Metrics for tanhf (example 3.4)

analyze112.0ms (1.2%)

Memory

19.4MiB live, 136.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (19.6%)

Memory

39.5MiB live, 1 752.7MiB allocated

Samples

635.0ms	2 254×	2	valid
474.0ms	4 142×	0	valid
255.0ms	650×	3	valid
113.0ms	1 207×	1	valid
3.0ms	3×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 772.0ms (61.7% of total)

ival-sin: 190.0ms (15.2% of total)

ival-div: 109.0ms (8.7% of total)

ival-sub: 89.0ms (7.1% of total)

adjust: 75.0ms (6% of total)

exact: 9.0ms (0.7% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess52.0ms (0.6%)

Memory

-16.6MiB live, 83.5MiB allocated

Algorithm

2×	egg-herbie

Rules

204×	`accelerator-lowering-fma.f32`
204×	`accelerator-lowering-fma.f64`
140×	`-lowering-.f32`
140×	`-lowering-.f64`
110×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- 1 (cos x)) (sin x))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))

Call 2

Inputs
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))

Outputs
(/ (- 1 (cos x)) (sin x))
(tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(tan (* x 1/2))

Symmetry

(negabs x)

explain149.0ms (1.7%)

Memory

13.7MiB live, 170.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	2	(3.691217760668052e+215)	0	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
50	0	-	6	(3.212764708678335e-155)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	84	6
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`	u/n	44	0
↳	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	underflow	44

Confusion

	Predicted +	Predicted -
+	126	0
-	2	128

Precision

0.984375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	2	6	122

Precision?

0.9402985074626866

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	274×	0	valid
31.0ms	122×	2	valid
27.0ms	80×	1	valid
11.0ms	36×	3	valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-cos: 54.0ms (63.2% of total)

ival-sin: 15.0ms (17.5% of total)

ival-div: 6.0ms (7% of total)

adjust: 5.0ms (5.8% of total)

ival-sub: 5.0ms (5.8% of total)

exact: 1.0ms (1.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Rules

2×	`/-lowering-/.f32`
2×	`tan-lowering-tan.f32`
2×	`/-lowering-/.f64`
2×	`tan-lowering-tan.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	4	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)
x
2

Outputs
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize20.0ms (0.2%)

Memory

-4.9MiB live, 33.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-tan: 7.0ms (77.5% of total)

ival-div: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (tan (/ x 2))>
#<alt (/ x 2)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ x 2)
1.0ms	x	@	inf	(tan (/ x 2))
0.0ms	x	@	-inf	(tan (/ x 2))
0.0ms	x	@	0	(tan (/ x 2))
0.0ms	x	@	-inf	(/ x 2)

rewrite281.0ms (3.1%)

Memory

2.4MiB live, 277.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 708×	`accelerator-lowering-fma.f32`
3 708×	`accelerator-lowering-fma.f64`
2 784×	`-lowering-.f32`
2 784×	`-lowering-.f64`
2 350×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	17	7
2	49	7
3	186	7
4	886	7
0	8094	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 432

Calls

Call 1

Inputs
(tan (/ x 2))
(/ x 2)

Outputs
(+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 #s(literal 0 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
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(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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(.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
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(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
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(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
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(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
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(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) x)
(.f64 (.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
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(.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
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(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x x)) x)

simplify42.0ms (0.5%)

Memory

-0.3MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 312×	`accelerator-lowering-fma.f32`
1 312×	`accelerator-lowering-fma.f64`
402×	`-lowering-.f32`
402×	`-lowering-.f64`
256×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	73	156
2	190	156
3	441	156
4	653	156
5	711	156
6	714	156
0	714	150

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)

eval61.0ms (0.7%)

Memory: -8.9MiB live, 111.0MiB allocated
Compiler: Compiled 6 148 to 1 107 computations (82% saved)

prune51.0ms (0.6%)

Memory

-12.6MiB live, 108.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	454	2	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	454	3	457

Accuracy

100.0%

Counts

457 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
▶	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	20	32
2	27	32
3	31	32
0	31	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/2 x)
1/2
x
(* x (+ 1/2 (* x (* x 1/24))))
x
(+ 1/2 (* x (* x 1/24)))
1/2
(* x (* x 1/24))
(* x 1/24)
1/24

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* x (+ 1/2 (* x (* x 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
x
(+ 1/2 (* x (* x 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* x (* x 1/24))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize29.0ms (0.3%)

Memory

11.6MiB live, 50.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-mult: 6.0ms (54.7% of total)

const: 3.0ms (27.4% of total)

ival-add: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* x (* x 1/24))))>
#<alt (+ 1/2 (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* x 1/24)>

Outputs
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 1/2 (* x (* x 1/24))))
1.0ms	x	@	inf	(* x (+ 1/2 (* x (* x 1/24))))
0.0ms	x	@	0	(* x (+ 1/2 (* x (* x 1/24))))
0.0ms	x	@	inf	(* x (* x 1/24))
0.0ms	x	@	-inf	(* x 1/24)

rewrite477.0ms (5.3%)

Memory

-7.5MiB live, 663.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 928×	`accelerator-lowering-fma.f32`
11 928×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
3 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	35	27
2	219	27
3	1790	27
0	8494	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 254

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* x (* x 1/24))))
(+ 1/2 (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x)))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) (.f64 x (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)) #s(literal -1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) x)))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (.f64 x x))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
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(.f64 x (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 1/24 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) x)
(.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 x #s(literal 1/24 binary64)))))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/24 binary64)))) (exp.f64 (log.f64 x)))
(.f64 (exp.f64 (log.f64 #s(literal 1/24 binary64))) (.f64 x x))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify472.0ms (5.2%)

Memory

-29.4MiB live, 398.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 632×	`-lowering-.f32`
6 632×	`-lowering-.f64`
4 134×	`cube-prod`
3 308×	`pow-lowering-pow.f64`
3 308×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	300
1	51	300
2	106	300
3	227	300
4	522	300
5	1554	300
6	1723	300
7	1945	300
8	2231	300
9	2616	300
10	3071	300
11	3638	300
12	3891	300
13	4055	300
14	4163	300
15	4278	300
16	4412	300
17	5141	300
18	6166	300
19	6603	300
20	6817	300
21	6926	300
22	7033	300
23	7157	300
24	7277	300
25	7379	300
26	7481	300
27	7583	300
28	7627	300
0	8324	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval38.0ms (0.4%)

Memory: 23.0MiB live, 59.8MiB allocated
Compiler: Compiled 11 271 to 816 computations (92.8% saved)

prune39.0ms (0.4%)

Memory

-19.4MiB live, 101.8MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	309	5	314
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	309	8	317

Accuracy

100.0%

Counts

317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
▶	48.8%	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
▶	47.8%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))))
✓	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
▶	48.1%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
▶	47.9%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 471 to 210 computations (55.4% saved)

simplify453.0ms (5%)

Memory

30.8MiB live, 582.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	128	(.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/24 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))

Rules

13 910×	`accelerator-lowering-fma.f32`
13 910×	`accelerator-lowering-fma.f64`
6 880×	`+-lowering-+.f64`
6 880×	`+-lowering-+.f32`
3 858×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	930
1	210	813
2	934	811
3	3601	801
4	7829	801
0	8235	721

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 0 x) (- 0 (/ 1 (+ 1/2 (* x (* x 1/24))))))
(- 0 x)
0
x
(- 0 (/ 1 (+ 1/2 (* x (* x 1/24)))))
(/ 1 (+ 1/2 (* x (* x 1/24))))
1
(+ 1/2 (* x (* x 1/24)))
1/2
(* x (* x 1/24))
(* x 1/24)
1/24
(+ (* x (* x (* x 1/24))) (* 1/2 x))
(* x (* x (* x 1/24)))
x
(* x (* x 1/24))
(* x 1/24)
1/24
(* 1/2 x)
1/2
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
1/4
(* (* x (* x (* x x))) -1/576)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/576
(+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))
1/8
(* (* (* x (* x x)) (* x (* x x))) -1/13824)
(* (* x (* x x)) (* x (* x x)))
-1/13824
(+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))
(* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))
(* x (* x 1/24))
(* x 1/24)
1/24
(+ 1/2 (* x (* x 1/24)))
1/2
(* x (* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))))
x
(* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))))
(/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))
1/8
(* (* x (* x x)) (* (* x (* x x)) 1/13824))
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1/16
(* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))
(* (* x x) (* (* x x) 1/576))
(* (* x x) 1/576)
1/576
(* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))
(+ (* x (* x 1/24)) -1/2)
(* x (* x 1/24))
(* x 1/24)
1/24
-1/2
(- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))
1/4
(* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) -1/2))
(* (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))) (+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))))
(/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))))
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x
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(* x (* x x))
(* x x)
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(+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))
1/64
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(* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))
(+ (* x (* x 1/24)) -1/2)
(* x (* x 1/24))
(* x 1/24)
1/24
-1/2
(* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))
(+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4)))
1/16
(* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))
(* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))
(* x (+ (* x (* x 1/24)) -1/2))
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-1/4

Outputs
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1
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1/2
#s(literal 1/2 binary64)
(* x (* x 1/24))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
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1/24
#s(literal 1/24 binary64)
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(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
x
(* x (* x 1/24))
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1/24
#s(literal 1/24 binary64)
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1/2
#s(literal 1/2 binary64)
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1/4
#s(literal 1/4 binary64)
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#s(literal 1/8 binary64)
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1/24
#s(literal 1/24 binary64)
(+ 1/2 (* x (* x 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
1/2
#s(literal 1/2 binary64)
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x
(* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))))
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1/8
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(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
1/13824
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1/16
#s(literal 1/16 binary64)
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1/576
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(* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))
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1/24
#s(literal 1/24 binary64)
-1/2
#s(literal -1/2 binary64)
(- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))
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x
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#s(literal 1/8 binary64)
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(+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))
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#s(literal 1/16 binary64)
(* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))
(.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)))
(* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))
(.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(* x (+ (* x (* x 1/24)) -1/2))
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4)
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize289.0ms (3.2%)

Memory

-6.4MiB live, 455.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
✓	accuracy	59.6%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))))
✓	accuracy	50.5%	(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.1%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
✓	accuracy	68.2%	(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
✓	accuracy	52.3%	(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))
✓	accuracy	99.6%	(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	68.2%	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
✓	accuracy	55.2%	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))

Samples

140.0ms

256×

valid

Compiler

Compiled 1 118 to 64 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 41.0ms (37.6% of total)

ival-div: 29.0ms (26.6% of total)

const: 19.0ms (17.4% of total)

ival-add: 14.0ms (12.8% of total)

ival-sub: 5.0ms (4.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series45.0ms (0.5%)

Memory

-3.0MiB live, 35.3MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ (- 0 x) (- 0 (/ 1 (+ 1/2 (* x (* x 1/24))))))>
#<alt (- 0 (/ 1 (+ 1/2 (* x (* x 1/24)))))>
#<alt (- 0 x)>
#<alt (/ 1 (+ 1/2 (* x (* x 1/24))))>
#<alt (+ (* x (* x (* x 1/24))) (* 1/2 x))>
#<alt (* x (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* x 1/24)>
#<alt (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))>
#<alt (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))))>
#<alt (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))))>
#<alt (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))>
#<alt (* x (* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))))>
#<alt (* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))))>
#<alt (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))>
#<alt (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))>
#<alt (* (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))) (+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))))>
#<alt (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))))>
#<alt (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))))>
#<alt (* 1/2 x)>
#<alt (* (* (* x (* x x)) (* x (* x x))) -1/13824)>
#<alt (* (* x (* x x)) 1/13824)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -2>
#<alt (- (* 1/6 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) 2)>
#<alt (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/864 (pow x 2)) 1/72)))) 2)>
#<alt (/ -24 (pow x 2))>
#<alt (/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))>
#<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 2>
#<alt (+ 2 (* -1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/48 (pow x 2))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))>
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (+ 1/72 (* -1/864 (pow x 2)))))>
#<alt (+ 2 (* (pow x 4) (+ 1/72 (* (pow x 2) (- (* 1/5184 (pow x 2)) 1/864)))))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* 1/108 (pow x 6))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x (* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))))
2.0ms	x	@	0	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))))
2.0ms	x	@	inf	(* (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))) (+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))))
2.0ms	x	@	0	(* (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))) (+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))))
1.0ms	x	@	inf	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))))

rewrite532.0ms (5.9%)

Memory

-7.1MiB live, 802.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 868×	`accelerator-lowering-fma.f32`
5 868×	`accelerator-lowering-fma.f64`
5 332×	`-lowering-.f32`
5 332×	`-lowering-.f64`
2 256×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	416
1	404	343
2	4156	343
0	8232	311

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 711

Calls

Call 1

Inputs
(/ (- 0 x) (- 0 (/ 1 (+ 1/2 (* x (* x 1/24))))))
(- 0 (/ 1 (+ 1/2 (* x (* x 1/24)))))
(- 0 x)
(/ 1 (+ 1/2 (* x (* x 1/24))))
(+ (* x (* x (* x 1/24))) (* 1/2 x))
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)
(* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24)))))))
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* (* x (* x 1/24)) (+ 1/2 (* x (* x 1/24))))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))
(* x (* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))))))
(* (/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))) (- 1/4 (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2)))))
(/ (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))) (- 1/16 (* (* (* x x) (* (* x x) 1/576)) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))
(+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))
(* (/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2)))))) (+ 1/16 (* (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) (+ (* (* x 1/24) (* x (+ (* x (* x 1/24)) -1/2))) -1/4))))
(/ (* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824)))) (+ 1/64 (* (* (* x (* x x)) (* (* x (* x x)) 1/13824)) (* (+ (* x (* x 1/24)) -1/2) (* (+ (* x (* x 1/24)) -1/2) (+ (* x (* x 1/24)) -1/2))))))
(* x (+ 1/8 (* (* x (* x x)) (* (* x (* x x)) 1/13824))))
(* 1/2 x)
(* (* (* x (* x x)) (* x (* x x))) -1/13824)
(* (* x (* x x)) 1/13824)

Outputs
(+.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64) (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x x)))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x))))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
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(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64)) (.f64 (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 1/64 binary64) (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))))))
(+.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 x #s(literal 1/8 binary64)))
(fma.f64 x #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) x) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1/13824 binary64) x) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) x (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/13824 binary64) (*.f64 x #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/8 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/512 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/2641807540224 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x #s(literal 1/8 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))) (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))))) (-.f64 (.f64 x #s(literal 1/8 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/2641807540224 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/2641807540224 binary64)))) x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))) x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/13824 binary64))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal -1/13824 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 #s(literal -1/13824 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/13824 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(.f64 #s(literal 1/13824 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) x)
(.f64 (.f64 #s(literal 1/13824 binary64) x) (*.f64 x x))
(.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/24 binary64)))

simplify655.0ms (7.3%)

Memory

19.2MiB live, 618.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 594×	`accelerator-lowering-fma.f32`
7 594×	`accelerator-lowering-fma.f64`
3 736×	`-lowering-.f32`
3 736×	`-lowering-.f64`
2 498×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	2014
1	575	2014
2	1416	2005
3	3258	2004
4	7455	2004
0	8342	1884

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
-2
(- (* 1/6 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/864 (pow x 2)) 1/72)))) 2)
(/ -24 (pow x 2))
(/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))
(/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/ -24 (pow x 2))
(/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))
(/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6)))
(/ 24 (pow x 2))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* 1/72 (pow x 4)))
(+ 2 (* (pow x 4) (+ 1/72 (* -1/864 (pow x 2)))))
(+ 2 (* (pow x 4) (+ 1/72 (* (pow x 2) (- (* 1/5184 (pow x 2)) 1/864)))))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 576 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 576 (* 10368 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 10368 (* 207360 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 576 (/ 1 (pow x 2))))) (pow x 2))
1/8
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 8 x)
(* x (+ 8 (* 1/108 (pow x 6))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))
(* 1/8 x)
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
-2
#s(literal -2 binary64)
(- (* 1/6 (pow x 2)) 2)
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) 2)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/72 binary64)))) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/864 (pow x 2)) 1/72)))) 2)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/72 binary64) (.f64 (.f64 x x) #s(literal 1/864 binary64)))))) #s(literal -2 binary64))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ (- (* 288 (/ 1 (pow x 2))) 24) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 288 (/ 1 (pow x 2))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6)))) (+ 24 (/ 3456 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal 288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal -3456 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/72 binary64))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/72 binary64) (.f64 (.f64 x x) #s(literal -1/864 binary64)))))))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (/.f64 #s(literal -41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (/.f64 #s(literal -41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/48 (pow x 2))
(.f64 x (.f64 x #s(literal 1/48 binary64)))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(* 1/576 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/576 binary64)))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/48 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
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(.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* -1/13824 (pow x 6))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/13824 binary64))))

eval238.0ms (2.6%)

Memory: 17.7MiB live, 396.2MiB allocated
Compiler: Compiled 103 398 to 3 025 computations (97.1% saved)

prune113.0ms (1.3%)

Memory

-15.2MiB live, 236.0MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 433	3	1 436
Fresh	0	0	0
Picked	5	0	5
Done	0	3	3
Total	1 438	6	1 444

Accuracy

100.0%

Counts

1 444 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.2%	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
▶	49.4%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
✓	48.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
▶	48.2%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 81 to 51 computations (37% saved)

simplify284.0ms (3.1%)

Memory

26.2MiB live, 454.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 24 binary64) (*.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x)))
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))

Rules

7 708×	`accelerator-lowering-fma.f32`
7 708×	`accelerator-lowering-fma.f64`
5 108×	`-lowering-.f32`
5 108×	`-lowering-.f64`
1 964×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
1	84	177
2	228	176
3	518	174
4	1260	173
5	2907	173
6	6543	173
0	8269	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
1/4
(* (* x (* x (* x x))) -1/576)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/576
(+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))
1/8
(* (* (* x (* x x)) (* x (* x x))) -1/13824)
(* (* x (* x x)) (* x (* x x)))
-1/13824
(+ 1/4 (* x (* x 1/48)))
(* x (* x 1/48))
(* x 1/48)
1/48
(/ (- 0 x) (+ (* (* x x) 1/6) -2))
(- 0 x)
0
x
(+ (* (* x x) 1/6) -2)
(* (* x x) 1/6)
(* x x)
1/6
-2
(/ (- 0 x) (- 0 (/ 24 (* x x))))
(- 0 x)
0
x
(- 0 (/ 24 (* x x)))
(/ 24 (* x x))
24
(* x x)

Outputs
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48))))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/13824 binary64))))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x (* x (* x x))) -1/576)
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-1/576
#s(literal -1/576 binary64)
(+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/13824 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* (* x (* x x)) (* x (* x x))) -1/13824)
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))
(* (* x (* x x)) (* x (* x x)))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
-1/13824
#s(literal -1/13824 binary64)
(+ 1/4 (* x (* x 1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))
(* x (* x 1/48))
(.f64 (.f64 x x) #s(literal 1/48 binary64))
(* x 1/48)
(*.f64 x #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
(/ (- 0 x) (+ (* (* x x) 1/6) -2))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (* (* x x) 1/6) -2)
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* (* x x) 1/6)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
-2
#s(literal -2 binary64)
(/ (- 0 x) (- 0 (/ 24 (* x x))))
(/.f64 x (/.f64 #s(literal 24 binary64) (*.f64 x x)))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(- 0 (/ 24 (* x x)))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ 24 (* x x))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
24
#s(literal 24 binary64)
(* x x)
(*.f64 x x)

localize137.0ms (1.5%)

Memory

-29.6MiB live, 136.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
✓	accuracy	98.7%	(/.f64 #s(literal 24 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	74.8%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/48 binary64))
✓	accuracy	73.8%	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64)))))
✓	accuracy	55.2%	(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64))))

Samples

71.0ms

256×

valid

Compiler

Compiled 261 to 33 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 15.0ms (27% of total)

ival-mult: 15.0ms (27% of total)

const: 15.0ms (27% of total)

ival-div: 7.0ms (12.6% of total)

ival-sub: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

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

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

series7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))>
#<alt (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48))))>
#<alt (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))>
#<alt (+ 1/4 (* (* x (* x (* x x))) -1/576))>
#<alt (/ (- 0 x) (+ (* (* x x) 1/6) -2))>
#<alt (- 0 x)>
#<alt (+ (* (* x x) 1/6) -2)>
#<alt (* (* x x) 1/6)>
#<alt (/ (- 0 x) (- 0 (/ 24 (* x x))))>
#<alt (- 0 (/ 24 (* x x)))>
#<alt (/ 24 (* x x))>
#<alt (* x 1/48)>
#<alt (* (* (* x (* x x)) (* x (* x x))) -1/13824)>
#<alt (* x x)>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4))))>
#<alt (* x (- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (* 6 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 6 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))>
#<alt (- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 6 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))>
#<alt (- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))>
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) 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 -2>
#<alt (- (* 1/6 (pow x 2)) 2)>
#<alt (- (* 1/6 (pow x 2)) 2)>
#<alt (- (* 1/6 (pow x 2)) 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* 1/48 x)>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* -1/13824 (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)>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))
0.0ms	x	@	-inf	(/ (- 0 x) (+ (* (* x x) 1/6) -2))
0.0ms	x	@	inf	(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))
0.0ms	x	@	inf	(/ (- 0 x) (+ (* (* x x) 1/6) -2))
0.0ms	x	@	0	(/ 24 (* x x))

rewrite447.0ms (5%)

Memory

25.2MiB live, 570.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 628×	`/-lowering-/.f32`
4 628×	`/-lowering-/.f64`
3 810×	`-lowering-.f32`
3 810×	`-lowering-.f64`
2 872×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
1	187	122
2	1698	121
0	8599	111

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 862

Calls

Call 1

Inputs
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48)))))
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824))) (+ 1/4 (* x (* x 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (+ 1/8 (* (* (* x (* x x)) (* x (* x x))) -1/13824)))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(/ (- 0 x) (+ (* (* x x) 1/6) -2))
(- 0 x)
(+ (* (* x x) 1/6) -2)
(* (* x x) 1/6)
(/ (- 0 x) (- 0 (/ 24 (* x x))))
(- 0 (/ 24 (* x x)))
(/ 24 (* x x))
(* x 1/48)
(* (* (* x (* x x)) (* x (* x x))) -1/13824)
(* x x)

Outputs
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))) (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) #s(literal 1/4 binary64)) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (.f64 x x) #s(literal 1/48 binary64))))
(+.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (.f64 x x) #s(literal 1/48 binary64))) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) #s(literal 1/4 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) x) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))) x))
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))))
(fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) x (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) x))
(fma.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) #s(literal 1/4 binary64) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(fma.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (.f64 (.f64 x x) #s(literal 1/48 binary64)) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64))))))) #s(literal 1/4 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (.f64 x (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))) (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/2304 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) x)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
(/.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/110592 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))))))
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(.f64 (/.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 24 binary64))) (/.f64 (/.f64 #s(literal 576 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 576 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64)) (/.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 24 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 576 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 576 binary64)) (/.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 576 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 24 binary64))) (/.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 13824 binary64) (/.f64 #s(literal 24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 13824 binary64) (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 24 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 24 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 24 binary64)))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 24 binary64) (.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 576 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 24 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 x #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) x)
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/13824 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/13824 binary64))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal -1/13824 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 #s(literal -1/13824 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) #s(literal 0 binary64)) (.f64 x (.f64 x (.f64 x x))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify330.0ms (3.7%)

Memory

-17.3MiB live, 504.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 562×	`accelerator-lowering-fma.f32`
9 562×	`accelerator-lowering-fma.f64`
3 740×	`-lowering-.f32`
3 740×	`-lowering-.f64`
2 012×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1110
1	406	1110
2	1033	1105
3	2628	1092
4	6366	1092
0	8323	1044

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288))))))
(* 1/2 x)
(* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))
(* x (- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4))))
(* x (- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4))))
(* 1/2 x)
(* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (* 6 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288)))))
1/2
(+ 1/2 (* 6 (/ 1 (pow x 2))))
(- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))
(- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))
1/2
(+ 1/2 (* 6 (/ 1 (pow x 2))))
(- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))
(- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) 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)
-2
(- (* 1/6 (pow x 2)) 2)
(- (* 1/6 (pow x 2)) 2)
(- (* 1/6 (pow x 2)) 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ -24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(/ 24 (pow x 2))
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* 1/48 x)
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (pow x 6))
(* -1/13824 (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)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/288 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/288 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/41472 binary64))))))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 6 binary64) x))
(* x (- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal -72 binary64) (.f64 x (*.f64 x x))))
(* x (- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4))))
(+.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -72 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 6 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 6 binary64) x))
(* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (* 6 (/ 1 (pow x 2)))))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal -72 binary64) (.f64 x (*.f64 x x))))
(* -1 (* x (- (/ 72 (pow x 4)) (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))))))
(+.f64 (+.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -72 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/288 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/288 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/41472 (pow x 4)) 1/288)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/288 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/41472 binary64)))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))
(+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -72 binary64) (.f64 x (*.f64 x x))) x)))
(- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal -72 binary64) (.f64 x (.f64 x x))) x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(- (+ 1/2 (* 6 (/ 1 (pow x 2)))) (/ 72 (pow x 4)))
(+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -72 binary64) (.f64 x (*.f64 x x))) x)))
(- (+ 1/2 (+ (* 6 (/ 1 (pow x 2))) (* 10368 (/ 1 (pow x 8))))) (/ 72 (pow x 4)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 10368 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (/.f64 (/.f64 #s(literal -72 binary64) (.f64 x (.f64 x x))) x))))
2
#s(literal 2 binary64)
(+ 2 (* -1/72 (pow x 4)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/72 binary64))))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/72 binary64) (.f64 (.f64 x x) #s(literal 1/864 binary64)))))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/72 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/864 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/124416 binary64)))))))))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 24 binary64) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 41472 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* -1/576 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* -1/576 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/288 binary64))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/288 binary64) (.f64 (*.f64 x x) #s(literal 1/3456 binary64)))))))))
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 #s(literal -864 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -72 binary64) (*.f64 x x)))) x)
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -72 binary64) (/.f64 #s(literal -864 binary64) (.f64 x x))) (.f64 x x)) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -10368 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))))) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
-2
#s(literal -2 binary64)
(- (* 1/6 (pow x 2)) 2)
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(- (* 1/6 (pow x 2)) 2)
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(- (* 1/6 (pow x 2)) 2)
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* (pow x 2) (- 1/6 (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal -2 binary64))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* 1/48 x)
(*.f64 x #s(literal 1/48 binary64))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(* -1/13824 (pow x 6))
(.f64 #s(literal -1/13824 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval292.0ms (3.2%)

Memory: 21.3MiB live, 303.9MiB allocated
Compiler: Compiled 51 438 to 3 968 computations (92.3% saved)

prune224.0ms (2.5%)

Memory

-5.3MiB live, 412.6MiB allocated

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	1 258	32	1 290
Fresh	0	0	0
Picked	3	0	3
Done	1	2	3
Total	1 262	34	1 296

Accuracy

100.0%

Counts

1 296 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) x)
	31.9%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	49.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	49.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
	15.3%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	31.4%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	49.4%	(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	2.5%	(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	48.0%	(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
	31.8%	(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
	19.7%	(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)) (.f64 x x))))
	4.2%	(/.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
	49.4%	(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	49.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
	2.6%	(/.f64 #s(literal -6 binary64) x)
	31.7%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
	48.2%	(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))) x))
	47.8%	(.f64 (/.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/191102976 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
	49.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
	31.8%	(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)))
	48.2%	(.f64 x (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
	47.8%	(.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
	47.8%	(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64)))))))
	48.2%	(.f64 x (.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
	48.2%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
	31.0%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
	48.2%	(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
	2.9%	(.f64 x (.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
	2.9%	(.f64 x (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
	47.9%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
	47.8%	(.f64 x (.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/2641807540224 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
	48.2%	(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
✓	48.7%	(*.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))

Compiler

Compiled 2 365 to 818 computations (65.4% saved)

regimes33.0ms (0.4%)

Memory

28.8MiB live, 67.6MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) x)
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(.f64 x (.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))) x))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/191102976 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64)))))))
(.f64 x (.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/2641807540224 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))

Calls

2 calls:

13.0ms	x
11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes33.0ms (0.4%)

Memory

-44.4MiB live, 22.9MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 24 binary64) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) x)
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(.f64 x (.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64))) x))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))))
(.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 x (/.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64)))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))
(.f64 x (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))))
(.f64 (/.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/191102976 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/13824 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))))
(.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (*.f64 x #s(literal 1/48 binary64))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))))
(.f64 x (.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2304 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/191102976 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1/4 binary64)))))))
(.f64 x (.f64 (.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/512 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/2641807540224 binary64))))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/13824 binary64))) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal 1/48 binary64))))))

Outputs
(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
49.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))

Outputs
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
48.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total -30.2b remaining (-91.9%)

Threshold costs -30.2b (-91.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -6 binary64) x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Memory

-16.9MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	27	25
2	42	25
3	50	25
4	56	25
5	58	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness1.2s (13.8%)

Memory

27.2MiB live, 1 574.3MiB allocated

Rules

11 928×	`accelerator-lowering-fma.f32`
11 928×	`accelerator-lowering-fma.f64`
7 594×	`accelerator-lowering-fma.f32`
7 594×	`accelerator-lowering-fma.f64`
4 784×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	2014
1	575	2014
2	1416	2005
3	3258	2004
4	7455	2004
0	8342	1884
0	31	141
1	187	122
2	1698	121
0	8599	111
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4
0	8	27
1	35	27
2	219	27
3	1790	27
0	8494	25
0	26	156
1	73	156
2	190	156
3	441	156
4	653	156
5	711	156
6	714	156
0	714	150

Stop Event

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

Compiler

Compiled 93 to 66 computations (29% saved)

preprocess46.0ms (0.5%)

Memory: 13.6MiB live, 90.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 108 to 76 computations (29.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4

analyze112.0ms (1.2%)

sample1.8s (19.6%)

preprocess52.0ms (0.6%)

explain149.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite281.0ms (3.1%)

simplify42.0ms (0.5%)

eval61.0ms (0.7%)

prune51.0ms (0.6%)

simplify4.0ms (0%)

localize29.0ms (0.3%)

series4.0ms (0%)

rewrite477.0ms (5.3%)

simplify472.0ms (5.2%)

eval38.0ms (0.4%)

prune39.0ms (0.4%)

simplify453.0ms (5%)

localize289.0ms (3.2%)

series45.0ms (0.5%)

rewrite532.0ms (5.9%)

simplify655.0ms (7.3%)

eval238.0ms (2.6%)

prune113.0ms (1.3%)

simplify284.0ms (3.1%)

localize137.0ms (1.5%)

series7.0ms (0.1%)

rewrite447.0ms (5%)

simplify330.0ms (3.7%)

eval292.0ms (3.2%)

prune224.0ms (2.5%)

regimes33.0ms (0.4%)

regimes33.0ms (0.4%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify9.0ms (0.1%)

soundness1.2s (13.8%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	13
1	38	13
2	77	12
3	181	12
4	444	12
5	684	12
6	719	12
0	6	4
1	16	4
2	22	4
3	33	4
4	54	4
5	77	4
6	110	4
7	184	4
8	307	4
9	515	4
10	557	4
11	560	4
12	568	4
13	574	4
14	578	4
15	585	4
16	592	4
17	593	4
0	593	4