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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze6.0ms (0.1%)

Memory

-31.9MiB live, 7.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.7s (26.5%)

Memory

23.7MiB live, 1 404.0MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

const: 587.0ms (53.5% of total)

ival-mult: 193.0ms (17.6% of total)

ival-add: 129.0ms (11.7% of total)

ival-sub: 98.0ms (8.9% of total)

ival-div: 77.0ms (7% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

explain402.0ms (6.2%)

Memory

11.6MiB live, 251.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
54	-	-	`(/.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

140.0ms

512×

valid

Compiler

Compiled 162 to 46 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 78.0ms (63.9% of total)

const: 24.0ms (19.7% of total)

ival-mult: 10.0ms (8.2% of total)

ival-add: 7.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess280.0ms (4.3%)

Memory

-15.0MiB live, 114.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify89.0ms (1.4%)

Memory

14.1MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.3%)

Memory

9.5MiB live, 86.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
accuracy	0.3671875	(*.f64 x #s(literal 4481/100000 binary64))
accuracy	0.4375	(*.f64 x #s(literal 27061/100000 binary64))
accuracy	12.671742384490697	(/.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

69.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

const: 35.0ms (75.3% of total)

ival-mult: 5.0ms (10.8% of total)

ival-add: 3.0ms (6.5% of total)

ival-div: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-15.3MiB live, 24.0MiB 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 (* 27061/100000 x) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* 27061/100000 x) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* 4481/100000 (pow x 2)) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf 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 (* 4481/100000 (pow x 2)) (taylor -inf 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>) () ())) ())
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#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 0 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 0 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 0 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 0 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 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 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 (* 99229/100000 x) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* 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>) () ())) ())
#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

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
0.0ms	x	@	-inf	(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
0.0ms	x	@	inf	(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
0.0ms	x	@	inf	(+ 230753/100000 (* x 27061/100000))
0.0ms	x	@	0	(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))

simplify182.0ms (2.8%)

Memory

-17.2MiB live, 360.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	590
1	360	582
2	869	556
3	2171	520
4	6808	520
0	8193	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))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 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))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 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))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 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)
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
(* -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)))
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 (* 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)
(* -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)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 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 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 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)))
(* 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))))
(* 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 #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))
(* 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))
(* 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))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #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 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 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 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) 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 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(.f64 x (.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))

rewrite251.0ms (3.9%)

Memory

-6.4MiB live, 585.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

8 → 471

Calls

Call 1

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

Outputs
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (.f64 (.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))))
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (.f64 (.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))))
(neg.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (.f64 x #s(literal 6244406933/10000000000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (.f64 x #s(literal 6244406933/10000000000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (.f64 x #s(literal 6244406933/10000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64)))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))) (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))))) (.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64)))) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64))))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal -732297721/10000000000 binary64)))) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 7782059939393690265947066921031556117141/1000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))) #s(literal 12286892763167777/1000000000000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (.f64 #s(literal -19816708627981/1000000000000000 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (.f64 (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 536259952181793841/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1 binary64))
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eval89.0ms (1.4%)

Memory: -3.3MiB live, 199.6MiB allocated
Compiler: Compiled 18 151 to 2 023 computations (88.9% saved)

prune71.0ms (1.1%)

Memory

27.3MiB live, 141.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

566 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
	45.0%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)))
▶	46.2%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
▶	98.3%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
▶	63.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
▶	56.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 94 to 62 computations (34% saved)

simplify95.0ms (1.5%)

Memory

12.3MiB live, 55.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	41	161
1	65	161
2	96	161
3	136	161
4	241	161
5	437	161
6	812	161
7	1131	161
8	1805	161
9	2365	161
10	2561	161
11	2635	161
12	2676	161
13	2684	161
14	2686	161
0	2686	161

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (1.6%)

Memory

-20.5MiB live, 137.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy	0.33203125	(/.f64 #s(literal 27061/4481 binary64) x)
accuracy	35.12121618813684	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy	0.1640625	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
accuracy	23.658607126642252	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
accuracy	0	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
accuracy	27.754557779847016	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64))
accuracy	27.90968870765778	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))
accuracy	0.078125	(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
accuracy	0.15234375	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy	0.21484375	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy	12.671742384490697	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions

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

const: 30.0ms (51.9% of total)

ival-mult: 13.0ms (22.5% of total)

ival-add: 7.0ms (12.1% of total)

ival-div: 5.0ms (8.7% of total)

ival-sub: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-9.9MiB live, 28.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 27061/4481 x)
0.0ms	x	@	inf	(/ 27061/4481 x)
0.0ms	x	@	-inf	(/ 27061/4481 x)
0.0ms	x	@	inf	(+ (* x 30191289437/10000000000) -230753/100000)
0.0ms	x	@	0	(+ (* x 30191289437/10000000000) -230753/100000)

simplify179.0ms (2.8%)

Memory

30.8MiB live, 273.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1216
1	377	1192
2	922	1168
3	2298	996
4	7024	996
0	8062	906

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 146

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
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
(* -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)))
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 (* 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)
(* -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))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 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))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
-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)
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
(* -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)))
-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)
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
(* -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)))
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 (* 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)
(* -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))
-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)
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
(* -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)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
-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)
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
(* -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)))
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 (* 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)
(* -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)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))

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

rewrite257.0ms (4%)

Memory

-1.0MiB live, 357.4MiB allocated

Rules

4 794×	`lower-/.f32`
4 790×	`lower-/.f64`
4 424×	`lower-fma.f32`
4 416×	`lower-fma.f64`
3 618×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	165
0	41	147
1	218	147
2	1548	147
0	8680	147

Stop Event

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

Counts

13 → 439

Calls

Call 1

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

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

eval96.0ms (1.5%)

Memory: -7.1MiB live, 148.5MiB allocated
Compiler: Compiled 15 605 to 1 586 computations (89.8% saved)

prune67.0ms (1%)

Memory

12.6MiB live, 130.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	583	2	585
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	584	7	591

Accuracy

100.0%

Counts

591 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
▶	46.4%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))
▶	45.0%	(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)))
✓	46.2%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	98.3%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	63.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	56.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify142.0ms (2.2%)

Memory

-25.0MiB live, 55.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2 096×	`lower-fma.f32`
2 092×	`lower-fma.f64`
1 040×	`lower-*.f32`
1 038×	`lower-*.f64`
456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	35	138
1	58	138
2	97	138
3	139	138
4	205	138
5	323	138
6	500	138
7	929	138
8	1856	138
9	2502	138
10	3182	138
11	3458	138
12	3630	138
13	3658	138
14	3708	138
15	3959	138
16	3959	138
17	3961	138
0	3961	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1%)

Memory

10.6MiB live, 87.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy	0.21484375	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy	12.671742384490697	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
accuracy	34.47125992275401	#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
accuracy	0.00390625	(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
accuracy	0.26953125	(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
accuracy	0.38671875	(/.f64 #s(literal 1651231776/20079361 binary64) x)
accuracy	35.6074129974378	#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))

Samples

44.0ms

256×

valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

const: 18.0ms (53.4% of total)

ival-div: 5.0ms (14.8% of total)

ival-mult: 5.0ms (14.8% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
0.0ms	x	@	-inf	(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
0.0ms	x	@	0	(/ (- 27061/4481 (/ 1651231776/20079361 x)) x)
0.0ms	x	@	0	(/ 1651231776/20079361 x)
0.0ms	x	@	inf	(/ 1651231776/20079361 x)

simplify180.0ms (2.8%)

Memory

14.2MiB live, 209.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	834
1	374	818
2	899	764
3	2235	716
4	6916	716
0	8222	659

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
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
(* -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)))
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 (* 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)
(* -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))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 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)
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
(* -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)))
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 (* 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)
(* -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))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 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))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
(/ 1651231776/20079361 x)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))

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

rewrite274.0ms (4.2%)

Memory

-0.8MiB live, 356.0MiB allocated

Rules

5 344×	`lower-fma.f32`
5 340×	`lower-fma.f64`
4 404×	`lower-/.f32`
4 398×	`lower-/.f64`
3 908×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
0	35	124
1	161	124
2	1260	124
0	8378	119

Stop Event

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

Counts

10 → 369

Calls

Call 1

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

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

eval434.0ms (6.7%)

Memory: -18.2MiB live, 99.3MiB allocated
Compiler: Compiled 13 887 to 1 454 computations (89.5% saved)

prune55.0ms (0.8%)

Memory

28.6MiB live, 106.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	485	7	492

Accuracy

100.0%

Counts

492 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
✓	46.4%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))
▶	45.0%	(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
✓	46.2%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	98.3%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	63.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	56.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 63 to 41 computations (34.9% saved)

simplify165.0ms (2.5%)

Memory

-22.2MiB live, 135.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2 568×	`lower-fma.f32`
2 566×	`lower-fma.f64`
2 190×	`div-sub`
1 946×	`lower-*.f32`
1 944×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
0	25	68
1	45	68
2	65	68
3	77	68
4	85	68
5	134	68
6	203	68
7	308	68
8	667	68
9	918	68
10	1578	65
11	2960	65
12	4164	65
13	5018	65
14	5373	65
15	5662	65
16	6145	65
17	6809	65
18	7678	65
0	8077	59

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.5%)

Memory

-7.5MiB live, 117.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.1484375	(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
accuracy	12.7733048844907	(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
accuracy	35.6074129974378	#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))

Samples

86.0ms

256×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

const: 56.0ms (71.7% of total)

ival-add: 9.0ms (11.5% of total)

ival-mult: 8.0ms (10.2% of total)

ival-div: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
0.0ms	x	@	-inf	(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
0.0ms	x	@	inf	(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(* x x)

simplify175.0ms (2.7%)

Memory

17.9MiB live, 244.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 824×	`lower-fma.f64`
9 824×	`lower-fma.f32`
2 800×	`lower-*.f64`
2 800×	`lower-*.f32`
1 536×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	394
1	306	386
2	775	370
3	2054	346
4	6308	346
0	8123	325

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
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
(* -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)))
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 (* 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)
(* -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))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
-1651231776/20079361
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(* 27061/4481 x)
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* 27061/4481 x)
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

rewrite310.0ms (4.8%)

Memory

11.8MiB live, 380.2MiB allocated

Rules

7 732×	`lower-fma.f32`
7 730×	`lower-fma.f64`
5 610×	`lower-*.f32`
5 608×	`lower-*.f64`
3 818×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	25	65
1	127	65
2	936	65
0	8259	59

Stop Event

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

Counts

5 → 235

Calls

Call 1

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

Outputs
(+.f64 x (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))
(+.f64 (neg.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) x)
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eval44.0ms (0.7%)

Memory: -23.6MiB live, 86.8MiB allocated
Compiler: Compiled 7 825 to 874 computations (88.8% saved)

prune43.0ms (0.7%)

Memory

16.2MiB live, 100.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	293	7	300

Accuracy

100.0%

Counts

300 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
✓	46.4%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))
✓	45.0%	(-.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
✓	46.2%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) (/.f64 #s(literal 27061/4481 binary64) x)))
✓	98.3%	(-.f64 x #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))) #s(literal 230753/100000 binary64)))
✓	63.0%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	56.4%	#s(approx (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))) #s(literal -230753/100000 binary64))

Compiler

Compiled 157 to 84 computations (46.5% saved)

regimes9.0ms (0.1%)

Memory

-24.2MiB live, 15.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
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 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

3.0ms

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	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 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

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

soundness333.0ms (5.1%)

Memory

0.3MiB live, 280.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	22	64
1	92	64
2	738	64
0	8420	53
0	128	590
1	360	582
2	869	556
3	2171	520
4	6808	520
0	8193	466

Stop Event

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

Compiler

Compiled 90 to 42 computations (53.3% saved)

preprocess139.0ms (2.1%)

Memory: 2.6MiB live, 79.8MiB allocated
Compiler: Compiled 78 to 54 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze6.0ms (0.1%)

sample1.7s (26.5%)

explain402.0ms (6.2%)

preprocess280.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (1.4%)

localize82.0ms (1.3%)

series15.0ms (0.2%)

simplify182.0ms (2.8%)

rewrite251.0ms (3.9%)

eval89.0ms (1.4%)

prune71.0ms (1.1%)

simplify95.0ms (1.5%)

localize103.0ms (1.6%)

series9.0ms (0.1%)

simplify179.0ms (2.8%)

rewrite257.0ms (4%)

eval96.0ms (1.5%)

prune67.0ms (1%)

simplify142.0ms (2.2%)

localize64.0ms (1%)

series8.0ms (0.1%)

simplify180.0ms (2.8%)

rewrite274.0ms (4.2%)

eval434.0ms (6.7%)

prune55.0ms (0.8%)

simplify165.0ms (2.5%)

localize98.0ms (1.5%)

series4.0ms (0.1%)

simplify175.0ms (2.7%)

rewrite310.0ms (4.8%)

eval44.0ms (0.7%)

prune43.0ms (0.7%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness333.0ms (5.1%)

preprocess139.0ms (2.1%)

end0.0ms (0%)

Profiling