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

analyze5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (24.3%)

Memory

-3.6MiB live, 2 112.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

const: 500.0ms (42.6% of total)

ival-mult: 212.0ms (18.1% of total)

ival-sub: 197.0ms (16.8% of total)

ival-add: 147.0ms (12.5% of total)

ival-div: 104.0ms (8.9% of total)

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

exact: 4.0ms (0.3% of total)

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

Bogosity

preprocess222.0ms (2.6%)

Memory

21.3MiB live, 144.2MiB 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)))))

explain385.0ms (4.4%)

Memory

-19.7MiB live, 460.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
62	-	-	`(/.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

90.0ms

512×

valid

Compiler

Compiled 180 to 60 computations (66.7% saved)

Precisions

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

const: 24.0ms (51.7% of total)

ival-mult: 9.0ms (19.4% of total)

ival-add: 6.0ms (12.9% of total)

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

ival-sub: 2.0ms (4.3% 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

1.9MiB live, 1.9MiB 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)

simplify125.0ms (1.4%)

Memory

-4.8MiB live, 115.7MiB 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)

localize80.0ms (0.9%)

Memory

22.4MiB live, 100.1MiB 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	99.5%	(*.f64 x #s(literal 27061/100000 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 4481/100000 binary64))
✓	accuracy	77.4%	(/.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

50.0ms

256×

valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 31.0ms (74.3% of total)

ival-mult: 5.0ms (12% of total)

ival-add: 3.0ms (7.2% of total)

ival-div: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

-23.6MiB live, 15.7MiB 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 4481/100000)>
#<alt (* x 27061/100000)>
#<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 (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
0.0ms	x	@	-inf	(+ 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	(+ 230753/100000 (* x 27061/100000))
0.0ms	x	@	-inf	(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))

rewrite338.0ms (3.9%)

Memory

22.8MiB live, 695.2MiB 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 4481/100000)
(* x 27061/100000)
(* (+ 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)))))

simplify251.0ms (2.9%)

Memory

-11.3MiB live, 550.4MiB 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))
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))

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

eval72.0ms (0.8%)

Memory: 22.1MiB live, 216.4MiB allocated
Compiler: Compiled 18 059 to 2 017 computations (88.8% saved)

prune66.0ms (0.8%)

Memory

-15.0MiB live, 198.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	559	8	567
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	560	8	568

Accuracy

100.0%

Counts

568 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
	60.6%	(fma.f64 x #s(literal 30191289437/10000000000 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))))
▶	47.7%	(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
	48.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
▶	98.1%	(-.f64 x #s(literal 230753/100000 binary64))
	48.8%	x
▶	53.4%	#s(literal -230753/100000 binary64)

Compiler

Compiled 104 to 76 computations (26.9% saved)

simplify168.0ms (1.9%)

Memory

-13.2MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

2 608×	`accelerator-lowering-fma.f32`
2 608×	`accelerator-lowering-fma.f64`
1 056×	`-lowering-.f32`
1 056×	`-lowering-.f64`
568×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	108
1	59	108
2	108	108
3	157	108
4	278	108
5	512	108
6	927	108
7	1530	108
8	2619	108
9	3277	108
10	3479	108
11	3598	108
12	3660	108
13	3672	108
14	3674	108
15	3674	108
0	3674	95

Stop Event

1×	iter limit
1×	saturated

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

localize94.0ms (1.1%)

Memory

19.2MiB live, 256.0MiB allocated

Localize:

Found 11 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	99.7%	(/.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	99.9%	(fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	accuracy	100.0%	(-.f64 x #s(literal 230753/100000 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
✓	accuracy	77.4%	(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))

Samples

67.0ms

256×

valid

Compiler

Compiled 97 to 30 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

const: 27.0ms (51.7% of total)

ival-mult: 8.0ms (15.3% of total)

ival-div: 6.0ms (11.5% of total)

ival-add: 6.0ms (11.5% of total)

ival-sub: 5.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-20.8MiB live, 20.4MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#<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 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 (- 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 -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 30191289437/10000000000>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* -1900161040244073/1000000000000000 x)>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 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 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 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
0.0ms	x	@	0	(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms	x	@	-inf	(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000)
0.0ms	x	@	inf	(+ (* x (+ (* x -1900161040244073/1000000000000000) 30191289437/10000000000)) -230753/100000)
0.0ms	x	@	0	(/ -1651231776/20079361 x)

rewrite340.0ms (3.9%)

Memory

13.9MiB live, 514.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 172×	`/-lowering-/.f32`
5 172×	`/-lowering-/.f64`
4 182×	`accelerator-lowering-fma.f32`
4 182×	`accelerator-lowering-fma.f64`
3 828×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	92
1	191	92
2	1636	92
0	8602	79

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 383

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (.f64 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (.f64 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (-.f64 x (/.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x)
(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 (fma.f64 x #s(literal 4481/100000 binary64) #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 (fma.f64 x #s(literal 4481/100000 binary64) #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 (fma.f64 x #s(literal 4481/100000 binary64) #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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #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 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.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 #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 (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 (/.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))))) #s(literal 1 binary64)))
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simplify603.0ms (6.9%)

Memory

20.0MiB live, 387.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 476×	`accelerator-lowering-fma.f32`
8 476×	`accelerator-lowering-fma.f64`
2 882×	`-lowering-.f32`
2 882×	`-lowering-.f64`
2 290×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	892
1	452	884
2	1104	826
3	2748	786
0	8119	712

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

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

eval84.0ms (1%)

Memory: -12.0MiB live, 104.7MiB allocated
Compiler: Compiled 12 869 to 1 519 computations (88.2% saved)

prune53.0ms (0.6%)

Memory

11.6MiB live, 86.8MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	523	4	527
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	524	11	535

Accuracy

100.0%

Counts

535 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	54.3%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
▶	60.6%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
	17.8%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
▶	47.7%	(-.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 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
	49.0%	(-.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)))))
▶	48.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	98.1%	(-.f64 x #s(literal 230753/100000 binary64))
▶	48.8%	x
✓	53.4%	#s(literal -230753/100000 binary64)

Compiler

Compiled 149 to 102 computations (31.5% saved)

simplify214.0ms (2.5%)

Memory

5.2MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	320	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 27061/4481 binary64) x)
✓	cost-diff	0	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	cost-diff	0	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))

Rules

4 388×	`accelerator-lowering-fma.f32`
4 388×	`accelerator-lowering-fma.f64`
2 792×	`-lowering-.f32`
2 792×	`-lowering-.f64`
1 534×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	33	71
2	65	71
3	99	71
4	150	71
5	257	71
6	448	67
7	1221	67
8	2628	67
9	3913	67
10	4741	67
11	5541	67
12	6745	67
13	7597	67
0	8010	62

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (* 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 (/ 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) -1900161040244073/1000000000000000) (+ (* x 30191289437/10000000000) -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)
(*.f64 x x)
x
-1900161040244073/1000000000000000
#s(literal -1900161040244073/1000000000000000 binary64)
(+ (* x 30191289437/10000000000) -230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 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)

localize68.0ms (0.8%)

Memory

-3.8MiB live, 108.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
✓	accuracy	77.3%	(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	accuracy	99.7%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 27061/4481 binary64) x)
✓	accuracy	99.7%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

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

const: 14.0ms (43% of total)

ival-div: 6.0ms (18.4% of total)

ival-mult: 6.0ms (18.4% of total)

ival-add: 3.0ms (9.2% of total)

ival-sub: 2.0ms (6.1% of total)

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

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

series4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

8 → 96

Calls

Call 1

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

Outputs
#<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 (/ -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 (* -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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1651231776/20079361 (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)))>

Calls

24 calls:

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

rewrite336.0ms (3.9%)

Memory

-13.5MiB live, 503.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 220×	`accelerator-lowering-fma.f32`
7 220×	`accelerator-lowering-fma.f64`
4 168×	`/-lowering-/.f32`
4 168×	`/-lowering-/.f64`
4 112×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	113	50
2	1046	50
0	8342	43

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 337

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (neg.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal -230753/100000 binary64) (.f64 x #s(literal -30191289437/10000000000 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (+.f64 #s(literal -230753/100000 binary64) (.f64 x #s(literal -30191289437/10000000000 binary64)))))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (neg.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -230753/100000 binary64) (.f64 x #s(literal -30191289437/10000000000 binary64))) (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))) (+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #s(literal 53246947009/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)))) (neg.f64 (+.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))) (.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64)) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27519781727879580139643921576453/1000000000000000000000000000000 binary64) #s(literal -12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal 6966730611456061/1000000000000000 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64) #s(literal -53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))))
(.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (.f64 (.f64 x x) #s(literal 911513957868707776969/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -230753/100000 binary64) (.f64 x #s(literal -30191289437/10000000000 binary64)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(+.f64 (/.f64 #s(literal -27061/4481 binary64) x) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))) (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal -27061/4481 binary64) x))
(fma.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 #s(literal 27061/4481 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (/.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(fma.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal -27061/4481 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (/.f64 #s(literal 19816708627981/89975616641 binary64) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -27061/4481 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -27061/4481 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -27061/4481 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 #s(literal -27061/4481 binary64) x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 27061/4481 binary64) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -27061/4481 binary64) x))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -19816708627981/89975616641 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 (/.f64 #s(literal 27061/4481 binary64) x) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal -19816708627981/89975616641 binary64) (.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (*.f64 x (/.f64 #s(literal -27061/4481 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x)) (.f64 x (/.f64 #s(literal -27061/4481 binary64) x)))) (fma.f64 x (.f64 x x) (/.f64 #s(literal -19816708627981/89975616641 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x x) (/.f64 #s(literal 732297721/20079361 binary64) (.f64 x x))) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -27061/4481 binary64) x)))))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal 44683983090336/89975616641 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (.f64 x #s(literal 44683983090336/89975616641 binary64))) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
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(*.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x) (/.f64 #s(literal 1 binary64) x))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (.f64 x #s(literal 44683983090336/89975616641 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
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(.f64 (pow.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal 44683983090336/89975616641 binary64)))) x))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) x))
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(+.f64 (*.f64 x #s(literal 27061/4481 binary64)) #s(literal -1651231776/20079361 binary64))
(+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (neg.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(-.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (+.f64 #s(literal -1651231776/20079361 binary64) (.f64 x #s(literal -27061/4481 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (+.f64 #s(literal -1651231776/20079361 binary64) (.f64 x #s(literal -27061/4481 binary64)))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (neg.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(neg.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (.f64 x #s(literal 44683983090336/89975616641 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) (.f64 x #s(literal 44683983090336/89975616641 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) (.f64 x #s(literal 44683983090336/89975616641 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (.f64 x #s(literal -27061/4481 binary64))) (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (.f64 x #s(literal 44683983090336/89975616641 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) (.f64 x #s(literal 44683983090336/89975616641 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64))) (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) #s(literal 2726566378072114176/403180738168321 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (.f64 x #s(literal 44683983090336/89975616641 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)))) (neg.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (fma.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) (.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal 44683983090336/89975616641 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) (*.f64 x #s(literal 44683983090336/89975616641 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal 44683983090336/89975616641 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (.f64 (.f64 x x) #s(literal 732297721/20079361 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1651231776/20079361 binary64) (.f64 x #s(literal -27061/4481 binary64)))))

simplify364.0ms (4.2%)

Memory

-117.6MiB live, 308.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 322×	`accelerator-lowering-fma.f32`
7 322×	`accelerator-lowering-fma.f64`
3 184×	`-lowering-.f32`
3 184×	`-lowering-.f64`
1 532×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	532
1	193	532
2	467	492
3	1092	488
4	3654	486
5	7142	462
0	8085	429

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
-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)))
(/ -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 (* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1651231776/20079361 (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)))

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))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(/ -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 (* -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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1651231776/20079361 (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 x (/.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 x (/.f64 (fma.f64 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 (/.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 (/.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 (/.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 (/.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
#s(literal -1651231776/20079361 binary64)
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* 27061/4481 x)
(*.f64 x #s(literal 27061/4481 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* 27061/4481 x)
(*.f64 x #s(literal 27061/4481 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))

eval62.0ms (0.7%)

Memory: -3.6MiB live, 115.9MiB allocated
Compiler: Compiled 10 773 to 1 050 computations (90.3% saved)

prune51.0ms (0.6%)

Memory

-24.5MiB live, 95.5MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	2	2
Picked	0	5	5
Done	0	4	4
Total	507	11	518

Accuracy

100.0%

Counts

518 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	54.3%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	60.6%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
▶	17.8%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
✓	47.7%	(-.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 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
▶	49.0%	(-.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)))))
✓	48.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	98.1%	(-.f64 x #s(literal 230753/100000 binary64))
✓	48.8%	x
✓	53.4%	#s(literal -230753/100000 binary64)

Compiler

Compiled 89 to 62 computations (30.3% saved)

simplify368.0ms (4.2%)

Memory

21.0MiB live, 369.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

12 836×	`accelerator-lowering-fma.f32`
12 836×	`accelerator-lowering-fma.f64`
2 068×	`-lowering-.f32`
2 068×	`-lowering-.f64`
1 800×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
1	45	83
2	82	83
3	130	83
4	225	83
5	417	83
6	778	79
7	1821	79
8	3400	79
9	4335	79
10	5273	79
11	6261	79
12	6619	79
13	6713	79
14	7775	79
0	8033	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize69.0ms (0.8%)

Memory

-13.9MiB live, 102.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal -27061/4481 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64))
✓	accuracy	70.7%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
✓	accuracy	77.0%	(/.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))))

Samples

48.0ms

256×

valid

Compiler

Compiled 73 to 21 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

const: 18.0ms (46.5% of total)

ival-mult: 12.0ms (31% of total)

ival-add: 5.0ms (12.9% of total)

ival-div: 3.0ms (7.7% of total)

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

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

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

series4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
#<alt (/ -230753/99229 x)>
#<alt (/ (- (* -1651231776/9846394441 x) 230753/99229) x)>
#<alt (/ (- (* x (- (* 984447043574245/977047873985989 x) 1651231776/9846394441)) 230753/99229) x)>
#<alt (/ (- (* x (- (* x (+ 984447043574245/977047873985989 (* -33155678924975136/96951483487755702481 x))) 1651231776/9846394441)) 230753/99229) x)>
#<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))) (* 163850077900704/89975616641 (/ 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 (* 163850077900704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<alt (/ 230753/99229 x)>
#<alt (/ (+ 230753/99229 (* 1651231776/9846394441 x)) x)>
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x)>
#<alt (/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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 (* 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))))>
#<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>
#<alt (+ 1651231776/20079361 (* -27061/4481 x))>
#<alt (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))>
#<alt (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt -27061/4481>
#<alt (- (pow x 2) 27061/4481)>
#<alt (- (pow x 2) 27061/4481)>
#<alt (- (pow x 2) 27061/4481)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(- x (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))))
0.0ms	x	@	inf	(/ (+ (* x (+ (* x x) -27061/4481)) 1651231776/20079361) (* x x))
0.0ms	x	@	-inf	(/ (+ (* x (+ (* x x) -27061/4481)) 1651231776/20079361) (* x x))
0.0ms	x	@	0	(/ (+ (* x (+ (* x x) -27061/4481)) 1651231776/20079361) (* x x))
0.0ms	x	@	inf	(- x (/ (+ (* x 27061/100000) 230753/100000) (* x (+ (* x 4481/100000) 99229/100000))))

rewrite341.0ms (3.9%)

Memory

34.0MiB live, 470.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 592×	`accelerator-lowering-fma.f32`
5 592×	`accelerator-lowering-fma.f64`
4 390×	`/-lowering-/.f32`
4 390×	`/-lowering-/.f64`
4 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	130	75
2	1087	75
0	8448	63

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 459

Calls

Call 1

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

Outputs
(+.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 (/.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)))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.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)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))) (neg.f64 (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (.f64 (.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))) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (+.f64 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 (/.f64 (.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)))))) (neg.f64 (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (.f64 (.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 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)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.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)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))) (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (.f64 (.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))) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (+.f64 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 (/.f64 (.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 (/.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 (.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 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)))))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.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)))))) (neg.f64 (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (.f64 (.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 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))))))))
(fma.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (+.f64 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)))))))) (neg.f64 (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (.f64 (.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))) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) (fma.f64 x x (.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (+.f64 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))))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) x)
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) x)
(fma.f64 (/.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) 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)))) x)
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -27061/4481 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -27061/4481 binary64) (.f64 x x)) (-.f64 #s(literal 732297721/20079361 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -732297721/20079361 binary64)) (fma.f64 x x #s(literal 27061/4481 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -27061/4481 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64))) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 732297721/20079361 binary64)) (.f64 (.f64 x x) #s(literal 27061/4481 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64))) (neg.f64 (+.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 27061/4481 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -732297721/20079361 binary64))) (fma.f64 x (neg.f64 x) #s(literal -27061/4481 binary64)))
(/.f64 (-.f64 #s(literal 732297721/20079361 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -27061/4481 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (.f64 (fma.f64 x x #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))) (.f64 (fma.f64 x x #s(literal 27061/4481 binary64)) (fma.f64 x x #s(literal 27061/4481 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 732297721/20079361 binary64)) (.f64 (.f64 x x) #s(literal 27061/4481 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -732297721/20079361 binary64)))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal -27061/4481 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal -27061/4481 binary64) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (fma.f64 (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64)))) (.f64 (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 27061/4481 binary64))) (/.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x x #s(literal 27061/4481 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -27061/4481 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 732297721/20079361 binary64)) (.f64 (*.f64 x x) #s(literal 27061/4481 binary64)))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 732297721/20079361 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 27061/4481 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -27061/4481 binary64)))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -732297721/20079361 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 27061/4481 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -19816708627981/89975616641 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 732297721/20079361 binary64)) (.f64 (*.f64 x x) #s(literal 27061/4481 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -732297721/20079361 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal -27061/4481 binary64))))
(.f64 (-.f64 #s(literal 732297721/20079361 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -27061/4481 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64)))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (neg.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(neg.f64 (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (.f64 x #s(literal -444645149/10000000000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) (.f64 x #s(literal -444645149/10000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) (.f64 x #s(literal -444645149/10000000000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 99229/100000 binary64) (.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (.f64 x #s(literal -444645149/10000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) (.f64 x #s(literal -444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (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 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (.f64 x #s(literal -444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))) (.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64))
(.f64 (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) (fma.f64 (.f64 x x) #s(literal 20079361/10000000000 binary64) (*.f64 x #s(literal -444645149/10000000000 binary64))))))
(*.f64 #s(literal 1 binary64) (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)) (/.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) (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)))))

simplify734.0ms (8.4%)

Memory

-17.6MiB live, 526.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 040×	`accelerator-lowering-fma.f32`
9 040×	`accelerator-lowering-fma.f64`
3 134×	`-lowering-.f32`
3 134×	`-lowering-.f64`
2 106×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	756
1	391	748
2	962	742
3	2580	638
4	7701	638
0	8561	577

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ -230753/99229 x)
(/ (- (* -1651231776/9846394441 x) 230753/99229) x)
(/ (- (* x (- (* 984447043574245/977047873985989 x) 1651231776/9846394441)) 230753/99229) x)
(/ (- (* x (- (* x (+ 984447043574245/977047873985989 (* -33155678924975136/96951483487755702481 x))) 1651231776/9846394441)) 230753/99229) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 163850077900704/89975616641 (/ 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 (* 163850077900704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(/ 230753/99229 x)
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x)
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x)
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x)
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 163850077900704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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))))
(* 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))))
(/ 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
(+ 1651231776/20079361 (* -27061/4481 x))
(+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))
(+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))
(pow x 3)
(* (pow x 3) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
-27061/4481
(- (pow x 2) 27061/4481)
(- (pow x 2) 27061/4481)
(- (pow x 2) 27061/4481)
(pow x 2)
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))

Outputs
(/ -230753/99229 x)
(/.f64 #s(literal -230753/99229 binary64) x)
(/ (- (* -1651231776/9846394441 x) 230753/99229) x)
(+.f64 #s(literal -1651231776/9846394441 binary64) (/.f64 #s(literal -230753/99229 binary64) x))
(/ (- (* x (- (* 984447043574245/977047873985989 x) 1651231776/9846394441)) 230753/99229) x)
(+.f64 (fma.f64 x #s(literal 984447043574245/977047873985989 binary64) #s(literal -1651231776/9846394441 binary64)) (/.f64 #s(literal -230753/99229 binary64) x))
(/ (- (* x (- (* x (+ 984447043574245/977047873985989 (* -33155678924975136/96951483487755702481 x))) 1651231776/9846394441)) 230753/99229) x)
(+.f64 (fma.f64 x (fma.f64 x #s(literal -33155678924975136/96951483487755702481 binary64) #s(literal 984447043574245/977047873985989 binary64)) #s(literal -1651231776/9846394441 binary64)) (/.f64 #s(literal -230753/99229 binary64) 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 (/.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))) (* 163850077900704/89975616641 (/ 1 (pow x 4))))))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -163850077900704/89975616641 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 (* 163850077900704/89975616641 (/ 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 -163850077900704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
(/ 230753/99229 x)
(/.f64 #s(literal 230753/99229 binary64) x)
(/ (+ 230753/99229 (* 1651231776/9846394441 x)) x)
(/.f64 (fma.f64 x #s(literal 1651231776/9846394441 binary64) #s(literal 230753/99229 binary64)) x)
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* -7399169588256/977047873985989 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -7399169588256/977047873985989 binary64) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x)
(/ (+ 230753/99229 (* x (+ 1651231776/9846394441 (* x (- (* 33155678924975136/96951483487755702481 x) 7399169588256/977047873985989))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 33155678924975136/96951483487755702481 binary64) #s(literal -7399169588256/977047873985989 binary64)) #s(literal 1651231776/9846394441 binary64)) #s(literal 230753/99229 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (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 -163850077900704/89975616641 binary64) x)) x)) x)
(/ (- (+ 27061/4481 (/ 163850077900704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 16258679380008957216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16258679380008957216/403180738168321 binary64) x) #s(literal -163850077900704/89975616641 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 (/ (- (* 163850077900704/89975616641 (/ 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 -163850077900704/89975616641 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16258679380008957216/403180738168321 (/ 1 x)) 163850077900704/89975616641) 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 16258679380008957216/403180738168321 binary64) x) #s(literal -163850077900704/89975616641 binary64)) x)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 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)))
(/ 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 (/.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)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) 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 (- (* 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))
1651231776/20079361
#s(literal 1651231776/20079361 binary64)
(+ 1651231776/20079361 (* -27061/4481 x))
(fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64))
(+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))
(fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64))
(+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481)))
(fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)))
(* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (fma.f64 x x #s(literal -27061/4481 binary64))))
(* (pow x 3) (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (fma.f64 x x #s(literal -27061/4481 binary64))))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(*.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)))
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (fma.f64 x x #s(literal -27061/4481 binary64))))
(* -1 (* (pow x 3) (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) (fma.f64 x x #s(literal -27061/4481 binary64))))
-27061/4481
#s(literal -27061/4481 binary64)
(- (pow x 2) 27061/4481)
(fma.f64 x x #s(literal -27061/4481 binary64))
(- (pow x 2) 27061/4481)
(fma.f64 x x #s(literal -27061/4481 binary64))
(- (pow x 2) 27061/4481)
(fma.f64 x x #s(literal -27061/4481 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 binary64))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 binary64))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 binary64))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 binary64))
(* (pow x 2) (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -27061/4481 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)
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))

eval286.0ms (3.3%)

Memory: 11.6MiB live, 134.7MiB allocated
Compiler: Compiled 14 659 to 1 644 computations (88.8% saved)

prune70.0ms (0.8%)

Memory

27.5MiB live, 179.8MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	566	12	578

Accuracy

100.0%

Counts

578 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(fma.f64 (*.f64 x x) #s(literal -1900161040244073/1000000000000000 binary64) (fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64)))
✓	54.3%	(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
✓	60.6%	(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
✓	17.8%	(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
✓	47.7%	(-.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 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
✓	49.0%	(-.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)))))
	55.6%	(-.f64 x (/.f64 (.f64 x #s(literal 27061/100000 binary64)) (.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
✓	48.8%	(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
✓	98.1%	(-.f64 x #s(literal 230753/100000 binary64))
✓	48.8%	x
✓	53.4%	#s(literal -230753/100000 binary64)

Compiler

Compiled 219 to 120 computations (45.2% saved)

regimes11.0ms (0.1%)

Memory

-14.2MiB live, 25.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms

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

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-20.2MiB live, 19.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	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)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

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
98.7%	3	`x`
98.7%	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

7.5MiB live, 7.5MiB 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
53.4%	1	`x`
53.4%	1	`(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.307522599767242	24.52586116652953
0.0ms	-375.2036213065766	-2.3075300000006247

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify20.0ms (0.2%)

Memory

-18.4MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Rules

92×	`unsub-neg_binary64`
82×	`neg-mul-1_binary64`
56×	`*-commutative_binary64`
46×	`+-commutative_binary64`
42×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	61
1	45	61
2	63	61
3	84	61
4	116	61
5	140	61
6	204	61
7	301	61
8	324	61
9	334	61
10	335	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x #s(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 -200 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 -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)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #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 -200 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 -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 -200 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 -2 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness517.0ms (5.9%)

Memory

10.5MiB live, 280.9MiB allocated

Rules

9 368×	`accelerator-lowering-fma.f32`
9 368×	`accelerator-lowering-fma.f64`
6 906×	`accelerator-lowering-fma.f32`
6 906×	`accelerator-lowering-fma.f64`
5 346×	`-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
0	14	64
1	84	64
2	730	64
0	8408	53

Stop Event

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

Compiler

Compiled 87 to 47 computations (46% saved)

preprocess122.0ms (1.4%)

Memory: -53.3MiB live, 77.5MiB allocated
Compiler: Compiled 160 to 84 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	61
1	45	61
2	63	61
3	84	61
4	116	61
5	140	61
6	204	61
7	301	61
8	324	61
9	334	61
10	335	61

Iter	Nodes	Cost
0	27	61
1	45	61
2	63	61
3	84	61
4	116	61
5	140	61
6	204	61
7	301	61
8	324	61
9	334	61
10	335	61

analyze5.0ms (0.1%)

sample2.1s (24.3%)

preprocess222.0ms (2.6%)

explain385.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (1.4%)

localize80.0ms (0.9%)

series29.0ms (0.3%)

rewrite338.0ms (3.9%)

simplify251.0ms (2.9%)

eval72.0ms (0.8%)

prune66.0ms (0.8%)

simplify168.0ms (1.9%)

localize94.0ms (1.1%)

series8.0ms (0.1%)

rewrite340.0ms (3.9%)

simplify603.0ms (6.9%)

eval84.0ms (1%)

prune53.0ms (0.6%)

simplify214.0ms (2.5%)

localize68.0ms (0.8%)

series4.0ms (0%)

rewrite336.0ms (3.9%)

simplify364.0ms (4.2%)

eval62.0ms (0.7%)

prune51.0ms (0.6%)

simplify368.0ms (4.2%)

localize69.0ms (0.8%)

series4.0ms (0%)

rewrite341.0ms (3.9%)

simplify734.0ms (8.4%)

eval286.0ms (3.3%)

prune70.0ms (0.8%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

soundness517.0ms (5.9%)

preprocess122.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	61
1	45	61
2	63	61
3	84	61
4	116	61
5	140	61
6	204	61
7	301	61
8	324	61
9	334	61
10	335	61