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

8.9MiB live, 8.9MiB 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)

sample1.9s (32.1%)

Memory

7.3MiB live, 2 172.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 995.0ms

const: 495.0ms (49.8% of total)

ival-mult: 255.0ms (25.6% of total)

ival-add: 113.0ms (11.4% of total)

ival-div: 78.0ms (7.8% of total)

ival-sub: 39.0ms (3.9% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain340.0ms (5.6%)

Memory

-17.7MiB live, 502.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

95.0ms

512×

valid

Compiler

Compiled 371 to 170 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

const: 25.0ms (34% of total)

ival-add: 24.0ms (32.6% of total)

ival-mult: 17.0ms (23.1% of total)

ival-div: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.7% of total)

ival-true: 1.0ms (1.4% of total)

exact: 0.0ms (0% of total)

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

preprocess121.0ms (2%)

Memory

23.7MiB live, 99.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Memory

-35.3MiB live, 3.8MiB 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)

simplify72.0ms (1.2%)

Memory

26.4MiB live, 72.6MiB 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)))

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)

localize55.0ms (0.9%)

Memory

-24.8MiB live, 90.6MiB 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	0.40625	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	0.4140625	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	17.42461847967788	(/.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

41.0ms

256×

valid

Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions

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

ival-add: 12.0ms (36.9% of total)

const: 12.0ms (36.9% of total)

ival-mult: 5.0ms (15.4% of total)

ival-div: 1.0ms (3.1% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify116.0ms (1.9%)

Memory

13.7MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite165.0ms (2.7%)

Memory

11.2MiB live, 166.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 471

Calls

Call 1

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

Outputs
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eval110.0ms (1.8%)

Memory: 1.2MiB live, 160.8MiB allocated
Compiler: Compiled 16 036 to 2 045 computations (87.2% saved)

prune38.0ms (0.6%)

Memory

0.5MiB live, 37.0MiB 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))))
	70.4%	(-.f64 x (/.f64 (/.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
▶	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.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)))))
▶	57.0%	(-.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)))
▶	57.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
	98.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
	46.7%	#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)))
	45.3%	#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)))
▶	53.2%	#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)))
▶	44.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 198 to 166 computations (16.2% saved)

simplify216.0ms (3.6%)

Memory

-31.8MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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 (/ (+ 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))
cost-diff	0	(-.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)))
cost-diff	0	(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff	0	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
cost-diff	0	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
cost-diff	0	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
cost-diff	0	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64)) x #s(literal -1 binary64))
cost-diff	0	(/.f64 (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)))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.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)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.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))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	224
0	56	224
1	86	224
2	150	220
3	356	218
4	728	202
5	1405	202
6	2597	202
7	4175	202
8	4772	202
9	5319	202
10	5509	202
11	5615	202
12	5748	202
13	5777	202
14	5785	202
15	5833	202
16	5849	202
17	5849	202
18	5855	202
0	5855	202

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize122.0ms (2%)

Memory

-3.4MiB live, 192.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
accuracy	0.21484375	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
accuracy	0.3828125	(/.f64 #s(literal 1651231776/20079361 binary64) x)
accuracy	27.60269189104333	#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))
accuracy	0.00390625	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy	0.296875	(/.f64 #s(literal 27061/4481 binary64) x)
accuracy	27.228947883921762	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy	0.14453125	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
accuracy	29.944230990041877	#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	35.57540462026435	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.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))))
accuracy	0.21875	(fma.f64 #s(literal -4481/100000 binary64) x #s(literal -99229/100000 binary64))
accuracy	0.23828125	(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
accuracy	17.39064680299976	(/.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)))

Samples

100.0ms

256×

valid

Compiler

Compiled 339 to 66 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

const: 50.0ms (60.9% of total)

ival-mult: 11.0ms (13.4% of total)

ival-div: 9.0ms (11% of total)

ival-add: 9.0ms (11% of total)

ival-sub: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series15.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

17 → 204

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (- x (/ 1 (/ (+ (* (+ (* -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)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* -27061/100000 x) -230753/100000) (+ (* -4481/100000 x) -99229/100000) (/ 1651231776/20079361 x))
2.0ms	x	@	inf	((/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (- x (/ 1 (/ (+ (* (+ (* -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)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* -27061/100000 x) -230753/100000) (+ (* -4481/100000 x) -99229/100000) (/ 1651231776/20079361 x))
2.0ms	x	@	-inf	((/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (- x (/ 1 (/ (+ (* (+ (* -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)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ (- 27061/4481 (/ 1651231776/20079361 x)) x) (- 27061/4481 (/ 1651231776/20079361 x)) (+ (* -27061/100000 x) -230753/100000) (+ (* -4481/100000 x) -99229/100000) (/ 1651231776/20079361 x))

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify140.0ms (2.3%)

Memory

13.5MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1558
1	554	1526
2	1426	1384
3	3477	1304
0	8363	1200

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 194

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
100000/230753
(+ 100000/230753 (* 20191289437/53246947009 x))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
-1
(- (* -99229/100000 x) 1)
(- (* x (- (* -4481/100000 x) 99229/100000)) 1)
(- (* x (- (* -4481/100000 x) 99229/100000)) 1)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
-230753/100000
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
-99229/100000
(- (* -4481/100000 x) 99229/100000)
(- (* -4481/100000 x) 99229/100000)
(- (* -4481/100000 x) 99229/100000)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2))))
(* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2))))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 99229/100000 (/ 1 x)) x)) 4481/100000))
(* (pow x 2) (- (* -1 (/ (+ 99229/100000 (/ 1 x)) x)) 4481/100000))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 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)))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -4481/100000 x)
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061)))
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061)))
(* -4481/100000 (pow x 2))
(* -1 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 99229/100000 (/ 1 x)) x)) 4481/100000))
(* (pow x 2) (- (* -1 (/ (+ 99229/100000 (/ 1 x)) x)) 4481/100000))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 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)))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -4481/100000 x)
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)

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

rewrite236.0ms (3.9%)

Memory

10.3MiB live, 321.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	208
0	56	208
1	271	204
2	2204	204
0	9485	186

Stop Event

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

Counts

17 → 487

Calls

Call 1

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

Outputs
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eval119.0ms (2%)

Memory: -7.5MiB live, 149.1MiB allocated
Compiler: Compiled 14 793 to 2 307 computations (84.4% saved)

prune18.0ms (0.3%)

Memory

10.2MiB live, 47.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	678	3	681
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	682	9	691

Accuracy

100.0%

Counts

691 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
▶	63.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
✓	57.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	98.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
▶	46.7%	#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)))
▶	45.3%	#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)))
✓	53.2%	#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)))
	49.3%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	44.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 131 to 113 computations (13.7% saved)

simplify120.0ms (2%)

Memory

3.0MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))
cost-diff	0	#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
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 (/ (+ 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)))
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	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
cost-diff	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
cost-diff	0	#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	317
0	77	317
1	117	317
2	192	317
3	418	317
4	695	317
5	1134	317
6	1671	317
7	2902	317
8	5924	317
9	7711	317
0	8054	287

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
(fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64))
(fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64))
#s(literal 8329292287246203008/2835237365779254046081 binary64)
#s(literal -307796913907328/12286892763167777 binary64)
#s(literal 20191289437/53246947009 binary64)
#s(literal 100000/230753 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (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)
#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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))
(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))
#s(literal 4481/27061 binary64)
#s(literal 1651231776/732297721 binary64)

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
(fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64))
(fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64))
#s(literal 8329292287246203008/2835237365779254046081 binary64)
#s(literal -307796913907328/12286892763167777 binary64)
#s(literal 20191289437/53246947009 binary64)
#s(literal 100000/230753 binary64)
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (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)
#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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))
(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))
#s(literal 4481/27061 binary64)
#s(literal 1651231776/732297721 binary64)

localize212.0ms (3.5%)

Memory

-26.5MiB live, 228.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))
accuracy	0.203125	(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))
accuracy	23.187029303232674	#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
accuracy	0.0703125	(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	0.07421875	(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
accuracy	34.137592734670655	#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)))
accuracy	0.1015625	(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	35.023868592959936	#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	0.00390625	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
accuracy	35.296970634152636	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
accuracy	0.0859375	(fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))
accuracy	34.1187906249238	#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))

Samples

180.0ms

256×

valid

Compiler

Compiled 427 to 89 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

const: 88.0ms (59.1% of total)

ival-mult: 35.0ms (23.5% of total)

ival-add: 18.0ms (12.1% of total)

ival-div: 5.0ms (3.4% of total)

ival-sub: 2.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

-13.8MiB live, 27.6MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (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 #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))) (patch #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))) #<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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) (patch (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) (patch (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4481/27061 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) (patch #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4481/27061 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) (patch (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) (patch (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) (patch (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) (patch (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 8329292287246203008/2835237365779254046081 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) (patch (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 8329292287246203008/2835237365779254046081 (* 307796913907328/12286892763167777 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) (patch (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 8329292287246203008/2835237365779254046081 (* -1 (/ (- 307796913907328/12286892763167777 (* 20191289437/53246947009 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) (patch (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 8329292287246203008/2835237365779254046081 (* -1 (/ (- 307796913907328/12286892763167777 (* 20191289437/53246947009 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) (patch (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((- x (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009) x) 100000/230753) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -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)))) (+ (* (+ (* (+ (* 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 (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* 4481/27061 x) 1651231776/732297721) (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009))

2.0ms

inf

((- x (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009) x) 100000/230753) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -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)))) (+ (* (+ (* (+ (* 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 (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* 4481/27061 x) 1651231776/732297721) (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009))

1.0ms

((- x (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009) x) 100000/230753) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -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)))) (+ (* (+ (* (+ (* 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 (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)))) (/ 1 (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000))) (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (+ (* 4481/27061 x) 1651231776/732297721) (+ (* (+ (* 8329292287246203008/2835237365779254046081 x) -307796913907328/12286892763167777) x) 20191289437/53246947009))

simplify188.0ms (3.1%)

Memory

-4.3MiB live, 189.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1871
1	727	1817
2	2023	1772
3	5947	1758
0	8380	1588

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 206

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)))
100000/230753
(+ 100000/230753 (* 20191289437/53246947009 x))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
100000/230753
(+ 100000/230753 (* 20191289437/53246947009 x))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
30191289437/10000000000
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 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)))
100000/230753
(+ 100000/230753 (* 20191289437/53246947009 x))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
1651231776/732297721
(+ 1651231776/732297721 (* 4481/27061 x))
(+ 1651231776/732297721 (* 4481/27061 x))
(+ 1651231776/732297721 (* 4481/27061 x))
20191289437/53246947009
(+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))
(+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))
(+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2))))
(* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2))))
(* 8329292287246203008/2835237365779254046081 (pow x 3))
(* (pow x 3) (- 8329292287246203008/2835237365779254046081 (* 307796913907328/12286892763167777 (/ 1 x))))
(* (pow x 3) (- (+ 8329292287246203008/2835237365779254046081 (/ 20191289437/53246947009 (pow x 2))) (* 307796913907328/12286892763167777 (/ 1 x))))
(* (pow x 3) (- (+ 8329292287246203008/2835237365779254046081 (+ (/ 20191289437/53246947009 (pow x 2)) (* 100000/230753 (/ 1 (pow x 3))))) (* 307796913907328/12286892763167777 (/ 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)
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))))))
(* 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)
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2))))
(* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2))))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* 8329292287246203008/2835237365779254046081 (pow x 2))
(* (pow x 2) (- 8329292287246203008/2835237365779254046081 (* 307796913907328/12286892763167777 (/ 1 x))))
(* (pow x 2) (- (+ 8329292287246203008/2835237365779254046081 (/ 20191289437/53246947009 (pow x 2))) (* 307796913907328/12286892763167777 (/ 1 x))))
(* (pow x 2) (- (+ 8329292287246203008/2835237365779254046081 (/ 20191289437/53246947009 (pow x 2))) (* 307796913907328/12286892763167777 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061)))
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061)))
(* 8329292287246203008/2835237365779254046081 (pow x 3))
(* -1 (* (pow x 3) (- (* 307796913907328/12286892763167777 (/ 1 x)) 8329292287246203008/2835237365779254046081)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 20191289437/53246947009 (/ 1 x)) 307796913907328/12286892763167777) x)) 8329292287246203008/2835237365779254046081)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (/ 100000/230753 (pow x 2)) (* 20191289437/53246947009 (/ 1 x))) 307796913907328/12286892763167777) x)) 8329292287246203008/2835237365779254046081)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 x)
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
(* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 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))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061)))
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061)))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* 8329292287246203008/2835237365779254046081 (pow x 2))
(* (pow x 2) (- 8329292287246203008/2835237365779254046081 (* 307796913907328/12286892763167777 (/ 1 x))))
(* (pow x 2) (+ 8329292287246203008/2835237365779254046081 (* -1 (/ (- 307796913907328/12286892763167777 (* 20191289437/53246947009 (/ 1 x))) x))))
(* (pow x 2) (+ 8329292287246203008/2835237365779254046081 (* -1 (/ (- 307796913907328/12286892763167777 (* 20191289437/53246947009 (/ 1 x))) 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))
100000/230753
#s(literal 100000/230753 binary64)
(+ 100000/230753 (* 20191289437/53246947009 x))
(fma.f64 #s(literal 20191289437/53246947009 binary64) x #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(fma.f64 (fma.f64 #s(literal -307796913907328/12286892763167777 binary64) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
100000/230753
#s(literal 100000/230753 binary64)
(+ 100000/230753 (* 20191289437/53246947009 x))
(fma.f64 #s(literal 20191289437/53246947009 binary64) x #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(fma.f64 (fma.f64 #s(literal -307796913907328/12286892763167777 binary64) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 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)
(- (* 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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rewrite172.0ms (2.8%)

Memory

34.9MiB live, 225.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	292
0	77	292
1	379	292
2	2991	292
0	8425	262

Stop Event

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

Counts

18 → 336

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))))
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (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(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))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))))
#s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))
(fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64))
(fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64))

Outputs
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eval98.0ms (1.6%)

Memory: -11.9MiB live, 191.9MiB allocated
Compiler: Compiled 10 985 to 1 673 computations (84.8% saved)

prune17.0ms (0.3%)

Memory

13.7MiB live, 57.4MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	542	0	542
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	542	9	551

Accuracy

100.0%

Counts

551 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
✓	63.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
✓	57.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	98.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	46.7%	#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)))
✓	45.3%	#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)))
✓	53.2%	#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)))
▶	49.3%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	44.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 72 to 63 computations (12.5% saved)

simplify158.0ms (2.6%)

Memory

-37.5MiB live, 80.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	58
0	28	58
1	44	58
2	63	58
3	106	58
4	205	58
5	398	58
6	657	58
7	1047	58
8	1764	58
9	2266	58
10	2464	58
11	2753	58
12	3217	58
13	3360	58
14	3448	58
15	3680	58
16	3680	58
17	3680	58
18	3752	58
19	4194	58
0	4194	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1.2%)

Memory

3.6MiB live, 121.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
accuracy	0.16015625	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
accuracy	18.06890152807255	(/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
accuracy	29.944230990041877	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))

Samples

62.0ms

256×

valid

Compiler

Compiled 93 to 35 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

const: 23.0ms (47.7% of total)

ival-mult: 12.0ms (24.9% of total)

ival-add: 9.0ms (18.7% of total)

ival-div: 3.0ms (6.2% of total)

ival-sub: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) (patch #s(approx (- x (/ (+ 230753/100000 ( x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) (patch (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (patch (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (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>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify187.0ms (3.1%)

Memory

-2.6MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	334
1	199	334
2	525	330
3	1422	310
4	4950	310
5	7757	310
0	8092	273

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
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
230753/100000
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 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))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
x
(* -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)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x)) x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 30191289437/10000000000 x)
(*.f64 x #s(literal 30191289437/10000000000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))

rewrite220.0ms (3.6%)

Memory

21.7MiB live, 270.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
0	28	53
1	136	41
2	1125	41
0	8558	36

Stop Event

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

Counts

5 → 240

Calls

Call 1

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

Outputs
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eval40.0ms (0.7%)

Memory: -21.5MiB live, 102.1MiB allocated
Compiler: Compiled 6 661 to 995 computations (85.1% saved)

prune11.0ms (0.2%)

Memory

-4.2MiB live, 35.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	298	9	307

Accuracy

100.0%

Counts

307 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
✓	63.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
✓	57.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	98.9%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	46.7%	#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)))
✓	45.3%	#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)))
✓	53.2%	#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)))
	43.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
✓	44.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 228 to 148 computations (35.1% saved)

regimes10.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB 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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#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)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(-.f64 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.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 #s(literal 1 binary64) (/.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)))))
(-.f64 x (/.f64 (/.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))

Outputs

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

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)

regimes11.0ms (0.2%)

Memory

-14.5MiB live, 23.8MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
#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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#s(approx (- x (/ (+ 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)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(-.f64 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))
(-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.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:

6.0ms

(-.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))))

4.0ms

Results

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
#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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#s(approx (- x (/ (+ 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)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(-.f64 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))

Outputs

(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 binary64)))))

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes9.0ms (0.1%)

Memory

-19.6MiB live, 19.0MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
#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)))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
#s(approx (- x (/ (+ 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)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 #s(literal 4481/27061 binary64) x #s(literal 1651231776/732297721 binary64)))))
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
(-.f64 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)))

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

Calls

2 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	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 (0.1%)

Memory

8.5MiB live, 8.5MiB 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
44.4%	1	`x`
44.4%	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)

simplify30.0ms (0.5%)

Memory

-7.4MiB live, 72.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	98
1	61	98
2	84	98
3	106	98
4	127	98
5	135	98
6	137	98

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) (/.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)))))
(-.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 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 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 #s(literal 1 binary64) (/.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)))))
(-.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 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* -4481/100000 x) -99229/100000) x) -1) (+ (* -27061/100000 x) -230753/100000)) (fma.f64 (fma.f64 (fma.f64 #s(literal 8329292287246203008/2835237365779254046081 binary64) x #s(literal -307796913907328/12286892763167777 binary64)) x #s(literal 20191289437/53246947009 binary64)) x #s(literal 100000/230753 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))

soundness582.0ms (9.6%)

Memory

-10.2MiB live, 433.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1558
1	554	1526
2	1426	1384
3	3477	1304
0	8363	1200
0	128	568
1	360	560
2	869	556
3	2169	520
4	6809	520
0	8198	466
0	14	64
0	22	64
1	92	64
2	738	64
0	8420	53

Stop Event

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

Compiler

Compiled 165 to 103 computations (37.6% saved)

preprocess40.0ms (0.7%)

Memory: 15.3MiB live, 93.7MiB allocated
Compiler: Compiled 136 to 98 computations (27.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.9s (32.1%)

explain340.0ms (5.6%)

preprocess121.0ms (2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify72.0ms (1.2%)

localize55.0ms (0.9%)

series8.0ms (0.1%)

simplify116.0ms (1.9%)

rewrite165.0ms (2.7%)

eval110.0ms (1.8%)

prune38.0ms (0.6%)

simplify216.0ms (3.6%)

localize122.0ms (2%)

series15.0ms (0.2%)

simplify140.0ms (2.3%)

rewrite236.0ms (3.9%)

eval119.0ms (2%)

prune18.0ms (0.3%)

simplify120.0ms (2%)

localize212.0ms (3.5%)

series23.0ms (0.4%)

simplify188.0ms (3.1%)

rewrite172.0ms (2.8%)

eval98.0ms (1.6%)

prune17.0ms (0.3%)

simplify158.0ms (2.6%)

localize76.0ms (1.2%)

series5.0ms (0.1%)

simplify187.0ms (3.1%)

rewrite220.0ms (3.6%)

eval40.0ms (0.7%)

prune11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

simplify30.0ms (0.5%)

soundness582.0ms (9.6%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

Profiling