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

0.6MiB live, 0.6MiB 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)

sample1.2s (18.9%)

Memory

-126.5MiB live, 1 574.6MiB allocated

Samples

878.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 725.0ms

const: 330.0ms (45.5% of total)

ival-add: 196.0ms (27% of total)

ival-mult: 147.0ms (20.3% of total)

ival-sub: 39.0ms (5.4% of total)

ival-true: 5.0ms (0.7% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain129.0ms (2.1%)

Memory

-20.7MiB live, 174.8MiB 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

40.0ms

512×

valid

Compiler

Compiled 70 to 28 computations (60% saved)

Precisions

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

const: 13.0ms (48.7% of total)

ival-mult: 7.0ms (26.2% of total)

ival-add: 4.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess48.0ms (0.8%)

Memory

19.4MiB live, 58.6MiB 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: 0.4MiB live, 0.4MiB 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
▶	99.9%	(-.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)

simplify28.0ms (0.4%)

Memory

-8.5MiB live, 38.6MiB 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)

localize29.0ms (0.5%)

Memory

21.3MiB live, 59.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.0078125	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.10546875	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.18359375	(*.f64 x #s(literal 3/25 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

const: 8.0ms (54.4% of total)

ival-mult: 3.0ms (20.4% of total)

ival-add: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-27.5MiB live, 10.4MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt 253/1000 (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 3/25 binary64)) (patch (.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

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

simplify213.0ms (3.4%)

Memory

15.4MiB live, 212.2MiB 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))

rewrite250.0ms (4%)

Memory

8.9MiB live, 403.7MiB 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)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.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)))) (.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)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #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))) (neg.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)))) (fma.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)))
(+.f64 (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)) (.f64 x (.f64 x #s(literal 3/25 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(exp.f64 (*.f64 (log.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 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 0 binary64) (-.f64 (*.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) (fma.f64 (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)) (.f64 x x) x) #s(literal 1 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)))) (.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)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #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))) (/.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)))) (fma.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 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))) (*.f64 x #s(literal 253/1000 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64))) (.f64 x (*.f64 x #s(literal -3/25 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -3/25 binary64)))) (*.f64 x #s(literal -253/1000 binary64)))
(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 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 x (.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.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)))) (.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)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))))
(fma.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))) (neg.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)))) (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 253/1000 binary64) (fma.f64 x (*.f64 x #s(literal 3/25 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 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 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) x (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 253/1000 binary64) (neg.f64 x) (fma.f64 x (*.f64 x #s(literal -3/25 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 3/25 binary64) (neg.f64 (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x (neg.f64 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 #s(literal 3/25 binary64)) (neg.f64 x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (neg.f64 x) #s(literal 1 binary64))
(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 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.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))) (neg.f64 x)) #s(literal 1 binary64))
(fma.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) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (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)) (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))) (neg.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)))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
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(fma.f64 x (.f64 x #s(literal 3/25 binary64)) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 253/1000 binary64) x (.f64 x (.f64 x #s(literal 3/25 binary64))))
(fma.f64 #s(literal 3/25 binary64) (.f64 x x) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 x #s(literal 3/25 binary64)) x (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 x #s(literal 253/1000 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3/25 binary64))))
(fma.f64 (.f64 x x) #s(literal 3/25 binary64) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/25 binary64))) x (*.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/25 binary64) (*.f64 x #s(literal 253/1000 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 #s(literal 1 binary64) (/.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)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (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)))) (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 (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)))) (fma.f64 (.f64 (.f64 x x) #s(literal 9/625 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 64009/1000000 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal 759/25000 binary64)) (.f64 x x)))))
(/.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 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (neg.f64 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 (neg.f64 (.f64 x (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 (.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 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 #s(literal 1 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))))) (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 #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)))

eval48.0ms (0.8%)

Memory: 0.1MiB live, 117.8MiB allocated
Compiler: Compiled 8 955 to 928 computations (89.6% saved)

prune59.0ms (1%)

Memory

-14.3MiB live, 146.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	357	8	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	358	8	366

Accuracy

100.0%

Counts

366 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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)))
	99.9%	(-.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 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)))))
	53.8%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	49.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
▶	52.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 138 to 96 computations (30.4% saved)

simplify154.0ms (2.5%)

Memory

19.1MiB live, 95.6MiB 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)

localize205.0ms (3.3%)

Memory

9.1MiB live, 124.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
accuracy	0.10546875	(.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	0.17578125	(*.f64 x #s(literal 9/625 binary64))
accuracy	14.077973677240605	(/.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	0.0234375	(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
accuracy	0.16015625	(.f64 x (.f64 x #s(literal -3/25 binary64)))
accuracy	0.18359375	(*.f64 x #s(literal -3/25 binary64))
accuracy	33.15609176981713	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
accuracy	30.641728568264355	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))

Samples

164.0ms

256×

valid

Compiler

Compiled 138 to 31 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-mult: 121.0ms (80.6% of total)

const: 17.0ms (11.3% of total)

ival-add: 7.0ms (4.7% of total)

ival-div: 2.0ms (1.3% of total)

ival-sub: 2.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.7%)

Memory

-20.3MiB live, 15.8MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 9/625 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 3/25 x) 253/1000) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (patch (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

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

simplify221.0ms (3.6%)

Memory

14.0MiB live, 176.1MiB 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))

rewrite350.0ms (5.7%)

Memory

-9.7MiB live, 385.3MiB 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)))
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eval159.0ms (2.6%)

Memory: -12.2MiB live, 316.3MiB allocated
Compiler: Compiled 22 047 to 2 234 computations (89.9% saved)

prune297.0ms (4.8%)

Memory

10.6MiB live, 289.0MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	852	5	857
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	856	9	865

Accuracy

100.0%

Counts

865 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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 (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))
▶	49.3%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
▶	53.8%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.9%	(-.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)))))
▶	49.4%	#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))))
▶	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	52.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 132 to 88 computations (33.3% saved)

simplify149.0ms (2.4%)

Memory

20.5MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal -253/1000 binary64))
cost-diff	0	#s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 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	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -3/25 binary64))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 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	(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
cost-diff	0	(/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))

Rules

2 760×	`lower-fma.f32`
2 752×	`lower-fma.f64`
1 352×	`lower-*.f32`
1 344×	`lower-*.f64`
826×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	144
0	50	143
1	98	139
2	170	139
3	320	139
4	589	139
5	908	139
6	1377	139
7	2388	139
8	3160	139
9	3301	139
10	3339	139
11	3361	139
12	3377	139
13	3584	139
14	3676	139
15	3676	139
0	3676	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize137.0ms (2.2%)

Memory

-26.2MiB live, 145.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(*.f64 x #s(literal -253/1000 binary64))
accuracy	0.09765625	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
accuracy	32.7233901660835	#s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))
accuracy	0.07421875	(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
accuracy	0.10546875	(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
accuracy	32.33649746329259	#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	(*.f64 x x)
accuracy	0.19921875	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	33.15609176981713	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	29.87894894660097	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
accuracy	0	(-.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)))))
accuracy	0.07421875	(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
accuracy	0.17578125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))

Samples

108.0ms

256×

valid

Compiler

Compiled 131 to 35 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

const: 53.0ms (56.5% of total)

ival-mult: 18.0ms (19.2% of total)

ival-sub: 9.0ms (9.6% of total)

ival-add: 8.0ms (8.5% of total)

ival-div: 5.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (patch (fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 253/1000)) (taylor inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor -inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (patch #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -253/1000 binary64)) (patch (.f64 x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

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

simplify258.0ms (4.2%)

Memory

-19.5MiB live, 213.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 636×	`lower-fma.f64`
10 636×	`lower-fma.f32`
3 068×	`lower-*.f64`
3 068×	`lower-*.f32`
1 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1081
1	266	1073
2	626	1016
3	1395	1012
4	3239	1012
5	6496	1012
0	8105	877

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite301.0ms (4.9%)

Memory

19.0MiB live, 455.4MiB allocated

Rules

4 560×	`lower-*.f32`
4 552×	`lower-*.f64`
4 010×	`lower-/.f32`
4 006×	`lower-/.f64`
3 724×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	126
0	50	125
1	242	112
2	2068	112
0	8113	110

Stop Event

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

Counts

15 → 350

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 253/1000 binary64)) (.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 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 3/25 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 253/1000 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.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 x #s(literal 253/1000 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64))))
(fma.f64 x (.f64 x #s(literal 3/25 binary64)) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 253/1000 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 #s(literal 3/25 binary64) (.f64 x x) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 253/1000 binary64) x (.f64 x (.f64 x #s(literal 3/25 binary64))))
(fma.f64 (.f64 x #s(literal 3/25 binary64)) x (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 x x) #s(literal 3/25 binary64) (.f64 x #s(literal 253/1000 binary64)))
(fma.f64 (.f64 x #s(literal 253/1000 binary64)) #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(/.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 #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 (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)))))
(/.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)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.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) (neg.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal -1 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)))
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(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (.f64 x x))))) (fma.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))))))
(/.f64 (fma.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (fma.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 x (.f64 (.f64 x #s(literal -3/25 binary64)) #s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))))) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 x (.f64 (.f64 x #s(literal -3/25 binary64)) #s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))))) (neg.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64)))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))))) (neg.f64 (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (.f64 x x))))) (fma.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -27/15625 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (-.f64 #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) (.f64 #s(literal -3/25 binary64) (*.f64 x x)))))))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (.f64 #s(approx (+ (* x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))) #s(approx (+ ( x -253/1000) 1) (.f64 x #s(literal -253/1000 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -3/25 binary64) (.f64 x x)) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))))
#s(approx (+ (* x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64)))
(*.f64 x #s(literal -253/1000 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -253/1000 binary64)))
(*.f64 #s(literal -253/1000 binary64) x)
(.f64 (.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64))

eval108.0ms (1.7%)

Memory: 17.5MiB live, 133.7MiB allocated
Compiler: Compiled 9 196 to 1 212 computations (86.8% saved)

prune177.0ms (2.9%)

Memory

-6.0MiB live, 152.1MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	548	3	551
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	549	11	560

Accuracy

100.0%

Counts

560 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	49.3%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
✓	53.8%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(-.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)))))
▶	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
✓	49.4%	#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))))
▶	49.3%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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)))))
▶	4.0%	#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))))
✓	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	52.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 90 to 58 computations (35.6% saved)

simplify189.0ms (3.1%)

Memory

-6.4MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

2 280×	`lower-fma.f32`
2 276×	`lower-fma.f64`
1 240×	`lower-*.f32`
1 234×	`lower-*.f64`
580×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
0	44	161
1	70	161
2	105	161
3	170	159
4	312	159
5	475	159
6	880	159
7	1589	159
8	2701	159
9	3167	159
10	3444	159
11	3606	159
12	3644	159
13	3664	159
14	3674	159
15	3708	159
16	3736	159
17	3737	159
18	3737	159
19	3737	159
20	3743	159
0	3743	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.5%)

Memory

6.5MiB live, 176.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
accuracy	0.17578125	(/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))
accuracy	0.44140625	(/.f64 #s(literal 25/3 binary64) x)
accuracy	32.993132834620226	#s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
accuracy	0.10546875	(.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	0.17578125	(*.f64 x #s(literal 9/625 binary64))
accuracy	14.077973677240605	(/.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	32.33649746329259	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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	0.10546875	(.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64)))
accuracy	29.87894894660097	#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
accuracy	32.33649746329259	#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))))

Samples

69.0ms

256×

valid

Compiler

Compiled 131 to 30 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

const: 29.0ms (51.5% of total)

ival-mult: 11.0ms (19.5% of total)

ival-div: 8.0ms (14.2% of total)

ival-add: 5.0ms (8.9% of total)

ival-sub: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-18.3MiB live, 20.1MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(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)))) (patch #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)))) #<representation binary64>) () ())) ())
#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) (patch (.f64 x #s(approx (+ ( x -3/25) -253/1000) #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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))))) (patch #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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))))) (patch #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (patch (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (patch (fma.f64 x (.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1000/253 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1000/253 (* -120000/64009 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 25/3 (* 1265/72 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1265/72 (/ 1 x)) 25/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 25/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9/625 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 9/625 binary64)) (patch (.f64 x #s(literal 9/625 binary64)) #<representation binary64>) () ())) ())

Calls

36 calls:

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

simplify200.0ms (3.2%)

Memory

16.0MiB live, 327.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 438×	`lower-fma.f64`
11 438×	`lower-fma.f32`
3 138×	`lower-*.f64`
3 138×	`lower-*.f32`
1 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	914
1	277	906
2	643	834
3	1437	830
4	3402	830
5	6851	830
0	8376	725

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

rewrite237.0ms (3.8%)

Memory

0.7MiB live, 327.2MiB allocated

Rules

4 260×	`lower-/.f32`
4 254×	`lower-/.f64`
4 212×	`lower-fma.f32`
4 208×	`lower-fma.f64`
3 706×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	147
0	44	141
1	182	115
2	1410	115
0	8765	104

Stop Event

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

Counts

12 → 279

Calls

Call 1

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

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

eval48.0ms (0.8%)

Memory: 16.6MiB live, 90.6MiB allocated
Compiler: Compiled 8 318 to 947 computations (88.6% saved)

prune83.0ms (1.3%)

Memory

-31.6MiB live, 87.2MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	0	0	0
Picked	1	2	3
Done	1	7	8
Total	423	11	434

Accuracy

100.0%

Counts

434 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	49.3%	(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
✓	53.8%	(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
	49.4%	#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)))))
✓	49.4%	#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))))
	48.9%	#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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)))))
✓	4.0%	#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))))
✓	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	48.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 x (.f64 x #s(literal -3/25 binary64))))
✓	52.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 251 to 103 computations (59% saved)

regimes17.0ms (0.3%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

19 → 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 (+ 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))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (.f64 x x) #s(literal -3/25 binary64) #s(approx (+ ( x -253/1000) 1) (*.f64 x #s(literal -253/1000 binary64))))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
#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)))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (.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 (/.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 (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)))))

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

Calls

3 calls:

6.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
5.0ms	x
5.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes11.0ms (0.2%)

Memory

-18.2MiB live, 19.6MiB allocated

Counts

8 → 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 (+ 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:

4.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.3%	2	`(.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

11.5MiB live, 11.5MiB allocated

Counts

6 → 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)))

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 (*.f64 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
98.7%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.7%	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)

regimes6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB 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
53.8%	1	`x`
53.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
53.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-31.0MiB live, 9.9MiB allocated

Accuracy

Total -31.8b remaining (-103.8%)

Threshold costs -31.8b (-103.8%)

Counts

2 → 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))))

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

Calls

3 calls:

4.0ms	(.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
52.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
52.1%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
52.1%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06547746172940838	1830986.9168803643

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06547746172940838	1830986.9168803643

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	111
1	36	111

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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 (.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)))) #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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 (.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)))) #s(literal 1 binary64))

soundness681.0ms (11%)

Memory

10.7MiB live, 320.0MiB allocated

Rules

5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
4 504×	`lower-fma.f64`
4 504×	`lower-fma.f32`
4 210×	`lower-*.f32`

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

Stop Event

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

Compiler

Compiled 105 to 54 computations (48.6% saved)

preprocess36.0ms (0.6%)

Memory: 5.4MiB live, 77.6MiB allocated
Compiler: Compiled 136 to 54 computations (60.3% 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%)

sample1.2s (18.9%)

explain129.0ms (2.1%)

preprocess48.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.4%)

localize29.0ms (0.5%)

series6.0ms (0.1%)

simplify213.0ms (3.4%)

rewrite250.0ms (4%)

eval48.0ms (0.8%)

prune59.0ms (1%)

simplify154.0ms (2.5%)

localize205.0ms (3.3%)

series45.0ms (0.7%)

simplify221.0ms (3.6%)

rewrite350.0ms (5.7%)

eval159.0ms (2.6%)

prune297.0ms (4.8%)

simplify149.0ms (2.4%)

localize137.0ms (2.2%)

series8.0ms (0.1%)

simplify258.0ms (4.2%)

rewrite301.0ms (4.9%)

eval108.0ms (1.7%)

prune177.0ms (2.9%)

simplify189.0ms (3.1%)

localize91.0ms (1.5%)

series10.0ms (0.2%)

simplify200.0ms (3.2%)

rewrite237.0ms (3.8%)

eval48.0ms (0.8%)

prune83.0ms (1.3%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness681.0ms (11%)

preprocess36.0ms (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