Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.5%)

Memory

-27.6MiB live, 12.1MiB 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
50%	50%	50%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.7s (33.1%)

Memory

19.3MiB live, 1 924.5MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 992.0ms

const: 533.0ms (53.7% of total)

ival-mult: 184.0ms (18.5% of total)

ival-add: 141.0ms (14.2% of total)

ival-div: 86.0ms (8.7% of total)

ival-sub: 35.0ms (3.5% of total)

ival-true: 5.0ms (0.5% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain244.0ms (4.8%)

Memory

-16.6MiB live, 231.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))`
0	-	-	`(*.f64 x #s(literal 4481/100000 binary64))`
0	-	-	`#s(literal 99229/100000 binary64)`
0	-	-	`(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`
0	-	-	`(*.f64 x #s(literal 27061/100000 binary64))`
0	-	-	`(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))`
0	-	-	`(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))`
0	-	-	`#s(literal 27061/100000 binary64)`
0	-	-	`#s(literal 4481/100000 binary64)`
0	-	-	`#s(literal 230753/100000 binary64)`
0	-	-	`x`
0	-	-	`(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

84.0ms

512×

valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

const: 46.0ms (68.2% of total)

ival-mult: 9.0ms (13.3% of total)

ival-add: 6.0ms (8.9% of total)

ival-div: 3.0ms (4.4% of total)

ival-sub: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess125.0ms (2.5%)

Memory

15.3MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 400×	`lower-fma.f64`
1 400×	`lower-fma.f32`
584×	`lower-*.f32`
578×	`lower-*.f64`
344×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	37	37
2	103	35
3	285	34
4	715	34
5	1276	34
6	1752	34
7	2396	34
8	2457	34
9	2488	34
10	2488	34
0	14	17
0	22	17
1	32	17
2	48	17
3	92	17
4	192	17
5	369	17
6	619	17
7	992	17
8	1578	17
9	2082	17
10	2240	17
11	2296	17
12	2329	17
13	2332	17
14	2332	17
0	2332	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Outputs

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Status

Accuracy

Program

▶

100.0%

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify69.0ms (1.4%)

Memory

-0.7MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
cost-diff	128	(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))
cost-diff	128	(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))

Rules

1 400×	`lower-fma.f64`
1 400×	`lower-fma.f32`
584×	`lower-*.f32`
578×	`lower-*.f64`
344×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	22	70
1	32	70
2	48	70
3	92	70
4	192	70
5	369	70
6	619	70
7	992	70
8	1578	70
9	2082	70
10	2240	70
11	2296	70
12	2329	70
13	2332	70
14	2332	70
0	2332	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
x
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
#s(literal 230753/100000 binary64)
(*.f64 x #s(literal 27061/100000 binary64))
#s(literal 27061/100000 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
#s(literal 99229/100000 binary64)
(*.f64 x #s(literal 4481/100000 binary64))
#s(literal 4481/100000 binary64)

Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
x
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)
#s(literal 27061/100000 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 99229/100000 binary64)
(*.f64 x #s(literal 4481/100000 binary64))
(*.f64 #s(literal 4481/100000 binary64) x)
#s(literal 4481/100000 binary64)

localize81.0ms (1.6%)

Memory

-8.1MiB live, 68.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
accuracy	0.33984375	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	0.4296875	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	15.528241500716888	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))

Samples

49.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

const: 11.0ms (50.7% of total)

ival-mult: 5.0ms (23.1% of total)

ival-add: 3.0ms (13.8% of total)

ival-div: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) (patch (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())

Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) (patch (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt 99229/100000 (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) (patch (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) (patch (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) (patch (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) (patch (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) (patch (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) (patch (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
2.0ms	x	@	-inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
1.0ms	x	@	0	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

Time

Variable

Point

Expression

2.0ms

inf

((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

2.0ms

-inf

((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

1.0ms

((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

simplify120.0ms (2.4%)

Memory

-2.5MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 368×	`lower-fma.f64`
9 368×	`lower-fma.f32`
2 950×	`lower-*.f64`
2 950×	`lower-*.f32`
1 702×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	568
1	360	560
2	869	556
3	2169	520
4	6809	520
0	8198	466

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))

Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 99229/100000 x)
(*.f64 #s(literal 99229/100000 binary64) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)

rewrite797.0ms (15.8%)

Memory

-129.3MiB live, 253.7MiB allocated

Rules

6 906×	`lower-fma.f64`
6 906×	`lower-fma.f32`
5 346×	`lower-*.f32`
5 340×	`lower-*.f64`
4 052×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	22	64
1	92	64
2	738	64
0	8420	53

Stop Event

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

Counts

8 → 471

Calls

Call 1

Inputs
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 x #s(literal 4481/100000 binary64))
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)

Outputs
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)))
(.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 6244406933/10000000000 binary64) x)))))
(.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)))
(*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (.f64 #s(literal 536259952181793841/100000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)) #s(literal -1 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)) #s(literal -1 binary64))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (fma.f64 #s(literal 536259952181793841/100000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 38992617944898466489/100000000000000000000 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 12286892763167777/1000000000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 243485773830944196124979768237/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 #s(literal 6244406933/10000000000 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))))) (-.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 27061/100000 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 19816708627981/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 732297721/10000000000 binary64) x) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
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(/.f64 (.f64 (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (.f64 (.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) #s(literal -9846394441/10000000000 binary64)) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) x) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) x)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))))) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) #s(literal -9846394441/10000000000 binary64))) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x))) (-.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 99229/100000 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)))) (-.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)))) (-.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (-.f64 (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 #s(literal 99229/100000 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (-.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))))
(/.f64 (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))))
(/.f64 (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) (.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) (.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 20079361/10000000000 binary64) x) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (.f64 x (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))))
(fma.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 4481/100000 binary64) (.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 (.f64 x x) #s(literal 4481/100000 binary64) (.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 (.f64 #s(literal 4481/100000 binary64) x) x (.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 (.f64 #s(literal 4481/100000 binary64) x) x (.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 #s(literal 4481/100000 binary64) (.f64 x x) (.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 #s(literal 4481/100000 binary64) (.f64 x x) (.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 #s(literal 99229/100000 binary64) x (.f64 (.f64 x x) #s(literal 4481/100000 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 99229/100000 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 99229/100000 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 99229/100000 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))))
(fma.f64 x (.f64 #s(literal 4481/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 x (.f64 #s(literal 4481/100000 binary64) x) (.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 x #s(literal 99229/100000 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64)))
(+.f64 (.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 4481/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 99229/100000 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 4481/100000 binary64))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 99229/100000 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64))))
(+.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 #s(literal 99229/100000 binary64) x))
(+.f64 (.f64 (.f64 x x) #s(literal 4481/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))
(+.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 (*.f64 x x) #s(literal 4481/100000 binary64)))

eval133.0ms (2.6%)

Memory: -13.2MiB live, 188.2MiB allocated
Compiler: Compiled 16 036 to 2 045 computations (87.2% saved)

prune65.0ms (1.3%)

Memory

-25.3MiB live, 173.9MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	559	6	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	6	566

Accuracy

100.0%

Counts

566 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
	50.6%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
▶	51.6%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	99.1%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
▶	58.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
▶	51.2%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 82 to 72 computations (12.2% saved)

simplify80.0ms (1.6%)

Memory

26.3MiB live, 65.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff	0	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
cost-diff	0	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
cost-diff	0	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
cost-diff	0	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
cost-diff	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
cost-diff	0	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

Rules

1 624×	`lower-fma.f32`
1 616×	`lower-fma.f64`
712×	`lower-*.f64`
712×	`lower-*.f32`
382×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	43	161
1	65	161
2	87	161
3	140	161
4	249	161
5	448	161
6	730	161
7	1130	161
8	1834	161
9	2392	161
10	2588	161
11	2662	161
12	2703	161
13	2711	161
14	2713	161
0	2713	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
#s(literal 30191289437/10000000000 binary64)
x
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)

Outputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
#s(literal 30191289437/10000000000 binary64)
x
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)

localize99.0ms (2%)

Memory

-9.1MiB live, 186.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy	0.2890625	(/.f64 #s(literal 27061/4481 binary64) x)
accuracy	31.390407506552215	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy	0.171875	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
accuracy	26.54314119656353	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
accuracy	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
accuracy	30.990350369180216	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
accuracy	31.254755280639486	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	0.22265625	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	15.528241500716888	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))

Samples

78.0ms

256×

valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

const: 20.0ms (34.5% of total)

ival-add: 17.0ms (29.3% of total)

ival-mult: 11.0ms (19% of total)

ival-sub: 5.0ms (8.6% of total)

ival-div: 4.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 30191289437/10000000000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ (* 4481/100000 x) 99229/100000))

1.0ms

-inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ (* 4481/100000 x) 99229/100000))

1.0ms

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ (* 4481/100000 x) 99229/100000))

simplify129.0ms (2.5%)

Memory

-9.3MiB live, 233.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 110×	`lower-fma.f64`
9 110×	`lower-fma.f32`
2 838×	`lower-*.f64`
2 838×	`lower-*.f32`
2 136×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1216
1	377	1192
2	922	1168
3	2301	996
4	7005	996
0	8033	906

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 146

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

rewrite172.0ms (3.4%)

Memory

8.6MiB live, 239.1MiB allocated

Rules

4 726×	`lower-/.f32`
4 722×	`lower-/.f64`
4 260×	`lower-fma.f32`
4 252×	`lower-fma.f64`
3 528×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	43	147
1	234	147
2	1485	147
0	8436	147

Stop Event

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

Counts

13 → 425

Calls

Call 1

Inputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

Outputs
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (.f64 x x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -2 binary64)) (.f64 x (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))) #s(literal -1 binary64))
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(.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))))))
(.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))))
(.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) #s(literal -9846394441/10000000000 binary64)) (pow.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 #s(literal 444645149/10000000000 binary64) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 #s(literal 444645149/10000000000 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 #s(literal 444645149/10000000000 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)))))
(/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 #s(literal 444645149/10000000000 binary64) x))))
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 (*.f64 #s(literal 4481/100000 binary64) x) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(fma.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(+.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x)))))
(+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))

eval104.0ms (2.1%)

Memory: -25.9MiB live, 181.4MiB allocated
Compiler: Compiled 13 452 to 1 614 computations (88% saved)

prune57.0ms (1.1%)

Memory

7.6MiB live, 122.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	569	2	571
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	570	7	577

Accuracy

100.0%

Counts

577 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
▶	51.7%	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
▶	50.6%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
✓	51.6%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	99.1%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	58.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
✓	51.2%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 55 to 47 computations (14.5% saved)

simplify136.0ms (2.7%)

Memory

8.1MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))
cost-diff	0	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
cost-diff	0	(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
cost-diff	0	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
cost-diff	0	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
cost-diff	0	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))

Rules

2 096×	`lower-fma.f32`
2 092×	`lower-fma.f64`
1 040×	`lower-*.f32`
1 038×	`lower-*.f64`
458×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	35	138
1	52	138
2	83	138
3	143	138
4	211	138
5	329	138
6	502	138
7	932	138
8	1851	138
9	2507	138
10	3184	138
11	3464	138
12	3636	138
13	3664	138
14	3714	138
15	3938	138
16	3938	138
17	3940	138
0	3940	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
#s(literal 27061/4481 binary64)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
#s(literal 1651231776/20079361 binary64)
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)

Outputs
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
#s(literal 27061/4481 binary64)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
#s(literal 1651231776/20079361 binary64)
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)

localize76.0ms (1.5%)

Memory

18.6MiB live, 92.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	0.22265625	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	15.528241500716888	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))
accuracy	30.915469749394173	#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))
accuracy	0.01171875	(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
accuracy	0.2109375	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
accuracy	0.40625	(/.f64 #s(literal 1651231776/20079361 binary64) x)
accuracy	31.840125397658273	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))

Samples

64.0ms

256×

valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

const: 39.0ms (71.5% of total)

ival-div: 5.0ms (9.2% of total)

ival-mult: 5.0ms (9.2% of total)

ival-add: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-17.6MiB live, 20.2MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (patch (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (patch (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (patch (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (patch (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) x) (taylor 0 x) (#s(alt (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (patch (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (/ 1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ 1651231776/20079361 x) (+ (* 4481/100000 x) 99229/100000))

1.0ms

-inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ 1651231776/20079361 x) (+ (* 4481/100000 x) 99229/100000))

1.0ms

inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (/ 1651231776/20079361 x) (+ (* 4481/100000 x) 99229/100000))

simplify141.0ms (2.8%)

Memory

2.1MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 864×	`lower-fma.f64`
9 864×	`lower-fma.f32`
3 024×	`lower-*.f64`
3 024×	`lower-*.f32`
1 764×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	860
1	374	844
2	899	764
3	2227	716
4	6897	716
0	8193	659

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(/ -1651231776/20079361 (pow x 2))
(/.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 #s(literal 4481/100000 binary64) x) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (/.f64 (-.f64 #s(literal -27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 4481/100000 (pow x 2))
(.f64 (.f64 #s(literal 4481/100000 binary64) x) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/ 1651231776/20079361 x)
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

rewrite195.0ms (3.9%)

Memory

-7.3MiB live, 238.9MiB allocated

Rules

4 910×	`lower-fma.f32`
4 906×	`lower-fma.f64`
4 300×	`lower-/.f32`
4 294×	`lower-/.f64`
3 936×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
0	35	124
1	155	124
2	1195	124
0	8305	119

Stop Event

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

Counts

10 → 372

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

Outputs
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (*.f64 x x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64)) (.f64 x (neg.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))))))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 x #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x)) (/.f64 (.f64 x x) (+.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x))) (.f64 (/.f64 (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x)) (/.f64 (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x)) (/.f64 (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x) (*.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x #s(literal 444645149/10000000000 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (.f64 x #s(literal -444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)))))
(/.f64 (fma.f64 #s(literal 20079361/10000000000 binary64) (*.f64 x x) #s(literal -9846394441/10000000000 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (.f64 x #s(literal -444645149/10000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x)) (-.f64 #s(literal 9846394441/10000000000 binary64) (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 20079361/10000000000 binary64) (.f64 x x) (.f64 x #s(literal -444645149/10000000000 binary64)))) (fma.f64 #s(literal 89975616641/1000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 977047873985989/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (.f64 #s(literal 4481/100000 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64))) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 #s(literal 4481/100000 binary64) x #s(literal -99229/100000 binary64)))))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))
(+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64))

eval66.0ms (1.3%)

Memory: 22.1MiB live, 136.9MiB allocated
Compiler: Compiled 12 274 to 1 711 computations (86.1% saved)

prune52.0ms (1%)

Memory

10.9MiB live, 124.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	488	0	488
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	488	7	495

Accuracy

100.0%

Counts

495 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
✓	51.7%	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
✓	50.6%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
✓	51.6%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	99.1%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	58.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
✓	51.2%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 137 to 89 computations (35% saved)

regimes12.0ms (0.2%)

Memory

-26.5MiB live, 15.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Outputs

(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

Calls

2 calls:

8.0ms

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))

Outputs
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))

Calls

2 calls:

3.0ms

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Outputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Calls

2 calls:

1.0ms

(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

1.0ms

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify25.0ms (0.5%)

Memory

-16.2MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`-commutative-binary64-.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	30	52
2	41	52
3	49	52
4	55	52
5	57	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))

#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Outputs

(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))

#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

soundness316.0ms (6.3%)

Memory

-8.4MiB live, 269.2MiB allocated

Rules

9 368×	`lower-fma.f64`
9 368×	`lower-fma.f32`
6 906×	`lower-fma.f64`
6 906×	`lower-fma.f32`
5 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	568
1	360	560
2	869	556
3	2169	520
4	6809	520
0	8198	466
0	14	64
0	22	64
1	92	64
2	738	64
0	8420	53

Stop Event

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

Compiler

Compiled 86 to 44 computations (48.8% saved)

preprocess28.0ms (0.6%)

Memory: 4.2MiB live, 82.6MiB allocated
Compiler: Compiled 74 to 58 computations (21.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.5%)

sample1.7s (33.1%)

explain244.0ms (4.8%)

preprocess125.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (1.4%)

localize81.0ms (1.6%)

series8.0ms (0.2%)

simplify120.0ms (2.4%)

rewrite797.0ms (15.8%)

eval133.0ms (2.6%)

prune65.0ms (1.3%)

simplify80.0ms (1.6%)

localize99.0ms (2%)

series9.0ms (0.2%)

simplify129.0ms (2.5%)

rewrite172.0ms (3.4%)

eval104.0ms (2.1%)

prune57.0ms (1.1%)

simplify136.0ms (2.7%)

localize76.0ms (1.5%)

series11.0ms (0.2%)

simplify141.0ms (2.8%)

rewrite195.0ms (3.9%)

eval66.0ms (1.3%)

prune52.0ms (1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

simplify25.0ms (0.5%)

soundness316.0ms (6.3%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling