Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

const: 0.0ms (0% of total)

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

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

sample613.0ms (2.7%)

Results

363.0ms	8256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-sqrt: 72.0ms (35.8% of total)

ival-mult: 66.0ms (32.8% of total)

ival-sub: 50.0ms (24.9% of total)

const: 11.0ms (5.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess1.5s (6.4%)

Algorithm

2×	egg-herbie

Rules

30426×	`accelerator-lowering-fma.f32`
30426×	`accelerator-lowering-fma.f64`
3778×	`-lowering-.f32`
3778×	`-lowering-.f64`
2412×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	28	19
2	48	19
3	90	19
4	119	19
5	170	19
6	283	19
7	498	19
8	892	19
9	1458	19
10	3820	19
11	5529	19
12	6297	19
13	6595	19
14	6651	19
15	6683	19
16	6948	19
17	7542	19
0	5	6
1	12	6
2	19	6
3	27	6
4	42	6
5	62	6
6	105	6
7	299	6
8	580	6
9	1120	6
10	2014	6
11	3727	6
12	4682	6
13	5002	6
14	5288	6
15	5457	6
16	5534	6
17	5801	6
18	6799	6
19	7855	6
0	8240	6

Stop Event

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

Calls

Call 1

Inputs
(sqrt (- 1 (* x x)))

Outputs
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Call 2

Inputs
(sqrt (- 1 (* x x)))
(sqrt (- 1 (* (neg x) (neg x))))
(neg (sqrt (- 1 (* (neg x) (neg x)))))

Outputs
(sqrt (- 1 (* x x)))
(sqrt (- 1 (* (neg x) (neg x))))
(sqrt (- 1 (* x x)))
(neg (sqrt (- 1 (* (neg x) (neg x)))))
(neg (sqrt (- 1 (* x x))))

Symmetry

(abs x)

explain113.0ms (0.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`

Results

50.0ms

512×

valid

Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 6.0ms (38.8% of total)

ival-mult: 4.0ms (25.9% of total)

ival-sqrt: 4.0ms (25.9% of total)

const: 1.0ms (6.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize1.5s (6.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

30426×	`accelerator-lowering-fma.f32`
30426×	`accelerator-lowering-fma.f64`
3778×	`-lowering-.f32`
3778×	`-lowering-.f64`
2412×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	12	16
2	19	16
3	27	16
4	42	16
5	62	16
6	105	16
7	299	16
8	580	16
9	1120	16
10	2014	16
11	3727	16
12	4682	16
13	5002	16
14	5288	16
15	5457	16
16	5534	16
17	5801	16
18	6799	16
19	7855	16
0	8240	16

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (- 1 (* x x)))
(- 1 (* x x))
1
(* x x)
x

Outputs
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x

Results

19.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-sub: 3.0ms (39.2% of total)

ival-mult: 2.0ms (26.1% of total)

ival-sqrt: 2.0ms (26.1% of total)

const: 1.0ms (13.1% of total)

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

series4.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (sqrt (- 1 (* x x)))>
#<alt (* x x)>
#<alt (- 1 (* x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt (- 1 (* x x)))
0.0ms	x	@	0	(sqrt (- 1 (* x x)))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(* x x)
0.0ms	x	@	-inf	(sqrt (- 1 (* x x)))

rewrite604.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4716×	`accelerator-lowering-fma.f32`
4716×	`accelerator-lowering-fma.f64`
4136×	`/-lowering-/.f32`
4136×	`/-lowering-/.f64`
3492×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	29	14
2	184	14
3	1337	14
0	9359	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 355

Calls

Call 1

Inputs
(sqrt (- 1 (* x x)))
(* x x)
(- 1 (* x x))

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (+.f64 (.f64 x (neg.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))

simplify407.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

8366×	`accelerator-lowering-fma.f32`
8366×	`accelerator-lowering-fma.f64`
3130×	`-lowering-.f32`
3130×	`-lowering-.f64`
1412×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	295
1	150	286
2	415	278
3	1271	264
4	3831	263
5	6202	263
0	8200	252

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))

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

eval102.0ms (0.4%)

Compiler: Compiled 18094 to 6390 computations (64.7% saved)

prune54.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	387	4	391
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	387	5	392

Accuracy

100.0%

Counts

392 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
▶	99.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
▶	99.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	99.2%	#s(literal 1 binary64)

Compiler

Compiled 51 to 36 computations (29.4% saved)

localize257.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/8 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/16 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x x))

Rules

672×	`accelerator-lowering-fma.f32`
672×	`accelerator-lowering-fma.f64`
242×	`-lowering-.f32`
242×	`-lowering-.f64`
156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	140
1	61	140
2	153	140
3	305	140
4	517	140
5	570	140
6	571	140
0	571	125

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (* x x)))
(* -1/2 (* x x))
-1/2
(* x x)
x
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))))
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16)))))))
(+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))
(* x (* x (+ -1/8 (* x (* x -1/16)))))
(* x (+ -1/8 (* x (* x -1/16))))
(+ -1/8 (* x (* x -1/16)))
-1/8
(* x (* x -1/16))
(* x -1/16)
-1/16
(+ 1 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(+ -1/2 (* (* x x) -1/8))
(* (* x x) -1/8)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(* -1/2 (* x x))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* x (* x (+ -1/8 (* x (* x -1/16)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* x (+ -1/8 (* x (* x -1/16))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(+ -1/8 (* x (* x -1/16)))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))
-1/8
#s(literal -1/8 binary64)
(* x (* x -1/16))
(.f64 x (.f64 x #s(literal -1/16 binary64)))
(* x -1/16)
(*.f64 x #s(literal -1/16 binary64))
-1/16
#s(literal -1/16 binary64)
(+ 1 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(+ -1/2 (* (* x x) -1/8))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* (* x x) -1/8)
(.f64 x (.f64 x #s(literal -1/8 binary64)))

Results

120.0ms

256×

valid

Compiler

Compiled 156 to 91 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 57.0ms (70.7% of total)

ival-add: 19.0ms (23.6% of total)

const: 5.0ms (6.2% of total)

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

series20.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (* -1/2 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (* -1/2 (* x x)))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16)))))))>
#<alt (* x (* x (+ -1/8 (* x (* x -1/16)))))>
#<alt (* x (+ -1/8 (* x (* x -1/16))))>
#<alt (* x -1/16)>
#<alt (* (* x x) (+ -1/2 (* (* x x) -1/8)))>
#<alt (* (* x x) -1/8)>
#<alt (+ -1/2 (* (* x x) -1/8))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))))>
#<alt (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) -1/8))))>

Outputs
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/16 x)>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt -1/2>
#<alt (- (* -1/8 (pow x 2)) 1/2)>
#<alt (- (* -1/8 (pow x 2)) 1/2)>
#<alt (- (* -1/8 (pow x 2)) 1/2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt -1/2>
#<alt (- (* -1/8 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)>
#<alt (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (* x (+ -1/8 (* x (* x -1/16)))))
1.0ms	x	@	inf	(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16)))))))
0.0ms	x	@	inf	(* (* x x) (+ -1/2 (* (* x x) -1/8)))
0.0ms	x	@	0	(* -1/2 (* x x))
0.0ms	x	@	inf	(* -1/2 (* x x))

rewrite770.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6972×	`accelerator-lowering-fma.f32`
6972×	`accelerator-lowering-fma.f64`
4902×	`-lowering-.f32`
4902×	`-lowering-.f64`
3682×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	123
1	133	123
2	1163	123
0	8318	109

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 470

Calls

Call 1

Inputs
(* -1/2 (* x x))
(* x x)
(+ 1 (* -1/2 (* x x)))
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16)))))))
(* x (* x (+ -1/8 (* x (* x -1/16)))))
(* x (+ -1/8 (* x (* x -1/16))))
(* x -1/16)
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(* (* x x) -1/8)
(+ -1/2 (* (* x x) -1/8))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))))
(+ -1/2 (* x (* x (+ -1/8 (* x (* x -1/16))))))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) -1/8))))

Outputs
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))))))
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(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))))
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(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) #s(literal -1 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) #s(literal -1 binary64))))

simplify1.0s (4.5%)

Algorithm

1×	egg-herbie

Rules

19366×	`accelerator-lowering-fma.f32`
19366×	`accelerator-lowering-fma.f64`
3346×	`-lowering-.f32`
3346×	`-lowering-.f64`
2148×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1210
1	179	1210
2	596	1192
3	1686	1192
4	4103	1192
5	7931	1192
0	8352	1092

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/8 x)
(* x (- (* -1/16 (pow x 2)) 1/8))
(* x (- (* -1/16 (pow x 2)) 1/8))
(* x (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/16 x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
-1/2
(- (* -1/8 (pow x 2)) 1/2)
(- (* -1/8 (pow x 2)) 1/2)
(- (* -1/8 (pow x 2)) 1/2)
(* -1/8 (pow x 2))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
-1/2
(- (* -1/8 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)
(- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))

Outputs
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(* -1/16 (pow x 6))
(.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* -1/16 (pow x 6))
(.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1/16 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/16 binary64)))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1/16 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/16 binary64)))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* x (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* x (- (* -1/16 (pow x 2)) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1/16 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1/16 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1/2 (pow x 2))
(.f64 x (.f64 #s(literal -1/2 binary64) x))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/8 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(- (* -1/8 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(- (* -1/8 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(* -1/16 (pow x 6))
(.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))))
(* -1/16 (pow x 6))
(.f64 #s(literal -1/16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/8 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* -1/16 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/16 binary64)))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* -1/16 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/16 binary64)))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 x (.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/8 binary64)))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))

eval253.0ms (1.1%)

Compiler: Compiled 24356 to 12875 computations (47.1% saved)

prune91.0ms (0.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	680	3	683
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	680	8	688

Accuracy

100.0%

Counts

688 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	99.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	99.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
✓	99.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	99.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.2%	#s(literal 1 binary64)

Compiler

Compiled 193 to 125 computations (35.2% saved)

localize1.9s (8.5%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))

Rules

11056×	`accelerator-lowering-fma.f32`
11056×	`accelerator-lowering-fma.f64`
3914×	`-lowering-.f32`
3914×	`-lowering-.f64`
2272×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	390
1	70	386
2	285	378
3	1405	370
4	3153	370
5	6276	370
0	8325	319

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
1
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* x x)
x
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))
-1/2
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(* x (+ -1/8 (* (* x x) -1/16)))
(+ -1/8 (* (* x x) -1/16))
-1/8
(* (* x x) -1/16)
-1/16
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(/ 1 (/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(/ (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))

Outputs
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(* x x)
(*.f64 x x)
x
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* x (+ -1/8 (* (* x x) -1/16)))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(+ -1/8 (* (* x x) -1/16))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))
-1/8
#s(literal -1/8 binary64)
(* (* x x) -1/16)
(.f64 x (.f64 x #s(literal -1/16 binary64)))
-1/16
#s(literal -1/16 binary64)
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))
(- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64))))
(/ 1 (/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(/ (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))

Results

565.0ms

256×

valid

Compiler

Compiled 656 to 375 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 298.0ms (61.3% of total)

ival-add: 151.0ms (31.1% of total)

const: 15.0ms (3.1% of total)

ival-sub: 11.0ms (2.3% of total)

ival-div: 10.0ms (2.1% of total)

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

series20.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))>
#<alt (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))>
#<alt (* x (* x (+ -1/8 (* (* x x) -1/16))))>
#<alt (* x (+ -1/8 (* (* x x) -1/16)))>
#<alt (/ 1 (/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))>
#<alt (/ (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))>
#<alt (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))>
#<alt (* x x)>
#<alt (/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))>

Outputs
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))>
#<alt (* 1/256 (pow x 10))>
#<alt (* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 10))>
#<alt (* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2)))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* x (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2)))))))>
#<alt (/ -16 (pow x 6))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ -16 (pow x 6))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
0.0ms	x	@	inf	(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
0.0ms	x	@	0	(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
0.0ms	x	@	inf	(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
0.0ms	x	@	inf	(/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))

rewrite1.4s (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

7366×	`accelerator-lowering-fma.f32`
7366×	`accelerator-lowering-fma.f64`
4432×	`-lowering-.f32`
4432×	`-lowering-.f64`
3140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	261
1	152	229
2	1282	215
0	8383	187

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1464

Calls

Call 1

Inputs
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(* x (+ -1/8 (* (* x x) -1/16)))
(/ 1 (/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(/ (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(* x x)
(/ 1 (+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(+ 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))

Outputs
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(.f64 (pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) #s(literal -1 binary64))))))

simplify995.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

15882×	`accelerator-lowering-fma.f32`
15882×	`accelerator-lowering-fma.f64`
4082×	`-lowering-.f32`
4082×	`-lowering-.f64`
3916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	1824
1	509	1822
2	1426	1762
3	3758	1762
4	7523	1762
0	8189	1677

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(* 1/256 (pow x 10))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 10))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2)))
(/ 16 (pow x 6))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
(/ 16 (pow x 6))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/8 x)
(* x (- (* -1/16 (pow x 2)) 1/8))
(* x (- (* -1/16 (pow x 2)) 1/8))
(* x (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
1
(+ 1 (* -1/4 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2)))))))
(/ -16 (pow x 6))
(/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))
(/ -16 (pow x 6))
(/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))

Outputs
(* 1/4 (pow x 4))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/64 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64))))))))))
(* 1/256 (pow x 12))
(.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))))
(* 1/256 (pow x 12))
(.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/64 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))))))
(* 1/256 (pow x 10))
(*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
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(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/256 binary64) (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(* -1/256 (pow x 12))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1/256 binary64))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal -1/256 binary64) (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 3/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 3/8 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 3/8 (* 5/16 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/8 binary64) (.f64 x (.f64 x #s(literal 5/16 binary64))))))))
(/ -16 (pow x 6))
(/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -16 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal -640 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(/ -16 (pow x 6))
(/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(/ (- (* 32 (/ 1 (pow x 2))) 16) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) #s(literal -16 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) 16) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 64 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -16 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (*.f64 x x)))))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4))) (+ 16 (* 640 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal -640 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal -32 binary64) (/.f64 #s(literal -64 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -1/16 binary64))) #s(literal -1/8 binary64))))))
(* -1/16 (pow x 6))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/16 binary64))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))))
(* -1/16 (pow x 6))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/16 binary64))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))))

eval3.3s (14.2%)

Compiler: Compiled 279681 to 161989 computations (42.1% saved)

prune753.0ms (3.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	3093	3	3096
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	3095	9	3104

Accuracy

100.0%

Counts

3104 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
✓	99.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	99.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
✓	99.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	99.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
▶	99.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.2%	#s(literal 1 binary64)

Compiler

Compiled 223 to 141 computations (36.8% saved)

localize2.2s (9.6%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64)))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x x))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64)))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 5/64 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 5/64 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))

Rules

25056×	`accelerator-lowering-fma.f32`
25056×	`accelerator-lowering-fma.f64`
5592×	`-lowering-.f32`
5592×	`-lowering-.f64`
3450×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	540
1	144	520
2	598	504
3	2571	504
4	5521	504
0	8192	438

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
1
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* x x)
x
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))
-1/2
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(* x (+ -1/8 (* (* x x) -1/16)))
(+ -1/8 (* (* x x) -1/16))
-1/8
(* (* x x) -1/16)
-1/16
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16))))))))
(* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))
(* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16))))))
(+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))
(* (* x x) (+ 1/8 (* x (* x -1/16))))
(+ 1/8 (* x (* x -1/16)))
1/8
(* x (* x -1/16))
(* x -1/16)
(* (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))))
(* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))
(* (* x x) (* x x))
(+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))
1/4
(* (* x x) (+ 1/8 (* (* x x) 5/64)))
(+ 1/8 (* (* x x) 5/64))
(* (* x x) 5/64)
5/64
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))

Outputs
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(.f64 x (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(* x x)
(*.f64 x x)
x
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))
(* x (+ -1/8 (* (* x x) -1/16)))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))
(+ -1/8 (* (* x x) -1/16))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))
-1/8
#s(literal -1/8 binary64)
(* (* x x) -1/16)
(.f64 x (.f64 x #s(literal -1/16 binary64)))
-1/16
#s(literal -1/16 binary64)
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))
(* (* x x) (+ 1/8 (* x (* x -1/16))))
(.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))
(+ 1/8 (* x (* x -1/16)))
(+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))
1/8
#s(literal 1/8 binary64)
(* x (* x -1/16))
(.f64 x (.f64 x #s(literal -1/16 binary64)))
(* x -1/16)
(*.f64 x #s(literal -1/16 binary64))
(* (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64)))))))
(* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x x) (+ 1/8 (* (* x x) 5/64)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))
(+ 1/8 (* (* x x) 5/64))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64)))
(* (* x x) 5/64)
(.f64 (.f64 x x) #s(literal 5/64 binary64))
5/64
#s(literal 5/64 binary64)
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))

Results

559.0ms

256×

valid

Compiler

Compiled 790 to 425 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

ival-mult: 294.0ms (67% of total)

ival-add: 106.0ms (24.1% of total)

const: 18.0ms (4.1% of total)

ival-sub: 13.0ms (3% of total)

ival-div: 7.0ms (1.6% of total)

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

series21.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))>
#<alt (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))>
#<alt (* x (* x (+ -1/8 (* (* x x) -1/16))))>
#<alt (* (* x x) (* x x))>
#<alt (* (* x x) 5/64)>
#<alt (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (/ (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))>
#<alt (* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))))>
#<alt (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))>
#<alt (* x x)>
#<alt (* (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))>
#<alt (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))))>
#<alt (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))>

Outputs
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 12))>
#<alt (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))>
#<alt (* 1/256 (pow x 10))>
#<alt (* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* 1/256 (pow x 10))>
#<alt (* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt (* 5/64 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2)))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -5/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))>
#<alt (* -5/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* 1/4096 (pow x 18))>
#<alt (* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))>
#<alt (* 1/4096 (pow x 18))>
#<alt (* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* -1/256 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -5/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))>
#<alt (* -5/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))>
#<alt (* -5/64 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -5/64 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))>
#<alt (* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))>
#<alt (* 5/64 (pow x 8))>
#<alt (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* 5/64 (pow x 8))>
#<alt (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (* x x) 5/64)
1.0ms	x	@	inf	(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))))
0.0ms	x	@	inf	(/ (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
0.0ms	x	@	inf	(* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))
0.0ms	x	@	inf	(- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))))

rewrite1.1s (5%)

Algorithm

1×	batch-egg-rewrite

Rules

5238×	`-lowering-.f32`
5238×	`-lowering-.f64`
5034×	`accelerator-lowering-fma.f32`
5034×	`accelerator-lowering-fma.f64`
4088×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	344
1	280	286
2	2638	272
0	9314	244

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 738

Calls

Call 1

Inputs
(* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))
(* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))
(* x (* x (+ -1/8 (* (* x x) -1/16))))
(* (* x x) (* x x))
(* (* x x) 5/64)
(/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))
(* (- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))))))) (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ 1/8 (* x (* x -1/16)))))))))
(- 1 (* (* x x) (* (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16))))) (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(* x x)
(* (- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))) (/ 1 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64))))))
(* (* (* x x) (* x x)) (+ 1/4 (* (* x x) (+ 1/8 (* (* x x) 5/64)))))

Outputs
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))))))
(pow.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (neg.f64 (.f64 x x))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (*.f64 x x))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (neg.f64 (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (neg.f64 (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))) x)
(.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (.f64 x x))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))
(.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) x) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))))
(.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))) #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))
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(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 5/64 binary64))) #s(literal 1/8 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 5/64 binary64))) #s(literal 1/8 binary64))))) x) (.f64 x (.f64 x x)))
(.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 5/64 binary64))) #s(literal 1/8 binary64))))) (.f64 x (.f64 x x))) x)

simplify921.0ms (4%)

Algorithm

1×	egg-herbie

Rules

16038×	`accelerator-lowering-fma.f32`
16038×	`accelerator-lowering-fma.f64`
5192×	`-lowering-.f32`
5192×	`-lowering-.f64`
3840×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1818
1	548	1816
2	1474	1786
3	3775	1738
4	7558	1738
0	8441	1663

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 12))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(* 1/256 (pow x 10))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* 1/256 (pow x 10))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
(* 5/64 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2)))
(/ 16 (pow x 6))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
(/ 16 (pow x 6))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -5/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(* -5/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* 1/4096 (pow x 18))
(* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))
(* 1/4096 (pow x 18))
(* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))
1
(+ 1 (* -1/4 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* -1/256 (pow x 12))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -5/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(* -5/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
1
(+ 1 (* -1/4 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(* -5/64 (pow x 8))
(* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -5/64 (pow x 8))
(* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(* 5/64 (pow x 8))
(* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* 5/64 (pow x 8))
(* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))

Outputs
(* 1/4 (pow x 4))
(.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 5/64 binary64)))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/64 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64)))))))))
(* 1/256 (pow x 12))
(*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* 1/256 (pow x 12))
(*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)))))
(* (pow x 12) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* 1/4 (pow x 2))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 5/64 binary64))))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 5/64 (* 1/64 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/64 binary64) (.f64 x (.f64 x #s(literal 1/64 binary64))))))))))
(* 1/256 (pow x 10))
(*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 10 binary64)))
(* 1/256 (pow x 10))
(*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (* 1/64 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 1/256 (+ (/ 5/64 (pow x 4)) (+ (* 1/64 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/64 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 10 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))
(* -1/16 (pow x 6))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* -1/16 (pow x 6))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/16 binary64))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(* (pow x 2) (- (* -1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(* -1/16 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1/16 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
(* 5/64 (pow x 2))
(.f64 x (.f64 x #s(literal 5/64 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/8 binary64))) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))
(/ 16 (pow x 6))
(/.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -32 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ 16 (pow x 6))
(/.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- 16 (* 32 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -32 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(/ (+ 16 (* -1 (/ (+ 32 (* 64 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/ (- (+ 16 (* 128 (/ 1 (pow x 6)))) (+ (* 32 (/ 1 (pow x 2))) (/ 64 (pow x 4)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 128 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
(* -5/4 (pow x 2))
(.f64 x (.f64 x #s(literal -5/4 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -5/4 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (.f64 x x)))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (*.f64 x x))))))))
(* -5/4 (pow x 2))
(.f64 x (.f64 x #s(literal -5/4 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -5/4 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (.f64 x x)))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
(* 1/4096 (pow x 18))
(*.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/4096 binary64) (+.f64 (/.f64 #s(literal 1/2048 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/1024 binary64) (.f64 x (.f64 x x))) x))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/1024 binary64) (.f64 x (.f64 x x))) x) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* 1/4096 (pow x 18))
(*.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/4096 (* 1/2048 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (* 1/2048 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/4096 binary64) (+.f64 (/.f64 #s(literal 1/2048 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 5/1024 binary64) (.f64 x (.f64 x x))) x))))
(* (pow x 18) (+ 1/4096 (+ (/ 5/1024 (pow x 4)) (+ (* 1/2048 (/ 1 (pow x 2))) (* 1/512 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 5/1024 binary64) (.f64 x (.f64 x x))) x) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/4 binary64)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1/4 binary64))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -5/64 binary64))))))))
(* -1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/256 binary64))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x)))))
(* -1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/256 binary64))
(* -1 (* (pow x 12) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1/64 (* 5/64 (/ 1 (pow x 2)))) (pow x 2))) 1/256))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/256 binary64) (/.f64 (-.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 5/64 (* 1/8 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/256 (* 1/64 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))
(* -5/4 (pow x 2))
(.f64 x (.f64 x #s(literal -5/4 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -5/4 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (.f64 x x)))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (*.f64 x x))))))))
(* -5/4 (pow x 2))
(.f64 x (.f64 x #s(literal -5/4 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -5/4 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 5 (pow x 4))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (.f64 x x)))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 6 (/ 1 (pow x 6))) (/ 5 (pow x 4)))) 5/4))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/4 binary64) (/.f64 (/.f64 #s(literal 5 binary64) x) (.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/4 binary64)))
(+ 1 (* (pow x 4) (- (* -1/8 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal -1/4 binary64))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -5/64 (pow x 2)) 1/8)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -5/64 binary64))))))))
(* -5/64 (pow x 8))
(.f64 #s(literal -5/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)))))
(* -5/64 (pow x 8))
(.f64 #s(literal -5/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -5/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 5/64))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (- (/ 1 (pow x 8)) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x)))))
(* 1/4 (pow x 4))
(.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/4 (* 1/8 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 5/64 binary64)))))))
(* (pow x 4) (+ 1/4 (* (pow x 2) (+ 1/8 (* 5/64 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal 5/64 binary64)))))))
(* 5/64 (pow x 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x #s(literal 5/64 binary64)) (.f64 x (.f64 x x))))
(* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(* 5/64 (pow x 8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x #s(literal 5/64 binary64)) (.f64 x (.f64 x x))))
(* (pow x 8) (+ 5/64 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))
(* (pow x 8) (+ 5/64 (+ (/ 1/4 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 5/64 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (.f64 x x))))

eval2.4s (10.6%)

Compiler: Compiled 160928 to 90177 computations (44% saved)

prune324.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1636	2	1638
Fresh	0	0	0
Picked	3	0	3
Done	0	6	6
Total	1639	8	1647

Accuracy

100.0%

Counts

1647 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
	99.8%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))))
✓	99.7%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
✓	99.8%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
✓	99.6%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
	99.8%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.2%	#s(literal 1 binary64)

Compiler

Compiled 652 to 392 computations (39.9% saved)

regimes10.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes58.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 5/64 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64))))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal -1/16 binary64)))))))))))

Outputs

(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 5/64 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))))

Calls

2 calls:

53.0ms	(*.f64 x x)
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))))))))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary64)

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))

Calls

2 calls:

2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 90 to 52 computations (42.2% saved)

preprocess45.0ms (0.2%)

Remove: (abs x)
Compiler: Compiled 292 to 184 computations (37% saved)

analyze3.0ms (0%)

sample613.0ms (2.7%)

preprocess1.5s (6.4%)

explain113.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize1.5s (6.7%)

series4.0ms (0%)

rewrite604.0ms (2.6%)

simplify407.0ms (1.8%)

eval102.0ms (0.4%)

prune54.0ms (0.2%)

localize257.0ms (1.1%)

series20.0ms (0.1%)

rewrite770.0ms (3.4%)

simplify1.0s (4.5%)

eval253.0ms (1.1%)

prune91.0ms (0.4%)

localize1.9s (8.5%)

series20.0ms (0.1%)

rewrite1.4s (6.3%)

simplify995.0ms (4.4%)

eval3.3s (14.2%)

prune753.0ms (3.3%)

localize2.2s (9.6%)

series21.0ms (0.1%)

rewrite1.1s (5%)

simplify921.0ms (4%)

eval2.4s (10.6%)

prune324.0ms (1.4%)

regimes10.0ms (0%)

regimes58.0ms (0.3%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

soundness1.0ms (0%)

preprocess45.0ms (0.2%)

end0.0ms (0%)

Profiling