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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1000.0ms (12%)

Memory

3.8MiB live, 1 884.5MiB allocated

Samples

700.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 542.0ms

const: 283.0ms (52.2% of total)

ival-mult: 128.0ms (23.6% of total)

ival-sub: 73.0ms (13.5% of total)

ival-add: 43.0ms (7.9% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain163.0ms (1.9%)

Memory

14.1MiB live, 215.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))`
-	-	`#s(literal 3/25 binary64)`
-	-	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x #s(literal 3/25 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
-	-	`#s(literal 253/1000 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

69.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 99 to 50 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

const: 13.0ms (45.6% of total)

ival-mult: 9.0ms (31.6% of total)

ival-add: 3.0ms (10.5% of total)

ival-sub: 3.0ms (10.5% of total)

ival-true: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess95.0ms (1.1%)

Memory

-16.0MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
248×	`lower-*.f32`
244×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Outputs

(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))

(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify50.0ms (0.6%)

Memory

0.3MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
cost-diff	128	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
248×	`lower-*.f32`
244×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

localize87.0ms (1%)

Memory

-10.4MiB live, 68.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.01171875	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.1171875	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.234375	(*.f64 x #s(literal 3/25 binary64))

Samples

78.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

const: 37.0ms (51.5% of total)

ival-add: 30.0ms (41.8% of total)

ival-mult: 4.0ms (5.6% of total)

ival-sub: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))>
#<alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))>
#<alt (*.f64 x #s(literal 3/25 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	inf	(+ 253/1000 (* x 3/25))
0.0ms	x	@	-inf	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	0	(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms	x	@	-inf	(* x 3/25)

simplify476.0ms (5.7%)

Memory

-10.8MiB live, 347.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
3 798×	`lower-*.f64`
3 798×	`lower-*.f32`
1 542×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))

rewrite860.0ms (10.3%)

Memory

33.9MiB live, 390.8MiB allocated

Rules

4 504×	`lower-fma.f64`
4 504×	`lower-fma.f32`
4 210×	`lower-*.f32`
4 206×	`lower-*.f64`
2 686×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20

Stop Event

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

Counts

4 → 317

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 x #s(literal 3/25 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
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(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) (neg.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x)) (.f64 #s(literal 64009/1000000 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) x) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x)))))) (exp.f64 (log.f64 (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))))
(/.f64 (exp.f64 (log.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))) (exp.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))))
(/.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x)
(.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64009/1000000 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) (.f64 x #s(literal 253/1000 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 262254607552729/1000000000000000000 binary64))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))

eval111.0ms (1.3%)

Memory: -20.9MiB live, 97.0MiB allocated
Compiler: Compiled 8 955 to 928 computations (89.6% saved)

prune46.0ms (0.6%)

Memory

24.2MiB live, 142.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	11	366

Accuracy

100.0%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
▶	99.7%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓	99.8%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
	47.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	55.8%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶	54.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
▶	45.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 212 to 152 computations (28.3% saved)

simplify228.0ms (2.7%)

Memory

-17.5MiB live, 200.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
cost-diff	0	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
cost-diff	0	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
cost-diff	0	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
cost-diff	0	(.f64 x (.f64 x #s(literal -3/25 binary64)))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Rules

2 552×	`lower-fma.f32`
2 540×	`lower-fma.f64`
1 240×	`lower-*.f32`
1 230×	`lower-*.f64`
406×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	130
0	44	128
1	84	128
2	151	124
3	264	124
4	465	124
5	713	124
6	1206	124
7	2398	124
8	3264	124
9	3483	124
10	3551	124
11	3558	124
12	3565	124
13	3565	124
14	3663	124
15	3703	124
16	3703	124
17	3703	124
0	3703	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
#s(literal 1 binary64)
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)

localize119.0ms (1.4%)

Memory

3.9MiB live, 195.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
accuracy	0.12109375	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
accuracy	0.203125	(*.f64 x #s(literal 9/625 binary64))
accuracy	16.119264844101117	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
accuracy	0.1015625	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
accuracy	0.1484375	(.f64 x (.f64 x #s(literal -3/25 binary64)))
accuracy	0.234375	(*.f64 x #s(literal -3/25 binary64))
accuracy	29.149383492877817	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
accuracy	35.01227017463919	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.12109375	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))

Samples

87.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 138 to 31 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

const: 37.0ms (50.5% of total)

ival-mult: 21.0ms (28.7% of total)

ival-add: 11.0ms (15% of total)

ival-div: 2.0ms (2.7% of total)

ival-sub: 2.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-10.9MiB live, 26.4MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))>
#<alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))>
#<alt (.f64 x (.f64 x #s(literal -3/25 binary64)))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))>
#<alt (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<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 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (* -253/1000 x)>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* -253/1000 x)>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))
1.0ms	x	@	-inf	(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))
1.0ms	x	@	0	(* x (* x -3/25))
1.0ms	x	@	inf	(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))
0.0ms	x	@	inf	(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))

simplify245.0ms (2.9%)

Memory

-9.2MiB live, 392.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 614×	`lower-fma.f64`
5 614×	`lower-fma.f32`
3 134×	`lower-*.f64`
3 134×	`lower-*.f32`
1 440×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	976
1	146	966
2	372	946
3	792	946
4	1456	946
5	3177	946
6	5022	946
7	6274	946
8	7596	946
0	8021	817

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(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)
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 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)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(.f64 x (.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

rewrite400.0ms (4.8%)

Memory

15.3MiB live, 725.4MiB allocated

Rules

6 662×	`lower-fma.f32`
6 650×	`lower-fma.f64`
4 422×	`lower-/.f32`
4 420×	`lower-/.f64`
3 476×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	113
0	44	105
1	197	93
2	1714	93
0	8497	88

Stop Event

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

Counts

15 → 677

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(+.f64 (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))
(+.f64 (fma.f64 x (.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))))
(fma.f64 x #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(fma.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -253/1000 binary64))))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (.f64 x #s(literal -253/1000 binary64))))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal -16194277/1000000000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (*.f64 x #s(literal -253/1000 binary64)))))) #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (.f64 (.f64 x x) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (*.f64 x #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (.f64 (.f64 x #s(literal -3/25 binary64)) (.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x))) (-.f64 (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 #s(literal -3/25 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (.f64 (.f64 x #s(literal -3/25 binary64)) (.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))

eval228.0ms (2.7%)

Memory: 22.5MiB live, 214.0MiB allocated
Compiler: Compiled 22 047 to 2 234 computations (89.9% saved)

prune132.0ms (1.6%)

Memory

-19.2MiB live, 303.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	850	7	857
Fresh	4	1	5
Picked	1	4	5
Done	1	0	1
Total	856	12	868

Accuracy

100.0%

Counts

868 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.7%	(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
▶	99.8%	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	47.3%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
	98.7%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
▶	55.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
	54.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	54.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	45.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 204 to 143 computations (29.9% saved)

simplify180.0ms (2.1%)

Memory

-0.9MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
cost-diff	128	(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
cost-diff	0	(*.f64 x #s(literal 9/625 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
cost-diff	0	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
cost-diff	0	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
cost-diff	0	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))

Rules

2 648×	`lower-fma.f32`
2 632×	`lower-fma.f64`
1 304×	`lower-*.f32`
1 298×	`lower-*.f64`
650×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	160
0	55	162
1	108	159
2	201	155
3	475	155
4	886	155
5	1448	155
6	2513	155
7	3220	155
8	3556	155
9	3644	155
10	3694	155
11	3715	155
12	3947	155
13	4061	155
14	4061	155
15	4067	155
0	4067	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal -253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)

localize121.0ms (1.4%)

Memory

7.8MiB live, 244.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
accuracy	0.125	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
accuracy	0.171875	(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
accuracy	0.203125	(*.f64 x #s(literal 9/625 binary64))
accuracy	0.09375	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
accuracy	0.12109375	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
accuracy	0.203125	(*.f64 x #s(literal 9/625 binary64))
accuracy	16.119264844101117	(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
accuracy	0.1171875	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
accuracy	0.12109375	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
accuracy	28.22510552728018	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
accuracy	0.08203125	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	34.16743091128028	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
accuracy	0.01171875	(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.08203125	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
accuracy	0.234375	(*.f64 x #s(literal 3/25 binary64))

Samples

76.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 172 to 34 computations (80.2% saved)

Precisions

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

const: 23.0ms (38.7% of total)

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

ival-add: 9.0ms (15.2% of total)

ival-div: 8.0ms (13.5% of total)

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

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))>
#<alt (fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 3/25 binary64))>
#<alt (fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))>
#<alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))>
#<alt (neg.f64 x)>
#<alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))>

Outputs
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	inf	(/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x -3/25) 253/1000))
0.0ms	x	@	inf	(/ (neg x) (+ (* x 3/25) -253/1000))
0.0ms	x	@	0	(/ (neg x) (+ (* x 3/25) -253/1000))

simplify248.0ms (3%)

Memory

-5.5MiB live, 406.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 578×	`lower-fma.f64`
6 578×	`lower-fma.f32`
2 856×	`lower-*.f64`
2 856×	`lower-*.f32`
2 378×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1137
1	263	1116
2	648	1074
3	1347	1074
4	2503	1070
5	5498	1070
0	8604	917

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))

Outputs
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 1000/253 x)
(*.f64 x #s(literal 1000/253 binary64))
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 x (fma.f64 x #s(literal 120000/64009 binary64) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

rewrite361.0ms (4.3%)

Memory

-18.3MiB live, 569.8MiB allocated

Rules

4 824×	`lower-/.f32`
4 820×	`lower-/.f64`
4 762×	`lower-fma.f32`
4 748×	`lower-fma.f64`
4 624×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	129
0	55	111
1	235	96
2	2114	96
0	9108	96

Stop Event

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

Counts

17 → 1 361

Calls

Call 1

Inputs
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(neg.f64 x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))

Outputs
(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(-.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64)) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (-.f64 #s(literal -253/1000 binary64) (.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))))) (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) (neg.f64 x) #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 (neg.f64 x) #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (neg.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (neg.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) (neg.f64 (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (.f64 (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64)))) (.f64 (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal 4097152081/1000000000000 binary64)) (.f64 (.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))

eval203.0ms (2.4%)

Memory: 39.6MiB live, 337.1MiB allocated
Compiler: Compiled 40 006 to 2 283 computations (94.3% saved)

prune183.0ms (2.2%)

Memory

-21.6MiB live, 234.8MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 629	6	1 635
Fresh	3	0	3
Picked	3	2	5
Done	0	4	4
Total	1 635	12	1 647

Accuracy

100.0%

Counts

1 647 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	98.6%	(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
▶	62.3%	(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
✓	47.3%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	55.7%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
✓	55.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶	55.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
▶	3.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
▶	54.3%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
✓	54.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	45.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 158 to 104 computations (34.2% saved)

simplify302.0ms (3.6%)

Memory

-6.9MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 9/625 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
cost-diff	0	#s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))
cost-diff	0	(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(literal -3/25 binary64))
cost-diff	0	(.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
cost-diff	128	(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -3/25 binary64) (.f64 x x))
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
cost-diff	0	(.f64 x (.f64 x #s(literal 9/625 binary64)))
cost-diff	0	#s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))
cost-diff	0	(/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
cost-diff	0	(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))

Rules

3 400×	`lower-fma.f32`
3 392×	`lower-fma.f64`
1 800×	`lower-*.f32`
1 786×	`lower-*.f64`
788×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	226
0	56	226
1	98	226
2	169	226
3	259	219
4	402	219
5	617	219
6	1190	219
7	2027	219
8	3111	219
9	3815	219
10	4313	219
11	4583	219
12	4683	219
13	4719	219
14	4757	219
15	5083	219
16	5275	219
17	5371	219
18	5533	219
19	5533	219
20	5533	219
21	5533	219
22	5533	219
23	5539	219
0	5539	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
#s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
x
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
#s(literal -3/25 binary64)
(*.f64 x x)
x
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
x
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))
#s(literal -25/3 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
#s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
x
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -3/25 binary64)))
#s(literal -3/25 binary64)
(*.f64 x x)
x
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))
#s(literal -25/3 binary64)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
#s(literal 1 binary64)

localize107.0ms (1.3%)

Memory

37.2MiB live, 147.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
accuracy	0.125	(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
accuracy	0.203125	(*.f64 x #s(literal 9/625 binary64))
accuracy	28.707172631368042	#s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))
accuracy	0.01171875	(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
accuracy	0.1171875	(.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
accuracy	0.234375	(*.f64 x #s(literal -3/25 binary64))
accuracy	28.22510552728018	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.18359375	(.f64 #s(literal -3/25 binary64) (.f64 x x))
accuracy	29.149383492877817	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
accuracy	0.1171875	(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
accuracy	28.22510552728018	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
accuracy	34.16743091128028	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
accuracy	0.16015625	(.f64 x (.f64 x #s(literal 9/625 binary64)))
accuracy	0.203125	(*.f64 x #s(literal 9/625 binary64))
accuracy	16.119264844101117	(/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
accuracy	28.644239323865015	#s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))

Samples

72.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 191 to 34 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 22.0ms (38.4% of total)

ival-mult: 17.0ms (29.7% of total)

ival-add: 9.0ms (15.7% of total)

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

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

ival-neg: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

-36.8MiB live, 6.1MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))>
#<alt (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 9/625 binary64)))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))>
#<alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))>
#<alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal -3/25 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))>
#<alt (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt (* 9/625 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (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 -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 1000/253 x)>
#<alt (* x (+ 1000/253 (* 120000/64009 x)))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))>
#<alt (* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt -25/3>
#<alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)>
#<alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (/ (neg x) (+ (* x 3/25) -253/1000)) (+ (* x (* x 9/625)) -64009/1000000)) 1)
0.0ms	x	@	inf	(* x (* x 9/625))
0.0ms	x	@	0	(* x (* x 9/625))
0.0ms	x	@	inf	(* -3/25 (* x x))
0.0ms	x	@	0	(+ (* (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1)

simplify239.0ms (2.9%)

Memory

46.0MiB live, 356.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 348×	`lower-fma.f64`
6 348×	`lower-fma.f32`
2 786×	`lower-*.f64`
2 786×	`lower-*.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1290
1	237	1288
2	586	1200
3	1211	1200
4	2280	1196
5	5237	1196
0	8452	1052

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
(* 9/625 (pow x 2))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (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)
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.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)
(pow x 2)
(*.f64 x x)
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 1000/253 x)
(*.f64 x #s(literal 1000/253 binary64))
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 x (fma.f64 x #s(literal 120000/64009 binary64) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal 1000/253 binary64)))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal -1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(+.f64 (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal -25/3 binary64))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal -16194277/207360 binary64) x)) x)) x))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))

rewrite409.0ms (4.9%)

Memory

-0.3MiB live, 426.5MiB allocated

Rules

5 868×	`lower-fma.f32`
5 860×	`lower-fma.f64`
4 730×	`lower-/.f32`
4 728×	`lower-/.f64`
3 836×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	202
0	56	202
1	204	181
2	1503	179
0	8469	170

Stop Event

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

Counts

18 → 429

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
#s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))
(.f64 x (.f64 x #s(literal 9/625 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(+.f64 (.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (.f64 x #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (fma.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (.f64 x #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (fma.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 x #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64))))) (.f64 x #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))))) (.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))))
(fma.f64 x (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
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(.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/390625 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -64009/1000000 binary64) (.f64 x (*.f64 x #s(literal 9/625 binary64))))))
(*.f64 x #s(literal 9/625 binary64))
(*.f64 #s(literal 9/625 binary64) x)

eval84.0ms (1%)

Memory: 5.7MiB live, 121.2MiB allocated
Compiler: Compiled 14 910 to 1 263 computations (91.5% saved)

prune102.0ms (1.2%)

Memory

-16.9MiB live, 157.0MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	656	3	659
Fresh	1	0	1
Picked	1	4	5
Done	0	6	6
Total	658	13	671

Accuracy

100.0%

Counts

671 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	98.6%	(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
	62.3%	(fma.f64 (.f64 #s(approx (/ (neg x) (+ ( x 3/25) -253/1000)) #s(literal -25/3 binary64)) (.f64 x x)) #s(literal 9/625 binary64) (fma.f64 #s(literal -64009/1000000 binary64) #s(approx (/ (neg x) (+ ( x 3/25) -253/1000)) #s(literal -25/3 binary64)) #s(literal 1 binary64)))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	62.3%	(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
	97.9%	(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 1 binary64))
✓	47.3%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	55.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓	55.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
✓	3.8%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
✓	54.3%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
✓	54.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	45.3%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 371 to 145 computations (60.9% saved)

regimes24.0ms (0.3%)

Memory

1.6MiB live, 40.1MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x (-.f64 (.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (neg x) (+ (* x 3/25) -253/1000)) #s(literal -25/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(approx (/ (neg x) (+ ( x 3/25) -253/1000)) #s(literal -25/3 binary64)) (.f64 x x)) #s(literal 9/625 binary64) (fma.f64 #s(literal -64009/1000000 binary64) #s(approx (/ (neg x) (+ ( x 3/25) -253/1000)) #s(literal -25/3 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (.f64 x (.f64 x #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (+ ( x (* x 9/625)) -64009/1000000) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

8.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
7.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-23.7MiB live, 18.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))

Calls

3 calls:

5.0ms	x
3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.2%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))

Calls

2 calls:

3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.5%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.5%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
47.3%	1	`x`
47.3%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
47.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
46.9%	2	`x`
45.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
45.3%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
45.3%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
45.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0631505121433939e-6	441486801.45028067

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0631505121433939e-6	441486801.45028067

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-441486800.45028067	0.9999989368494878

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch35.0ms (0.4%)

Memory

-15.4MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.202167561889042e-6	60654.17380144509

Samples

27.0ms

160×

valid

Compiler

Compiled 123 to 82 computations (33.3% saved)

Precisions

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

const: 20.0ms (82.9% of total)

ival-mult: 2.0ms (8.3% of total)

ival-sub: 1.0ms (4.1% of total)

ival-add: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	194
1	67	194
2	78	194
3	88	194
4	103	194
5	110	194
6	114	194
7	115	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -400000000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64)))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 #s(literal -3/25 binary64) (.f64 x x))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -400000000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64)))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

soundness1.4s (16.7%)

Memory

-175.8MiB live, 796.8MiB allocated

Rules

6 662×	`lower-fma.f32`
6 650×	`lower-fma.f64`
6 578×	`lower-fma.f64`
6 578×	`lower-fma.f32`
5 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	976
1	146	966
2	372	946
3	792	946
4	1456	946
5	3177	946
6	5022	946
7	6274	946
8	7596	946
0	8021	817
0	94	1137
1	263	1116
2	648	1074
3	1347	1074
4	2503	1070
5	5498	1070
0	8604	917
0	35	254
1	93	254
2	217	248
3	501	248
4	1016	248
5	2377	248
6	4088	248
7	5191	248
8	6484	248
9	7517	248
0	8007	215
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20
0	27	113
0	44	105
1	197	93
2	1714	93
0	8497	88

Stop Event

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

Compiler

Compiled 196 to 103 computations (47.4% saved)

preprocess53.0ms (0.6%)

Memory: -14.5MiB live, 102.5MiB allocated
Compiler: Compiled 204 to 74 computations (63.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1000.0ms (12%)

explain163.0ms (1.9%)

preprocess95.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify50.0ms (0.6%)

localize87.0ms (1%)

series3.0ms (0%)

simplify476.0ms (5.7%)

rewrite860.0ms (10.3%)

eval111.0ms (1.3%)

prune46.0ms (0.6%)

simplify228.0ms (2.7%)

localize119.0ms (1.4%)

series13.0ms (0.2%)

simplify245.0ms (2.9%)

rewrite400.0ms (4.8%)

eval228.0ms (2.7%)

prune132.0ms (1.6%)

simplify180.0ms (2.1%)

localize121.0ms (1.4%)

series6.0ms (0.1%)

simplify248.0ms (3%)

rewrite361.0ms (4.3%)

eval203.0ms (2.4%)

prune183.0ms (2.2%)

simplify302.0ms (3.6%)

localize107.0ms (1.3%)

series8.0ms (0.1%)

simplify239.0ms (2.9%)

rewrite409.0ms (4.9%)

eval84.0ms (1%)

prune102.0ms (1.2%)

regimes24.0ms (0.3%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.4%)

simplify10.0ms (0.1%)

soundness1.4s (16.7%)

preprocess53.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24