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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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 (28.1%)

Memory

37.5MiB live, 1 940.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 890.0ms

const: 429.0ms (48.2% of total)

ival-mult: 221.0ms (24.8% of total)

ival-add: 121.0ms (13.6% of total)

ival-div: 55.0ms (6.2% of total)

ival-sub: 52.0ms (5.8% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

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

Bogosity

explain240.0ms (3.8%)

Memory

5.1MiB live, 286.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
72	-	72	(1.4761244748677892e+237)	`(/.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	-	0	-	`(*.f64 x #s(literal 4481/100000 binary64))`
0	-	0	-	`#s(literal 99229/100000 binary64)`
0	-	0	-	`(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	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	-	0	-	`(*.f64 x #s(literal 27061/100000 binary64))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))`
0	-	0	-	`(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))`
0	-	0	-	`#s(literal 27061/100000 binary64)`
0	-	0	-	`#s(literal 4481/100000 binary64)`
0	-	0	-	`#s(literal 230753/100000 binary64)`
0	-	0	-	`x`
0	-	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

118.0ms

512×

valid

Compiler

Compiled 231 to 101 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

const: 75.0ms (76.9% of total)

ival-mult: 10.0ms (10.2% of total)

ival-add: 7.0ms (7.2% of total)

ival-div: 3.0ms (3.1% of total)

ival-sub: 2.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess135.0ms (2.1%)

Memory

-6.8MiB live, 117.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify67.0ms (1.1%)

Memory

5.3MiB live, 41.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (0.9%)

Memory

5.1MiB live, 120.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
accuracy	0.34375	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	0.38671875	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	16.820033379372454	(/.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

44.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

const: 15.0ms (45.6% of total)

ival-add: 10.0ms (30.4% of total)

ival-mult: 5.0ms (15.2% of total)

ival-div: 2.0ms (6.1% of total)

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-13.8MiB live, 22.8MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
2.0ms	x	@	-inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
1.0ms	x	@	0	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify159.0ms (2.5%)

Memory

23.1MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite238.0ms (3.7%)

Memory

4.0MiB live, 332.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 471

Calls

Call 1

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

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

eval151.0ms (2.4%)

Memory: 4.2MiB live, 195.9MiB allocated
Compiler: Compiled 16 036 to 2 045 computations (87.2% saved)

prune106.0ms (1.7%)

Memory

-18.3MiB live, 137.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	555	10	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	556	10	566

Accuracy

100.0%

Counts

566 → 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))))
▶	48.4%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
	55.5%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
	53.3%	(-.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)))
	54.4%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
	97.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
	50.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (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)))
▶	48.4%	#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)))
▶	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
▶	47.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 154 to 132 computations (14.3% saved)

simplify142.0ms (2.2%)

Memory

-0.1MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
cost-diff	0	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
cost-diff	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
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 (/ (+ 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)))
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	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

Rules

2 408×	`lower-fma.f32`
2 392×	`lower-fma.f64`
936×	`lower-*.f64`
936×	`lower-*.f32`
528×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	199
0	53	184
1	81	184
2	114	184
3	200	184
4	309	184
5	539	184
6	848	184
7	1305	184
8	2204	184
9	2801	184
10	3323	184
11	3444	184
12	3538	184
13	3557	184
14	3561	184
0	3561	184

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
#s(literal -230753/100000 binary64)
#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)
#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)))
(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)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
#s(literal 1900161040244073/1000000000000000 binary64)
#s(literal -20191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)

Outputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
x
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
#s(literal -230753/100000 binary64)
#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)
#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)))
(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)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
#s(literal 1900161040244073/1000000000000000 binary64)
#s(literal -20191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)

localize163.0ms (2.6%)

Memory

22.1MiB live, 186.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
accuracy	0.12109375	(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
accuracy	33.54948972003706	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
accuracy	0.12109375	(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
accuracy	33.049456101136904	#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)))
accuracy	0.1796875	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
accuracy	28.483868683092904	#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	33.85009573441448	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy	0.19140625	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	0.2109375	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	16.820033379372454	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))

Samples

144.0ms

256×

valid

Compiler

Compiled 187 to 39 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

const: 88.0ms (68.4% of total)

ival-mult: 24.0ms (18.7% of total)

ival-add: 11.0ms (8.6% of total)

ival-div: 3.0ms (2.3% of total)

ival-sub: 2.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-14.7MiB live, 22.1MiB allocated

Counts

15 → 180

Calls

Call 1

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

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- 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))) (+ (* (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) (+ (* 4481/100000 x) 99229/100000))

1.0ms

inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- 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))) (+ (* (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) (+ (* 4481/100000 x) 99229/100000))

1.0ms

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- 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))) (+ (* (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -20191289437/10000000000) (+ (* 4481/100000 x) 99229/100000))

simplify137.0ms (2.2%)

Memory

23.1MiB live, 207.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
3 202×	`lower-*.f64`
3 202×	`lower-*.f32`
2 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1348
1	472	1332
2	1205	1300
3	3081	1132
0	8319	1000

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 170

Calls

Call 1

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

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 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)
(- (* 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 (* -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 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
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(* -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)
(* 1900161040244073/1000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x)
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 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))

rewrite259.0ms (4.1%)

Memory

3.2MiB live, 373.3MiB allocated

Rules

4 956×	`lower-fma.f32`
4 940×	`lower-fma.f64`
4 004×	`lower-/.f32`
4 002×	`lower-/.f64`
3 722×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	181
0	53	166
1	280	166
2	1888	166
0	8163	166

Stop Event

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

Counts

15 → 401

Calls

Call 1

Inputs
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
#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(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)))
(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))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

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

eval100.0ms (1.6%)

Memory: 18.2MiB live, 239.2MiB allocated
Compiler: Compiled 14 216 to 1 815 computations (87.2% saved)

prune62.0ms (1%)

Memory

-12.6MiB live, 190.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	565	6	571
Fresh	5	0	5
Picked	0	5	5
Done	0	0	0
Total	570	11	581

Accuracy

100.0%

Counts

581 → 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))))
	54.5%	(-.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))))
▶	53.3%	(-.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)))
▶	54.4%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	97.9%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	48.4%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
▶	50.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
✓	48.4%	#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)))
✓	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
▶	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
✓	47.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 141 to 120 computations (14.9% saved)

simplify273.0ms (4.3%)

Memory

-3.1MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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	(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
cost-diff	0	(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
cost-diff	0	(*.f64 #s(literal 30191289437/10000000000 binary64) x)
cost-diff	0	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
cost-diff	128	(+.f64 (*.f64 #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

4 448×	`lower-fma.f32`
4 442×	`lower-fma.f64`
1 520×	`lower-*.f32`
1 518×	`lower-*.f64`
1 352×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	237
0	60	237
1	94	237
2	145	237
3	276	237
4	511	237
5	867	237
6	1277	237
7	2053	237
8	3244	237
9	4337	237
10	4822	237
11	5001	237
12	5045	237
13	5072	237
14	5219	237
15	5391	237
16	5507	237
17	5548	237
18	5548	237
19	5549	237
20	5549	237
21	5553	237
0	5553	211

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 (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
#s(literal 30191289437/10000000000 binary64)
x
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
#s(literal 179503363065659419717/100000000000000000000 binary64)
x
#s(literal -1900161040244073/1000000000000000 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 (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.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 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
(+.f64 (*.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 #s(literal 30191289437/10000000000 binary64) x)
#s(literal 30191289437/10000000000 binary64)
x
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
x
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
#s(literal 179503363065659419717/100000000000000000000 binary64)
x
#s(literal -1900161040244073/1000000000000000 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)

localize178.0ms (2.8%)

Memory

-23.3MiB live, 164.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
accuracy	0.25	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
accuracy	0.39453125	(/.f64 #s(literal 1651231776/20079361 binary64) x)
accuracy	29.96469515047376	#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	0.04296875	(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))
accuracy	0.08203125	(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
accuracy	0.1328125	(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
accuracy	32.022686359666885	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
accuracy	0.00390625	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy	0.328125	(/.f64 #s(literal 27061/4481 binary64) x)
accuracy	29.520886475875955	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy	0.00390625	(+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64))
accuracy	0.328125	(*.f64 #s(literal 30191289437/10000000000 binary64) x)
accuracy	28.483868683092904	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
accuracy	0.00390625	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
accuracy	33.58136174019654	#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))

Samples

159.0ms

256×

valid

Compiler

Compiled 200 to 42 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 55.0ms (38.3% of total)

const: 45.0ms (31.4% of total)

ival-sub: 25.0ms (17.4% of total)

ival-add: 10.0ms (7% of total)

ival-div: 8.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-13.7MiB live, 24.0MiB allocated

Counts

17 → 204

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

simplify209.0ms (3.3%)

Memory

17.1MiB live, 254.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 070×	`lower-fma.f64`
17 070×	`lower-fma.f32`
3 814×	`lower-+.f64`
3 814×	`lower-+.f32`
3 782×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1560
1	457	1520
2	1261	1388
3	3646	1312
0	8264	1217

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 194

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

rewrite270.0ms (4.2%)

Memory

16.2MiB live, 327.4MiB allocated

Rules

4 978×	`lower-/.f32`
4 972×	`lower-/.f64`
4 418×	`lower-*.f32`
4 416×	`lower-*.f64`
4 370×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	222
0	60	222
1	336	222
2	2318	222
0	9421	196

Stop Event

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

Counts

17 → 351

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))
(+.f64 (*.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)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
(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))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
#s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/.f64 #s(literal 1651231776/20079361 binary64) x)

Outputs
(.f64 (.f64 (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))) (pow.f64 (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) (.f64 (+.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) (-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) (+.f64 #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) x) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (+ ( 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(-.f64 (/.f64 (.f64 #s(literal -27061/4481 binary64) x) (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (.f64 #s(literal 27061/4481 binary64) x) (.f64 x x)) (/.f64 (.f64 x (/.f64 #s(literal 1651231776/20079361 binary64) x)) (.f64 x x)))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x #s(literal 4481/27061 binary64)) x)) (/.f64 (.f64 (.f64 x #s(literal 4481/27061 binary64)) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (.f64 (*.f64 x #s(literal 4481/27061 binary64)) x)))
(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))))
(-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) x))
(-.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))) x) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))) x))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 27061/4481 binary64) x) (neg.f64 (/.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) x)))
(*.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 19816708627981/89975616641 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 #s(literal 732297721/20079361 binary64) (*.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 732297721/20079361 binary64) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 19816708627981/89975616641 binary64) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 732297721/20079361 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))
(/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)))
(/.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 732297721/20079361 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))))
(/.f64 (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (-.f64 #s(literal 732297721/20079361 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (-.f64 #s(literal 19816708627981/89975616641 binary64) (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))
(fma.f64 #s(literal -1651231776/20079361 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 27061/4481 binary64))
(fma.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 27061/4481 binary64))
(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))))
(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))))
(-.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1651231776/20079361 binary64))
(*.f64 #s(literal -1651231776/20079361 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal 20079361/1651231776 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 20079361/1651231776 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 20079361/1651231776 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 20079361/1651231776 binary64))))
(/.f64 #s(literal -1651231776/20079361 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1651231776/20079361 binary64) (neg.f64 x))
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1651231776/20079361 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 20079361/1651231776 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 20079361/1651231776 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 20079361/1651231776 binary64)))
(neg.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 20079361/1651231776 binary64))) #s(literal -1 binary64)))

eval99.0ms (1.6%)

Memory: 15.0MiB live, 167.9MiB allocated
Compiler: Compiled 9 653 to 1 653 computations (82.9% saved)

prune84.0ms (1.3%)

Memory

3.2MiB live, 123.9MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	545	0	545
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	545	11	556

Accuracy

100.0%

Counts

556 → 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))))
▶	54.5%	(-.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))))
✓	53.3%	(-.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)))
✓	54.4%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	97.9%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	48.4%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
✓	50.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
✓	48.4%	#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)))
✓	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
✓	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
✓	47.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 90 to 77 computations (14.4% saved)

simplify104.0ms (1.6%)

Memory

-5.8MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 416×	`lower-fma.f32`
1 412×	`lower-fma.f64`
600×	`lower-*.f32`
598×	`lower-*.f64`
304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	22	76
1	32	76
2	48	76
3	88	76
4	124	76
5	195	76
6	309	76
7	530	76
8	1227	76
9	1803	76
10	2085	76
11	2184	76
12	2224	76
13	2227	76
14	2227	76
0	2227	73

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 x (/.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)

localize81.0ms (1.3%)

Memory

-13.0MiB live, 104.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	0.2109375	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	16.820033379372454	(/.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	29.037220039885753	#s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))

Samples

73.0ms

256×

valid

Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

const: 11.0ms (40.4% of total)

ival-mult: 7.0ms (25.7% of total)

ival-div: 4.0ms (14.7% of total)

ival-add: 3.0ms (11% of total)

ival-sub: 1.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#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 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) (patch #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 99229/100000 (taylor 0 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 (+ 99229/100000 (* 4481/100000 x)) (taylor 0 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 (+ 99229/100000 (* 4481/100000 x)) (taylor 0 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 (+ 99229/100000 (* 4481/100000 x)) (taylor 0 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 (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 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 (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) 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 (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) 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 (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) 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 (* 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>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ ( (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* -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 (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 (/ 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 (/ (- (* 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 (* 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

0.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify341.0ms (5.4%)

Memory

-19.5MiB live, 141.3MiB 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	424
1	360	416
2	869	408
3	2163	372
4	6804	372
0	8190	327

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

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

rewrite248.0ms (3.9%)

Memory

16.0MiB live, 245.3MiB allocated

Rules

7 174×	`lower-fma.f32`
7 170×	`lower-fma.f64`
4 906×	`lower-*.f32`
4 904×	`lower-*.f64`
3 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	22	65
1	92	65
2	692	65
3	7991	65
0	8722	62

Stop Event

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

Counts

5 → 316

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.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))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 #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 -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.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 (/.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 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #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 -3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.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)))) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (/.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)) #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 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #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 -3 binary64))) (+.f64 (pow.f64 (.f64 (-.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)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.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)))) (-.f64 (.f64 (-.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)))) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.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))) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (/.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))) #s(literal 2 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)))))
(.f64 (pow.f64 (-.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)))) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.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))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (-.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))) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #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 -3 binary64))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (pow.f64 (/.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))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.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 (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #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 -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.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))) (.f64 x x)))))
(.f64 (-.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 (-.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)) #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 (-.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 (-.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)))) (pow.f64 (-.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)))) #s(literal -1 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.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))) #s(literal 2 binary64))) (pow.f64 (-.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)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.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))) (.f64 x x)) (/.f64 (-.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)))) (fma.f64 (-.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))) (.f64 x x))))
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(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
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(+.f64 #s(literal 99229/100000 binary64) (*.f64 #s(literal 4481/100000 binary64) x))
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eval72.0ms (1.1%)

Memory: 2.5MiB live, 121.7MiB allocated
Compiler: Compiled 11 454 to 1 404 computations (87.7% saved)

prune79.0ms (1.2%)

Memory

-4.4MiB live, 117.7MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	374	0	374
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	374	11	385

Accuracy

100.0%

Counts

385 → 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))))
✓	54.5%	(-.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))))
✓	53.3%	(-.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)))
✓	54.4%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	97.9%	(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) #s(literal 230753/100000 binary64)))
✓	48.4%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))))
✓	50.0%	#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
✓	48.4%	#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)))
✓	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
✓	55.5%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+.f64 (*.f64 #s(literal 30191289437/10000000000 binary64) x) #s(literal -230753/100000 binary64)))
✓	47.1%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 235 to 145 computations (38.3% saved)

regimes12.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB 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)))) (+.f64 (*.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))) (fma.f64 #s(literal -20191289437/10000000000 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)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 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 (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)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Outputs

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

Calls

2 calls:

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

-9.1MiB live, 27.9MiB allocated

Counts

15 → 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)))) (+.f64 (*.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))) (fma.f64 #s(literal -20191289437/10000000000 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)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 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 (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)))
#s(approx (- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (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)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x #s(approx (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #s(approx (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x))))

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

Calls

2 calls:

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
97.9%	1	`x`
97.9%	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

9.1MiB live, 9.1MiB 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
47.1%	1	`x`
47.1%	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)

simplify75.0ms (1.2%)

Memory

-48.2MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness321.0ms (5%)

Memory

17.9MiB live, 286.3MiB 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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 86 to 44 computations (48.8% saved)

preprocess30.0ms (0.5%)

Memory: 11.6MiB live, 85.9MiB allocated
Compiler: Compiled 74 to 58 computations (21.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.8s (28.1%)

explain240.0ms (3.8%)

preprocess135.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (1.1%)

localize57.0ms (0.9%)

series11.0ms (0.2%)

simplify159.0ms (2.5%)

rewrite238.0ms (3.7%)

eval151.0ms (2.4%)

prune106.0ms (1.7%)

simplify142.0ms (2.2%)

localize163.0ms (2.6%)

series27.0ms (0.4%)

simplify137.0ms (2.2%)

rewrite259.0ms (4.1%)

eval100.0ms (1.6%)

prune62.0ms (1%)

simplify273.0ms (4.3%)

localize178.0ms (2.8%)

series17.0ms (0.3%)

simplify209.0ms (3.3%)

rewrite270.0ms (4.2%)

eval99.0ms (1.6%)

prune84.0ms (1.3%)

simplify104.0ms (1.6%)

localize81.0ms (1.3%)

series4.0ms (0.1%)

simplify341.0ms (5.4%)

rewrite248.0ms (3.9%)

eval72.0ms (1.1%)

prune79.0ms (1.2%)

regimes12.0ms (0.2%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

simplify75.0ms (1.2%)

soundness321.0ms (5%)

preprocess30.0ms (0.5%)

end0.0ms (0%)

Profiling