Metrics for invcot (example 3.9)

analyze5.0ms (0%)

Memory

16.3MiB live, 16.3MiB 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 (49.6%)

Memory

65.8MiB live, 10 066.3MiB allocated

Samples

7.3s	3 974×	2	valid
1.7s	4 238×	1	valid
4.0ms	44×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-tan: 7.2s (83.3% of total)

const: 593.0ms (6.8% of total)

ival-div: 392.0ms (4.5% of total)

ival-sub: 237.0ms (2.7% of total)

adjust: 158.0ms (1.8% of total)

ival-<: 46.0ms (0.5% of total)

ival-and: 13.0ms (0.1% of total)

exact: 12.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

preprocess57.0ms (0.3%)

Memory

-47.7MiB live, 43.3MiB 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)

explain458.0ms (2.4%)

Memory

51.4MiB live, 755.6MiB 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

335.0ms	216×	2	valid
63.0ms	292×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-tan: 342.0ms (91.1% of total)

ival-div: 19.0ms (5.1% of total)

adjust: 7.0ms (1.9% of total)

ival-sub: 5.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (0.1%)

Memory

-29.5MiB live, 9.7MiB 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)

localize198.0ms (1%)

Memory

29.6MiB live, 301.4MiB 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	7.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

154.0ms	108×	2	valid
33.0ms	146×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-tan: 157.0ms (89.2% of total)

ival-div: 11.0ms (6.3% of total)

adjust: 4.0ms (2.3% of total)

ival-sub: 4.0ms (2.3% 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

6.7MiB live, 6.7MiB 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))

rewrite209.0ms (1.1%)

Memory

-8.0MiB live, 344.3MiB 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))

simplify726.0ms (3.8%)

Memory

-42.6MiB live, 727.0MiB 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))

eval179.0ms (0.9%)

Memory: -13.9MiB live, 62.1MiB allocated
Compiler: Compiled 6 028 to 756 computations (87.5% saved)

prune38.0ms (0.2%)

Memory

13.2MiB live, 90.2MiB 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

99.5%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.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)))
▶	99.4%	(*.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)))
▶	99.3%	(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
▶	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify51.0ms (0.3%)

Memory

13.5MiB live, 95.9MiB 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)

localize94.0ms (0.5%)

Memory

-26.0MiB live, 176.6MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

59.0ms

256×

valid

Compiler

Compiled 148 to 31 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 19.0ms (41.5% of total)

ival-add: 16.0ms (34.9% of total)

const: 11.0ms (24% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB 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
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	(* 1/3 x)
0.0ms	x	@	inf	(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x (* x 1/4725)) 2/945)) 1/45)) 1/3)

rewrite571.0ms (3%)

Memory

15.6MiB live, 755.0MiB 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))
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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)

simplify445.0ms (2.3%)

Memory

18.6MiB live, 598.4MiB 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))

eval190.0ms (1%)

Memory: -5.6MiB live, 414.4MiB allocated
Compiler: Compiled 47 578 to 4 112 computations (91.4% saved)

prune165.0ms (0.9%)

Memory

-2.2MiB live, 415.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1 291	11	1 302
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	1 294	12	1 306

Accuracy

100.0%

Counts

1 306 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
	99.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
	28.6%	(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))
	28.7%	(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)))))))
	99.4%	(/.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)))
▶	99.5%	(/.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)))))
▶	99.5%	(.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)))
▶	99.4%	(.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)))
▶	99.3%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
	58.1%	(.f64 x (/.f64 (fma.f64 (.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 x (fma.f64 x #s(literal 2/945 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 -1/3 binary64)) (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 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/2025 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))))))
▶	99.3%	(.f64 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 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))))
✓	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 600 to 285 computations (52.5% saved)

simplify336.0ms (1.8%)

Memory

11.9MiB live, 456.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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	320	(*.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))))
✓	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))
✓	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	0	(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))
✓	cost-diff	0	(/.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)))))
✓	cost-diff	320	(*.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)))
✓	cost-diff	960	(-.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))))

Rules

7 732×	`accelerator-lowering-fma.f32`
7 732×	`accelerator-lowering-fma.f64`
4 880×	`-lowering-.f32`
4 880×	`-lowering-.f64`
1 100×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	186	335
2	527	315
3	1393	295
4	2617	295
5	3226	295
6	3941	295
7	5965	295
0	8098	264

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))))
(* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)
(+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)
1/91125
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(+ (* x x) 0)
x
0
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
1/27
(- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0)))
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)
1/2025
1/9
(* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))
1/3
(+ (* x (+ (* x 1/45) 0)) 0)
(+ (* x 1/45) 0)
1/45
(* 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
(* 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 (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))))
x
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)))
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
1/2025
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(+ (* x x) 0)
0
-1/9
(/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))
1
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
-1/3

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

localize244.0ms (1.3%)

Memory

-21.8MiB live, 290.6MiB allocated

Localize:

Found 19 expressions of interest:

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

Samples

165.0ms

256×

valid

Compiler

Compiled 402 to 54 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-add: 71.0ms (51.6% of total)

ival-mult: 31.0ms (22.5% of total)

const: 31.0ms (22.5% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 1.0ms (0.7% 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

31.3MiB live, 31.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0)))>
#<alt (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))>
#<alt (/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))))>
#<alt (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)>
#<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 (+ (* (* 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 (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* 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 (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)>
#<alt (+ (* x 1/45) 0)>
#<alt (* x 2/945)>
#<alt (* x (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))))>
#<alt (+ (* x (+ (* x 1/45) 0)) -1/3)>

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 (* 1/135 (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 1/27>
#<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 1/3>
#<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 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 -1/9>
#<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 (* 1/27 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 (* 1/45 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 (* 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 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 (- (* 1/45 (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)))))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))))
1.0ms	x	@	inf	(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))))
1.0ms	x	@	0	(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))))
0.0ms	x	@	inf	(- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0)))
0.0ms	x	@	inf	(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)))

rewrite421.0ms (2.2%)

Memory

-14.6MiB live, 696.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 262×	`-lowering-.f32`
4 262×	`-lowering-.f64`
3 934×	`accelerator-lowering-fma.f32`
3 934×	`accelerator-lowering-fma.f64`
2 696×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	296
1	391	202
2	3928	202
0	8499	177

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 841

Calls

Call 1

Inputs
(- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0)))
(* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))
(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) (- (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9) (* 1/3 (+ (* x (+ (* x 1/45) 0)) 0))))
(+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)
(+ (* 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)
(+ (* (* 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))
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* 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)
(* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)
(+ (* x 1/45) 0)
(* x 2/945)
(* x (* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))))
(+ (* x (+ (* x 1/45) 0)) -1/3)

Outputs
(+.f64 #s(literal 1/9 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 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) #s(literal 0 binary64))))
(+.f64 #s(literal 1/9 binary64) (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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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 0 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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 0 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)) (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 (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))) (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 0 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) #s(literal 0 binary64)))
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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))) #s(literal 0 binary64))
(-.f64 (/.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)) (.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)) (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)))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) (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 (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)) (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 (.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)) #s(literal 1/2460375 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) (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 (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)) (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 (/.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)) (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))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) (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 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/18225 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) (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)))))
(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)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))))
(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)) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) (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)))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/45 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 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))))
(fma.f64 x (*.f64 (fma.f64 x #s(literal 1/45 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 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 1/2025 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 1/2025 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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)))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (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)))
(fma.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
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(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 0 binary64))
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(-.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))
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(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)) #s(literal 1/45 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 (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(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)) #s(literal 1/91125 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (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 0 binary64))) #s(literal -1/3 binary64))
(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)) #s(literal 1/91125 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))) #s(literal 0 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 0 binary64)) (/.f64 #s(literal 1 binary64) (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 (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))
(/.f64 #s(literal 1 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))))
(/.f64 #s(literal 1 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))) (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)) #s(literal 1/91125 binary64)) #s(literal -1/27 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)) (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 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #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))
(/.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)) #s(literal 1/91125 binary64)) #s(literal -1/27 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/135 binary64) (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 (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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 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 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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)) #s(literal 1/91125 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) (neg.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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64)))))
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(/.f64 (-.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 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 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)) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))))
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(pow.f64 (/.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 -1 binary64))
(pow.f64 (/.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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 binary64))) (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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2025 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))) #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)) #s(literal 1 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)) #s(literal 1/91125 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)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) #s(literal 0 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 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))))

simplify533.0ms (2.8%)

Memory

27.0MiB live, 896.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 946×	`accelerator-lowering-fma.f32`
21 946×	`accelerator-lowering-fma.f64`
4 340×	`-lowering-.f32`
4 340×	`-lowering-.f64`
2 080×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1978
1	416	1978
2	1053	1978
3	2592	1974
4	5115	1974
0	9198	1783

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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)))))
(* 1/135 (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)))))
1/27
(+ 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)))))
1/3
(+ 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)
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)))))
-1/9
(- (* 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)
(* 1/27 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)))))
(* 1/45 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)
(* 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 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
(- (* 1/45 (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)))))

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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/135 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/135 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* 1/2025 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2025 binary64)) #s(literal -1/135 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/135 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/135 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(* 1/135 (pow x 2))
(.f64 (.f64 x 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 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)))
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* 1/91125 (pow x 6))
(.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* 1/91125 (pow x 6))
(.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/27 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 (* 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))
(* 1/3 x)
(*.f64 x #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)))
(* 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)))
(* 1/45 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)
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(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/27 x)
(*.f64 x #s(literal 1/27 binary64))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* 1/91125 (pow x 7))
(.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* 1/91125 (pow x 7))
(.f64 #s(literal 1/91125 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/27 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))
(* 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 x)
(*.f64 x #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)))
(* 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)
(- (* 1/45 (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 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))

eval279.0ms (1.5%)

Memory: -6.6MiB live, 376.3MiB allocated
Compiler: Compiled 70 041 to 3 725 computations (94.7% saved)

prune132.0ms (0.7%)

Memory

27.4MiB live, 271.9MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 601	7	1 608
Fresh	4	2	6
Picked	2	3	5
Done	0	1	1
Total	1 607	13	1 620

Accuracy

100.0%

Counts

1 620 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
▶	99.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
	99.3%	(/.f64 (.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 x #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 x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64)) #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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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)))))
	99.4%	(/.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)))
▶	98.6%	(/.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) #s(literal 1/9 binary64))
	99.1%	(/.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)))))
▶	99.5%	(.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)) #s(literal 1/91125 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 #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)))))
▶	99.2%	(.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 (/.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))) x))
✓	99.5%	(.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)))
✓	99.4%	(.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)))
✓	99.3%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
	99.3%	(.f64 x (.f64 #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)))))
✓	98.4%	(*.f64 #s(literal 1/3 binary64) x)

Compiler

Compiled 546 to 258 computations (52.7% saved)

simplify146.0ms (0.8%)

Memory

-14.9MiB live, 139.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	320	(*.f64 (/.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))) x)
✓	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 x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(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))
✓	cost-diff	704	(/.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) #s(literal 1/9 binary64))
✓	cost-diff	-64	(.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	64	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
✓	cost-diff	384	(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
✓	cost-diff	-64	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	-64	(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	384	(fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 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 x x #s(literal 0 binary64))
✓	cost-diff	0	(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)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))
✓	cost-diff	832	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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)))

Rules

2 702×	`accelerator-lowering-fma.f32`
2 702×	`accelerator-lowering-fma.f64`
1 806×	`-lowering-.f32`
1 806×	`-lowering-.f64`
934×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	360
1	142	296
2	322	264
3	900	264
4	1547	262
5	1774	262
6	2121	262
7	2336	262
8	2414	262
9	2434	262
10	2474	262
11	2474	262
12	2474	262
13	2476	262
14	2476	262
15	2980	262
16	3063	262
17	3063	262
18	3063	262
0	3063	238

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27) (/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))))
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27)
(+ (* x x) 0)
x
0
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
1/91125
1/27
(/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)))
(+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))
-1/135
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)
1/2025
1/9
(+ (* (* x (+ (* x x) 0)) 1/45) (* x 1/3))
(* x (+ (* x x) 0))
x
(+ (* x x) 0)
0
1/45
(* x 1/3)
1/3
(+ (* (* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45))) x) (* 1/3 x))
(* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45)))
x
(* x (+ (* (+ (* x x) 0) 2/945) 1/45))
(+ (* (+ (* x x) 0) 2/945) 1/45)
(+ (* x x) 0)
0
2/945
1/45
(* 1/3 x)
1/3
(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) 1/9)
(* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)
(+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)
1/91125
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(+ (* x x) 0)
x
0
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
1/27
1/9
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) 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
(* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x)
(/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))
1
(+ (* x (+ (* x 1/45) 0)) -1/3)
(+ (* x 1/45) 0)
1/45
-1/3

Outputs
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27) (/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))))
(fma.f64 x (/.f64 (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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 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))) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27)
(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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)
(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 1/91125 binary64) #s(literal 0 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))
1/91125
#s(literal 1/91125 binary64)
1/27
#s(literal 1/27 binary64)
(/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)))
(/.f64 x (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) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))
(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))
-1/135
#s(literal -1/135 binary64)
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)
(fma.f64 x (fma.f64 #s(literal 1/2025 binary64) (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)
1/9
#s(literal 1/9 binary64)
(+ (* (* x (+ (* x x) 0)) 1/45) (* x 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) 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)
1/45
#s(literal 1/45 binary64)
(* x 1/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* (* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45))) x) (* 1/3 x))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))
x
(* x (+ (* (+ (* x x) 0) 2/945) 1/45))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) 2/945) 1/45)
(fma.f64 x (*.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
2/945
#s(literal 2/945 binary64)
1/45
#s(literal 1/45 binary64)
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) 1/9)
(fma.f64 x (fma.f64 x (fma.f64 (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 1/10125 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)
(fma.f64 x (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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)) #s(literal 0 binary64))
(+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)
(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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64))
1/91125
#s(literal 1/91125 binary64)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(fma.f64 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)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 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))
1/27
#s(literal 1/27 binary64)
1/9
#s(literal 1/9 binary64)
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 #s(literal 1/2025 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 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))) #s(literal 0 binary64))
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
(fma.f64 x (fma.f64 #s(literal 1/2025 binary64) (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)
(* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x)
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3))
(/.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)))
1
#s(literal 1 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)

localize302.0ms (1.6%)

Memory

13.5MiB live, 366.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.7%	(*.f64 (/.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))) x)
✓	accuracy	99.6%	(fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64))
✓	accuracy	99.6%	(.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 (/.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))) x))
✓	accuracy	99.9%	(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))
✓	accuracy	99.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.5%	(/.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) #s(literal 1/9 binary64))
✓	accuracy	99.4%	(*.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)
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64))))
✓	accuracy	99.6%	(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.8%	(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64))
✓	accuracy	99.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.5%	(/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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))))
✓	accuracy	99.5%	(.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)) #s(literal 1/91125 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 #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)))))

Samples

72.0ms	147×	0	valid
57.0ms	40×	1	valid
55.0ms	45×	3	valid
25.0ms	24×	2	valid

Compiler

Compiled 417 to 53 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 92.0ms (53% of total)

const: 36.0ms (20.7% of total)

ival-add: 24.0ms (13.8% of total)

adjust: 12.0ms (6.9% of total)

ival-div: 8.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

23 → 276

Calls

Call 1

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

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 1/27>
#<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 (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 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/3 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 (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 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 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 1/45>
#<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 (* 1/45 (pow x 2))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* (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 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 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 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/10125 (pow x 6))))>
#<alt (* x (+ 1/3 (* 1/10125 (pow x 6))))>
#<alt (* x (+ 1/3 (* 1/10125 (pow x 6))))>
#<alt (* 1/10125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<alt (* 1/10125 (pow x 7))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))>
#<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 (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (* -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 -1/9>
#<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 (* 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 (* 9 x)>
#<alt (* x (+ 9 (* 3/5 (pow x 2))))>
#<alt (* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))>
#<alt (* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))>
#<alt (/ 2025 (pow x 3))>
#<alt (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))>
#<alt (/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))>
#<alt (/ 2025 (pow x 3))>
#<alt (/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<alt (* 1/91125 (pow x 4))>
#<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 (* 1/45 x)>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* x (+ 1/45 (* 2/945 (pow x 2))))>
#<alt (* 2/945 (pow x 3))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 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 (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))>
#<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 (* 1/3 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)>

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (* x (+ (* x x) 0)) 1/45) (* x 1/3))
0.0ms	x	@	-inf	(/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)))
0.0ms	x	@	-inf	(* x (+ (* x x) 0))
0.0ms	x	@	0	(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) 1/9)
0.0ms	x	@	inf	(* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x)

rewrite1.3s (6.8%)

Memory

-0.8MiB live, 819.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 676×	`accelerator-lowering-fma.f32`
6 676×	`accelerator-lowering-fma.f64`
3 844×	`-lowering-.f32`
3 844×	`-lowering-.f64`
3 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	243
1	335	187
2	2811	187
0	8811	167

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 960

Calls

Call 1

Inputs
(+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))
(+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27)
(+ (* x x) 0)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(+ (* (* x (+ (* x x) 0)) 1/45) (* x 1/3))
(* x (+ (* x x) 0))
(* x 1/3)
(+ (* (* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45))) x) (* 1/3 x))
(+ (* (+ (* x x) 0) 2/945) 1/45)
(* x (* x (+ (* (+ (* x x) 0) 2/945) 1/45)))
(/ (* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x) 1/9)
(+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x)
(+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9)
(* (+ (* (+ (* x x) 0) (* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)) 1/27) (/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9))))
(/ x (+ (* (+ (* x x) 0) -1/135) (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 1/9)))
(* (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0) 1/91125)
(* 1/3 x)
(* x (+ (* (+ (* x x) 0) 2/945) 1/45))
(* (+ (* 1/91125 (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)) 1/27) x)
(* (+ (* 1/2025 (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) -1/9) (* (/ 1 (+ (* x (+ (* x 1/45) 0)) -1/3)) x))
(+ (* x 1/45) 0)

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

simplify444.0ms (2.3%)

Memory

9.6MiB live, 571.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 748×	`accelerator-lowering-fma.f32`
6 748×	`accelerator-lowering-fma.f64`
3 224×	`-lowering-.f32`
3 224×	`-lowering-.f64`
2 594×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1876
1	533	1875
2	1295	1869
3	3010	1866
4	6638	1866
0	8151	1739

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)))))
1/27
(+ 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)))))
(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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/3 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)))))
(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 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 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)))
1/45
(+ 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)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* (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 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 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 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/10125 (pow x 6))))
(* x (+ 1/3 (* 1/10125 (pow x 6))))
(* x (+ 1/3 (* 1/10125 (pow x 6))))
(* 1/10125 (pow x 7))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
(* 1/10125 (pow x 7))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/10125 (* 1/3 (/ 1 (pow x 6)))))
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)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -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))
-1/9
(- (* 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)))))
(* 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)))))
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 1/91125 (pow x 4))
(* 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)
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 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)))))
(* 1/3 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)

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 (.f64 x 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 (.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)) #s(literal 1/9 binary64))
(* 1/2025 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -1/135 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
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(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (+.f64 #s(literal 45 binary64) (/.f64 (+.f64 #s(literal 675 binary64) (/.f64 #s(literal 10125 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (+.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 10125 binary64) (/.f64 #s(literal 151875 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/2025 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/2025 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2025 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(* 1/3 x)
(*.f64 x #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)))
(* 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 (*.f64 x 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 (*.f64 x 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)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* 3/5 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 3/5 binary64)) #s(literal 9 binary64)))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/375 binary64) #s(literal 3/5 binary64)) #s(literal 9 binary64)))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -1/5625 binary64) #s(literal -1/375 binary64)) #s(literal 3/5 binary64)) #s(literal 9 binary64)))
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (.f64 x (.f64 x x)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (/.f64 #s(literal -6834375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -6834375 binary64) (/.f64 #s(literal -102515625 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (.f64 x (.f64 x x)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (/.f64 #s(literal -6834375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x x)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 #s(literal -6834375 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (+.f64 #s(literal 2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x))) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64))))) (.f64 x (.f64 x x)))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/91125 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/91125 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/45 x)
(*.f64 x #s(literal 1/45 binary64))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 2/945 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/945 binary64))))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64)))
(* 1/27 x)
(*.f64 x #s(literal 1/27 binary64))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* 1/91125 (pow x 7))
(.f64 x (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* 1/91125 (pow x 7))
(.f64 x (.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(.f64 x (fma.f64 #s(literal 1/91125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/27 binary64)))
(* 1/3 x)
(*.f64 x #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)))
(* 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 (*.f64 x 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 (*.f64 x 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 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))

eval321.0ms (1.7%)

Memory: 13.1MiB live, 508.1MiB allocated
Compiler: Compiled 94 877 to 5 357 computations (94.4% saved)

prune209.0ms (1.1%)

Memory

-17.2MiB live, 354.9MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 984	8	1 992
Fresh	2	2	4
Picked	5	0	5
Done	0	4	4
Total	1 991	14	2 005

Accuracy

100.0%

Counts

2 005 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 #s(literal 1/3 binary64) x))
	99.3%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
	99.4%	(/.f64 (*.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)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
	98.6%	(/.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 1/9 binary64))
	99.1%	(/.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)))))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 binary64)))))
	98.7%	(.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)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (/.f64 x #s(literal 1/9 binary64)))
	98.4%	(.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)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (*.f64 x #s(literal 9 binary64)))
✓	99.5%	(.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)))
✓	99.4%	(.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)))
✓	99.3%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
	99.3%	(.f64 x (.f64 #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)))))
✓	98.4%	(*.f64 #s(literal 1/3 binary64) x)
	99.2%	(.f64 #s(literal -1/9 binary64) (.f64 (/.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))) x))

Compiler

Compiled 897 to 261 computations (70.9% saved)

regimes17.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

31 → 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 1/27 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)))
(fma.f64 (.f64 (.f64 x x) #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))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.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 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)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal -1/9 binary64) (.f64 (/.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))) x))
(.f64 x (.f64 #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)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
(.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 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)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (*.f64 x #s(literal 9 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)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (/.f64 x #s(literal 1/9 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) #s(literal 1/9 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 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)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(.f64 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 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 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 (/.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))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 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))
(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)))))))
(.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)) #s(literal 1/91125 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 #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 (.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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 (.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 x #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 x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8303765625 binary64)) #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)) #s(literal 1/91125 binary64)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/135 binary64) (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 x (/.f64 (fma.f64 (.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 x (fma.f64 x #s(literal 2/945 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 -1/3 binary64)) (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 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/2025 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))))))

Outputs

(*.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)) #s(literal 1/91125 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 #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)))))

Calls

2 calls:

8.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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)

regimes18.0ms (0.1%)

Memory

-17.0MiB live, 20.5MiB allocated

Counts

26 → 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 1/27 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)))
(fma.f64 (.f64 (.f64 x x) #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))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.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 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)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal -1/9 binary64) (.f64 (/.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))) x))
(.f64 x (.f64 #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)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))
(.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 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)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (*.f64 x #s(literal 9 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)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (/.f64 x #s(literal 1/9 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) #s(literal 1/9 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 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)) x) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 binary64)))
(.f64 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 binary64) (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal -1/3 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 (/.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))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 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)) #s(literal 1/91125 binary64) #s(literal 0 binary64)) #s(literal 1/27 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))
(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)))))))

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:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
7.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	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)

regimes8.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

13 → 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 1/27 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)))
(fma.f64 (.f64 (.f64 x x) #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))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.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 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)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 #s(literal 1/3 binary64) x))
(.f64 #s(literal -1/9 binary64) (.f64 (/.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))) x))
(.f64 x (.f64 #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)))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2/945 binary64) #s(literal 1/45 binary64)))) x (*.f64 #s(literal 1/3 binary64) x))

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 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)

regimes6.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

9 → 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 1/27 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)))
(fma.f64 (.f64 (.f64 x x) #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))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.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 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:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 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)

regimes9.0ms (0%)

Memory

-29.1MiB live, 8.6MiB allocated

Counts

7 → 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 1/27 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)))
(fma.f64 (.f64 (.f64 x x) #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))) #s(literal 1/45 binary64) (.f64 x #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/45 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) x (*.f64 #s(literal 1/3 binary64) x))

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

Calls

2 calls:

6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
3.0ms	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

6.6MiB live, 6.5MiB allocated

Counts

4 → 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 1/27 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)))

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 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)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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
98.4%	1	`x`
98.4%	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)

simplify8.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	107
1	46	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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)) #s(literal 1/91125 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 #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 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)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.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)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.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 #s(literal 1/3 binary64) x)

Outputs
(.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)) #s(literal 1/91125 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 #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 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)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/945 binary64)) #s(literal 1/45 binary64))) x (.f64 x #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)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 x #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))

soundness1.3s (6.7%)

Memory

-16.3MiB live, 703.2MiB 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`
6 748×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	296
1	391	202
2	3928	202
0	8499	177
0	200	1876
1	533	1875
2	1295	1869
3	3010	1866
4	6638	1866
0	8151	1739
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 284 to 148 computations (47.9% saved)

preprocess134.0ms (0.7%)

Memory: 14.5MiB live, 91.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 612 to 238 computations (61.1% 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 (49.6%)

preprocess57.0ms (0.3%)

explain458.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize198.0ms (1%)

series4.0ms (0%)

rewrite209.0ms (1.1%)

simplify726.0ms (3.8%)

eval179.0ms (0.9%)

prune38.0ms (0.2%)

simplify51.0ms (0.3%)

localize94.0ms (0.5%)

series10.0ms (0.1%)

rewrite571.0ms (3%)

simplify445.0ms (2.3%)

eval190.0ms (1%)

prune165.0ms (0.9%)

simplify336.0ms (1.8%)

localize244.0ms (1.3%)

series14.0ms (0.1%)

rewrite421.0ms (2.2%)

simplify533.0ms (2.8%)

eval279.0ms (1.5%)

prune132.0ms (0.7%)

simplify146.0ms (0.8%)

localize302.0ms (1.6%)

series10.0ms (0.1%)

rewrite1.3s (6.8%)

simplify444.0ms (2.3%)

eval321.0ms (1.7%)

prune209.0ms (1.1%)

regimes17.0ms (0.1%)

regimes18.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes9.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0%)

soundness1.3s (6.7%)

preprocess134.0ms (0.7%)

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