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

analyze2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

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 7 computations (12.5% saved)

sample655.0ms (5.1%)

Memory

-56.9MiB live, 848.9MiB allocated

Samples

472.0ms	8 256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 95.0ms (45.5% of total)

ival-sqrt: 58.0ms (27.8% of total)

ival-sub: 43.0ms (20.6% of total)

ival-true: 5.0ms (2.4% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess815.0ms (6.4%)

Memory

27.2MiB live, 1 056.0MiB allocated

Algorithm

2×	egg-herbie

Rules

30 426×	`accelerator-lowering-fma.f32`
30 426×	`accelerator-lowering-fma.f64`
3 778×	`-lowering-.f32`
3 778×	`-lowering-.f64`
2 412×	`+-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)

explain71.0ms (0.6%)

Memory

-22.5MiB live, 186.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.6% of total)

ival-sqrt: 4.0ms (33.3% of total)

ival-sub: 3.0ms (25% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

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)

simplify835.0ms (6.6%)

Memory

22.6MiB live, 1 085.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

30 426×	`accelerator-lowering-fma.f32`
30 426×	`accelerator-lowering-fma.f64`
3 778×	`-lowering-.f32`
3 778×	`-lowering-.f64`
2 412×	`+-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

localize41.0ms (0.3%)

Memory

-4.8MiB live, 34.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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)))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (38.7% of total)

ival-sqrt: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 36

Calls

Call 1

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

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	(- 1 (* x x))
0.0ms	x	@	-inf	(sqrt (- 1 (* x x)))
0.0ms	x	@	inf	(* x x)

rewrite594.0ms (4.7%)

Memory

12.4MiB live, 651.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 716×	`accelerator-lowering-fma.f32`
4 716×	`accelerator-lowering-fma.f64`
4 136×	`/-lowering-/.f32`
4 136×	`/-lowering-/.f64`
3 492×	`-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)))
(- 1 (* x x))
(* 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 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.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 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.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 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))) (sqrt.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 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 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 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 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify252.0ms (2%)

Memory

2.2MiB live, 488.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 366×	`accelerator-lowering-fma.f32`
8 366×	`accelerator-lowering-fma.f64`
3 130×	`-lowering-.f32`
3 130×	`-lowering-.f64`
1 412×	`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)))))))
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))
(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)

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 x (.f64 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)))))))))
(* 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 x (.f64 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 x (.f64 x (.f64 x x)))))) (.f64 x (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 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 x (.f64 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 x (.f64 x (.f64 x x)))))) (.f64 x (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
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))
(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)

eval86.0ms (0.7%)

Memory: -8.9MiB live, 106.5MiB allocated
Compiler: Compiled 18 165 to 1 260 computations (93.1% saved)

prune52.0ms (0.4%)

Memory

4.8MiB live, 135.1MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	385	6	391
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	385	7	392

Accuracy

100.0%

Counts

392 → 7

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 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal -1/16 binary64)))))))))
▶	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
▶	99.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	100.0%	(sqrt.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	98.5%	#s(literal 1 binary64)

Compiler

Compiled 217 to 121 computations (44.2% saved)

simplify596.0ms (4.7%)

Memory

-7.3MiB live, 1 023.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 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)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	768	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))

Rules

26 304×	`accelerator-lowering-fma.f32`
26 304×	`accelerator-lowering-fma.f64`
3 294×	`+-lowering-+.f64`
3 294×	`+-lowering-+.f32`
2 756×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	279
1	98	269
2	273	233
3	869	231
4	3136	231
5	6664	231
0	8056	209

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize116.0ms (0.9%)

Memory

27.4MiB live, 184.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	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 (.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 x (.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 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))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

71.0ms

256×

valid

Compiler

Compiled 293 to 32 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 39.0ms (73.6% of total)

ival-add: 8.0ms (15.1% of total)

ival-div: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.3%)

Memory

-18.5MiB live, 20.0MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(+ 1 (* -1/2 (* x x)))
1.0ms	x	@	inf	(sqrt (/ (- (+ 1 (* x x)) (* (+ 1 (* x x)) (* x (* x (* x x))))) (* (+ 1 (* x x)) (+ 1 (* x x)))))
1.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(/ (- (+ 1 (* x x)) (* (+ 1 (* x x)) (* x (* x (* x x))))) (* (+ 1 (* x x)) (+ 1 (* x x))))
1.0ms	x	@	0	(/ (- (+ 1 (* x x)) (* (+ 1 (* x x)) (* x (* x (* x x))))) (* (+ 1 (* x x)) (+ 1 (* x x))))

rewrite746.0ms (5.9%)

Memory

-1.7MiB live, 788.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 650×	`accelerator-lowering-fma.f32`
5 650×	`accelerator-lowering-fma.f64`
4 508×	`-lowering-.f32`
4 508×	`-lowering-.f64`
4 194×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	223
1	204	212
2	1824	203
0	8720	182

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 918

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) #s(literal -1 binary64)))
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(fma.f64 x #s(literal -1/8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64))))
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(*.f64 x #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) x)

simplify651.0ms (5.1%)

Memory

52.1MiB live, 828.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 808×	`accelerator-lowering-fma.f32`
10 808×	`accelerator-lowering-fma.f64`
4 150×	`-lowering-.f32`
4 150×	`-lowering-.f64`
3 824×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	2205
1	476	2094
2	1667	2044
3	6519	2007
0	8241	1882

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval320.0ms (2.5%)

Memory: -32.7MiB live, 672.3MiB allocated
Compiler: Compiled 72 222 to 4 815 computations (93.3% saved)

prune208.0ms (1.6%)

Memory

-13.7MiB live, 469.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 569	3	1 572
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	1 570	9	1 579

Accuracy

100.0%

Counts

1 579 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	99.7%	(+.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)))))))))
▶	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/8 binary64))) (*.f64 x #s(literal -1/2 binary64)))))
✓	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
✓	99.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	99.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.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 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 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	98.5%	#s(literal 1 binary64)

Compiler

Compiled 182 to 90 computations (50.5% saved)

simplify470.0ms (3.7%)

Memory

29.0MiB live, 930.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

16 166×	`accelerator-lowering-fma.f32`
16 166×	`accelerator-lowering-fma.f64`
4 054×	`-lowering-.f32`
4 054×	`-lowering-.f64`
3 256×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	501
1	139	457
2	489	438
3	1941	431
4	3967	431
5	7339	431
0	8399	386

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize176.0ms (1.4%)

Memory

-0.4MiB live, 277.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/8 binary64))) (*.f64 x #s(literal -1/2 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x #s(literal -1/8 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 (.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 (.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 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 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (.f64 x x)))

Samples

97.0ms

256×

valid

Compiler

Compiled 546 to 42 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 25.0ms (37.9% of total)

ival-sqrt: 18.0ms (27.3% of total)

ival-add: 10.0ms (15.2% of total)

ival-sub: 6.0ms (9.1% of total)

ival-div: 5.0ms (7.6% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series19.0ms (0.1%)

Memory

-0.1MiB live, 36.8MiB allocated

Counts

24 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (* x x) (* x (* x x)))
0.0ms	x	@	inf	(sqrt (/ (+ -1 (* x (* (* x x) (* x (* x x))))) (+ -1 (neg (* x (* x (+ 1 (* x x))))))))
0.0ms	x	@	0	(sqrt (/ (+ -1 (* x (* (* x x) (* x (* x x))))) (+ -1 (neg (* x (* x (+ 1 (* x x))))))))
0.0ms	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 (- 1 (* (* x x) (+ -1/2 (* x (* x (+ -1/8 (* (* x x) -1/16)))))))))
0.0ms	x	@	inf	(sqrt (- (+ 1 (* x x)) (* x (* (* x (* x x)) (+ 1 (* x x))))))

rewrite589.0ms (4.6%)

Memory

17.9MiB live, 1 019.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 266×	`accelerator-lowering-fma.f32`
6 266×	`accelerator-lowering-fma.f64`
5 146×	`-lowering-.f32`
5 146×	`-lowering-.f64`
4 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	326
1	282	262
2	2564	262
0	9682	238

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 793

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x x))))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x (.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))))))
(.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 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 (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) #s(literal 1/2 binary64))
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(pow.f64 (exp.f64 (log1p.f64 (.f64 (+.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 #s(literal 0 binary64) (.f64 x x))))) #s(literal -1 binary64))
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(fma.f64 x #s(literal -1/8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/16 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/16 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(fma.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/8 binary64)))
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(fma.f64 (.f64 x #s(literal -1/16 binary64)) (.f64 x x) (*.f64 x #s(literal -1/8 binary64)))
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(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) x)
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(fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
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(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) x (.f64 x (.f64 x (*.f64 x x))))
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(.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
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(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

simplify815.0ms (6.4%)

Memory

-72.4MiB live, 953.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 046×	`accelerator-lowering-fma.f32`
13 046×	`accelerator-lowering-fma.f64`
6 244×	`+-lowering-+.f64`
6 244×	`+-lowering-+.f32`
4 200×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	2959
1	873	2760
2	2852	2669
0	8324	2570

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval208.0ms (1.6%)

Memory: 6.5MiB live, 530.6MiB allocated
Compiler: Compiled 79 996 to 4 375 computations (94.5% saved)

prune169.0ms (1.3%)

Memory

-25.5MiB live, 411.2MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 421	3	1 424
Fresh	0	0	0
Picked	3	1	4
Done	0	5	5
Total	1 424	9	1 433

Accuracy

100.0%

Counts

1 433 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))))
✓	99.7%	(+.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)))))))))
✓	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/8 binary64))) (*.f64 x #s(literal -1/2 binary64)))))
✓	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
✓	99.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	99.7%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.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 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)))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	98.5%	#s(literal 1 binary64)

Compiler

Compiled 177 to 93 computations (47.5% saved)

simplify1.0s (8.2%)

Memory

21.2MiB live, 1 258.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
✓	cost-diff	0	(+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.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 (.f64 x x) #s(literal -1/16 binary64)))))))
✓	cost-diff	0	(.f64 (.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 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 (.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 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 (.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 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)))))))))

Rules

32 282×	`accelerator-lowering-fma.f32`
32 282×	`accelerator-lowering-fma.f64`
4 656×	`-lowering-.f32`
4 656×	`-lowering-.f64`
4 188×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	534
1	116	498
2	480	488
3	2357	455
4	4919	455
0	8122	409

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

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

localize405.0ms (3.2%)

Memory

-27.6MiB live, 264.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	100.0%	(.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 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64)))))
✓	accuracy	99.8%	(.f64 (.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 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))))))))

Samples

208.0ms

256×

valid

Compiler

Compiled 534 to 36 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 148.0ms (88% of total)

ival-add: 9.0ms (5.3% of total)

ival-div: 4.0ms (2.4% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series9.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

16 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite614.0ms (4.8%)

Memory

-11.0MiB live, 1 303.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 076×	`accelerator-lowering-fma.f32`
5 076×	`accelerator-lowering-fma.f64`
4 310×	`-lowering-.f32`
4 310×	`-lowering-.f64`
3 430×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	277
1	252	261
2	2275	245
0	8569	222

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 705

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

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

simplify509.0ms (4%)

Memory

21.1MiB live, 890.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 850×	`accelerator-lowering-fma.f32`
12 850×	`accelerator-lowering-fma.f64`
6 764×	`+-lowering-+.f64`
6 764×	`+-lowering-+.f32`
3 706×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	3117
1	823	2701
2	2677	2656
0	8190	2569

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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)))
(* 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))))))
(* 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)))))))
(* -1/2 (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
(+ 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 (/ (sqrt -1) (pow x 2)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* -1 (/ (sqrt -1) (pow x 6))) (+ (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4))))))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1/2 (* (pow x 6) (sqrt -1))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (+ (sqrt -1) (* -1 (/ (sqrt -1) (pow x 2)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4)))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* -1 (/ (sqrt -1) (pow x 6))) (+ (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4))))))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1/2 (* (pow x 6) (sqrt -1)))))))
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)))))))
(/ (sqrt -1) x)
(/ (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) (pow x 2)))) x)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) x)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))) x)
(* -1 (/ (sqrt -1) x))
(* -1 (/ (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ (sqrt -1) (pow x 2)))) x))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))) x))
(* -1 (/ (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1/2 (/ (+ 2 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 2)))))))) x))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 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)))
(* x (sqrt -1))
(* x (- (+ (sqrt -1) (* -1 (/ (sqrt -1) (pow x 2)))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* -1 (/ (sqrt -1) (pow x 6))) (+ (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4))))))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1/2 (* (pow x 6) (sqrt -1))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (+ (sqrt -1) (* -1 (/ (sqrt -1) (pow x 2)))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4)))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt -1) (+ (* -1 (/ (sqrt -1) (pow x 2))) (+ (* -1 (/ (sqrt -1) (pow x 6))) (+ (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/2 (/ 1 (* (pow x 4) (sqrt -1)))) (/ (sqrt -1) (pow x 4))))))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1/2 (* (pow x 6) (sqrt -1)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -5/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* -3/16 (pow x 2)) 5/8)))))
(* (pow x 3) (sqrt -1))
(* (pow x 3) (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (- (+ (sqrt -1) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* (pow x 3) (- (+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (- (+ (sqrt -1) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow x 3) (- (+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* -1 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1 (pow x 2)) 1)))))
(* -1 (pow x 6))
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 6))
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 2)))))
(pow x 2)
(* (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))))
(* -1 (pow x 6))
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 6))
(* -1 (* (pow x 6) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 6) (- (/ 1 (pow x 4)) (+ 1 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -1/16 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -1/16 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -1/16 (pow x 2))))
(* -1/16 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* -1/16 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/16))
(* -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))))))
(pow x 3)
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (pow x 2)))
(* (pow x 3) (+ 1 (pow x 2)))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
(pow x 5)
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
(* (pow x 5) (+ 1 (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -5/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* -3/16 (pow x 2)) 5/8)))))
(* (pow x 3) (sqrt -1))
(* (pow x 3) (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* (pow x 3) (- (+ (sqrt -1) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* (pow x 3) (- (+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1)))))
(* -1 (* (pow x 3) (sqrt -1)))
(* -1 (* (pow x 3) (- (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* (pow x 3) (- (+ (sqrt -1) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(* -1 (* (pow x 3) (- (+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -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 (.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 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))) (/.f64 #s(literal 5/1024 binary64) (.f64 (.f64 x x) (*.f64 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 #s(literal 5/1024 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 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 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/2048 binary64) (.f64 x x))) (/.f64 #s(literal 5/1024 binary64) (.f64 (.f64 x x) (*.f64 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 #s(literal 5/1024 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 x 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 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -5/64 binary64)))) #s(literal -1/4 binary64))))
(* -1/256 (pow x 12))
(*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 12 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 (.f64 x 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 #s(literal -1/256 binary64) (pow.f64 x #s(literal 12 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 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 x x)))))
(* 1/4 (pow x 4))
(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64))
(* (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 (.f64 x x) #s(literal 1/64 binary64)))))))))
(* 1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/256 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 #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 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 #s(literal 5/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/256 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/256 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))))))
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(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 5/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal -1 binary64))))))))))
(* -1 (* (pow x 3) (- (+ (sqrt -1) (+ (* 1/2 (/ (- 1 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow x 6) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow x 4) (sqrt -1)))))) (/ 1/2 (* (pow x 2) (sqrt -1))))))
(.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 5/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))

eval238.0ms (1.9%)

Memory: 0.5MiB live, 582.7MiB allocated
Compiler: Compiled 120 900 to 4 201 computations (96.5% saved)

prune177.0ms (1.4%)

Memory

-8.2MiB live, 328.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 399	1	1 400
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	1 400	9	1 409

Accuracy

100.0%

Counts

1 409 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (sqrt.f64 (+.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))))
✓	99.7%	(+.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)))))))))
✓	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/8 binary64))) (*.f64 x #s(literal -1/2 binary64)))))
✓	99.4%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
✓	99.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
	99.7%	(.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)))))))))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	98.5%	#s(literal 1 binary64)

Compiler

Compiled 519 to 185 computations (64.4% saved)

regimes17.0ms (0.1%)

Memory

-10.9MiB live, 27.7MiB allocated

Counts

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

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

Calls

4 calls:

4.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(-.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)

regimes6.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

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 (*.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)))))))))

Calls

2 calls:

3.0ms	x
2.0ms	(*.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)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

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

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
2.0ms	(*.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)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes5.0ms (0%)

Memory

-30.8MiB live, 6.1MiB allocated

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:

3.0ms	(*.f64 x x)
1.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(*.f64 x x)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

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:

1.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
52×	`+-commutative_binary64`
26×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	104
1	94	104
2	113	104
3	127	104
4	144	104
5	155	104
6	170	104
7	177	104
8	181	104
9	182	104

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (8%)

Memory

-35.7MiB live, 659.3MiB allocated

Rules

13 046×	`accelerator-lowering-fma.f32`
13 046×	`accelerator-lowering-fma.f64`
12 850×	`accelerator-lowering-fma.f32`
12 850×	`accelerator-lowering-fma.f64`
8 366×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	2959
1	873	2760
2	2852	2669
0	8324	2570
0	62	295
1	150	286
2	415	278
3	1271	264
4	3831	263
5	6202	263
0	8200	252
0	30	223
1	204	212
2	1824	203
0	8720	182
0	277	3117
1	823	2701
2	2677	2656
0	8190	2569

Stop Event

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

Compiler

Compiled 264 to 134 computations (49.2% saved)

preprocess127.0ms (1%)

Memory: -8.8MiB live, 106.3MiB allocated
Remove: (abs x)
Compiler: Compiled 266 to 134 computations (49.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	47	104
1	94	104
2	113	104
3	127	104
4	144	104
5	155	104
6	170	104
7	177	104
8	181	104
9	182	104

Iter	Nodes	Cost
0	47	104
1	94	104
2	113	104
3	127	104
4	144	104
5	155	104
6	170	104
7	177	104
8	181	104
9	182	104

analyze2.0ms (0%)

sample655.0ms (5.1%)

preprocess815.0ms (6.4%)

explain71.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify835.0ms (6.6%)

localize41.0ms (0.3%)

series2.0ms (0%)

rewrite594.0ms (4.7%)

simplify252.0ms (2%)

eval86.0ms (0.7%)

prune52.0ms (0.4%)

simplify596.0ms (4.7%)

localize116.0ms (0.9%)

series42.0ms (0.3%)

rewrite746.0ms (5.9%)

simplify651.0ms (5.1%)

eval320.0ms (2.5%)

prune208.0ms (1.6%)

simplify470.0ms (3.7%)

localize176.0ms (1.4%)

series19.0ms (0.1%)

rewrite589.0ms (4.6%)

simplify815.0ms (6.4%)

eval208.0ms (1.6%)

prune169.0ms (1.3%)

simplify1.0s (8.2%)

localize405.0ms (3.2%)

series9.0ms (0.1%)

rewrite614.0ms (4.8%)

simplify509.0ms (4%)

eval238.0ms (1.9%)

prune177.0ms (1.4%)

regimes17.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes1.0ms (0%)

simplify14.0ms (0.1%)

soundness1.0s (8%)

preprocess127.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	47	104
1	94	104
2	113	104
3	127	104
4	144	104
5	155	104
6	170	104
7	177	104
8	181	104
9	182	104