Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.4s (51.4%)

Memory

54.7MiB live, 10 122.3MiB allocated

Samples

7.2s	3 851×	2	valid
1.8s	4 308×	1	valid
9.0ms	97×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.2s

ival-tan: 7.2s (87.4% of total)

ival-div: 380.0ms (4.6% of total)

const: 303.0ms (3.7% of total)

ival-sub: 126.0ms (1.5% of total)

adjust: 121.0ms (1.5% of total)

ival-<: 76.0ms (0.9% of total)

exact: 13.0ms (0.2% of total)

ival-and: 12.0ms (0.1% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

preprocess24.0ms (0.1%)

Memory

10.2MiB live, 47.7MiB allocated

Algorithm

2×	egg-herbie

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))

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

Call 2

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(- (/ 1 (neg x)) (/ 1 (tan (neg x))))
(neg (- (/ 1 (neg x)) (/ 1 (tan (neg x)))))

Outputs
(- (/ 1 x) (/ 1 (tan x)))
(+ (/ -1 (tan x)) (/ 1 x))
(- (/ 1 (neg x)) (/ 1 (tan (neg x))))
(- (/ -1 x) (/ -1 (tan x)))
(neg (- (/ 1 (neg x)) (/ 1 (tan (neg x)))))
(+ (/ -1 (tan x)) (/ 1 x))

Symmetry

(negabs x)

explain553.0ms (3%)

Memory

22.1MiB live, 901.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

445.0ms	264×	2	valid
53.0ms	242×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

ival-tan: 441.0ms (92.6% of total)

ival-div: 21.0ms (4.4% of total)

adjust: 7.0ms (1.5% of total)

ival-sub: 6.0ms (1.3% of total)

exact: 1.0ms (0.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Memory

-36.6MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
1
x
(/ 1 (tan x))
(tan x)

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

localize239.0ms (1.3%)

Memory

3.5MiB live, 435.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (tan.f64 x))
✓	accuracy	6.4%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

202.0ms	132×	2	valid
26.0ms	121×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-tan: 200.0ms (92.1% of total)

ival-div: 10.0ms (4.6% of total)

adjust: 4.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

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

series4.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (/ 1 x) (/ 1 (tan x)))>
#<alt (/ 1 x)>
#<alt (/ 1 (tan x))>
#<alt (tan x)>

Outputs
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (* -1 (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin x)))>
#<alt (- (/ 1 x) (/ (cos x) (sin 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 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt (/ (cos x) (sin x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

12 calls:

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

rewrite231.0ms (1.3%)

Memory

-11.2MiB live, 309.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 072×	`accelerator-lowering-fma.f32`
3 072×	`accelerator-lowering-fma.f64`
2 002×	`-lowering-.f32`
2 002×	`-lowering-.f64`
1 374×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	45	17
2	448	17
3	5699	17
0	9207	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 277

Calls

Call 1

Inputs
(- (/ 1 x) (/ 1 (tan x)))
(/ 1 x)
(/ 1 (tan x))
(tan x)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x))) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x))) (.f64 x (.f64 x x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x))) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (*.f64 (tan.f64 x) x))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x #s(literal 1 binary64)) (.f64 (tan.f64 x) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 x (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(.f64 (/.f64 x (.f64 (sin.f64 x) x)) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(tan.f64 x)
(neg.f64 (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (sin.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify459.0ms (2.5%)

Memory

25.0MiB live, 759.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 970×	`accelerator-lowering-fma.f32`
18 970×	`accelerator-lowering-fma.f64`
3 656×	`-lowering-.f32`
3 656×	`-lowering-.f64`
3 436×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -2/945 binary64) #s(literal 0 binary64)) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x)
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval37.0ms (0.2%)

Memory: 16.2MiB live, 92.5MiB allocated
Compiler: Compiled 6 028 to 756 computations (87.5% saved)

prune42.0ms (0.2%)

Memory

-10.5MiB live, 107.6MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	321	4	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	4	326

Accuracy

99.4%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.3%	(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.2%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
▶	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify58.0ms (0.3%)

Memory

-31.2MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-64	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-64	(*.f64 #s(literal 1/3 binary64) x)

Rules

1 710×	`accelerator-lowering-fma.f32`
1 710×	`accelerator-lowering-fma.f64`
514×	`distribute-lft-in`
468×	`+-lowering-+.f64`
468×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	146
1	96	146
2	315	146
3	714	146
4	1036	146
5	1141	146
6	1147	146
0	1147	130

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/3 x)
1/3
x
(* x (+ (* x (+ (* x 1/45) 0)) 1/3))
x
(+ (* x (+ (* x 1/45) 0)) 1/3)
(+ (* x 1/45) 0)
1/45
0
1/3
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3))
x
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3)
(+ (* x x) 0)
0
(+ (* x (+ (* x 2/945) 0)) 1/45)
(+ (* x 2/945) 0)
2/945
1/45
1/3
(* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3))
x
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)
(+ (* x x) 0)
0
(+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)
(+ (* x (* x 1/4725)) 2/945)
(* x 1/4725)
1/4725
2/945
1/45
1/3

Outputs
(* 1/3 x)
(fma.f64 #s(literal 1/3 binary64) x #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
x
(* x (+ (* x (+ (* x 1/45) 0)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* x 1/45) 0)) 1/3)
(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(+ (* x 1/45) 0)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
0
#s(literal 0 binary64)
1/3
#s(literal 1/3 binary64)
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* x (+ (* x 2/945) 0)) 1/45)
(fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64))
(+ (* x 2/945) 0)
(fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64))
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
1/3
#s(literal 1/3 binary64)
(* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 0 binary64)) #s(literal 1/45 binary64))
(+ (* x (* x 1/4725)) 2/945)
(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
(* x 1/4725)
(*.f64 x #s(literal 1/4725 binary64))
1/4725
#s(literal 1/4725 binary64)
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
1/3
#s(literal 1/3 binary64)

localize118.0ms (0.7%)

Memory

33.3MiB live, 149.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
✓	accuracy	100.0%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/4725 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64))
✓	accuracy	99.4%	(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.3%	(fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.4%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.4%	(*.f64 #s(literal 1/3 binary64) x)

Samples

66.0ms

256×

valid

Compiler

Compiled 148 to 31 computations (79.1% saved)

Precisions

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

ival-mult: 32.0ms (60.7% of total)

const: 11.0ms (20.9% of total)

ival-add: 9.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-22.7MiB live, 17.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* 1/3 x)>
#<alt (+ (* x (+ (* x 1/45) 0)) 1/3)>
#<alt (+ (* x 1/45) 0)>
#<alt (* x (+ (* x (+ (* x 1/45) 0)) 1/3))>
#<alt (+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3)>
#<alt (+ (* x x) 0)>
#<alt (+ (* x (+ (* x 2/945) 0)) 1/45)>
#<alt (+ (* x 2/945) 0)>
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)>
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)>
#<alt (+ (* x (* x 1/4725)) 2/945)>
#<alt (* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3))>
#<alt (* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3))>
#<alt (* x 1/4725)>

Outputs
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 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 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))>
#<alt (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt 2/945>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>
#<alt (* 1/4725 x)>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (+ (* x (+ (* x 1/45) 0)) 1/3))
1.0ms	x	@	0	(+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)
1.0ms	x	@	0	(* 1/3 x)
0.0ms	x	@	inf	(+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3)
0.0ms	x	@	inf	(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)

rewrite611.0ms (3.4%)

Memory

35.4MiB live, 736.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 282×	`accelerator-lowering-fma.f32`
6 282×	`accelerator-lowering-fma.f64`
4 666×	`-lowering-.f32`
4 666×	`-lowering-.f64`
4 254×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	126
1	207	126
2	2153	126
0	8798	110

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 964

Calls

Call 1

Inputs
(* 1/3 x)
(+ (* x (+ (* x 1/45) 0)) 1/3)
(+ (* x 1/45) 0)
(* x (+ (* x (+ (* x 1/45) 0)) 1/3))
(+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3)
(+ (* x x) 0)
(+ (* x (+ (* x 2/945) 0)) 1/45)
(+ (* x 2/945) 0)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)
(+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)
(+ (* x (* x 1/4725)) 2/945)
(* x (+ (* (+ (* x x) 0) (+ (* x (+ (* x 2/945) 0)) 1/45)) 1/3))
(* x (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3))
(* x 1/4725)

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(+.f64 (fma.f64 #s(literal 1/45 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) x #s(literal 1/3 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/91125 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) (/.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/45 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) (/.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) x) (/.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/45 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/91125 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/2025 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/3 binary64))
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(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
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(.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 x #s(literal 1/4725 binary64))
(*.f64 #s(literal 1/4725 binary64) x)

simplify419.0ms (2.3%)

Memory

-15.1MiB live, 620.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 486×	`accelerator-lowering-fma.f32`
14 486×	`accelerator-lowering-fma.f64`
4 500×	`-lowering-.f32`
4 500×	`-lowering-.f64`
2 872×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1184
1	311	1184
2	823	1180
3	2131	1178
4	4690	1178
0	8177	1079

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 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)
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
2/945
(+ 2/945 (* 1/4725 (pow x 2)))
(+ 2/945 (* 1/4725 (pow x 2)))
(+ 2/945 (* 1/4725 (pow x 2)))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)
(* 1/4725 x)

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 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)
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(.f64 x (.f64 x #s(literal 2/945 binary64)))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
(* 2/945 x)
(*.f64 x #s(literal 2/945 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/4725 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4725 binary64))))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/4725 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4725 binary64))))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 1/4725 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4725 binary64))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* 1/4725 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4725 binary64))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
2/945
#s(literal 2/945 binary64)
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* 1/4725 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4725 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(fma.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -2/945 binary64)) #s(literal 1/4725 binary64)) #s(literal 0 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))
(* 1/4725 x)
(*.f64 x #s(literal 1/4725 binary64))

eval222.0ms (1.2%)

Memory: 24.2MiB live, 359.6MiB allocated
Compiler: Compiled 47 578 to 4 112 computations (91.4% saved)

prune185.0ms (1%)

Memory

-9.4MiB live, 317.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 296	6	1 302
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	1 299	7	1 306

Accuracy

99.9%

Counts

1 306 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.8%	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
▶	99.3%	(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
	99.4%	(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
▶	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
▶	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 278 to 145 computations (47.8% saved)

simplify356.0ms (2%)

Memory

16.3MiB live, 494.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x)))
✓	cost-diff	2560	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-64	(*.f64 x #s(literal 1/45 binary64))
✓	cost-diff	-64	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-64	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	64	(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))

Rules

7 688×	`accelerator-lowering-fma.f32`
7 688×	`accelerator-lowering-fma.f64`
4 404×	`-lowering-.f32`
4 404×	`-lowering-.f64`
2 264×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	272
1	159	260
2	470	258
3	1171	258
4	1967	258
5	2696	258
6	3349	258
7	5243	258
8	6168	258
9	6534	258
10	7669	258
0	8132	233

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3)
(* x x)
(+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)
(+ (* (* x x) 1/4725) 2/945)
1/4725
2/945
1/45
1/3
(* x (+ (* x (* x 1/45)) 1/3))
x
(+ (* x (* x 1/45)) 1/3)
(* x 1/45)
1/45
1/3
(* x (+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3))
x
(+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3)
(* x x)
(+ (* x (* x 2/945)) 1/45)
(* x 2/945)
2/945
1/45
1/3
(/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x)
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
1/2025
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(+ (* x x) 0)
x
0
-1/9
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
-1/3
(+ (* (* x (* x (* x (* x x)))) (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))) 0)
(* x (* x (* x (* x x))))
x
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))
2/945
(/ (+ 1/45 (/ 1/3 (* x x))) (* x x))
(+ 1/45 (/ 1/3 (* x x)))
1/45
(/ 1/3 (* x x))
1/3
0

Outputs
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ (* (* x x) 1/4725) 2/945)
(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
1/4725
#s(literal 1/4725 binary64)
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
1/3
#s(literal 1/3 binary64)
(* x (+ (* x (* x 1/45)) 1/3))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* x (* x 1/45)) 1/3)
(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(* x 1/45)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
1/3
#s(literal 1/3 binary64)
(* x (+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (* x 2/945)) 1/45)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(* x 2/945)
(fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64))
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
1/3
#s(literal 1/3 binary64)
(/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))
(fma.f64 (fma.f64 #s(literal 1/2025 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 -1/9 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x)
(fma.f64 x (fma.f64 #s(literal 1/2025 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 -1/9 binary64)) #s(literal 0 binary64))
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
(fma.f64 #s(literal 1/2025 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 -1/9 binary64))
1/2025
#s(literal 1/2025 binary64)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
-1/9
#s(literal -1/9 binary64)
(+ (* x (+ (* x 1/45) 0)) -1/3)
(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
(+ (* x 1/45) 0)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (* x (* x (* x (* x x)))) (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))) 0)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* x (* x (* x (* x x))))
(fma.f64 x (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))
x
(* x (* x (* x x)))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))
(+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
2/945
#s(literal 2/945 binary64)
(/ (+ 1/45 (/ 1/3 (* x x))) (* x x))
(/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(+ 1/45 (/ 1/3 (* x x)))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64))))
1/45
#s(literal 1/45 binary64)
(/ 1/3 (* x x))
(/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
1/3
#s(literal 1/3 binary64)
0
#s(literal 0 binary64)

localize160.0ms (0.9%)

Memory

29.3MiB live, 339.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓	accuracy	19.6%	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.5%	(*.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
✓	accuracy	99.5%	(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	99.3%	(*.f64 x #s(literal 2/945 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Samples

95.0ms

256×

valid

Compiler

Compiled 292 to 48 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 32.0ms (42.6% of total)

const: 20.0ms (26.6% of total)

ival-add: 14.0ms (18.6% of total)

ival-div: 9.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-9.0MiB live, 32.5MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (+ (* (* x x) 1/4725) 2/945)>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3)>
#<alt (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)>
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3))>
#<alt (+ (* x (* x 1/45)) 1/3)>
#<alt (* x (+ (* x (* x 1/45)) 1/3))>
#<alt (* x 1/45)>
#<alt (+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3)>
#<alt (+ (* x (* x 2/945)) 1/45)>
#<alt (* x (+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3))>
#<alt (* x x)>
#<alt (/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))>
#<alt (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)>
#<alt (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)>
#<alt (+ (* x x) 0)>
#<alt (+ (* (* x (* x (* x (* x x)))) (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))) 0)>
#<alt (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))>
#<alt (/ (+ 1/45 (/ 1/3 (* x x))) (* x x))>
#<alt (+ 1/45 (/ 1/3 (* x x)))>
#<alt (* x 2/945)>
#<alt (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x)>
#<alt (+ (* x 1/45) 0)>
#<alt (/ 1/3 (* x x))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>

Outputs
#<alt 2/945>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (+ 2/945 (* 1/4725 (pow x 2)))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* 1/4725 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 6))>
#<alt (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))>
#<alt (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* 1/4725 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))>
#<alt (* 1/4725 (pow x 7))>
#<alt (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 4))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (+ 1/45 (* 2/945 (pow x 2)))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 2/945 (pow x 2))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))>
#<alt 2/945>
#<alt (+ 2/945 (* 1/45 (/ 1 (pow x 2))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt 2/945>
#<alt (+ 2/945 (* 1/45 (/ 1 (pow x 2))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/45 (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))>
#<alt 1/45>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt 1/45>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt (+ 1/45 (* 1/3 (/ 1 (pow x 2))))>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* 2/945 x)>
#<alt (* -1/9 x)>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* x (- (* 1/2025 (pow x 4)) 1/9))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

75 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3)
1.0ms	x	@	inf	(/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))
1.0ms	x	@	0	(/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))
0.0ms	x	@	inf	(+ (* (* x (* x (* x (* x x)))) (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))) 0)
0.0ms	x	@	0	(/ (+ 1/45 (/ 1/3 (* x x))) (* x x))

rewrite497.0ms (2.7%)

Memory

-17.8MiB live, 651.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 154×	`-lowering-.f32`
5 154×	`-lowering-.f64`
4 818×	`accelerator-lowering-fma.f32`
4 818×	`accelerator-lowering-fma.f64`
3 306×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	225
1	349	213
2	3483	213
0	8726	188

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 801

Calls

Call 1

Inputs
(+ (* (* x x) 1/4725) 2/945)
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3)
(+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/4725) 2/945)) 1/45)) 1/3))
(+ (* x (* x 1/45)) 1/3)
(* x (+ (* x (* x 1/45)) 1/3))
(* x 1/45)
(+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3)
(+ (* x (* x 2/945)) 1/45)
(* x (+ (* (* x x) (+ (* x (* x 2/945)) 1/45)) 1/3))
(* x x)
(/ (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x) (+ (* x (+ (* x 1/45) 0)) -1/3))
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(+ (* x x) 0)
(+ (* (* x (* x (* x (* x x)))) (+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))) 0)
(+ 2/945 (/ (+ 1/45 (/ 1/3 (* x x))) (* x x)))
(/ (+ 1/45 (/ 1/3 (* x x))) (* x x))
(+ 1/45 (/ 1/3 (* x x)))
(* x 2/945)
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) x)
(+ (* x 1/45) 0)
(/ 1/3 (* x x))
(* x (* x x))
(* x (* x (* x x)))

Outputs
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 0 binary64)) #s(literal 2/945 binary64))
(+.f64 #s(literal 2/945 binary64) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(fma.f64 #s(literal 1/4725 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64))
(fma.f64 (*.f64 x #s(literal 1/4725 binary64)) x #s(literal 2/945 binary64))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64)) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal 4/893025 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64)) (+.f64 #s(literal 4/893025 binary64) (-.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal 4/893025 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal -4/893025 binary64))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal -4/893025 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal 4/893025 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal -4/893025 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64))))
(/.f64 (-.f64 #s(literal 4/893025 binary64) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64))) (-.f64 #s(literal 2/945 binary64) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal 4/893025 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal -4/893025 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/105488578125 binary64)) #s(literal 8/843908625 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal 4/893025 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/4465125 binary64)))))
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/22325625 binary64) #s(literal -4/893025 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4725 binary64) #s(literal -2/945 binary64))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) (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 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) (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 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))))
(fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 x (.f64 x (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) (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 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/3 binary64))
(fma.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 (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x #s(literal 1/3 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64))) x) x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))) #s(literal 1/9 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/3 binary64))))))
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(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) (/.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))) #s(literal 0 binary64))
(/.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #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)))
(/.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 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))))
(/.f64 (neg.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))) (-.f64 #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))))
(/.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 (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 0 binary64))) (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 0 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 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)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 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)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) (/.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))))

simplify691.0ms (3.8%)

Memory

-6.1MiB live, 750.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 808×	`accelerator-lowering-fma.f32`
12 808×	`accelerator-lowering-fma.f64`
4 532×	`-lowering-.f32`
4 532×	`-lowering-.f64`
1 894×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2110
1	350	2110
2	915	2104
3	2356	2082
4	5253	2064
0	8108	1917

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
2/945
(+ 2/945 (* 1/4725 (pow x 2)))
(+ 2/945 (* 1/4725 (pow x 2)))
(+ 2/945 (* 1/4725 (pow x 2)))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/45 (* 2/945 (pow x 2)))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(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)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ 1/45 (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/45 (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))
1/45
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
1/45
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(+ 1/45 (* 1/3 (/ 1 (pow x 2))))
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* 2/945 x)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
2/945
#s(literal 2/945 binary64)
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* 1/4725 (pow x 2))
(.f64 #s(literal 1/4725 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* 1/4725 (pow x 2))
(.f64 #s(literal 1/4725 binary64) (.f64 x x))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/4725 (pow x 6))
(.f64 #s(literal 1/4725 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(* 1/4725 (pow x 6))
(.f64 #s(literal 1/4725 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(* 1/4725 (pow x 4))
(.f64 #s(literal 1/4725 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(* 1/4725 (pow x 4))
(.f64 #s(literal 1/4725 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64))) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/4725 (pow x 7))
(*.f64 #s(literal 1/4725 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(fma.f64 (+.f64 #s(literal 1/4725 binary64) (/.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/45 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -2/945 binary64)) #s(literal 1/4725 binary64)) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 1/45 (pow x 2))
(.f64 x (.f64 x #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/45 binary64))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* 2/945 (pow x 4))
(.f64 #s(literal 2/945 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) (.f64 x (*.f64 x x)))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x #s(literal 1/45 binary64)))))
(* 2/945 (pow x 5))
(.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) (.f64 x (*.f64 x x)))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
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eval184.0ms (1%)

Memory: 3.1MiB live, 433.9MiB allocated
Compiler: Compiled 48 802 to 3 324 computations (93.2% saved)

prune132.0ms (0.7%)

Memory

1.3MiB live, 330.6MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 380	8	1 388
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	1 383	12	1 395

Accuracy

100.0%

Counts

1 395 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.6%	(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x)) #s(literal 0 binary64))
▶	99.1%	(/.f64 (.f64 (fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
	99.3%	(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
▶	99.4%	(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64))))
▶	99.3%	(/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))))
▶	99.3%	(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
▶	21.5%	(.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))))
✓	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 610 to 264 computations (56.7% saved)

simplify404.0ms (2.2%)

Memory

3.7MiB live, 588.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
✓	cost-diff	64	(fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	1728	(-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	1280	(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))))
✓	cost-diff	0	(/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64))
✓	cost-diff	64	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))
✓	cost-diff	-64	(/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -1/9 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64))))
✓	cost-diff	64	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))
✓	cost-diff	960	(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64)))

Rules

14 130×	`accelerator-lowering-fma.f32`
14 130×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
2 800×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	612
1	189	512
2	566	422
3	2076	384
4	3475	384
5	5403	380
0	8210	349

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))
(* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x)
(+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27)
(+ (* x (+ (* x x) 0)) 0)
x
(+ (* x x) 0)
0
(+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)
1/91125
1/27
(- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9)
(+ (* (+ (* x x) 0) 1/2025) 0)
1/2025
1/9
(* (+ (* x x) 0) 1/135)
1/135
(/ (* x -1/9) (+ (* x (+ (* x 1/45) 0)) -1/3))
(* x -1/9)
x
-1/9
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
0
-1/3
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9) (/ x (+ (* x (+ (* x 1/45) 0)) -1/3)))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9)
(+ (* x x) 0)
x
0
(+ (* (+ (* x x) 0) 1/2025) 0)
1/2025
-1/9
(/ x (+ (* x (+ (* x 1/45) 0)) -1/3))
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
-1/3
(* (+ (* x x) 0) (* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))))
(+ (* x x) 0)
x
0
(* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))))
(+ (* x (+ (* x x) 0)) 0)
(+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))
2/945
(/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))
(+ 1/45 (/ 1/3 (+ (* x x) 0)))
1/45
(/ 1/3 (+ (* x x) 0))
1/3
(/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))
(* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x)
(+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729)
(+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)
(+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)
(+ (* x (+ (* x x) 0)) 0)
x
(+ (* x x) 0)
0
1/8303765625
-1/729
(* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3))
(- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225))
(+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81)
(+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)
1/4100625
1/81
(* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)
(+ (* x (+ (* x (+ (* x x) 0)) 0)) 0)
-1/18225
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
-1/3

Outputs
(/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))
(/.f64 (fma.f64 x (fma.f64 #s(literal 1/91125 binary64) (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 1/27 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)) #s(literal 1/9 binary64)))
(* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x)
(fma.f64 x (fma.f64 #s(literal 1/91125 binary64) (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 1/27 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27)
(fma.f64 #s(literal 1/91125 binary64) (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 1/27 binary64))
(+ (* x (+ (* x x) 0)) 0)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64))
1/91125
#s(literal 1/91125 binary64)
1/27
#s(literal 1/27 binary64)
(- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)) #s(literal 1/9 binary64))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9)
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ (* (+ (* x x) 0) 1/2025) 0)
(fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal 0 binary64))
1/2025
#s(literal 1/2025 binary64)
1/9
#s(literal 1/9 binary64)
(* (+ (* x x) 0) 1/135)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) #s(literal 0 binary64))
1/135
#s(literal 1/135 binary64)
(/ (* x -1/9) (+ (* x (+ (* x 1/45) 0)) -1/3))
(fma.f64 x (/.f64 #s(literal -1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(* x -1/9)
(*.f64 x #s(literal -1/9 binary64))
x
-1/9
#s(literal -1/9 binary64)
(+ (* x (+ (* x 1/45) 0)) -1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(+ (* x 1/45) 0)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
0
#s(literal 0 binary64)
-1/3
#s(literal -1/3 binary64)
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9) (/ x (+ (* x (+ (* x 1/45) 0)) -1/3)))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64))) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9)
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* (+ (* x x) 0) 1/2025) 0)
(fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal 0 binary64))
1/2025
#s(literal 1/2025 binary64)
-1/9
#s(literal -1/9 binary64)
(/ x (+ (* x (+ (* x 1/45) 0)) -1/3))
(/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64)))
(+ (* x (+ (* x 1/45) 0)) -1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(+ (* x 1/45) 0)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
-1/3
#s(literal -1/3 binary64)
(* (+ (* x x) 0) (* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* x (+ (* x x) 0)) 0)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))
(+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))
2/945
#s(literal 2/945 binary64)
(/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))
(/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(+ 1/45 (/ 1/3 (+ (* x x) 0)))
(+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64))))
1/45
#s(literal 1/45 binary64)
(/ 1/3 (+ (* x x) 0))
(/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
1/3
#s(literal 1/3 binary64)
(/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))
(/.f64 (fma.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)) (fma.f64 x (*.f64 #s(literal 1/8303765625 binary64) (fma.f64 x (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 0 binary64)) #s(literal -1/729 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (fma.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 #s(literal 1/4100625 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 1/18225 binary64)) #s(literal 1/81 binary64)) #s(literal 0 binary64)))
(* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x)
(fma.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)) (fma.f64 x (*.f64 #s(literal 1/8303765625 binary64) (fma.f64 x (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 0 binary64)) #s(literal -1/729 binary64)) #s(literal 0 binary64))
(+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729)
(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)) (fma.f64 x (*.f64 #s(literal 1/8303765625 binary64) (fma.f64 x (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 0 binary64)) #s(literal -1/729 binary64))
(+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)
(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))
(+ (* x (+ (* x x) 0)) 0)
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1/8303765625
#s(literal 1/8303765625 binary64)
-1/729
#s(literal -1/729 binary64)
(* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) (fma.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 #s(literal 1/4100625 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 1/18225 binary64)) #s(literal 1/81 binary64)) #s(literal 0 binary64))
(- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225))
(fma.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 #s(literal 1/4100625 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 1/18225 binary64)) #s(literal 1/81 binary64))
(+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.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 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/81 binary64))
(+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64))
1/4100625
#s(literal 1/4100625 binary64)
1/81
#s(literal 1/81 binary64)
(* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/18225 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* x (+ (* x x) 0)) 0)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
-1/18225
#s(literal -1/18225 binary64)
(+ (* x (+ (* x 1/45) 0)) -1/3)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(+ (* x 1/45) 0)
(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
1/45
#s(literal 1/45 binary64)
-1/3
#s(literal -1/3 binary64)

localize323.0ms (1.8%)

Memory

25.2MiB live, 447.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.4%	(*.f64 (fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x)
✓	accuracy	99.1%	(/.f64 (.f64 (fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
✓	accuracy	98.4%	(.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	49.4%	(.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))))
✓	accuracy	26.0%	(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))
✓	accuracy	99.7%	(/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.5%	(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/9 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
✓	accuracy	99.8%	(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64))
✓	accuracy	99.8%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))
✓	accuracy	99.5%	(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64))))
✓	accuracy	99.4%	(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x)

Samples

95.0ms	189×	0	valid
63.0ms	31×	3	valid
23.0ms	19×	2	valid
18.0ms	17×	1	valid

Compiler

Compiled 766 to 67 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

const: 52.0ms (32.3% of total)

ival-mult: 42.0ms (26.1% of total)

adjust: 26.0ms (16.1% of total)

ival-add: 23.0ms (14.3% of total)

ival-div: 14.0ms (8.7% of total)

ival-sub: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.1%)

Memory

-5.8MiB live, 30.5MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135))>
#<alt (+ (* (+ (* x x) 0) 1/2025) 0)>
#<alt (/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))>
#<alt (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27)>
#<alt (* x -1/9)>
#<alt (+ (* x (+ (* x 1/45) 0)) -1/3)>
#<alt (+ (* x 1/45) 0)>
#<alt (/ (* x -1/9) (+ (* x (+ (* x 1/45) 0)) -1/3))>
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9)>
#<alt (+ (* x x) 0)>
#<alt (/ x (+ (* x (+ (* x 1/45) 0)) -1/3))>
#<alt (* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))))>
#<alt (+ (* x (+ (* x x) 0)) 0)>
#<alt (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))>
#<alt (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225))>
#<alt (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)>
#<alt (/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))>
#<alt (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729)>
#<alt (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x)>
#<alt (* (+ (* x x) 0) 1/135)>
#<alt (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9) (/ x (+ (* x (+ (* x 1/45) 0)) -1/3)))>
#<alt (* (+ (* x x) 0) (* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))))>
#<alt (/ 1/3 (+ (* x x) 0))>
#<alt (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3))>
#<alt (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x)>

Outputs
#<alt 1/9>
#<alt (+ 1/9 (* -1/135 (pow x 2)))>
#<alt (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))>
#<alt (+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/2025 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/27>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (+ 1/27 (* 1/91125 (pow x 6)))>
#<alt (* 1/91125 (pow x 6))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* 1/91125 (pow x 6))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt -1/3>
#<alt (- (* 1/45 (pow x 2)) 1/3)>
#<alt (- (* 1/45 (pow x 2)) 1/3)>
#<alt (- (* 1/45 (pow x 2)) 1/3)>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/45 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)>
#<alt (/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)>
#<alt (/ -5 x)>
#<alt (* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))>
#<alt -1/9>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (- (* 1/2025 (pow x 4)) 1/9)>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* 1/2025 (pow x 4))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))>
#<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 (* -3 x)>
#<alt (* x (- (* -1/5 (pow x 2)) 3))>
#<alt (* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))>
#<alt (/ 45 x)>
#<alt (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)>
#<alt (/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)>
#<alt (/ 45 x)>
#<alt (/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) x)>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) x)>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) x)>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))>
#<alt 2/945>
#<alt (+ 2/945 (* 1/45 (/ 1 (pow x 2))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt 2/945>
#<alt (+ 2/945 (* 1/45 (/ 1 (pow x 2))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))>
#<alt 1/81>
#<alt (+ 1/81 (* 1/18225 (pow x 4)))>
#<alt (+ 1/81 (* (pow x 4) (+ 1/18225 (* 1/4100625 (pow x 4)))))>
#<alt (+ 1/81 (* (pow x 4) (+ 1/18225 (* 1/4100625 (pow x 4)))))>
#<alt (* 1/4100625 (pow x 8))>
#<alt (* (pow x 8) (+ 1/4100625 (* 1/18225 (/ 1 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))>
#<alt (* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))>
#<alt (* 1/4100625 (pow x 8))>
#<alt (* (pow x 8) (+ 1/4100625 (* 1/18225 (/ 1 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))>
#<alt (* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (pow x 12)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt -1/729>
#<alt -1/729>
#<alt (- (* 1/8303765625 (pow x 12)) 1/729)>
#<alt (- (* 1/8303765625 (pow x 12)) 1/729)>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* 1/8303765625 (pow x 12))>
#<alt (* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* 1/27 x)>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* x (+ 1/27 (* 1/91125 (pow x 6))))>
#<alt (* 1/91125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* 1/91125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/135 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/45 (pow x 3))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/45 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))>
#<alt (* 2/945 (pow x 5))>
#<alt (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt -1/243>
#<alt (- (* 1/3645 (pow x 2)) 1/243)>
#<alt (- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)>
#<alt (- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)>
#<alt (* 1/184528125 (pow x 10))>
#<alt (* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))>
#<alt (* 1/184528125 (pow x 10))>
#<alt (* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))>
#<alt (* -1/729 x)>
#<alt (* -1/729 x)>
#<alt (* x (- (* 1/8303765625 (pow x 12)) 1/729))>
#<alt (* x (- (* 1/8303765625 (pow x 12)) 1/729))>
#<alt (* 1/8303765625 (pow x 13))>
#<alt (* 1/8303765625 (pow x 13))>
#<alt (* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))>
#<alt (* 1/8303765625 (pow x 13))>
#<alt (* 1/8303765625 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))>
#<alt (* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))>

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))
3.0ms	x	@	0	(/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))
1.0ms	x	@	inf	(/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))
1.0ms	x	@	inf	(- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225))
1.0ms	x	@	0	(/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))

rewrite355.0ms (2%)

Memory

13.4MiB live, 571.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 404×	`accelerator-lowering-fma.f32`
4 404×	`accelerator-lowering-fma.f64`
3 642×	`-lowering-.f32`
3 642×	`-lowering-.f64`
1 770×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	371
1	463	277
2	5328	259
0	8251	229

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 836

Calls

Call 1

Inputs
(- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135))
(+ (* (+ (* x x) 0) 1/2025) 0)
(/ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x) (- (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) 1/9) (* (+ (* x x) 0) 1/135)))
(+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27)
(* x -1/9)
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
(/ (* x -1/9) (+ (* x (+ (* x 1/45) 0)) -1/3))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9)
(+ (* x x) 0)
(/ x (+ (* x (+ (* x 1/45) 0)) -1/3))
(* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0))))
(+ (* x (+ (* x x) 0)) 0)
(+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))
(- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225))
(+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0)
(/ (* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x) (* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3)))
(+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729)
(* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) 1/91125) 0)) 1/27) x)
(* (+ (* x x) 0) 1/135)
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/2025) 0)) -1/9) (/ x (+ (* x (+ (* x 1/45) 0)) -1/3)))
(* (+ (* x x) 0) (* (+ (* x (+ (* x x) 0)) 0) (+ 2/945 (/ (+ 1/45 (/ 1/3 (+ (* x x) 0))) (+ (* x x) 0)))))
(/ 1/3 (+ (* x x) 0))
(* (- (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/4100625) 1/81) (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) -1/18225)) (+ (* x (+ (* x 1/45) 0)) -1/3))
(* (+ (* (+ (* (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0) (+ (* (+ (* x (+ (* x x) 0)) 0) (+ (* x (+ (* x x) 0)) 0)) 0)) 0) 1/8303765625) -1/729) x)

Outputs
(+.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64))))
(+.f64 (fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64)))))
(+.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64))))
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(+.f64 (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x #s(literal -1/729 binary64)))
(+.f64 (.f64 x #s(literal -1/729 binary64)) (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(+.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) x) (*.f64 #s(literal -1/729 binary64) x))
(+.f64 (.f64 #s(literal -1/729 binary64) x) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) x))
(fma.f64 x #s(literal -1/729 binary64) (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 x #s(literal -1/729 binary64)))
(fma.f64 #s(literal -1/729 binary64) x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) x))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) x (.f64 #s(literal -1/729 binary64) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal 1/572565594852444156646728515625 binary64) #s(literal -1/387420489 binary64)) x) (-.f64 (fma.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 1/68952523554931640625 binary64) #s(literal 1/531441 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/6053445140625 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 1/68952523554931640625 binary64) #s(literal -1/531441 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/729 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 36 binary64)) #s(literal 1/572565594852444156646728515625 binary64) #s(literal -1/387420489 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 1/68952523554931640625 binary64) #s(literal 1/531441 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/6053445140625 binary64))))
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(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/729 binary64)))
(.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/729 binary64)) x)

simplify402.0ms (2.2%)

Memory

29.2MiB live, 682.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 724×	`accelerator-lowering-fma.f32`
10 724×	`accelerator-lowering-fma.f64`
4 438×	`-lowering-.f32`
4 438×	`-lowering-.f64`
3 264×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	2250
1	696	2246
2	1723	2238
3	4117	2220
0	8448	2104

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/2025 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(- (* 1/45 (pow x 2)) 1/3)
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/45 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/ -5 x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (/ 1125 (pow x 4)))) x))
(* -1 (/ (+ 5 (+ (* 75 (/ 1 (pow x 2))) (+ (* 16875 (/ 1 (pow x 6))) (/ 1125 (pow x 4))))) x))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(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)
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/ 1/3 x)
(/ (+ 1/3 (* 1/45 (pow x 2))) x)
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) x)
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) x)
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 3) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))) (pow x 4))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
2/945
(+ 2/945 (* 1/45 (/ 1 (pow x 2))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
(+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2)))))
1/81
(+ 1/81 (* 1/18225 (pow x 4)))
(+ 1/81 (* (pow x 4) (+ 1/18225 (* 1/4100625 (pow x 4)))))
(+ 1/81 (* (pow x 4) (+ 1/18225 (* 1/4100625 (pow x 4)))))
(* 1/4100625 (pow x 8))
(* (pow x 8) (+ 1/4100625 (* 1/18225 (/ 1 (pow x 4)))))
(* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))
(* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))
(* 1/4100625 (pow x 8))
(* (pow x 8) (+ 1/4100625 (* 1/18225 (/ 1 (pow x 4)))))
(* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))
(* (pow x 8) (+ 1/4100625 (+ (/ 1/81 (pow x 8)) (* 1/18225 (/ 1 (pow x 4))))))
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(pow x 12)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
-1/729
-1/729
(- (* 1/8303765625 (pow x 12)) 1/729)
(- (* 1/8303765625 (pow x 12)) 1/729)
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* 1/8303765625 (pow x 12))
(* 1/8303765625 (pow x 12))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* (pow x 12) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
(/ 1/3 (pow x 2))
-1/243
(- (* 1/3645 (pow x 2)) 1/243)
(- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)
(- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)
(* 1/184528125 (pow x 10))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(* 1/184528125 (pow x 10))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(* -1/729 x)
(* -1/729 x)
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
(* 1/8303765625 (pow x 13))
(* 1/8303765625 (pow x 13))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(* 1/8303765625 (pow x 13))
(* 1/8303765625 (pow x 13))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))

Outputs
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)) #s(literal 1/9 binary64))
(* 1/2025 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal -1/135 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(* 1/2025 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2025 binary64)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal -1/135 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2025 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/2025 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2025 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* 1/91125 (pow x 6))
(*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* 1/91125 (pow x 6))
(*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 1/675 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 1/675 (* 1/10125 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/10125 binary64)) #s(literal 1/675 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
(* -1 (/ (+ 5 (* 75 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -75 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 75 (* 1125 (/ 1 (pow x 2)))) (pow x 2))) 5) x)
(/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (-.f64 #s(literal -75 binary64) (/.f64 #s(literal 1125 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 1125 (* 16875 (/ 1 (pow x 2)))) (pow x 4))) (+ 5 (* 75 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -5 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1125 binary64) (/.f64 #s(literal -16875 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -75 binary64) (*.f64 x x)))) x)
(/ -5 x)
(/.f64 #s(literal -5 binary64) x)
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(.f64 x (.f64 x #s(literal 1/135 binary64)))
(* 1/135 (pow x 2))
(.f64 x (.f64 x #s(literal 1/135 binary64)))
(* 1/135 (pow x 2))
(.f64 x (.f64 x #s(literal 1/135 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/45 (pow x 3))
(.f64 #s(literal 1/45 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* 2/945 (pow x 5))
(.f64 x (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 2/945 binary64))))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
-1/243
#s(literal -1/243 binary64)
(- (* 1/3645 (pow x 2)) 1/243)
(fma.f64 (*.f64 x x) #s(literal 1/3645 binary64) #s(literal -1/243 binary64))
(- (* (pow x 2) (+ 1/3645 (* -1/54675 (pow x 2)))) 1/243)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/54675 binary64)) #s(literal 1/3645 binary64)) #s(literal -1/243 binary64))
(- (* (pow x 2) (+ 1/3645 (* (pow x 2) (- (* 1/820125 (pow x 2)) 1/54675)))) 1/243)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/820125 binary64) #s(literal -1/54675 binary64))) #s(literal 1/3645 binary64)) #s(literal -1/243 binary64))
(* 1/184528125 (pow x 10))
(*.f64 #s(literal 1/184528125 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))) (/.f64 #s(literal 1/820125 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/820125 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/54675 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/184528125 (pow x 10))
(*.f64 #s(literal 1/184528125 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 1/184528125 (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (* 1/12301875 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))) (/.f64 #s(literal 1/820125 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 10) (- (+ 1/184528125 (/ 1/820125 (pow x 4))) (+ (* 1/12301875 (/ 1 (pow x 2))) (* 1/54675 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/184528125 binary64) (/.f64 #s(literal -1/12301875 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/820125 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/54675 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1/729 x)
(*.f64 x #s(literal -1/729 binary64))
(* -1/729 x)
(*.f64 x #s(literal -1/729 binary64))
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
(fma.f64 x #s(literal -1/729 binary64) (*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64))))
(* x (- (* 1/8303765625 (pow x 12)) 1/729))
(fma.f64 x #s(literal -1/729 binary64) (*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64))))
(* 1/8303765625 (pow x 13))
(*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64)))
(* 1/8303765625 (pow x 13))
(*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(*.f64 (+.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- 1/8303765625 (* 1/729 (/ 1 (pow x 12)))))
(*.f64 (+.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 13 binary64)))
(* 1/8303765625 (pow x 13))
(*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64)))
(* 1/8303765625 (pow x 13))
(*.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(*.f64 (+.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (- (* 1/729 (/ 1 (pow x 12))) 1/8303765625)))
(*.f64 (+.f64 #s(literal 1/8303765625 binary64) (/.f64 #s(literal -1/729 binary64) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 x #s(literal 13 binary64)))

eval419.0ms (2.3%)

Memory: 7.1MiB live, 633.9MiB allocated
Compiler: Compiled 147 864 to 6 146 computations (95.8% saved)

prune221.0ms (1.2%)

Memory

-3.5MiB live, 439.8MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	2 337	9	2 346
Fresh	3	0	3
Picked	5	0	5
Done	0	4	4
Total	2 345	13	2 358

Accuracy

100.0%

Counts

2 358 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) x))
	99.3%	(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
	99.0%	(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64))
	99.3%	(/.f64 (.f64 x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
	98.9%	(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/9 binary64))))
	99.3%	(.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (fma.f64 x (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/91125 binary64)) #s(literal 0 binary64))) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 1/9 binary64)))))
	48.6%	(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) x))
✓	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.3%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	99.2%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
✓	98.8%	(*.f64 #s(literal 1/3 binary64) x)
	99.3%	(*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))

Compiler

Compiled 872 to 266 computations (69.5% saved)

regimes23.0ms (0.1%)

Memory

22.0MiB live, 45.2MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/9 binary64))))
(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 1/4725 binary64)) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) x))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 2/945 binary64) (/.f64 (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))))))
(.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (fma.f64 x (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/91125 binary64)) #s(literal 0 binary64))) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (fma.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2025 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64))) #s(literal 1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2025 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (.f64 (fma.f64 (fma.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 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4100625 binary64) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/18225 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Calls

2 calls:

13.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
8.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes16.0ms (0.1%)

Memory

4.8MiB live, 19.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/9 binary64) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64))))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2/945 binary64) #s(literal 0 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Calls

2 calls:

11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) x))

Outputs
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(*.f64 #s(literal 1/3 binary64) x)

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify411.0ms (2.3%)

Memory

-77.6MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	24	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

soundness904.0ms (5%)

Memory

6.8MiB live, 480.0MiB allocated

Rules

18 970×	`accelerator-lowering-fma.f32`
18 970×	`accelerator-lowering-fma.f64`
14 486×	`accelerator-lowering-fma.f32`
14 486×	`accelerator-lowering-fma.f64`
6 282×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1184
1	311	1184
2	823	1180
3	2131	1178
4	4690	1178
0	8177	1079
0	29	126
1	207	126
2	2153	126
0	8798	110
0	67	324
1	179	324
2	458	318
3	1321	318
4	2085	318
5	3083	318
6	3670	318
7	3941	318
8	5080	318
9	7268	318
0	8431	300

Stop Event

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

Compiler

Compiled 116 to 64 computations (44.8% saved)

preprocess52.0ms (0.3%)

Memory: 24.3MiB live, 106.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 230 to 122 computations (47% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19

analyze5.0ms (0%)

sample9.4s (51.4%)

preprocess24.0ms (0.1%)

explain553.0ms (3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify11.0ms (0.1%)

localize239.0ms (1.3%)

series4.0ms (0%)

rewrite231.0ms (1.3%)

simplify459.0ms (2.5%)

eval37.0ms (0.2%)

prune42.0ms (0.2%)

simplify58.0ms (0.3%)

localize118.0ms (0.7%)

series14.0ms (0.1%)

rewrite611.0ms (3.4%)

simplify419.0ms (2.3%)

eval222.0ms (1.2%)

prune185.0ms (1%)

simplify356.0ms (2%)

localize160.0ms (0.9%)

series14.0ms (0.1%)

rewrite497.0ms (2.7%)

simplify691.0ms (3.8%)

eval184.0ms (1%)

prune132.0ms (0.7%)

simplify404.0ms (2.2%)

localize323.0ms (1.8%)

series24.0ms (0.1%)

rewrite355.0ms (2%)

simplify402.0ms (2.2%)

eval419.0ms (2.3%)

prune221.0ms (1.2%)

regimes23.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify411.0ms (2.3%)

soundness904.0ms (5%)

preprocess52.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	26
1	25	24
2	60	24
3	143	24
4	208	24
5	230	24
6	232	24
0	6	8
1	10	8
2	18	8
3	27	8
4	39	8
5	59	8
6	98	8
7	129	8
8	187	8
9	226	8
10	248	8
0	248	8

Iter	Nodes	Cost
0	6	19
1	10	19
2	18	19
3	27	19
4	39	19
5	59	19
6	98	19
7	129	19
8	187	19
9	226	19
10	248	19
0	248	19