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

9.9MiB live, 9.9MiB 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)

sample1.6s (29.1%)

Memory

-15.5MiB live, 2 050.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

const: 507.0ms (46.4% of total)

ival-mult: 228.0ms (20.9% of total)

ival-add: 212.0ms (19.4% of total)

ival-div: 90.0ms (8.2% of total)

ival-sub: 40.0ms (3.7% of total)

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

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain202.0ms (3.6%)

Memory

23.3MiB live, 421.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
76	-	-	`(/.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

78.0ms

512×

valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

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

const: 29.0ms (52.1% of total)

ival-mult: 13.0ms (23.4% of total)

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

ival-div: 3.0ms (5.4% of total)

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

ival-true: 1.0ms (1.8% of total)

exact: 0.0ms (0% of total)

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

preprocess124.0ms (2.2%)

Memory

-2.6MiB live, 81.7MiB 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)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify66.0ms (1.2%)

Memory

1.9MiB live, 41.5MiB 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)

localize53.0ms (0.9%)

Memory

8.3MiB live, 88.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
accuracy	0.3203125	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	0.40234375	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	17.71136578542288	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

const: 13.0ms (49.4% of total)

ival-mult: 5.0ms (19% of total)

ival-sub: 3.0ms (11.4% of total)

ival-add: 3.0ms (11.4% of total)

ival-div: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series334.0ms (5.9%)

Memory

-23.1MiB live, 16.2MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
326.0ms	x	@	0	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
2.0ms	x	@	inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))
2.0ms	x	@	-inf	((+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (* x 27061/100000) (* x 4481/100000) (* (+ 99229/100000 (* x 4481/100000)) x))

Time

Variable

Point

Expression

326.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify134.0ms (2.4%)

Memory

3.1MiB live, 123.7MiB 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)))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))

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

rewrite186.0ms (3.3%)

Memory

10.0MiB live, 241.1MiB 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 27061/100000 binary64))
(*.f64 x #s(literal 4481/100000 binary64))
(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)

Outputs
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eval80.0ms (1.4%)

Memory: 12.0MiB live, 135.3MiB allocated
Compiler: Compiled 16 036 to 2 045 computations (87.2% saved)

prune15.0ms (0.3%)

Memory

6.9MiB live, 43.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	557	8	565
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	558	8	566

Accuracy

100.0%

Counts

566 → 8

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))))
▶	69.6%	(-.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))))
▶	53.8%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
	99.1%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
	50.9%	#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)))
	49.6%	#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)))
▶	56.7%	#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)))
▶	48.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 146 to 124 computations (15.1% saved)

simplify304.0ms (5.4%)

Memory

-53.6MiB live, 255.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
0	63	221
1	94	221
2	137	221
3	256	221
4	781	221
5	3023	221
6	6236	221
0	8245	221

Stop Event

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

Calls

Call 1

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

localize107.0ms (1.9%)

Memory

-2.8MiB live, 154.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64))
accuracy	0.3203125	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	17.71136578542288	(/.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)))
accuracy	18.204651551654575	(/.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)))
accuracy	0.0078125	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy	0.3203125	(/.f64 #s(literal 27061/4481 binary64) x)
accuracy	29.769556516254376	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy	0.1875	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
accuracy	27.707165584922635	#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	32.830508418740386	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy	0.1796875	(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy	0.24609375	(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy	17.71136578542288	(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))

Samples

83.0ms

256×

valid

Compiler

Compiled 247 to 39 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

const: 29.0ms (44.1% of total)

ival-mult: 15.0ms (22.8% of total)

ival-add: 9.0ms (13.7% of total)

ival-div: 8.0ms (12.2% of total)

ival-sub: 3.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

18 → 216

Calls

Call 1

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

Outputs
#s(alt -230753/100000 (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#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 (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)))) (patch (-.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)))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<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 (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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<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 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))
2.0ms	x	@	-inf	((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))
2.0ms	x	@	0	((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))

Time

Variable

Point

Expression

3.0ms

inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))

2.0ms

-inf

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* 30191289437/10000000000 x) -230753/100000) (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/ 27061/4481 x) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))

2.0ms

((- x (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 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) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)) (+ 99229/100000 (* x 4481/100000)) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 4481/100000 x) 99229/100000) (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (* x 4481/100000) (+ (* 27061/100000 x) -230753/100000))

simplify158.0ms (2.8%)

Memory

-12.1MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1496
1	394	1472
2	963	1444
3	2390	1272
4	7109	1272
0	8159	1140

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

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

rewrite187.0ms (3.3%)

Memory

7.2MiB live, 234.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	205
0	63	165
1	297	165
2	2158	165
0	8575	165

Stop Event

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

Counts

18 → 813

Calls

Call 1

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

Outputs
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eval155.0ms (2.8%)

Memory: 12.3MiB live, 288.6MiB allocated
Compiler: Compiled 28 343 to 2 393 computations (91.6% saved)

prune20.0ms (0.4%)

Memory

28.4MiB live, 67.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 015	4	1 019
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	1 019	8	1 027

Accuracy

100.0%

Counts

1 027 → 8

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))))
▶	99.1%	(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	53.8%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	50.9%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
▶	49.6%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
✓	56.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
▶	52.8%	#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))))
✓	48.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 62 to 54 computations (12.9% saved)

simplify173.0ms (3.1%)

Memory

-7.9MiB live, 266.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
cost-diff	0	(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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	(*.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	43	222
0	60	222
1	98	222
2	162	222
3	341	222
4	927	222
5	3258	222
6	6466	222
0	8023	203

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (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)
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
#s(literal 179503363065659419717/100000000000000000000 binary64)
x
#s(literal -1900161040244073/1000000000000000 binary64)
#s(literal 30191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 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 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #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 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #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)
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
#s(literal 179503363065659419717/100000000000000000000 binary64)
x
#s(literal -1900161040244073/1000000000000000 binary64)
#s(literal 30191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)
(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
x
#s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)

localize200.0ms (3.6%)

Memory

-37.8MiB live, 177.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
accuracy	32.7628832528486	#s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
accuracy	0.0390625	(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	0.06640625	(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
accuracy	31.43204084323739	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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	0.08203125	(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
accuracy	0.10546875	(fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64))
accuracy	32.27423490435166	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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	0.04296875	(fma.f64 #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
accuracy	0.1875	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
accuracy	18.231034498645585	(/.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	27.707165584922635	#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

157.0ms

256×

valid

Compiler

Compiled 202 to 46 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-add: 71.0ms (50.1% of total)

const: 35.0ms (24.7% of total)

ival-mult: 20.0ms (14.1% of total)

ival-div: 13.0ms (9.2% of total)

ival-sub: 2.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (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 #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) 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>) () ())

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>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 (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 -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 (- (* 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 (- (* 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 (- (* 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>) () ())) ())
#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 (- (* 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>) () ())) ())
#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 (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 #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 -230753/100000 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 30191289437/10000000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (- (* 30191289437/10000000000 x) 230753/100000) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 (* 179503363065659419717/100000000000000000000 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) (taylor -inf x) (#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 (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))) (taylor -inf x) (#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 (* 179503363065659419717/100000000000000000000 x) (taylor -inf x) (#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 (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) (patch (-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 30191289437/10000000000 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#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

2.0ms

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) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 30191289437/10000000000 x) 230753/100000))

2.0ms

-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) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) 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) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (+ (* (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) x) -230753/100000) (+ (* -1900161040244073/1000000000000000 x) 30191289437/10000000000) (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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 (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (+ (* 30191289437/10000000000 x) 230753/100000))

simplify179.0ms (3.2%)

Memory

-9.5MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1237
1	496	1223
2	1375	1185
3	3990	1180
0	8202	1043

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 160

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
(- (* 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)))
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)
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)
(* 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)
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))
(* 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)
(- (* 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)
(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))
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 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64))
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 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)))))
(fma.f64 (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x 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))) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x 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) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x (/.f64 (/.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)))))
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rewrite172.0ms (3%)

Memory

11.9MiB live, 240.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	206
0	60	206
1	307	162
2	2639	162
0	8550	145

Stop Event

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

Counts

14 → 290

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

Outputs
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eval73.0ms (1.3%)

Memory: -6.0MiB live, 159.6MiB allocated
Compiler: Compiled 8 398 to 1 345 computations (84% saved)

prune16.0ms (0.3%)

Memory

-0.6MiB live, 42.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	450	8	458

Accuracy

100.0%

Counts

458 → 8

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))))
✓	99.1%	(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	53.8%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	50.9%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
✓	49.6%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
✓	56.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
▶	47.5%	#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))))
✓	48.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 58 to 52 computations (10.3% saved)

simplify118.0ms (2.1%)

Memory

25.1MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	63
0	27	63
1	43	63
2	62	63
3	105	63
4	206	63
5	401	63
6	662	63
7	1049	63
8	1769	63
9	2268	63
10	2435	63
11	2522	63
12	2579	63
13	2622	63
14	2681	63
15	2756	63
16	2812	63
17	2823	63
18	2837	63
19	2849	63
0	2849	57

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

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

localize78.0ms (1.4%)

Memory

0.3MiB live, 154.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1875	(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
accuracy	18.231034498645585	(/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
accuracy	27.707165584922635	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (/.f64 #s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64)) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))))
accuracy	33.369764720993516	#s(approx (+ (* 911513957868707776969/100000000000000000000 (* x x)) -53246947009/10000000000) #s(literal -53246947009/10000000000 binary64))

Samples

67.0ms

256×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

const: 31.0ms (57.4% of total)

ival-mult: 13.0ms (24.1% of total)

ival-add: 5.0ms (9.3% of total)

ival-div: 3.0ms (5.6% of total)

ival-sub: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-21.7MiB live, 11.9MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

0.0ms

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

simplify162.0ms (2.9%)

Memory

20.1MiB live, 183.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	298
1	199	298
2	525	294
3	1422	274
4	4950	274
5	7757	274
0	8092	237

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
-53246947009/10000000000
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
230753/100000
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
(+ 230753/100000 (* 30191289437/10000000000 x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* 911513957868707776969/100000000000000000000 (pow x 2))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 911513957868707776969/100000000000000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 30191289437/10000000000 x)
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (+ 30191289437/10000000000 (* 230753/100000 (/ 1 x))))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 (fma.f64 #s(literal -1900161040244073/1000000000000000 binary64) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 911513957868707776969/100000000000000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 30191289437/10000000000 x))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
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))
(* 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))
(* 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))

rewrite181.0ms (3.2%)

Memory

-1.0MiB live, 246.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	59
0	27	59
1	135	59
2	1090	59
0	8335	53

Stop Event

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

Counts

4 → 83

Calls

Call 1

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

Outputs
#<batchref>
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eval17.0ms (0.3%)

Memory: 1.3MiB live, 39.6MiB allocated
Compiler: Compiled 1 929 to 368 computations (80.9% saved)

prune13.0ms (0.2%)

Memory

-14.7MiB live, 23.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	129	8	137

Accuracy

100.0%

Counts

137 → 8

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))))
✓	99.1%	(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	53.8%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	50.9%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
✓	49.6%	#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
✓	56.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64)))
✓	47.5%	#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))))
✓	48.7%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 191 to 111 computations (41.9% saved)

regimes9.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ 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 (/.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 (/.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 (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:

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
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

-19.2MiB live, 19.1MiB 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)))
(-.f64 x #s(approx (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 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)))
#s(approx (- x (/ (/ (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (+ (* 27061/100000 x) -230753/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) x #s(literal -1900161040244073/1000000000000000 binary64)) x #s(literal 30191289437/10000000000 binary64)) x #s(literal -230753/100000 binary64)))
#s(approx (- x (/ (+ 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))))

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

Calls

2 calls:

7.0ms

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

4.0ms

Results

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB 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
48.7%	1	`x`
48.7%	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)

simplify29.0ms (0.5%)

Memory

-22.5MiB live, 62.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness306.0ms (5.4%)

Memory

9.8MiB live, 240.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 86 to 44 computations (48.8% saved)

preprocess87.0ms (1.5%)

Memory: 14.4MiB live, 101.5MiB allocated
Compiler: Compiled 74 to 58 computations (21.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze5.0ms (0.1%)

sample1.6s (29.1%)

explain202.0ms (3.6%)

preprocess124.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (1.2%)

localize53.0ms (0.9%)

series334.0ms (5.9%)

simplify134.0ms (2.4%)

rewrite186.0ms (3.3%)

eval80.0ms (1.4%)

prune15.0ms (0.3%)

simplify304.0ms (5.4%)

localize107.0ms (1.9%)

series15.0ms (0.3%)

simplify158.0ms (2.8%)

rewrite187.0ms (3.3%)

eval155.0ms (2.8%)

prune20.0ms (0.4%)

simplify173.0ms (3.1%)

localize200.0ms (3.6%)

series14.0ms (0.2%)

simplify179.0ms (3.2%)

rewrite172.0ms (3%)

eval73.0ms (1.3%)

prune16.0ms (0.3%)

simplify118.0ms (2.1%)

localize78.0ms (1.4%)

series9.0ms (0.2%)

simplify162.0ms (2.9%)

rewrite181.0ms (3.2%)

eval17.0ms (0.3%)

prune13.0ms (0.2%)

regimes9.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

simplify29.0ms (0.5%)

soundness306.0ms (5.4%)

preprocess87.0ms (1.5%)

end0.0ms (0%)

Profiling