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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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)

sample1.8s (30.4%)

Memory

10.1MiB live, 1 990.4MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 642.0ms (54.1% of total)

ival-mult: 185.0ms (15.6% of total)

ival-add: 180.0ms (15.2% of total)

ival-div: 104.0ms (8.8% of total)

ival-sub: 61.0ms (5.1% of total)

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

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain204.0ms (3.4%)

Memory

5.6MiB live, 519.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
55	-	-	`(/.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

81.0ms

512×

valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

const: 35.0ms (56.6% of total)

ival-mult: 11.0ms (17.8% of total)

ival-add: 9.0ms (14.5% of total)

ival-div: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-true: 1.0ms (1.6% of total)

exact: 0.0ms (0% of total)

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

preprocess117.0ms (2%)

Memory

25.2MiB live, 104.1MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify74.0ms (1.2%)

Memory

-44.9MiB live, 52.8MiB 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)

localize43.0ms (0.7%)

Memory

13.0MiB live, 90.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
accuracy	0.3828125	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	0.39453125	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	12.971898820877325	(/.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

34.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

const: 13.0ms (52.5% of total)

ival-mult: 5.0ms (20.2% of total)

ival-add: 3.0ms (12.1% of total)

ival-div: 1.0ms (4% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB 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 4481/100000 binary64)) (patch (.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 27061/100000 binary64)) (patch (.f64 x #s(literal 27061/100000 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 (* 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 (* 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 (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 4481/100000) (* x 27061/100000) (* (+ 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 4481/100000) (* x 27061/100000) (* (+ 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 4481/100000) (* x 27061/100000) (* (+ 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 4481/100000) (* x 27061/100000) (* (+ 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 4481/100000) (* x 27061/100000) (* (+ 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 4481/100000) (* x 27061/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

simplify141.0ms (2.4%)

Memory

-12.3MiB live, 187.3MiB 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)))
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 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)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 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))
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 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))
(* 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)
(* 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))
(* 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)
(* 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)
(* 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 (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)
(* 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)
(* 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 (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)

rewrite219.0ms (3.7%)

Memory

0.5MiB live, 153.2MiB 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 4481/100000 binary64))
(*.f64 x #s(literal 27061/100000 binary64))
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)

Outputs
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eval146.0ms (2.5%)

Memory: 23.7MiB live, 136.4MiB allocated
Compiler: Compiled 16 036 to 2 045 computations (87.2% saved)

prune54.0ms (0.9%)

Memory

-25.4MiB live, 42.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	556	9	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	557	9	566

Accuracy

100.0%

Counts

566 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
▶	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))))
	77.3%	(-.f64 x (/.f64 (/.f64 (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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
	47.8%	(-.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)))
▶	49.0%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
	98.5%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
	54.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
▶	60.6%	#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)))
▶	53.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 174 to 146 computations (16.1% saved)

simplify107.0ms (1.8%)

Memory

-5.7MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
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))))
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 (- 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	(/.f64 #s(literal -1 binary64) (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	192	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)

Rules

1 560×	`lower-fma.f32`
1 550×	`lower-fma.f64`
680×	`lower-*.f64`
680×	`lower-*.f32`
352×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	187
0	46	176
1	70	176
2	98	174
3	186	174
4	304	174
5	536	174
6	804	174
7	1316	174
8	1914	174
9	2197	174
10	2305	174
11	2351	174
12	2362	174
13	2367	174
14	2369	174
0	2369	174

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize94.0ms (1.6%)

Memory

1.1MiB live, 156.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(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 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	0.1953125	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	12.971898820877325	(/.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)))
accuracy	0.01171875	(-.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	33.000198231936	#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	25.205601847594973	#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	29.996727051436963	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.03515625	(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy	0.16487174563040347	(/.f64 #s(literal -1 binary64) (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 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	0.1953125	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

Samples

77.0ms

256×

valid

Compiler

Compiled 195 to 34 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

const: 27.0ms (45.1% of total)

ival-mult: 12.0ms (20% of total)

ival-add: 11.0ms (18.4% of total)

ival-div: 6.0ms (10% of total)

ival-sub: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-21.4MiB live, 16.8MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 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 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 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 (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 #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 (-.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 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 (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 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 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 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 (- (* 99229/100000 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 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 (+ 99229/100000 (* -9398294441/10000000000 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 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 (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 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 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>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf 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 (* 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

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify125.0ms (2.1%)

Memory

6.4MiB live, 161.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 708×	`lower-fma.f64`
9 708×	`lower-fma.f32`
3 248×	`lower-*.f64`
3 248×	`lower-*.f32`
2 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1232
1	509	1216
2	1241	1184
3	2982	1012
0	8464	922

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 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
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
(- (* 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)
-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)))
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))))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(* 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))))))
(* 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)
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)
(* 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)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(* 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)))
(* 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)
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))
(* 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 (* 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)
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 888118844185989/1000000000000000 binary64) x #s(literal -9398294441/10000000000 binary64)) x #s(literal 99229/100000 binary64)) x #s(literal -1 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)
(- (* 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)
-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))
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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* 27061/100000 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))
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9922900000/20079361 binary64) x) #s(literal 100000/4481 binary64)) x) x)
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 939829444100000/89975616641 binary64) x) #s(literal 9922900000/20079361 binary64)) x)) (*.f64 x x))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x 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)) (/ 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* 27061/100000 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))
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9922900000/20079361 binary64) x) #s(literal 100000/4481 binary64)) x) x)
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 939829444100000/89975616641 binary64) x) #s(literal 9922900000/20079361 binary64)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x 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)) (/ 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* 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))

rewrite190.0ms (3.2%)

Memory

25.8MiB live, 225.5MiB allocated

Rules

5 382×	`lower-fma.f32`
5 372×	`lower-fma.f64`
5 046×	`lower-/.f32`
5 040×	`lower-/.f64`
3 890×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	153
0	46	142
1	244	140
2	1669	140
0	8487	140

Stop Event

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

Counts

13 → 523

Calls

Call 1

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

Outputs
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eval112.0ms (1.9%)

Memory: 12.6MiB live, 208.3MiB allocated
Compiler: Compiled 22 351 to 1 883 computations (91.6% saved)

prune22.0ms (0.4%)

Memory

-17.9MiB live, 57.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	822	6	828
Fresh	4	0	4
Picked	0	5	5
Done	0	0	0
Total	826	11	837

Accuracy

100.0%

Counts

837 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
▶	53.9%	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
✓	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))))
	49.0%	(-.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))))
▶	47.8%	(-.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)))
▶	98.5%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	49.0%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	54.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
✓	60.6%	#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)))
▶	57.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	53.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 160 to 134 computations (16.3% saved)

simplify422.0ms (7.1%)

Memory

-8.7MiB live, 75.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
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)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
cost-diff	0	(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #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	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
cost-diff	0	(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
cost-diff	0	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
cost-diff	0	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))
cost-diff	0	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))

Rules

3 840×	`lower-fma.f32`
3 826×	`lower-fma.f64`
1 824×	`lower-*.f32`
1 822×	`lower-*.f64`
808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	248
0	70	247
1	109	247
2	156	247
3	262	247
4	409	247
5	709	247
6	1057	247
7	1779	247
8	3111	247
9	3794	247
10	4448	247
11	4832	247
12	5359	247
13	5458	247
14	5480	247
15	5491	247
16	5785	247
17	5894	247
18	5894	247
19	5894	247
20	5966	247
21	6305	247
22	6349	247
23	6547	247
0	6547	231

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)) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
#s(literal -1900161040244073/1000000000000000 binary64)
x
#s(literal 30191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
x
#s(literal 230753/100000 binary64)
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
#s(literal 911513957868707776969/100000000000000000000 binary64)
(*.f64 x x)
x
#s(literal -53246947009/10000000000 binary64)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 30191289437/10000000000 binary64)
#s(literal 230753/100000 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)))
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)

Outputs
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
#s(literal -1900161040244073/1000000000000000 binary64)
x
#s(literal 30191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
(fma.f64 #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) x)
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
x
#s(literal 230753/100000 binary64)
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/.f64 (fma.f64 #s(literal -911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))))
(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
(/.f64 (fma.f64 #s(literal -911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
#s(literal 911513957868707776969/100000000000000000000 binary64)
(*.f64 x x)
x
#s(literal -53246947009/10000000000 binary64)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 30191289437/10000000000 binary64)
#s(literal 230753/100000 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)))
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)

localize188.0ms (3.2%)

Memory

9.7MiB live, 165.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.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)))
accuracy	0.171875	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
accuracy	0.375	(/.f64 #s(literal 1651231776/20079361 binary64) x)
accuracy	33.583187894341194	#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))
accuracy	0.06640625	(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
accuracy	0.18359375	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
accuracy	13.72719464361992	(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
accuracy	25.205601847594973	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
accuracy	0.01171875	(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
accuracy	0.16796875	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	29.85645459843848	#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)))
accuracy	0.0703125	(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
accuracy	0.08984375	(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
accuracy	29.406444588268986	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
accuracy	0.01171875	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
accuracy	29.790976500214825	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))

Samples

149.0ms

256×

valid

Compiler

Compiled 216 to 50 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

const: 77.0ms (62.6% of total)

ival-mult: 20.0ms (16.3% of total)

ival-add: 13.0ms (10.6% of total)

ival-div: 9.0ms (7.3% of total)

ival-sub: 3.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-8.6MiB live, 27.7MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x) (patch (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 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 (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) (patch #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) (patch (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (patch (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#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 (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 #s(literal 1651231776/20079361 binary64) x) (patch (/.f64 #s(literal 1651231776/20079361 binary64) x) #<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)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) #<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)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #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 (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #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 (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))) #<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)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<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)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<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)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<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)) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) 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 (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) 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 (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 30191289437/10000000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf 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 (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf 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 (* -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 (/ (+ (* 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 (/ 27061/4481 x) (taylor -inf 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 (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf 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 (/ 27061/4481 x) (taylor -inf 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 (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf 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 (taylor -inf 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 (* 1651231776/20079361 (/ 1 x))) (taylor -inf 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 (* 1651231776/20079361 (/ 1 x))) (taylor -inf 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 (* 1651231776/20079361 (/ 1 x))) (taylor -inf 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 (* 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>) () ())) ())
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 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>) () ())) ())
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 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>) () ())) ())
#s(alt (* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 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>) () ())) ())
#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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-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)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (+ (* (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) x) (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 99229/100000 x) -1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (* x 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)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* 30191289437/10000000000 x) 230753/100000) (/ 1651231776/20079361 x))

2.0ms

((- 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)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (+ (* (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) x) (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 99229/100000 x) -1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (* x 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)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* 30191289437/10000000000 x) 230753/100000) (/ 1651231776/20079361 x))

2.0ms

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)) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (+ (* (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) x) (+ (* 27061/100000 x) 230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 99229/100000 x) -1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (* x 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)) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* 30191289437/10000000000 x) 230753/100000) (/ 1651231776/20079361 x))

simplify162.0ms (2.7%)

Memory

9.9MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 194×	`lower-fma.f64`
11 194×	`lower-fma.f32`
3 410×	`lower-+.f64`
3 410×	`lower-+.f32`
3 216×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1638
1	561	1622
2	1392	1478
3	3455	1406
0	8100	1283

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 218

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
(- (* 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 (* -1900161040244073/1000000000000000 x))) 230753/100000)
30191289437/10000000000
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 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 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
-1
(- (* 99229/100000 x) 1)
(- (* 99229/100000 x) 1)
(- (* 99229/100000 x) 1)
-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)
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-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
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 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)
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))))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* -1900161040244073/1000000000000000 x)
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
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))))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(* 99229/100000 x)
(* x (- 99229/100000 (/ 1 x)))
(* x (- 99229/100000 (/ 1 x)))
(* x (- 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))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))
(/ 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)))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 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))
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)))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 x)
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 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)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(* 99229/100000 x)
(* -1 (* x (- (/ 1 x) 99229/100000)))
(* -1 (* x (- (/ 1 x) 99229/100000)))
(* -1 (* x (- (/ 1 x) 99229/100000)))
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)))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)))
(/ 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)))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 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)
(- (* 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 (* -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))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 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 (* 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)
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 888118844185989/1000000000000000 binary64) x #s(literal -9398294441/10000000000 binary64)) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* 99229/100000 x) 1)
(fma.f64 #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))
(- (* 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))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-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)
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 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)
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)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal -27061/4481 binary64) 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)
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(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal -27061/4481 binary64) 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))
(* 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))
(/ 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)

rewrite198.0ms (3.3%)

Memory

21.5MiB live, 219.7MiB allocated

Rules

5 030×	`lower-/.f32`
5 024×	`lower-/.f64`
3 834×	`lower-*.f32`
3 832×	`lower-*.f64`
2 794×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	229
0	70	228
1	369	216
2	2602	216
0	8220	198

Stop Event

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

Counts

19 → 447

Calls

Call 1

Inputs
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64)))
(fma.f64 #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)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
(*.f64 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)))
#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))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(/.f64 #s(literal 1651231776/20079361 binary64) x)

Outputs
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eval95.0ms (1.6%)

Memory: 2.7MiB live, 162.1MiB allocated
Compiler: Compiled 12 477 to 2 016 computations (83.8% saved)

prune20.0ms (0.3%)

Memory

-1.6MiB live, 40.3MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	663	2	665
Fresh	0	1	1
Picked	2	3	5
Done	1	4	5
Total	666	10	676

Accuracy

100.0%

Counts

676 → 10

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))))
▶	49.0%	(-.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))))
✓	47.8%	(-.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)))
✓	98.5%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	49.0%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	54.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
▶	27.4%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
✓	60.6%	#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)))
▶	52.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	53.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 85 to 73 computations (14.1% saved)

simplify134.0ms (2.3%)

Memory

-24.3MiB live, 136.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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	#s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x))
cost-diff	0	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
cost-diff	320	(fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))) x #s(literal 30191289437/10000000000 binary64))
cost-diff	832	(.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)
cost-diff	0	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
cost-diff	0	#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))

Rules

4 762×	`lower-fma.f32`
4 754×	`lower-fma.f64`
2 738×	`lower-*.f32`
2 732×	`lower-*.f64`
1 914×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	240
0	65	238
1	100	238
2	152	238
3	274	238
4	532	228
5	1117	228
6	1825	228
7	4118	228
8	6120	228
9	7515	228
0	8257	209

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))
#s(literal -53246947009/10000000000 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)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
#s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x))
(.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)
(fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))) x #s(literal 30191289437/10000000000 binary64))
(-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x)))
#s(literal -1900161040244073/1000000000000000 binary64)
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
#s(literal 230753/100000 binary64)
(*.f64 x x)
x
#s(literal 30191289437/10000000000 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
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))
#s(literal -53246947009/10000000000 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)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))))
#s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x))
#s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))
(-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x)))
#s(literal -1900161040244073/1000000000000000 binary64)
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
#s(literal 230753/100000 binary64)
(*.f64 x x)
x
#s(literal 30191289437/10000000000 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)

localize140.0ms (2.4%)

Memory

-6.9MiB live, 148.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	0.1953125	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	12.971898820877325	(/.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	32.58927824364613	#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	0.2421875	(.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)
accuracy	0.4404100609248647	(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
accuracy	16.513205839260834	(fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))) x #s(literal 30191289437/10000000000 binary64))
accuracy	29.406444588268986	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
accuracy	0.18359375	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
accuracy	13.72719464361992	(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
accuracy	25.205601847594973	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
accuracy	30.350311314398265	#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))

Samples

116.0ms

256×

valid

Compiler

Compiled 180 to 44 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-add: 37.0ms (36.2% of total)

const: 36.0ms (35.3% of total)

ival-mult: 20.0ms (19.6% of total)

ival-div: 6.0ms (5.9% of total)

ival-sub: 3.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) (patch (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (patch #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 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 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x) (patch (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x))) (patch #s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)) (patch #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 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 230753/100000 binary64) (.f64 x x)) (patch (/.f64 #s(literal 230753/100000 binary64) (.f64 x 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 #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) 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)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (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)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf 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 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf 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 (* 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>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 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>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 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>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 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>) () ())) ())
#s(alt (* 4481/100000 (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>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (/ 230753/100000 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) (patch (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 230753/100000 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) (patch (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 230753/100000 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) (patch (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 230753/100000 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 230753/100000 binary64) (.f64 x x)) (patch (/.f64 #s(literal 230753/100000 binary64) (.f64 x 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

2.0ms

((- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000) (* (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) x) (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (- 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) (/ 230753/100000 (* x x)) (+ (* 4481/100000 x) 99229/100000))

1.0ms

-inf

((- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000) (* (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) x) (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (- 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) (/ 230753/100000 (* x x)) (+ (* 4481/100000 x) 99229/100000))

1.0ms

inf

((- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000)) (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) (+ (* 30191289437/10000000000 x) 230753/100000) (* (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) x) (+ (* (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (- 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) (/ 230753/100000 (* x x)) (+ (* 4481/100000 x) 99229/100000))

simplify153.0ms (2.6%)

Memory

22.3MiB live, 134.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 232×	`lower-fma.f64`
9 232×	`lower-fma.f32`
3 152×	`lower-*.f64`
3 152×	`lower-*.f32`
2 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1174
1	482	1166
2	1218	1136
3	3116	1024
0	8305	902

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 162

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
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
230753/100000
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(/ -230753/100000 x)
(/ (- (* 30191289437/10000000000 x) 230753/100000) x)
(/ (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) x)
(/ (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) 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 (* -1900161040244073/1000000000000000 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)))
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 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
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))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* -1900161040244073/1000000000000000 x)
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* x (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* x (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (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))))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (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))))))
(/ 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)))))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (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)))
(* 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)))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 x)
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))))
(* -1 (* x (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) 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)))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
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)))))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (pow x 2))
(/ 230753/100000 (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))))

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)
(- (* 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))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(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 (* -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))
(/ -230753/100000 x)
(/.f64 #s(literal -230753/100000 binary64) x)
(/ (- (* 30191289437/10000000000 x) 230753/100000) x)
(-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64))
(/ (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) x)
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))
(/ (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) x)
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 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 (* -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))
-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 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* 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))
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x)
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 #s(literal -1900161040244073/1000000000000000 binary64) x)
(* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
(* x (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))
(* x (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x)
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* 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))
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* -1900161040244073/1000000000000000 x)
(*.f64 #s(literal -1900161040244073/1000000000000000 binary64) x)
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))
(* -1 (* x (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x)))))
(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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)
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #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 (/.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 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))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))
(/ 230753/100000 (pow x 2))
(/.f64 #s(literal 230753/100000 binary64) (*.f64 x 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))

rewrite171.0ms (2.9%)

Memory

-28.3MiB live, 208.5MiB allocated

Rules

4 756×	`lower-/.f32`
4 750×	`lower-/.f64`
4 034×	`lower-*.f32`
4 028×	`lower-*.f64`
2 660×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	211
0	65	209
1	333	209
2	2364	209
0	8265	193

Stop Event

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

Counts

14 → 279

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)
(fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (*.f64 x x))) x #s(literal 30191289437/10000000000 binary64))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
#s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 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 230753/100000 binary64) (*.f64 x x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

Outputs
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eval204.0ms (3.4%)

Memory: -107.6MiB live, 120.4MiB allocated
Compiler: Compiled 8 650 to 1 420 computations (83.6% saved)

prune16.0ms (0.3%)

Memory

14.2MiB live, 52.7MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	440	11	451

Accuracy

100.0%

Counts

451 → 11

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))))
✓	49.0%	(-.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))))
	55.9%	(-.f64 x (/.f64 #s(approx (+ (* 27061/100000 x) 230753/100000) (.f64 #s(literal 27061/100000 binary64) x)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
✓	47.8%	(-.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)))
✓	98.5%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	49.0%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	54.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
	54.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 #s(approx (+ ( (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))) x)))
✓	60.6%	#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)))
✓	52.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	53.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 310 to 173 computations (44.2% saved)

regimes15.0ms (0.3%)

Memory

-7.7MiB live, 28.7MiB allocated

Counts

20 → 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)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #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 (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 #s(approx (+ ( (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))) x)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 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 (-.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)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
(-.f64 x (/.f64 #s(approx (+ (* 27061/100000 x) 230753/100000) (.f64 #s(literal 27061/100000 binary64) x)) #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)) #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))))
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(-.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 (/.f64 (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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Outputs

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

Calls

2 calls:

9.0ms

5.0ms

(-.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
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)

regimes11.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

17 → 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)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #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 (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 #s(approx (+ ( (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))) x)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 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 (-.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)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
(-.f64 x (/.f64 #s(approx (+ (* 27061/100000 x) 230753/100000) (.f64 #s(literal 27061/100000 binary64) x)) #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)) #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))))

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:

5.0ms

(-.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
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)

regimes13.0ms (0.2%)

Memory

-12.9MiB live, 24.6MiB allocated

Counts

16 → 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)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #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 (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))) x)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 #s(approx (+ ( (- -1900161040244073/1000000000000000 (/ 230753/100000 (* x x))) x) 30191289437/10000000000) (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)))) x)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 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 (-.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)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) #s(approx (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (.f64 (fma.f64 (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) (.f64 x x))) x #s(literal 30191289437/10000000000 binary64)) x)))
(-.f64 x (/.f64 #s(approx (+ (* 27061/100000 x) 230753/100000) (.f64 #s(literal 27061/100000 binary64) x)) #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)) #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:

7.0ms

(-.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))))

5.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	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%)

Memory

7.8MiB live, 7.8MiB 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
53.1%	1	`x`
53.1%	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)

simplify33.0ms (0.6%)

Memory

-4.8MiB live, 71.5MiB 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	26	67
1	33	67
2	43	67
3	51	67
4	57	67
5	59	67

Stop Event

1×

saturated

Calls

Call 1

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

soundness400.0ms (6.8%)

Memory

-13.0MiB live, 273.9MiB 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	14	64
0	22	64
1	92	64
2	738	64
0	8420	53
0	128	568
1	360	560
2	869	556
3	2169	520
4	6809	520
0	8198	466

Stop Event

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

Compiler

Compiled 118 to 61 computations (48.3% saved)

preprocess33.0ms (0.6%)

Memory: 27.4MiB live, 66.7MiB allocated
Compiler: Compiled 104 to 64 computations (38.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.8s (30.4%)

explain204.0ms (3.4%)

preprocess117.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (1.2%)

localize43.0ms (0.7%)

series9.0ms (0.1%)

simplify141.0ms (2.4%)

rewrite219.0ms (3.7%)

eval146.0ms (2.5%)

prune54.0ms (0.9%)

simplify107.0ms (1.8%)

localize94.0ms (1.6%)

series12.0ms (0.2%)

simplify125.0ms (2.1%)

rewrite190.0ms (3.2%)

eval112.0ms (1.9%)

prune22.0ms (0.4%)

simplify422.0ms (7.1%)

localize188.0ms (3.2%)

series19.0ms (0.3%)

simplify162.0ms (2.7%)

rewrite198.0ms (3.3%)

eval95.0ms (1.6%)

prune20.0ms (0.3%)

simplify134.0ms (2.3%)

localize140.0ms (2.4%)

series12.0ms (0.2%)

simplify153.0ms (2.6%)

rewrite171.0ms (2.9%)

eval204.0ms (3.4%)

prune16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

simplify33.0ms (0.6%)

soundness400.0ms (6.8%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling