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

analyze5.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

sample1.9s (20.9%)

Memory

32.9MiB live, 1 641.0MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 736.0ms (58.8% of total)

ival-mult: 234.0ms (18.7% of total)

ival-add: 144.0ms (11.5% of total)

ival-sub: 73.0ms (5.8% of total)

ival-div: 51.0ms (4.1% of total)

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

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess198.0ms (2.2%)

Memory

1.3MiB live, 158.9MiB allocated

Algorithm

2×	egg-herbie

Rules

1 400×	`accelerator-lowering-fma.f32`
1 400×	`accelerator-lowering-fma.f64`
618×	`distribute-rgt-in`
584×	`-lowering-.f32`
584×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	51	54
2	128	52
3	354	51
4	897	51
5	1659	51
6	2327	51
7	3408	51
8	3803	51
9	3928	51
10	3951	51
11	3962	51
12	4002	51
13	4425	51
0	14	17
1	24	17
2	40	17
3	84	17
4	182	17
5	363	17
6	615	17
7	991	17
8	1575	17
9	2080	17
10	2239	17
11	2295	17
12	2328	17
13	2331	17
14	2331	17
0	2331	14

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs

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

Call 2

Inputs

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

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

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

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

explain201.0ms (2.2%)

Memory

-8.9MiB live, 445.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

80.0ms

512×

valid

Compiler

Compiled 180 to 60 computations (66.7% saved)

Precisions

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

const: 26.0ms (43.7% of total)

ival-add: 15.0ms (25.2% of total)

ival-mult: 12.0ms (20.2% of total)

ival-div: 3.0ms (5% 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify84.0ms (0.9%)

Memory

20.4MiB live, 98.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 400×	`accelerator-lowering-fma.f32`
1 400×	`accelerator-lowering-fma.f64`
584×	`-lowering-.f32`
584×	`-lowering-.f64`
344×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	24	70
2	40	70
3	84	70
4	182	70
5	363	70
6	615	70
7	991	70
8	1575	70
9	2080	70
10	2239	70
11	2295	70
12	2328	70
13	2331	70
14	2331	70
0	2331	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (0.6%)

Memory

-1.9MiB live, 117.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
✓	accuracy	99.4%	(*.f64 x #s(literal 4481/100000 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 27061/100000 binary64))
✓	accuracy	74.1%	(/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))

Samples

36.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

const: 15.0ms (56.4% of total)

ival-mult: 5.0ms (18.8% of total)

ival-add: 3.0ms (11.3% of total)

ival-div: 2.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-19.7MiB live, 18.3MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))>
#<alt (+ 99229/100000 (* x 4481/100000))>
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))>
#<alt (* x 27061/100000)>
#<alt (* x 4481/100000)>
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)>

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 (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<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 (* 27061/100000 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 (* 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 (* 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
2.0ms	x	@	0	(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
0.0ms	x	@	0	(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
0.0ms	x	@	-inf	(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
0.0ms	x	@	inf	(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
0.0ms	x	@	inf	(+ 230753/100000 (* x 27061/100000))

rewrite696.0ms (7.7%)

Memory

3.4MiB live, 676.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 906×	`accelerator-lowering-fma.f32`
6 906×	`accelerator-lowering-fma.f64`
5 346×	`-lowering-.f32`
5 346×	`-lowering-.f64`
4 052×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	84	64
2	730	64
0	8408	53

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 471

Calls

Call 1

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

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)))
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(/.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) (-.f64 (fma.f64 x (.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (.f64 x #s(literal 20079361/10000000000 binary64)))) 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 x (.f64 x #s(literal 20079361/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (.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 x (.f64 x #s(literal 20079361/10000000000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))) (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (-.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))) (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (-.f64 (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x)) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 #s(literal 99229/100000 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64))))) (-.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))) (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64)))) (-.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x)) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64))))) (-.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))) (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x))) (-.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (*.f64 #s(literal 99229/100000 binary64) x)))
(/.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 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (.f64 x #s(literal 20079361/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (.f64 x (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 (.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 x (.f64 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 x (.f64 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 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 x (.f64 x #s(literal 20079361/10000000000 binary64))))) x) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x 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 (.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 x (.f64 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 x (.f64 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 (.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 x (.f64 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 (.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 x (.f64 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 x (.f64 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)))))

simplify282.0ms (3.1%)

Memory

24.0MiB live, 502.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 368×	`accelerator-lowering-fma.f32`
9 368×	`accelerator-lowering-fma.f64`
2 950×	`-lowering-.f32`
2 950×	`-lowering-.f64`
1 702×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	590
1	360	582
2	869	556
3	2171	520
4	6808	520
0	8193	466

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 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
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))

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

eval79.0ms (0.9%)

Memory: -2.9MiB live, 204.9MiB allocated
Compiler: Compiled 18 059 to 2 017 computations (88.8% saved)

prune111.0ms (1.2%)

Memory

-26.7MiB live, 171.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	552	15	567
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	553	15	568

Accuracy

100.0%

Counts

568 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x)
	100.0%	(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))) x)
	50.1%	(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))
	48.7%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
▶	55.8%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
▶	48.7%	(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
▶	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))))
▶	52.7%	(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
	71.5%	(-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x 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))))))
	98.2%	(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
	53.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
	97.8%	(-.f64 x #s(literal 230753/100000 binary64))
	53.9%	x
▶	48.1%	#s(literal -230753/100000 binary64)

Compiler

Compiled 348 to 256 computations (26.4% saved)

simplify254.0ms (2.8%)

Memory

34.5MiB live, 229.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1651231776/20079361 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
✓	cost-diff	0	(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
✓	cost-diff	0	(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
✓	cost-diff	192	(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))
✓	cost-diff	0	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))))
✓	cost-diff	128	(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))

Rules

3 744×	`accelerator-lowering-fma.f32`
3 744×	`accelerator-lowering-fma.f64`
1 232×	`-lowering-.f32`
1 232×	`-lowering-.f64`
808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	132
1	60	132
2	121	132
3	277	130
4	609	130
5	1179	130
6	1950	130
7	2970	130
8	3869	130
9	4261	130
10	4336	130
11	4409	130
12	4419	130
13	4429	130
14	4569	130
15	4609	130
16	4609	130
17	4613	130
18	4613	130
0	4613	113

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
1
(* (+ 99229/100000 (* x 4481/100000)) x)
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
-230753/100000
(+ (* x 30191289437/10000000000) -230753/100000)
x
30191289437/10000000000
-230753/100000
(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))
x
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)
1900161040244073/1000000000000000
-20191289437/10000000000
230753/100000
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
x
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
27061/4481
(/ -1651231776/20079361 x)
-1651231776/20079361

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

localize116.0ms (1.3%)

Memory

-17.3MiB live, 235.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
✓	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	100.0%	(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)
✓	accuracy	99.7%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 4481/100000 binary64))
✓	accuracy	74.1%	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))

Samples

76.0ms

256×

valid

Compiler

Compiled 125 to 33 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 31.0ms (50.5% of total)

ival-mult: 14.0ms (22.8% of total)

ival-add: 8.0ms (13% of total)

ival-div: 5.0ms (8.1% of total)

ival-sub: 3.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-22.8MiB live, 15.9MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))>
#<alt (+ 99229/100000 (* x 4481/100000))>
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))>
#<alt (+ (* x 30191289437/10000000000) -230753/100000)>
#<alt (- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))>
#<alt (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)>
#<alt (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)>
#<alt (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (* x 4481/100000)>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)>

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

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
1.0ms	x	@	0	(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
0.0ms	x	@	-inf	(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
0.0ms	x	@	0	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms	x	@	inf	(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))

rewrite328.0ms (3.6%)

Memory

7.2MiB live, 558.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 322×	`/-lowering-/.f32`
4 322×	`/-lowering-/.f64`
4 052×	`-lowering-.f32`
4 052×	`-lowering-.f64`
3 684×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	115
1	204	115
2	1825	115
0	8268	98

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 420

Calls

Call 1

Inputs
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
(+ 99229/100000 (* x 4481/100000))
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(/ (+ (* x 27061/100000) 230753/100000) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(+ (* x 30191289437/10000000000) -230753/100000)
(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(/ -1651231776/20079361 x)
(* x 4481/100000)
(+ (* x 27061/100000) 230753/100000)
(* (+ 99229/100000 (* x 4481/100000)) x)

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #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 (.f64 x (.f64 (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))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 (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))))) (-.f64 (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.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)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (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))))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))
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(pow.f64 (/.f64 (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(literal -1 binary64))
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(fma.f64 #s(literal 99229/100000 binary64) x (.f64 (.f64 x #s(literal 4481/100000 binary64)) x))
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(fma.f64 (.f64 x #s(literal 4481/100000 binary64)) x (.f64 #s(literal 99229/100000 binary64) x))
(/.f64 (.f64 x (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)) (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 (.f64 x #s(literal 4481/100000 binary64)) (-.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))))
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(/.f64 (neg.f64 (.f64 x (-.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)))))
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(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))) (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x (.f64 x #s(literal 4481/100000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (-.f64 (.f64 (.f64 x #s(literal 99229/100000 binary64)) (.f64 x #s(literal 99229/100000 binary64))) (.f64 (.f64 x (.f64 x #s(literal 4481/100000 binary64))) (.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal 4481/100000 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 #s(literal 99229/100000 binary64) x) (-.f64 (.f64 (.f64 (.f64 x #s(literal 4481/100000 binary64)) x) (.f64 (.f64 x #s(literal 4481/100000 binary64)) x)) (.f64 (.f64 #s(literal 99229/100000 binary64) x) (.f64 (.f64 x #s(literal 4481/100000 binary64)) x)))))
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(.f64 #s(literal 1 binary64) (.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)))
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x)
(.f64 (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) x)

simplify290.0ms (3.2%)

Memory

22.3MiB live, 497.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 338×	`accelerator-lowering-fma.f32`
9 338×	`accelerator-lowering-fma.f64`
3 154×	`-lowering-.f32`
3 154×	`-lowering-.f64`
2 216×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1132
1	485	1124
2	1212	1044
3	3035	1004
0	8324	897

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

eval79.0ms (0.9%)

Memory: -18.8MiB live, 182.9MiB allocated
Compiler: Compiled 14 137 to 1 692 computations (88% saved)

prune84.0ms (0.9%)

Memory

12.7MiB live, 173.5MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	590	10	600
Fresh	4	6	10
Picked	3	2	5
Done	0	0	0
Total	597	18	615

Accuracy

100.0%

Counts

615 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x)
	50.1%	(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))
	48.7%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	55.8%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
	17.9%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
	48.7%	(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)))) #s(literal 230753/100000 binary64))
	71.5%	(-.f64 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)))))
▶	52.3%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
▶	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
	98.2%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
▶	100.0%	(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
	53.9%	(-.f64 x (/.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)))))
	53.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶	3.9%	(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
	97.8%	(-.f64 x #s(literal 230753/100000 binary64))
	4.1%	(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
▶	53.9%	x
✓	48.1%	#s(literal -230753/100000 binary64)

Compiler

Compiled 385 to 272 computations (29.4% saved)

simplify387.0ms (4.3%)

Memory

19.3MiB live, 573.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
✓	cost-diff	0	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
✓	cost-diff	128	(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))))
✓	cost-diff	128	(+.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))

Rules

14 668×	`accelerator-lowering-fma.f32`
14 668×	`accelerator-lowering-fma.f64`
3 302×	`-lowering-.f32`
3 302×	`-lowering-.f64`
2 456×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
1	61	170
2	115	170
3	188	170
4	344	170
5	629	170
6	1088	166
7	2198	166
8	3913	166
9	4760	166
10	5163	166
11	5516	166
12	5878	166
13	6243	166
14	7724	166
0	8017	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(* x (+ (* x 4481/100000) 99229/100000))
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1
x
(- x (* x (* x 1900161040244073/1000000000000000)))
x
(* x (* x 1900161040244073/1000000000000000))
(* x 1900161040244073/1000000000000000)
1900161040244073/1000000000000000
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))
x
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
(+ (* x 27061/4481) -1651231776/20079361)
27061/4481
-1651231776/20079361
(* x x)
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1)))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1))
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ (* (+ (* x 4481/100000) 99229/100000) x) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1

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

localize110.0ms (1.2%)

Memory

-14.4MiB live, 257.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 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	74.1%	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
✓	accuracy	74.0%	(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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	74.1%	(/.f64 (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))) #s(literal 1 binary64)))

Samples

73.0ms

256×

valid

Compiler

Compiled 151 to 31 computations (79.5% saved)

Precisions

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

const: 25.0ms (46.3% of total)

ival-mult: 14.0ms (25.9% of total)

ival-add: 6.0ms (11.1% of total)

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

ival-sub: 5.0ms (9.3% 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

12.7MiB live, 12.6MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)>
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (- x (* x (* x 1900161040244073/1000000000000000)))>
#<alt (* x (* x 1900161040244073/1000000000000000))>
#<alt (* x 1900161040244073/1000000000000000)>
#<alt (- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))>
#<alt (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))>
#<alt (+ (* x 27061/4481) -1651231776/20079361)>
#<alt (* x x)>
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1)))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1))>
#<alt (+ (* (+ (* x 4481/100000) 99229/100000) x) 1)>
#<alt (+ (* x 4481/100000) 99229/100000)>
#<alt (* x (+ (* x 4481/100000) 99229/100000))>

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

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 1900161040244073/1000000000000000)
0.0ms	x	@	0	(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
0.0ms	x	@	inf	(* x (* x 1900161040244073/1000000000000000))
0.0ms	x	@	0	(* x (* x 1900161040244073/1000000000000000))
0.0ms	x	@	0	(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))

rewrite886.0ms (9.8%)

Memory

-143.7MiB live, 724.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 060×	`/-lowering-/.f32`
5 060×	`/-lowering-/.f64`
4 642×	`accelerator-lowering-fma.f32`
4 642×	`accelerator-lowering-fma.f64`
4 380×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	142
1	195	142
2	1416	142
0	8392	119

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 604

Calls

Call 1

Inputs
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
(- x (* x (* x 1900161040244073/1000000000000000)))
(* x (* x 1900161040244073/1000000000000000))
(* x 1900161040244073/1000000000000000)
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
(+ (* x 27061/4481) -1651231776/20079361)
(* x x)
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1)))
(/ (+ (* x 27061/100000) 230753/100000) (+ (* (+ (* x 4481/100000) 99229/100000) x) 1))
(+ (* (+ (* x 4481/100000) 99229/100000) x) 1)
(+ (* x 4481/100000) 99229/100000)
(* x (+ (* x 4481/100000) 99229/100000))

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

simplify435.0ms (4.8%)

Memory

-27.3MiB live, 582.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 100×	`accelerator-lowering-fma.f32`
10 100×	`accelerator-lowering-fma.f64`
2 980×	`-lowering-.f32`
2 980×	`-lowering-.f64`
2 144×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1290
1	405	1274
2	964	1200
3	2830	1134
4	7320	1134
0	8192	1031

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval110.0ms (1.2%)

Memory: 28.4MiB live, 266.7MiB allocated
Compiler: Compiled 24 253 to 1 917 computations (92.1% saved)

prune79.0ms (0.9%)

Memory

-12.4MiB live, 184.4MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	881	1	882
Fresh	0	11	11
Picked	1	4	5
Done	0	2	2
Total	882	18	900

Accuracy

100.0%

Counts

900 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x)
▶	3.9%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
▶	50.1%	(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))
	48.7%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	55.8%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
	17.9%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
	48.7%	(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)))) #s(literal 230753/100000 binary64))
	71.5%	(-.f64 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)))))
✓	52.3%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
✓	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
▶	98.2%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
✓	100.0%	(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
	53.9%	(-.f64 x (/.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)))))
▶	53.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶	97.8%	(-.f64 x #s(literal 230753/100000 binary64))
	4.1%	(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
✓	53.9%	x
✓	48.1%	#s(literal -230753/100000 binary64)

Compiler

Compiled 339 to 239 computations (29.5% saved)

simplify244.0ms (2.7%)

Memory

9.1MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	(/.f64 #s(literal 27061/4481 binary64) x)
✓	cost-diff	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
✓	cost-diff	(-.f64 x #s(literal 230753/100000 binary64))
✓	cost-diff	(fma.f64 x #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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
✓	cost-diff	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))

Rules

3 720×	`accelerator-lowering-fma.f32`
3 720×	`accelerator-lowering-fma.f64`
1 160×	`-lowering-.f32`
1 160×	`-lowering-.f64`
712×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	98
1	61	98
2	123	98
3	197	98
4	293	98
5	474	98
6	688	98
7	1161	98
8	2551	98
9	3217	98
10	3681	98
11	3838	98
12	3880	98
13	3907	98
14	3977	98
15	4001	98
16	4001	98
17	4005	98
0	4005	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize105.0ms (1.2%)

Memory

-10.1MiB live, 179.9MiB allocated

Localize:

Found 12 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 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 27061/4481 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
✓	accuracy	100.0%	(-.f64 x #s(literal 230753/100000 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
✓	accuracy	99.9%	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))

Samples

69.0ms

256×

valid

Compiler

Compiled 87 to 30 computations (65.5% saved)

Precisions

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

const: 24.0ms (44.4% of total)

ival-add: 11.0ms (20.3% of total)

ival-mult: 11.0ms (20.3% of total)

ival-div: 3.0ms (5.5% of total)

ival-sub: 3.0ms (5.5% 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

9.6MiB live, 9.6MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (+ (* x 99229/100000) 1)>
#<alt (- x 230753/100000)>
#<alt (+ (* (* x x) -1900161040244073/1000000000000000) x)>
#<alt (* x x)>
#<alt (- x (/ 27061/4481 x))>
#<alt (/ 27061/4481 x)>
#<alt (+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000)>
#<alt (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)>
#<alt (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)>

Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) 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 (* 99229/100000 x))>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt -230753/100000>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1900161040244073/1000000000000000 x)))>
#<alt (* x (+ 1 (* -1900161040244073/1000000000000000 x)))>
#<alt (* x (+ 1 (* -1900161040244073/1000000000000000 x)))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))>
#<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 (/ -27061/4481 x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<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 (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))>
#<alt (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))>
#<alt -1900161040244073/1000000000000000>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* 179503363065659419717/100000000000000000000 x)>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
0.0ms	x	@	0	(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
0.0ms	x	@	-inf	(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000)
0.0ms	x	@	inf	(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
0.0ms	x	@	inf	(+ (* x (+ (* x (+ (* x 179503363065659419717/100000000000000000000) -1900161040244073/1000000000000000)) 30191289437/10000000000)) -230753/100000)

rewrite400.0ms (4.4%)

Memory

30.1MiB live, 582.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 814×	`/-lowering-/.f32`
4 814×	`/-lowering-/.f64`
4 640×	`accelerator-lowering-fma.f32`
4 640×	`accelerator-lowering-fma.f64`
4 068×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	82
1	185	82
2	1556	82
0	8308	69

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 421

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (.f64 x x))) (/.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 #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(fma.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (.f64 x #s(literal 6244406933/10000000000 binary64)))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 977047873985989/1000000000000000 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 99229/100000 binary64)))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal -1 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))
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(.f64 (fma.f64 (.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal -6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)))))
(.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (.f64 (.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1900161040244073/1000000000000000 binary64) (.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))))

simplify473.0ms (5.2%)

Memory

1.2MiB live, 524.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 230×	`accelerator-lowering-fma.f32`
12 230×	`accelerator-lowering-fma.f64`
3 842×	`-lowering-.f32`
3 842×	`-lowering-.f64`
2 636×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	841
1	527	798
2	1344	757
3	4505	748
0	8089	678

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) 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 (* 99229/100000 x))
(+ 1 (* 99229/100000 x))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
-230753/100000
(- x 230753/100000)
(- x 230753/100000)
(- x 230753/100000)
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
x
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(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)
(/ -27061/4481 x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(/ 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
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
30191289437/10000000000
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
-1900161040244073/1000000000000000
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(* 179503363065659419717/100000000000000000000 x)
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* 179503363065659419717/100000000000000000000 x)
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))

Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x)))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
(+.f64 x (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
(+.f64 x (-.f64 #s(literal -27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (-.f64 (/.f64 #s(literal -201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (-.f64 (/.f64 #s(literal -201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 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 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(+.f64 x #s(literal -230753/100000 binary64))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(+.f64 x #s(literal -230753/100000 binary64))
x
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* x (+ 1 (* -1900161040244073/1000000000000000 x)))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* -1900161040244073/1000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (/ 1 x) 1900161040244073/1000000000000000))
(fma.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)) 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)
(pow x 2)
(*.f64 x x)
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 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)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(.f64 x (.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(.f64 x (.f64 x (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (+.f64 (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (/.f64 #s(literal -230753/100000 binary64) (*.f64 x x))))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(.f64 x (.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(.f64 x (.f64 (*.f64 x x) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x)) x))))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
(+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))
(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64))
(+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))
(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 x (.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* 179503363065659419717/100000000000000000000 (pow x 2))
(.f64 x (.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64)))
(* (pow x 2) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 2) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 30191289437/10000000000 binary64) x) (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(* 179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(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 (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))
(* -1 (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))

eval75.0ms (0.8%)

Memory: -25.7MiB live, 205.3MiB allocated
Compiler: Compiled 12 633 to 1 491 computations (88.2% saved)

prune124.0ms (1.4%)

Memory

12.5MiB live, 184.9MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	561	4	565
Fresh	1	6	7
Picked	2	3	5
Done	0	6	6
Total	564	19	583

Accuracy

100.0%

Counts

583 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x)
✓	3.9%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
	50.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
	48.7%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
	48.7%	(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	55.8%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
	17.9%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
	50.0%	(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
	71.5%	(-.f64 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)))))
✓	52.3%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
✓	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
✓	100.0%	(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
	53.9%	(-.f64 x (/.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)))))
✓	53.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	97.8%	(-.f64 x #s(literal 230753/100000 binary64))
	59.2%	(-.f64 x #s(literal 27061/99229 binary64))
	4.1%	(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
✓	53.9%	x
✓	48.1%	#s(literal -230753/100000 binary64)

Compiler

Compiled 529 to 266 computations (49.7% saved)

regimes21.0ms (0.2%)

Memory

2.5MiB live, 41.5MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 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))
(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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 (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
(-.f64 x (/.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 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))) x)
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (fma.f64 (.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 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x 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))))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64)))) x)

Outputs

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

Calls

2 calls:

11.0ms

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

9.0ms

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-0.6MiB live, 36.0MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 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))
(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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 (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
(-.f64 x (/.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 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))

Outputs

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

Calls

2 calls:

9.0ms

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

7.0ms

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

Memory

1.4MiB live, 39.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 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))
(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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 (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
(-.f64 x (/.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)))))

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

Calls

2 calls:

8.0ms

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

7.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-9.9MiB live, 27.6MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(.f64 x (.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) x)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 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))
(-.f64 x (.f64 x (.f64 x #s(literal 1900161040244073/1000000000000000 binary64))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 (-.f64 x (*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 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 (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))

Outputs
(-.f64 x #s(literal 230753/100000 binary64))

Calls

2 calls:

7.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
x
#s(literal -230753/100000 binary64)
x

Calls

2 calls:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`
98.5%	3	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -230753/100000 binary64)

Outputs
#s(literal -230753/100000 binary64)

Calls

2 calls:

1.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.5073366292503433	9.21232913869393
0.0ms	-8832029.242323576	-3.1228476755337837

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify20.0ms (0.2%)

Memory

-6.0MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Rules

132×	`unsub-neg_binary64`
116×	`neg-mul-1_binary64`
72×	`*-commutative_binary64`
66×	`+-commutative_binary64`
58×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	87
1	58	87
2	88	87
3	120	87
4	167	87
5	200	87
6	289	87
7	429	87
8	454	87
9	464	87
10	465	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -5000000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -1/2 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

Outputs
(-.f64 x (/.f64 (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))) #s(literal 1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -5000000 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -1/2 binary64)) #s(literal -230753/100000 binary64) x))
(if (<=.f64 (+.f64 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))))))) #s(literal -5000000 binary64)) x (if (<=.f64 (+.f64 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))))))) #s(literal -1/2 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness692.0ms (7.6%)

Memory

-11.4MiB live, 576.4MiB allocated

Rules

9 368×	`accelerator-lowering-fma.f32`
9 368×	`accelerator-lowering-fma.f64`
9 338×	`accelerator-lowering-fma.f32`
9 338×	`accelerator-lowering-fma.f64`
6 906×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	115
1	204	115
2	1825	115
0	8268	98
0	176	1132
1	485	1124
2	1212	1044
3	3035	1004
0	8324	897
0	14	64
1	84	64
2	730	64
0	8408	53
0	128	590
1	360	582
2	869	556
3	2171	520
4	6808	520
0	8193	466

Stop Event

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

Compiler

Compiled 175 to 101 computations (42.3% saved)

preprocess52.0ms (0.6%)

Memory: 17.8MiB live, 98.0MiB allocated
Compiler: Compiled 212 to 98 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	34	87
1	58	87
2	88	87
3	120	87
4	167	87
5	200	87
6	289	87
7	429	87
8	454	87
9	464	87
10	465	87

Iter	Nodes	Cost
0	34	87
1	58	87
2	88	87
3	120	87
4	167	87
5	200	87
6	289	87
7	429	87
8	454	87
9	464	87
10	465	87

analyze5.0ms (0.1%)

sample1.9s (20.9%)

preprocess198.0ms (2.2%)

explain201.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (0.9%)

localize53.0ms (0.6%)

series9.0ms (0.1%)

rewrite696.0ms (7.7%)

simplify282.0ms (3.1%)

eval79.0ms (0.9%)

prune111.0ms (1.2%)

simplify254.0ms (2.8%)

localize116.0ms (1.3%)

series9.0ms (0.1%)

rewrite328.0ms (3.6%)

simplify290.0ms (3.2%)

eval79.0ms (0.9%)

prune84.0ms (0.9%)

simplify387.0ms (4.3%)

localize110.0ms (1.2%)

series6.0ms (0.1%)

rewrite886.0ms (9.8%)

simplify435.0ms (4.8%)

eval110.0ms (1.2%)

prune79.0ms (0.9%)

simplify244.0ms (2.7%)

localize105.0ms (1.2%)

series6.0ms (0.1%)

rewrite400.0ms (4.4%)

simplify473.0ms (5.2%)

eval75.0ms (0.8%)

prune124.0ms (1.4%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness692.0ms (7.6%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	34	87
1	58	87
2	88	87
3	120	87
4	167	87
5	200	87
6	289	87
7	429	87
8	454	87
9	464	87
10	465	87