	24	6
3	37	6
4	59	6
5	120	6
6	205	6
7	364	6
8	567	6
9	771	6
10	897	6
11	911	6
0	911	6

Iter	Nodes	Cost
0	6	17
1	15	17
2	24	17
3	37	17
4	59	17
5	120	17
6	205	17
7	364	17
8	567	17
9	771	17
10	897	17
11	911	17
0	911	17

Iter	Nodes	Cost
0	18	38
1	59	38
2	126	38
3	250	38
4	497	38
5	621	38
6	696	38
7	699	38
0	6	6
1	15	6
2	24	6
3	37	6
4	59	6
5	120	6
6	205	6
7	364	6
8	567	6
9	771	6
10	897	6
11	911	6
0	911	6

Iter	Nodes	Cost
0	6	17
1	15	17
2	24	17
3	37	17
4	59	17
5	120	17
6	205	17
7	364	17
8	567	17
9	771	17
10	897	17
11	911	17
0	911	17

Iter	Nodes	Cost
0	18	38
1	59	38
2	126	38
3	250	38
4	497	38
5	621	38
6	696	38
7	699	38
0	6	6
1	15	6
2	24	6
3	37	6
4	59	6
5	120	6
6	205	6
7	364	6
8	567	6
9	771	6
10	897	6
11	911	6
0	911	6

Iter	Nodes	Cost
0	6	17
1	15	17
2	24	17
3	37	17
4	59	17
5	120	17
6	205	17
7	364	17
8	567	17
9	771	17
10	897	17
11	911	17
0	911	17