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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (19.8%)

Memory

10.7MiB live, 1 249.1MiB allocated

Samples

919.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 612.0ms

const: 291.0ms (47.6% of total)

ival-mult: 198.0ms (32.4% of total)

ival-add: 72.0ms (11.8% of total)

ival-sub: 38.0ms (6.2% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain153.0ms (2.6%)

Memory

-18.2MiB live, 137.8MiB 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

60.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 70 to 28 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 22.0ms (48.5% of total)

const: 13.0ms (28.6% of total)

ival-mult: 7.0ms (15.4% of total)

ival-sub: 3.0ms (6.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess43.0ms (0.7%)

Memory

23.2MiB live, 58.2MiB 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #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

1.6MiB live, 1.6MiB 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)

simplify21.0ms (0.4%)

Memory

0.0MiB live, 36.5MiB 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)

localize67.0ms (1.2%)

Memory

-27.1MiB live, 33.5MiB 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	0.1328125	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.23046875	(*.f64 x #s(literal 3/25 binary64))

Samples

61.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 7.0ms (55.5% of total)

ival-mult: 3.0ms (23.8% of total)

ival-add: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB 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 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 (* 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 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 (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 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 (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 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 (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 (* 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 (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 -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

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify154.0ms (2.6%)

Memory

27.7MiB live, 139.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
3 774×	`lower-*.f64`
3 774×	`lower-*.f32`
1 530×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2396	248
6	4106	248
7	5204	248
8	6491	248
9	7542	248
0	8017	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)))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -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 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 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 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 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)

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

rewrite189.0ms (3.3%)

Memory

-1.0MiB live, 290.9MiB 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 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))))
(.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))) (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))))
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(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (.f64 (fma.f64 #s(literal 27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) (.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal 64009/1000000 binary64) (.f64 (.f64 (.f64 #s(literal 3/25 binary64) x) x) (-.f64 (.f64 (.f64 #s(literal 3/25 binary64) x) x) (.f64 #s(literal 253/1000 binary64) x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 27/15625 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 16194277/1000000000 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 3/25 binary64) x)) x (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (.f64 x x) #s(literal 3/25 binary64) (.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 (.f64 (.f64 #s(literal 3/25 binary64) x) x) #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (.f64 #s(literal 3/25 binary64) x) x (.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (.f64 x x) (.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 253/1000 binary64) x (.f64 (.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 x (.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x (.f64 #s(literal 3/25 binary64) x) (.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 253/1000 binary64) x) (.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 64009/1000000 binary64)) (.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 #s(literal 9/625 binary64) x) x)) (.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)))
(+.f64 (.f64 #s(literal 253/1000 binary64) x) (.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 x #s(literal 3/25 binary64))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)))

eval50.0ms (0.9%)

Memory: -1.8MiB live, 116.8MiB allocated
Compiler: Compiled 8 955 to 934 computations (89.6% saved)

prune307.0ms (5.3%)

Memory

-184.2MiB live, 182.4MiB 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 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	93.0%	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
	50.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	52.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	48.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 150 to 106 computations (29.3% saved)

simplify150.0ms (2.6%)

Memory

-12.6MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff	0	(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #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 (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Rules

2 568×	`lower-fma.f32`
2 558×	`lower-fma.f64`
1 256×	`lower-*.f32`
1 250×	`lower-*.f64`
508×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	139
0	44	134
1	84	132
2	164	130
3	325	130
4	666	130
5	1281	130
6	1843	130
7	2771	130
8	3369	130
9	3446	130
10	3451	130
11	3456	130
12	3456	130
13	3556	130
14	3597	130
15	3597	130
16	3597	130
0	3597	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.5%)

Memory

0.1MiB live, 196.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.140625	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.25	(.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x)
accuracy	0.2804838392112956	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	4.565822069054761	(/.f64 (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
accuracy	0.140625	(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	0.23828125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.13671875	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	30.985538865267795	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	32.71141848838664	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0.078125	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.140625	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))

Samples

68.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 147 to 31 computations (78.9% saved)

Precisions

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

const: 18.0ms (33.4% of total)

ival-mult: 18.0ms (33.4% of total)

ival-add: 9.0ms (16.7% of total)

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

ival-sub: 3.0ms (5.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify180.0ms (3.1%)

Memory

-24.0MiB live, 90.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 344×	`lower-fma.f64`
7 344×	`lower-fma.f32`
2 810×	`lower-*.f64`
2 810×	`lower-*.f32`
1 526×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1134
1	316	1116
2	762	1096
3	1813	1092
4	4433	1092
5	7014	1092
0	8040	948

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

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

rewrite256.0ms (4.4%)

Memory

-8.8MiB live, 168.0MiB allocated

Rules

4 780×	`lower-*.f32`
4 774×	`lower-*.f64`
4 016×	`lower-/.f32`
4 010×	`lower-/.f64`
3 494×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	44	117
1	212	113
2	1738	113
0	8335	113

Stop Event

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

Counts

15 → 506

Calls

Call 1

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

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

eval175.0ms (3%)

Memory: 24.8MiB live, 142.6MiB allocated
Compiler: Compiled 16 075 to 1 900 computations (88.2% saved)

prune120.0ms (2.1%)

Memory

-29.8MiB live, 204.4MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	701	6	707
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	705	10	715

Accuracy

100.0%

Counts

715 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.8%	(fma.f64 (/.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))) x #s(literal 1 binary64))
▶	50.9%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
▶	98.5%	(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
▶	52.4%	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x))
✓	48.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 151 to 104 computations (31.1% saved)

simplify165.0ms (2.8%)

Memory

35.6MiB live, 112.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 792×	`lower-fma.f32`
2 782×	`lower-fma.f64`
1 416×	`lower-*.f32`
1 408×	`lower-*.f64`
548×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	171
0	60	170
1	109	170
2	205	169
3	434	169
4	904	169
5	1529	169
6	2756	166
7	3532	166
8	3819	166
9	3866	166
10	3896	166
11	3917	166
12	4161	166
13	4309	166
14	4332	166
15	4332	166
16	4332	166
0	4332	162

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (2%)

Memory

0.1MiB live, 240.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
accuracy	0.23828125	(/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))
accuracy	0.42578125	(/.f64 #s(literal 25/3 binary64) x)
accuracy	30.83097779390763	#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
accuracy	0.1328125	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy	0.140625	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	30.39600833601779	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy	0.12109375	(.f64 (.f64 x #s(literal -3/25 binary64)) x)
accuracy	0.23046875	(*.f64 x #s(literal -3/25 binary64))
accuracy	30.985538865267795	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x))
accuracy	0.078125	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	31.95533692756727	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	0.1328125	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
accuracy	0.140625	(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
accuracy	0.1875	(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
accuracy	0.2804838392112956	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))

Samples

93.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 157 to 39 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

const: 29.0ms (41.1% of total)

ival-mult: 17.0ms (24.1% of total)

ival-div: 11.0ms (15.6% of total)

ival-add: 8.0ms (11.3% of total)

ival-sub: 3.0ms (4.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-7.0MiB live, 31.3MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify165.0ms (2.8%)

Memory

-20.3MiB live, 176.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 822×	`lower-fma.f64`
11 822×	`lower-fma.f32`
3 138×	`lower-*.f64`
3 138×	`lower-*.f32`
2 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1288
1	460	1274
2	1048	1270
3	2194	1256
4	4617	1254
5	7864	1254
0	8239	1107

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite191.0ms (3.3%)

Memory

56.4MiB live, 279.2MiB allocated

Rules

5 248×	`lower-*.f32`
5 240×	`lower-*.f64`
4 662×	`lower-/.f32`
4 656×	`lower-/.f64`
3 240×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	154
0	60	153
1	276	153
2	1968	153
0	9341	147

Stop Event

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

Counts

18 → 414

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal -64009/1000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64))) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64))
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x)))
(/.f64 x (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (/.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (/.f64 x (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x)) (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x)) (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (.f64 (.f64 (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 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) x)) (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64)))))
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(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (neg.f64 (.f64 #s(literal 3/25 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (.f64 (neg.f64 (.f64 #s(literal 3/25 binary64) x)) (neg.f64 (.f64 #s(literal 3/25 binary64) x))) (.f64 #s(literal 253/1000 binary64) (neg.f64 (.f64 #s(literal 3/25 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (*.f64 #s(literal 759/25000 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x)) #s(literal -16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 #s(literal 9/625 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 #s(literal 9/625 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 #s(literal 9/625 binary64) (.f64 x x))) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (.f64 #s(literal 9/625 binary64) (.f64 x x))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x) #s(literal 16194277/1000000000 binary64))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (.f64 #s(literal 759/25000 binary64) x)))) (/.f64 (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (*.f64 #s(literal 759/25000 binary64) x)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))) (/.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (-.f64 #s(literal 253/1000 binary64) (.f64 #s(literal -3/25 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal -27/15625 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (.f64 #s(literal 759/25000 binary64) x)))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 9/625 binary64) (.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))
(-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(+.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64)))
(+.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x)))
(+.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))

eval105.0ms (1.8%)

Memory: -37.0MiB live, 206.7MiB allocated
Compiler: Compiled 13 109 to 1 346 computations (89.7% saved)

prune79.0ms (1.4%)

Memory

21.2MiB live, 180.8MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	626	4	630
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	629	11	640

Accuracy

100.0%

Counts

640 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
▶	60.0%	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	50.9%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
▶	98.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
✓	52.4%	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	3.6%	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x))
✓	48.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 93 to 62 computations (33.3% saved)

simplify207.0ms (3.6%)

Memory

-0.2MiB live, 74.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
cost-diff	0	(/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
cost-diff	0	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))

Rules

4 464×	`lower-fma.f32`
4 458×	`lower-fma.f64`
2 432×	`lower-*.f32`
2 428×	`lower-*.f64`
1 592×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	207
0	57	207
1	93	207
2	158	199
3	350	199
4	738	199
5	1319	199
6	1817	199
7	2327	199
8	2957	199
9	4224	199
10	4864	199
11	5347	199
12	5626	199
13	6380	199
14	6704	199
15	7110	199
16	7666	199
17	7960	199
18	7984	199
19	8000	199
0	8016	186

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
(/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)
#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 25/3 binary64) x)
#s(literal 25/3 binary64)
x
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(/.f64 #s(literal 1265/72 binary64) x)
#s(literal 1265/72 binary64)
#s(literal -25/3 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
(/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)
#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
(/.f64 #s(literal 25/3 binary64) x)
#s(literal 25/3 binary64)
x
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(/.f64 #s(literal 1265/72 binary64) x)
#s(literal 1265/72 binary64)
#s(literal -25/3 binary64)
#s(literal 1 binary64)

localize119.0ms (2%)

Memory

5.8MiB live, 160.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
accuracy	0.2804838392112956	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.578125	(/.f64 #s(literal 1265/72 binary64) x)
accuracy	31.06515250073952	#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.1328125	(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
accuracy	0.2804838392112956	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	30.66467746601226	#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
accuracy	0.17578125	(/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
accuracy	0.42578125	(/.f64 #s(literal 25/3 binary64) x)
accuracy	30.83097779390763	#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
accuracy	0.1328125	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy	30.39600833601779	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
accuracy	31.95533692756727	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))

Samples

98.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 170 to 38 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

const: 43.0ms (53.5% of total)

ival-mult: 14.0ms (17.4% of total)

ival-div: 11.0ms (13.7% of total)

ival-add: 6.0ms (7.5% of total)

ival-sub: 3.0ms (3.7% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-19.7MiB live, 18.0MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) (patch (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (patch #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) (patch #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (patch #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 25/3 binary64) x) (patch (/.f64 #s(literal 25/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1265/72 binary64) x) (patch (/.f64 #s(literal 1265/72 binary64) x) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x)) (- 1 (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x))) (/ (/ 1 (+ (* 3/25 x) 253/1000)) x) (/ 1 (+ (* 3/25 x) 253/1000)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (neg (/ x (+ (* x -3/25) 253/1000))) (/ 25/3 x) (/ 1265/72 x))

2.0ms

inf

((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x)) (- 1 (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x))) (/ (/ 1 (+ (* 3/25 x) 253/1000)) x) (/ 1 (+ (* 3/25 x) 253/1000)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (neg (/ x (+ (* x -3/25) 253/1000))) (/ 25/3 x) (/ 1265/72 x))

1.0ms

((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x)) (- 1 (/ 1 (/ (/ 1 (+ (* 3/25 x) 253/1000)) x))) (/ (/ 1 (+ (* 3/25 x) 253/1000)) x) (/ 1 (+ (* 3/25 x) 253/1000)) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (neg (/ x (+ (* x -3/25) 253/1000))) (/ 25/3 x) (/ 1265/72 x))

simplify155.0ms (2.7%)

Memory

11.8MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 286×	`lower-fma.f64`
12 286×	`lower-fma.f32`
3 448×	`lower-*.f64`
3 448×	`lower-*.f32`
1 822×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1178
1	396	1162
2	917	1154
3	2042	1154
4	5082	1130
0	8095	1010

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

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

rewrite203.0ms (3.5%)

Memory

23.6MiB live, 223.0MiB allocated

Rules

5 082×	`lower-*.f32`
5 078×	`lower-*.f64`
4 698×	`lower-/.f32`
4 690×	`lower-/.f64`
3 060×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	177
0	57	177
1	257	173
2	1772	173
0	8505	161

Stop Event

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

Counts

15 → 221

Calls

Call 1

Inputs
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
(/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)
#s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 x x)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
(/.f64 #s(literal 25/3 binary64) x)
(/.f64 #s(literal 1265/72 binary64) x)

Outputs
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
(.f64 x #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (neg.f64 x))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) (neg.f64 x)))
(/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x))
(neg.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) (/.f64 x (neg.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))
(exp.f64 (log.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x))) (.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))) (.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x))) (neg.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))) (neg.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)) (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))) (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ ( 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) x) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))) (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))) (/.f64 (.f64 (.f64 (.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))) (fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (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 #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 25/3 binary64))
(*.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 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))
(pow.f64 (/.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x)))
(/.f64 #s(literal -25/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -25/3 binary64) (neg.f64 x))
(/.f64 #s(literal 25/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 25/3 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/25 binary64) x))
(neg.f64 (/.f64 #s(literal -25/3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/25 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1265/72 binary64))
(*.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal 72/1265 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 72/1265 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1265/72 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1265/72 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 72/1265 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 72/1265 binary64))))
(/.f64 #s(literal 1265/72 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1265/72 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 72/1265 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 72/1265 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 72/1265 binary64)))
(neg.f64 (/.f64 #s(literal -1265/72 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 72/1265 binary64))) #s(literal -1 binary64)))

eval108.0ms (1.9%)

Memory: -11.3MiB live, 98.1MiB allocated
Compiler: Compiled 8 905 to 800 computations (91% saved)

prune60.0ms (1%)

Memory

-3.9MiB live, 119.1MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	458	2	460
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	460	11	471

Accuracy

100.0%

Counts

471 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.8%	(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
	98.5%	(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
✓	50.9%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
✓	98.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
✓	52.4%	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓	3.6%	#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	51.5%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x))
✓	48.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 288 to 119 computations (58.7% saved)

regimes26.0ms (0.4%)

Memory

-2.8MiB live, 33.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x))
#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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #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 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x))))
(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ ( x -3/25) 253/1000))) (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))) #s(literal 1 binary64))
(fma.f64 (/.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))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3/25 x) 253/1000)) (/.f64 #s(literal 25/3 binary64) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))

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

Calls

3 calls:

13.0ms	x
6.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
6.0ms	(-.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)

regimes10.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.6%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes40.0ms (0.7%)

Memory

-44.4MiB live, 8.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

37.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #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
50.9%	1	`x`
50.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
50.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total -29.9b remaining (-91.4%)

Threshold costs -29.9b (-91.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.9%	1	`x`
48.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
48.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.805759338965664e-9	122027519187.06781

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	4.805759338965664e-9	122027519187.06781

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	4.805759338965664e-9	122027519187.06781

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify9.0ms (0.2%)

Memory

-21.0MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	150
1	41	150

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #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 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #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 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x)))
(if (<=.f64 (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x #s(literal -3/25 binary64)) x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

soundness858.0ms (14.7%)

Memory

8.5MiB live, 479.0MiB allocated

Rules

5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
4 780×	`lower-*.f32`
4 774×	`lower-*.f64`
4 504×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	44	117
1	212	113
2	1738	113
0	8335	113
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2396	248
6	4106	248
7	5204	248
8	6491	248
9	7542	248
0	8017	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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 144 to 69 computations (52.1% saved)

preprocess38.0ms (0.6%)

Memory: 3.2MiB live, 78.5MiB allocated
Compiler: Compiled 178 to 60 computations (66.3% 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 (19.8%)

explain153.0ms (2.6%)

preprocess43.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.4%)

localize67.0ms (1.2%)

series4.0ms (0.1%)

simplify154.0ms (2.6%)

rewrite189.0ms (3.3%)

eval50.0ms (0.9%)

prune307.0ms (5.3%)

simplify150.0ms (2.6%)

localize87.0ms (1.5%)

series13.0ms (0.2%)

simplify180.0ms (3.1%)

rewrite256.0ms (4.4%)

eval175.0ms (3%)

prune120.0ms (2.1%)

simplify165.0ms (2.8%)

localize115.0ms (2%)

series14.0ms (0.2%)

simplify165.0ms (2.8%)

rewrite191.0ms (3.3%)

eval105.0ms (1.8%)

prune79.0ms (1.4%)

simplify207.0ms (3.6%)

localize119.0ms (2%)

series13.0ms (0.2%)

simplify155.0ms (2.7%)

rewrite203.0ms (3.5%)

eval108.0ms (1.9%)

prune60.0ms (1%)

regimes26.0ms (0.4%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes40.0ms (0.7%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness858.0ms (14.7%)

preprocess38.0ms (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