Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C

analyze7.0ms (0.1%)

Memory

-30.0MiB live, 8.8MiB 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)

sample2.1s (20.3%)

Memory

-73.7MiB live, 1 804.0MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

const: 649.0ms (55.8% of total)

ival-mult: 239.0ms (20.6% of total)

ival-add: 141.0ms (12.1% of total)

ival-div: 65.0ms (5.6% of total)

ival-sub: 54.0ms (4.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess155.0ms (1.5%)

Memory

16.0MiB live, 138.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 400×	`lower-fma.f64`
1 400×	`lower-fma.f32`
584×	`lower-*.f32`
578×	`lower-*.f64`
480×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	43	35
2	138	35
3	374	34
4	684	34
5	1053	34
6	1712	34
7	2199	34
8	2307	34
9	2348	34
10	2351	34
11	2351	34
0	14	17
0	22	17
1	38	17
2	59	17
3	71	17
4	79	17
5	98	17
6	156	17
7	314	17
8	786	17
9	1496	17
10	2758	17
11	3232	17
12	3348	17
13	3393	17
14	3401	17
15	3401	17
0	3401	14

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

explain208.0ms (2.1%)

Memory

-12.5MiB live, 342.4MiB allocated

FPErrors

Click to see full error table

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

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

71.0ms

512×

valid

Compiler

Compiled 180 to 60 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

const: 26.0ms (51.7% of total)

ival-mult: 11.0ms (21.9% of total)

ival-add: 6.0ms (11.9% of total)

ival-div: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

ival-true: 1.0ms (2% of total)

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify128.0ms (1.3%)

Memory

-8.0MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.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 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64)))))
✓	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`
480×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	22	70
1	38	70
2	59	70
3	71	70
4	79	70
5	98	70
6	156	70
7	314	70
8	786	70
9	1496	70
10	2758	70
11	3232	70
12	3348	70
13	3393	70
14	3401	70
15	3401	70
0	3401	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize58.0ms (0.6%)

Memory

22.2MiB live, 60.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 27061/100000 binary64))
✓	accuracy	99.3%	(*.f64 x #s(literal 4481/100000 binary64))
✓	accuracy	76.1%	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))

Samples

33.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 12.0ms (50.6% of total)

ival-mult: 5.0ms (21.1% of total)

ival-add: 3.0ms (12.6% of total)

ival-div: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify503.0ms (5%)

Memory

-3.8MiB live, 311.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 760×	`lower-fma.f64`
10 760×	`lower-fma.f32`
3 992×	`lower-*.f64`
3 992×	`lower-*.f32`
1 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	592
1	337	584
2	799	558
3	1945	522
4	6969	522
0	8157	468

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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

rewrite763.0ms (7.5%)

Memory

19.0MiB live, 413.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 866×	`lower-fma.f64`
7 866×	`lower-fma.f32`
5 638×	`lower-*.f32`
5 632×	`lower-*.f64`
3 966×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
0	22	64
1	98	64
2	807	64
0	8382	53

Stop Event

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

Counts

8 → 493

Calls

Call 1

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

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

eval270.0ms (2.7%)

Memory: -43.2MiB live, 134.5MiB allocated
Compiler: Compiled 19 719 to 2 014 computations (89.8% saved)

prune151.0ms (1.5%)

Memory

19.4MiB live, 141.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	579	10	589
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	10	590

Accuracy

100.0%

Counts

590 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.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))) x)
	73.9%	(-.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)))) (.f64 (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))))) x)
	52.0%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
	52.9%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
▶	98.1%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
▶	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
▶	49.7%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
	57.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
	53.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
▶	49.0%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

Compiler

Compiled 192 to 130 computations (32.3% saved)

simplify341.0ms (3.4%)

Memory

-28.6MiB live, 247.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

4 008×	`lower-fma.f32`
3 992×	`lower-fma.f64`
1 256×	`lower-*.f64`
1 256×	`lower-*.f32`
824×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	49	184
1	94	184
2	174	184
3	231	184
4	275	184
5	311	184
6	392	184
7	612	184
8	1179	184
9	1964	184
10	3330	184
11	4205	184
12	4864	184
13	5014	184
14	5055	184
15	5070	184
16	5071	184
17	5151	184
18	5175	184
19	5175	184
20	5223	184
21	5569	184
22	5569	184
0	5569	184

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.2%)

Memory

22.1MiB live, 223.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(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))
✓	accuracy	99.9%	(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))
✓	accuracy	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64))
✓	accuracy	49.7%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	accuracy	100.0%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓	accuracy	49.4%	#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
✓	accuracy	49.0%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
✓	accuracy	99.6%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	76.1%	(/.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

79.0ms

256×

valid

Compiler

Compiled 195 to 35 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

const: 25.0ms (42.1% of total)

ival-mult: 15.0ms (25.3% of total)

ival-add: 14.0ms (23.6% of total)

ival-div: 3.0ms (5.1% of total)

ival-sub: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -30191289437/10000000000)
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -30191289437/10000000000)) 230753/100000)
0.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -30191289437/10000000000)) 230753/100000)
0.0ms	x	@	inf	(+ (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)) 230753/100000)
0.0ms	x	@	-inf	(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -30191289437/10000000000)

simplify403.0ms (4%)

Memory

2.5MiB live, 801.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 102×	`lower-fma.f64`
18 102×	`lower-fma.f32`
3 926×	`lower-+.f64`
3 926×	`lower-+.f32`
3 874×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	1456
1	510	1436
2	1421	1392
3	4048	1382
0	8242	1237

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

rewrite452.0ms (4.5%)

Memory

-24.2MiB live, 888.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 382×	`lower-fma.f32`
5 366×	`lower-fma.f64`
4 042×	`lower-/.f32`
4 040×	`lower-/.f64`
3 964×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	181
0	49	166
1	274	166
2	2148	166
0	8750	166

Stop Event

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

Counts

15 → 463

Calls

Call 1

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

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

eval89.0ms (0.9%)

Memory: 25.6MiB live, 264.1MiB allocated
Compiler: Compiled 18 921 to 1 759 computations (90.7% saved)

prune75.0ms (0.7%)

Memory

-23.1MiB live, 215.9MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	636	7	643
Fresh	5	0	5
Picked	0	5	5
Done	0	0	0
Total	641	12	653

Accuracy

100.0%

Counts

653 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) x)
✓	100.0%	(-.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))) x)
	53.1%	(-.f64 (/.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)
	52.0%	(-.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)
▶	52.9%	(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓	98.1%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
▶	57.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
▶	53.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
▶	51.2%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
✓	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
✓	49.7%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	49.0%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

Compiler

Compiled 202 to 134 computations (33.7% saved)

simplify410.0ms (4%)

Memory

8.3MiB live, 722.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
✓	cost-diff	0	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
✓	cost-diff	320	(fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 27061/4481 binary64) x)
✓	cost-diff	0	#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
✓	cost-diff	0	(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓	cost-diff	0	(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
✓	cost-diff	0	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
✓	cost-diff	0	(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) x)
✓	cost-diff	128	(*.f64 (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)))

Rules

14 494×	`lower-fma.f32`
14 478×	`lower-fma.f64`
4 000×	`lower-*.f32`
3 996×	`lower-*.f64`
3 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	231
0	67	229
1	116	229
2	210	229
3	532	229
4	1453	229
5	2734	229
6	4425	229
7	5585	229
8	7198	229
0	8050	220

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) x)
(-.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1034004193/10000000000 binary64) (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 2685235969/10000000000 binary64))) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x (fma.f64 x (+.f64 #s(literal -1034004193/10000000000 binary64) (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 2685235969/10000000000 binary64))) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(*.f64 x x)
x
#s(literal 732297721/10000000000 binary64)
#s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(fma.f64 x (fma.f64 x (+.f64 #s(literal -1034004193/10000000000 binary64) (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 2685235969/10000000000 binary64))) #s(literal -20191289437/10000000000 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)
(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 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
#s(literal -30191289437/10000000000 binary64)
x
#s(literal 230753/100000 binary64)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
x
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
(fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(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))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
x
#s(literal -179503363065659419717/100000000000000000000 binary64)
#s(literal 1900161040244073/1000000000000000 binary64)
(*.f64 x x)
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)

localize151.0ms (1.5%)

Memory

-14.2MiB live, 314.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
✓	accuracy	99.9%	(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
✓	accuracy	100.0%	(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓	accuracy	99.5%	(/.f64 #s(literal 27061/4481 binary64) x)
✓	accuracy	52.0%	#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
✓	accuracy	99.8%	(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
✓	accuracy	57.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	53.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
✓	accuracy	99.7%	(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))
✓	accuracy	63.7%	(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))

Samples

99.0ms

256×

valid

Compiler

Compiled 234 to 46 computations (80.3% saved)

Precisions

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

const: 32.0ms (40.9% of total)

ival-mult: 18.0ms (23% of total)

ival-add: 14.0ms (17.9% of total)

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

ival-sub: 5.0ms (6.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

18 → 216

Calls

Call 1

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

Outputs
#<alt -230753/100000>
#<alt (- (* -20191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (- (* 51600993/312500000 x) 20191289437/10000000000)) 230753/100000)>
#<alt (- (* x (- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)) 230753/100000)>
#<alt (* 121260341/10000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))>
#<alt (* (pow x 3) (+ 121260341/10000000000 (+ (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) (pow x 2))) (* 51600993/312500000 (/ 1 x)))))>
#<alt (* 121260341/10000000000 (pow x 3))>
#<alt (* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- 51600993/312500000 (* 20191289437/10000000000 (/ 1 x))) x)) 121260341/10000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 51600993/312500000 (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)) 121260341/10000000000)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt -53246947009/10000000000>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 1900161040244073/1000000000000000>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (* -179503363065659419717/100000000000000000000 x)>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* -179503363065659419717/100000000000000000000 x)>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -230753/100000>
#<alt (- (* 27061/100000 x) 230753/100000)>
#<alt (- (* 27061/100000 x) 230753/100000)>
#<alt (- (* 27061/100000 x) 230753/100000)>
#<alt (* 27061/100000 x)>
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>

Calls

54 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 27061/4481 x)
0.0ms	x	@	0	(* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))
0.0ms	x	@	0	(/ 27061/4481 x)
0.0ms	x	@	-inf	(* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))
0.0ms	x	@	inf	(+ (* (* x x) 732297721/10000000000) -53246947009/10000000000)

simplify330.0ms (3.3%)

Memory

0.5MiB live, 554.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 506×	`lower-fma.f64`
10 506×	`lower-fma.f32`
4 134×	`lower-*.f64`
4 134×	`lower-*.f32`
2 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1515
1	584	1489
2	1644	1461
3	4781	1458
0	8268	1336

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
-230753/100000
(- (* -20191289437/10000000000 x) 230753/100000)
(- (* x (- (* 51600993/312500000 x) 20191289437/10000000000)) 230753/100000)
(- (* x (- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)) 230753/100000)
(* 121260341/10000000000 (pow x 3))
(* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* (pow x 3) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(* (pow x 3) (+ 121260341/10000000000 (+ (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) (pow x 2))) (* 51600993/312500000 (/ 1 x)))))
(* 121260341/10000000000 (pow x 3))
(* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 51600993/312500000 (* 20191289437/10000000000 (/ 1 x))) x)) 121260341/10000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 51600993/312500000 (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)) 121260341/10000000000)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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))
-53246947009/10000000000
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
1900161040244073/1000000000000000
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(* -179503363065659419717/100000000000000000000 x)
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* -179503363065659419717/100000000000000000000 x)
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(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)
-230753/100000
(- (* 27061/100000 x) 230753/100000)
(- (* 27061/100000 x) 230753/100000)
(- (* 27061/100000 x) 230753/100000)
(* 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)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
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
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* -20191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (- (* 51600993/312500000 x) 20191289437/10000000000)) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal 51600993/312500000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 121260341/10000000000 (pow x 3))
(.f64 x (.f64 #s(literal 121260341/10000000000 binary64) (*.f64 x x)))
(* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))))
(* (pow x 3) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 51600993/312500000 binary64) (.f64 x (+.f64 #s(literal 121260341/10000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (.f64 x x))))))
(* (pow x 3) (+ 121260341/10000000000 (+ (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) (pow x 2))) (* 51600993/312500000 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal 121260341/10000000000 binary64) (/.f64 (+.f64 #s(literal -20191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) (*.f64 x x))) #s(literal 51600993/312500000 binary64)))
(* 121260341/10000000000 (pow x 3))
(.f64 x (.f64 #s(literal 121260341/10000000000 binary64) (*.f64 x x)))
(* (pow x 3) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- 51600993/312500000 (* 20191289437/10000000000 (/ 1 x))) x)) 121260341/10000000000)))
(.f64 (.f64 x x) (+.f64 #s(literal 51600993/312500000 binary64) (.f64 x (+.f64 #s(literal 121260341/10000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 51600993/312500000 (* -1 (/ (+ 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)) 121260341/10000000000)))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal 121260341/10000000000 binary64) (/.f64 (+.f64 #s(literal -20191289437/10000000000 binary64) (/.f64 #s(literal -230753/100000 binary64) x)) (*.f64 x x))) #s(literal 51600993/312500000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #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)
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #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)
(/ 27061/4481 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)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(.f64 (.f64 x x) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (-.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) #s(literal -179503363065659419717/100000000000000000000 binary64)) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(.f64 (.f64 x x) (fma.f64 x (-.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(fma.f64 (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x)) (.f64 x x) (.f64 x (.f64 x (.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) #s(literal 1 binary64)))
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 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)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 27061/100000 x) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))
(- (* 27061/100000 x) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))
(- (* 27061/100000 x) 230753/100000)
(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))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))

rewrite426.0ms (4.2%)

Memory

23.2MiB live, 769.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 372×	`lower-*.f32`
4 368×	`lower-*.f64`
4 182×	`lower-/.f32`
4 178×	`lower-/.f64`
3 466×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	202
0	67	200
1	338	188
2	2757	188
0	8485	177

Stop Event

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

Counts

18 → 794

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 #s(literal -230753/100000 binary64) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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 x #s(literal 27061/100000 binary64))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 27061/100000 binary64))) (fma.f64 #s(literal -230753/100000 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -230753/100000 binary64)))
(+.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 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 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(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (.f64 (*.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))))
(+.f64 (.f64 (.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))) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(fma.f64 x (.f64 #s(literal 27061/100000 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -230753/100000 binary64) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -230753/100000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (.f64 (.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))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 x #s(literal 27061/100000 binary64))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal 27061/100000 binary64)) (fma.f64 #s(literal -230753/100000 binary64) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -230753/100000 binary64)))
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(fma.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) x) #s(literal 27061/100000 binary64) (fma.f64 #s(literal -230753/100000 binary64) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -230753/100000 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (.f64 x #s(literal -6966730611456061/1000000000000000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal -6966730611456061/1000000000000000 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))))

eval157.0ms (1.5%)

Memory: 29.2MiB live, 413.6MiB allocated
Compiler: Compiled 43 074 to 3 057 computations (92.9% saved)

prune619.0ms (6.1%)

Memory

-33.3MiB live, 297.8MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 028	2	1 030
Fresh	1	1	2
Picked	1	4	5
Done	0	5	5
Total	1 030	12	1 042

Accuracy

100.0%

Counts

1 042 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.9%	(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
✓	100.0%	(-.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))) x)
▶	53.1%	(-.f64 (/.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)
▶	52.0%	(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
✓	52.9%	(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓	98.1%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓	57.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
✓	53.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
✓	51.2%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
✓	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
✓	49.7%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	49.0%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

Compiler

Compiled 122 to 80 computations (34.4% saved)

simplify437.0ms (4.3%)

Memory

-8.1MiB live, 587.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
✓	cost-diff	(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
✓	cost-diff	(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
✓	cost-diff	#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	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	cost-diff	(/.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	(-.f64 (/.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)
✓	cost-diff	(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
✓	cost-diff	(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
✓	cost-diff	#s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
✓	cost-diff	(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)

Rules

17 658×	`lower-fma.f32`
17 646×	`lower-fma.f64`
3 894×	`lower-*.f32`
3 890×	`lower-*.f64`
2 174×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	282
0	64	286
1	115	286
2	224	286
3	460	286
4	1226	286
5	2386	262
6	3558	262
7	3821	262
8	4260	262
9	5845	262
0	8244	259

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.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)
x
(-.f64 (/.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))
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 (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)
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(*.f64 x x)
x
#s(literal 732297721/10000000000 binary64)
#s(literal -53246947009/10000000000 binary64)
#s(approx (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
#s(literal 121260341/10000000000 binary64)
#s(literal 51600993/312500000 binary64)
#s(literal -20191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)

Outputs
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.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)
x
(-.f64 (/.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))
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 (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)
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
(-.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(/.f64 (fma.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(*.f64 x x)
x
#s(literal 732297721/10000000000 binary64)
#s(literal -53246947009/10000000000 binary64)
#s(approx (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
#s(literal 121260341/10000000000 binary64)
#s(literal 51600993/312500000 binary64)
#s(literal -20191289437/10000000000 binary64)
#s(literal -230753/100000 binary64)

localize137.0ms (1.4%)

Memory

20.4MiB live, 252.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
✓	accuracy	99.7%	(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
✓	accuracy	63.7%	(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
✓	accuracy	99.7%	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
✓	accuracy	99.6%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	76.1%	(/.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	53.1%	#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	100.0%	(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
✓	accuracy	99.4%	(/.f64 #s(literal -1651231776/20079361 binary64) x)
✓	accuracy	51.6%	#s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))

Samples

92.0ms

256×

valid

Compiler

Compiled 238 to 40 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

const: 36.0ms (47.6% of total)

ival-mult: 14.0ms (18.5% of total)

ival-div: 11.0ms (14.5% of total)

ival-add: 11.0ms (14.5% of total)

ival-sub: 3.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)>
#<alt #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))>
#<alt (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)>
#<alt (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))>
#<alt (-.f64 (/.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)>
#<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)))))>
#<alt (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))>
#<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))))>
#<alt (-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)>
#<alt (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal -1651231776/20079361 binary64) x)>
#<alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))>
#<alt (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))>

Outputs
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt -53246947009/10000000000>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* 732297721/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt 51600993/312500000>
#<alt (+ 51600993/312500000 (* 121260341/10000000000 x))>
#<alt (+ 51600993/312500000 (* 121260341/10000000000 x))>
#<alt (+ 51600993/312500000 (* 121260341/10000000000 x))>
#<alt (* 121260341/10000000000 x)>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* 121260341/10000000000 x)>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt -20191289437/10000000000>
#<alt (- (* 51600993/312500000 x) 20191289437/10000000000)>
#<alt (- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)>
#<alt (- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)>
#<alt (* 121260341/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))>
#<alt (* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))>
#<alt (* 121260341/10000000000 (pow x 2))>
#<alt (* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))>
#<alt (* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))>

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms	x	@	0	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms	x	@	inf	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms	x	@	0	(/ -1651231776/20079361 x)
0.0ms	x	@	-inf	(+ (* x (+ (* x 121260341/10000000000) 51600993/312500000)) -20191289437/10000000000)

simplify453.0ms (4.5%)

Memory

-16.2MiB live, 458.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 706×	`lower-fma.f64`
11 706×	`lower-fma.f32`
4 208×	`lower-*.f64`
4 208×	`lower-*.f32`
2 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1322
1	445	1298
2	1061	1212
3	2533	1152
0	8234	1050

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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))
-53246947009/10000000000
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* 732297721/10000000000 (pow x 2))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (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)
(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))))
51600993/312500000
(+ 51600993/312500000 (* 121260341/10000000000 x))
(+ 51600993/312500000 (* 121260341/10000000000 x))
(+ 51600993/312500000 (* 121260341/10000000000 x))
(* 121260341/10000000000 x)
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* 121260341/10000000000 x)
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
-20191289437/10000000000
(- (* 51600993/312500000 x) 20191289437/10000000000)
(- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)
(- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)
(* 121260341/10000000000 (pow x 2))
(* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(* 121260341/10000000000 (pow x 2))
(* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))
(* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))

Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
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 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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
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)
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 (.f64 x 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 (.f64 x 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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
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)
-53246947009/10000000000
#s(literal -53246947009/10000000000 binary64)
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(- (* 732297721/10000000000 (pow x 2)) 53246947009/10000000000)
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* 732297721/10000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(* (pow x 2) (- 732297721/10000000000 (* 53246947009/10000000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)
(/ -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))
51600993/312500000
#s(literal 51600993/312500000 binary64)
(+ 51600993/312500000 (* 121260341/10000000000 x))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(+ 51600993/312500000 (* 121260341/10000000000 x))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(+ 51600993/312500000 (* 121260341/10000000000 x))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* 121260341/10000000000 x)
(*.f64 x #s(literal 121260341/10000000000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* 121260341/10000000000 x)
(*.f64 x #s(literal 121260341/10000000000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(* x (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- (* 51600993/312500000 x) 20191289437/10000000000)
(fma.f64 x #s(literal 51600993/312500000 binary64) #s(literal -20191289437/10000000000 binary64))
(- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(- (* x (+ 51600993/312500000 (* 121260341/10000000000 x))) 20191289437/10000000000)
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(* 121260341/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 121260341/10000000000 binary64))
(* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)))
(* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(* (pow x 2) (- (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))) (/ 20191289437/10000000000 (pow x 2))))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(* 121260341/10000000000 (pow x 2))
(.f64 (.f64 x x) #s(literal 121260341/10000000000 binary64))
(* (pow x 2) (+ 121260341/10000000000 (* 51600993/312500000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)))
(* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))
(* (pow x 2) (+ 121260341/10000000000 (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 51600993/312500000) x))))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))

rewrite516.0ms (5.1%)

Memory

11.2MiB live, 542.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 874×	`lower-/.f32`
4 866×	`lower-/.f64`
4 794×	`lower-fma.f32`
4 782×	`lower-fma.f64`
4 574×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	226
0	64	226
1	297	210
2	2445	210
0	9382	201

Stop Event

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

Counts

16 → 431

Calls

Call 1

Inputs
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.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 (/.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(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))))
(fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64))
(*.f64 x x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))
(fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))

Outputs
(+.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) (neg.f64 x))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))) #s(literal 407688169128707776969/100000000000000000000 binary64)) (.f64 x (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)))) (fma.f64 (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))))) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal 20191289437/10000000000 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)))) #s(literal -407688169128707776969/100000000000000000000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))))) #s(literal -8231749822918346830573921576453/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64))) #s(literal 407688169128707776969/100000000000000000000 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64))))))
(.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) (*.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)))) #s(literal -407688169128707776969/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal 20191289437/10000000000 binary64))))

eval87.0ms (0.9%)

Memory: -3.2MiB live, 187.0MiB allocated
Compiler: Compiled 18 120 to 1 791 computations (90.1% saved)

prune70.0ms (0.7%)

Memory

26.0MiB live, 223.1MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	622	1	623
Fresh	0	0	0
Picked	1	2	3
Done	0	9	9
Total	623	12	635

Accuracy

100.0%

Counts

635 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.9%	(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
✓	100.0%	(-.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))) x)
✓	53.1%	(-.f64 (/.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)
	52.0%	(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
✓	52.9%	(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓	98.1%	(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓	57.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
✓	53.1%	#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
✓	51.2%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
✓	51.1%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
✓	49.7%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	49.0%	#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

Compiler

Compiled 340 to 158 computations (53.5% saved)

regimes15.0ms (0.1%)

Memory

-0.4MiB live, 37.8MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) 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)) x)
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 (/.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 (/.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 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(approx ( (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 121260341/10000000000 binary64) #s(literal 51600993/312500000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal -230753/100000 binary64)))) x)
(-.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 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 #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))) x)
(-.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x (.f64 x #s(literal 732297721/10000000000 binary64)))) (.f64 (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))))) x)

Outputs

(-.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))) x)

Calls

2 calls:

7.0ms

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

6.0ms

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-29.2MiB live, 24.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (neg.f64 x))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (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)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) (*.f64 x x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) 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)) x)
(-.f64 #s(approx (/ (+ (* (* x x) 732297721/10000000000) -53246947009/10000000000) (* (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (+ (* x 27061/100000) -230753/100000))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 (/.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)

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

Calls

2 calls:

13.0ms

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

5.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.7%	3	`(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)`
98.7%	3	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
49.0%	1	`(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)`
49.0%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch64.0ms (0.6%)

Memory

-0.9MiB live, 151.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.0001852033014466924	9448.032643090224
29.0ms	-72.70589357196728	-6.312954760969554e-11

Samples

48.0ms

304×

valid

Compiler

Compiled 192 to 132 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

const: 20.0ms (52.6% of total)

ival-add: 6.0ms (15.8% of total)

ival-mult: 6.0ms (15.8% of total)

ival-div: 4.0ms (10.5% of total)

ival-sub: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

-18.4MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	119
1	38	119
2	42	119
3	43	119

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

Outputs
(-.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))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

soundness316.0ms (3.1%)

Memory

11.1MiB live, 291.0MiB allocated

Rules

10 760×	`lower-fma.f64`
10 760×	`lower-fma.f32`
7 866×	`lower-fma.f64`
7 866×	`lower-fma.f32`
5 638×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	592
1	337	584
2	799	558
3	1945	522
4	6969	522
0	8157	468
0	14	64
0	22	64
1	98	64
2	807	64
0	8382	53

Stop Event

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

Compiler

Compiled 111 to 52 computations (53.2% saved)

preprocess101.0ms (1%)

Memory: -12.5MiB live, 64.7MiB allocated
Compiler: Compiled 110 to 66 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

sample2.1s (20.3%)

preprocess155.0ms (1.5%)

explain208.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify128.0ms (1.3%)

localize58.0ms (0.6%)

series6.0ms (0.1%)

simplify503.0ms (5%)

rewrite763.0ms (7.5%)

eval270.0ms (2.7%)

prune151.0ms (1.5%)

simplify341.0ms (3.4%)

localize117.0ms (1.2%)

series7.0ms (0.1%)

simplify403.0ms (4%)

rewrite452.0ms (4.5%)

eval89.0ms (0.9%)

prune75.0ms (0.7%)

simplify410.0ms (4%)

localize151.0ms (1.5%)

series7.0ms (0.1%)

simplify330.0ms (3.3%)

rewrite426.0ms (4.2%)

eval157.0ms (1.5%)

prune619.0ms (6.1%)

simplify437.0ms (4.3%)

localize137.0ms (1.4%)

series6.0ms (0.1%)

simplify453.0ms (4.5%)

rewrite516.0ms (5.1%)

eval87.0ms (0.9%)

prune70.0ms (0.7%)

regimes15.0ms (0.1%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch64.0ms (0.6%)

simplify9.0ms (0.1%)

soundness316.0ms (3.1%)

preprocess101.0ms (1%)

end0.0ms (0%)

Profiling