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

analyze2.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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)

sample516.0ms (7.2%)

Memory

36.6MiB live, 691.6MiB allocated

Samples

359.0ms	8 256×	0	valid
0.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 105.0ms (47.6% of total)

ival-sqrt: 59.0ms (26.7% of total)

ival-sub: 43.0ms (19.5% of total)

ival-true: 6.0ms (2.7% of total)

exact: 4.0ms (1.8% of total)

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

Bogosity

preprocess719.0ms (10.1%)

Memory

-1.0MiB live, 901.1MiB 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) (fma.f64 x x #s(literal 0 binary64))))

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)

explain78.0ms (1.1%)

Memory

21.1MiB live, 99.1MiB 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

22.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.7% of total)

ival-sqrt: 4.0ms (36.7% of total)

ival-sub: 2.0ms (18.3% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify737.0ms (10.3%)

Memory

-12.3MiB live, 807.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

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) (fma.f64 x x #s(literal 0 binary64))))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x

localize34.0ms (0.5%)

Memory

-38.1MiB live, 37.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.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 (37.3% of total)

ival-sqrt: 2.0ms (37.3% of total)

ival-sub: 1.0ms (18.6% 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

3.8MiB live, 3.8MiB 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)

rewrite369.0ms (5.2%)

Memory

39.6MiB live, 579.7MiB 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) (log.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 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 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 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 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.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 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))))
(/.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 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 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) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))) (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.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 (fma.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.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 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.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 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))))))
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(.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)))))) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.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)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.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)))))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.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)))))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.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)))))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(.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)))))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.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)))))) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.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)))))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) #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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.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)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(.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)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.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)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(.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)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(.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)))))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.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)))))) (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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)))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.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)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.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 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #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 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) #s(literal 0 binary64)) #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))

simplify277.0ms (3.9%)

Memory

-13.9MiB live, 353.4MiB 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)))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x (sqrt -1))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 x (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(* 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))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(* -1 (* x (sqrt -1)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 x (-.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 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)))))))
(fma.f64 x (+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))) (-.f64 (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval88.0ms (1.2%)

Memory: 22.3MiB live, 99.1MiB allocated
Compiler: Compiled 16 686 to 1 252 computations (92.5% saved)

prune198.0ms (2.8%)

Memory

4.9MiB live, 117.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

100.0%

Counts

392 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	99.1%	(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
▶	100.0%	(sqrt.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	98.6%	#s(literal 1 binary64)

Compiler

Compiled 43 to 31 computations (27.9% saved)

simplify755.0ms (10.6%)

Memory

-13.3MiB live, 430.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
✓	cost-diff	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	(fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64)))

Rules

13 200×	`accelerator-lowering-fma.f32`
13 200×	`accelerator-lowering-fma.f64`
2 828×	`-lowering-.f32`
2 828×	`-lowering-.f64`
2 032×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	93
1	58	93
2	147	91
3	424	91
4	916	91
5	1134	91
6	1185	91
7	1236	91
8	1404	91
9	1677	91
10	2587	91
11	4591	91
12	6136	91
13	6525	91
14	6603	91
15	6670	91
16	6686	91
17	6918	91
18	7307	91
19	7600	91
0	8018	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
1
(sqrt (+ (* (- 0 x) x) 1))
(+ (* (- 0 x) x) 1)
(- 0 x)
0
x
1
(+ (* -1/2 (+ (* x x) 0)) 1)
-1/2
(+ (* x x) 0)
x
0
1
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)) 1)
(+ (* x x) 0)
x
0
(+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)
(* x (+ (* x (* x -1/16)) -1/8))
(+ (* x (* x -1/16)) -1/8)
(* x -1/16)
-1/16
-1/8
-1/2
1

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

localize104.0ms (1.5%)

Memory

-21.2MiB live, 63.2MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

49.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (54.4% of total)

ival-add: 6.0ms (27.2% of total)

ival-sqrt: 2.0ms (9.1% of total)

ival-sub: 1.0ms (4.5% of total)

exact: 1.0ms (4.5% of total)

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

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

series6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (sqrt (+ (* (- 0 x) x) 1))>
#<alt (+ (* (- 0 x) x) 1)>
#<alt (- 0 x)>
#<alt (+ (* -1/2 (+ (* x x) 0)) 1)>
#<alt (+ (* x x) 0)>
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)) 1)>
#<alt (+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)>
#<alt (+ (* x (* x -1/16)) -1/8)>
#<alt (* x (+ (* x (* x -1/16)) -1/8))>
#<alt (* x -1/16)>

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

Calls

30 calls:

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

rewrite445.0ms (6.2%)

Memory

38.4MiB live, 823.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 440×	`accelerator-lowering-fma.f32`
8 440×	`accelerator-lowering-fma.f64`
3 622×	`-lowering-.f32`
3 622×	`-lowering-.f64`
3 078×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	76
1	146	76
2	1321	73
0	9338	63

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 693

Calls

Call 1

Inputs
(sqrt (+ (* (- 0 x) x) 1))
(+ (* (- 0 x) x) 1)
(- 0 x)
(+ (* -1/2 (+ (* x x) 0)) 1)
(+ (* x x) 0)
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)) 1)
(+ (* x (* x (+ (* x (* x -1/16)) -1/8))) -1/2)
(+ (* x (* x -1/16)) -1/8)
(* x (+ (* x (* x -1/16)) -1/8))
(* x -1/16)

Outputs
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
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(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
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(-.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
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(fma.f64 x x #s(literal 1 binary64))
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(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
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(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4096 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 #s(literal -1/512 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) (.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64))))) (-.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))) (neg.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)))))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4096 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 #s(literal -1/512 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64))) (-.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal -1/8 binary64) #s(literal 0 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64))) (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64)))))
(.f64 (.f64 x (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4096 binary64) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64)) #s(literal 1/64 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/128 binary64)))))
(.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4096 binary64) #s(literal -1/512 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64)) #s(literal 1/64 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/128 binary64)))))
(.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/256 binary64)) #s(literal -1/64 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/16 binary64) #s(literal -1/8 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/16 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 x #s(literal -1/16 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/16 binary64) x #s(literal 0 binary64))
(*.f64 x #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) x)

simplify386.0ms (5.4%)

Memory

-28.3MiB live, 710.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 576×	`accelerator-lowering-fma.f32`
11 576×	`accelerator-lowering-fma.f64`
3 426×	`-lowering-.f32`
3 426×	`-lowering-.f64`
1 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	893
1	257	880
2	818	858
3	2449	844
4	6518	844
0	8176	791

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

eval157.0ms (2.2%)

Memory: 15.6MiB live, 326.7MiB allocated
Compiler: Compiled 29 595 to 2 140 computations (92.8% saved)

prune95.0ms (1.3%)

Memory

-17.4MiB live, 260.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	900	3	903
Fresh	0	0	0
Picked	3	1	4
Done	1	0	1
Total	904	4	908

Accuracy

100.0%

Counts

908 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	99.1%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶	100.0%	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
✓	98.6%	#s(literal 1 binary64)

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify422.0ms (5.9%)

Memory

-2.5MiB live, 586.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Rules

15 440×	`accelerator-lowering-fma.f32`
15 440×	`accelerator-lowering-fma.f64`
3 084×	`-lowering-.f32`
3 084×	`-lowering-.f64`
2 032×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	57	87
2	128	87
3	302	87
4	651	87
5	771	87
6	926	87
7	1235	87
8	1514	87
9	2423	87
10	4415	87
11	5956	87
12	6352	87
13	6430	87
14	6497	87
15	6513	87
16	6745	87
17	7134	87
18	7428	87
0	8134	79

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize108.0ms (1.5%)

Memory

2.8MiB live, 142.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal -1/16 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Samples

36.0ms

256×

valid

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (57.1% of total)

ival-add: 6.0ms (26.3% of total)

ival-sqrt: 2.0ms (8.8% of total)

ival-neg: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

33 calls:

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

rewrite492.0ms (6.9%)

Memory

-28.1MiB live, 768.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 598×	`accelerator-lowering-fma.f32`
12 598×	`accelerator-lowering-fma.f64`
5 972×	`-lowering-.f32`
5 972×	`-lowering-.f64`
3 120×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	121	77
2	926	77
0	8572	69

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 427

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) x #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64)))) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal -1 binary64))))))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
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(.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/4096 binary64)) #s(literal -1/512 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal 1/64 binary64)) (.f64 (.f64 x x) #s(literal -1/128 binary64)))))
(.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/256 binary64))) #s(literal -1/64 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))))
(*.f64 x #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) x)

simplify362.0ms (5.1%)

Memory

22.5MiB live, 612.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 576×	`accelerator-lowering-fma.f32`
11 576×	`accelerator-lowering-fma.f64`
3 426×	`-lowering-.f32`
3 426×	`-lowering-.f64`
1 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	929
1	259	916
2	810	894
3	2428	880
4	6495	880
0	8161	827

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval123.0ms (1.7%)

Memory: 20.8MiB live, 175.2MiB allocated
Compiler: Compiled 16 756 to 1 471 computations (91.2% saved)

prune55.0ms (0.8%)

Memory

4.1MiB live, 163.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	559	0	559
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	559	4	563

Accuracy

100.0%

Counts

563 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	99.1%	(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	100.0%	(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
✓	98.6%	#s(literal 1 binary64)

Compiler

Compiled 100 to 48 computations (52% saved)

regimes12.0ms (0.2%)

Memory

-15.4MiB live, 27.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/16 binary64)) #s(literal -1/8 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))

Outputs
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))

Calls

4 calls:

4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

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

Calls

4 calls:

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

regimes32.0ms (0.5%)

Memory

-23.5MiB live, 16.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.1%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
98.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
98.6%	1	`x`
98.6%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	22	19
2	28	19
3	31	19
4	32	19

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness502.0ms (7%)

Memory

-29.0MiB live, 412.3MiB allocated

Rules

8 440×	`accelerator-lowering-fma.f32`
8 440×	`accelerator-lowering-fma.f64`
8 366×	`accelerator-lowering-fma.f32`
8 366×	`accelerator-lowering-fma.f64`
4 716×	`accelerator-lowering-fma.f32`

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
0	22	76
1	146	76
2	1321	73
0	9338	63
0	5	14
1	29	14
2	184	14
3	1337	14
0	9359	12

Stop Event

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

preprocess30.0ms (0.4%)

Memory: -0.6MiB live, 76.4MiB allocated
Remove: (abs x)
Compiler: Compiled 104 to 70 computations (32.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample516.0ms (7.2%)

preprocess719.0ms (10.1%)

explain78.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify737.0ms (10.3%)

localize34.0ms (0.5%)

series2.0ms (0%)

rewrite369.0ms (5.2%)

simplify277.0ms (3.9%)

eval88.0ms (1.2%)

prune198.0ms (2.8%)

simplify755.0ms (10.6%)

localize104.0ms (1.5%)

series6.0ms (0.1%)

rewrite445.0ms (6.2%)

simplify386.0ms (5.4%)

eval157.0ms (2.2%)

prune95.0ms (1.3%)

simplify422.0ms (5.9%)

localize108.0ms (1.5%)

series3.0ms (0%)

rewrite492.0ms (6.9%)

simplify362.0ms (5.1%)

eval123.0ms (1.7%)

prune55.0ms (0.8%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes32.0ms (0.5%)

regimes4.0ms (0.1%)

simplify8.0ms (0.1%)

soundness502.0ms (7%)

preprocess30.0ms (0.4%)

end0.0ms (0%)

Profiling