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

0.5MiB live, 0.5MiB 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)

sample1.0s (17.2%)

Memory

-11.0MiB live, 1 107.2MiB allocated

Samples

820.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

const: 290.0ms (47.2% of total)

ival-mult: 236.0ms (38.4% of total)

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

ival-sub: 37.0ms (6% of total)

ival-true: 7.0ms (1.1% of total)

exact: 5.0ms (0.8% of total)

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

Bogosity

explain128.0ms (2.1%)

Memory

-15.8MiB live, 142.5MiB 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

41.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

const: 13.0ms (51.9% of total)

ival-mult: 7.0ms (27.9% of total)

ival-add: 2.0ms (8% of total)

ival-sub: 2.0ms (8% 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)

preprocess91.0ms (1.5%)

Memory

9.7MiB live, 48.5MiB 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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 9 to 8 computations (11.1% saved)

simplify18.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB 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)

localize46.0ms (0.8%)

Memory

-0.1MiB live, 38.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.015625	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.10546875	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.203125	(*.f64 x #s(literal 3/25 binary64))

Samples

40.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 20.0ms (59.1% of total)

ival-mult: 6.0ms (17.7% of total)

const: 6.0ms (17.7% of total)

ival-add: 1.0ms (3% 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

7.2MiB live, 7.2MiB 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))

simplify138.0ms (2.3%)

Memory

-0.2MiB live, 114.4MiB 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)

rewrite160.0ms (2.6%)

Memory

10.7MiB live, 244.9MiB 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
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eval195.0ms (3.2%)

Memory: -0.2MiB live, 87.9MiB allocated
Compiler: Compiled 7 090 to 955 computations (86.5% saved)

prune12.0ms (0.2%)

Memory

-6.9MiB live, 30.4MiB 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))
	99.9%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶	99.9%	(-.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)))))
▶	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))))
	55.1%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	46.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	53.2%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 132 to 112 computations (15.2% saved)

simplify155.0ms (2.6%)

Memory

-16.7MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2 552×	`lower-fma.f32`
2 540×	`lower-fma.f64`
1 240×	`lower-*.f32`
1 230×	`lower-*.f64`
638×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	163
0	51	163
1	100	163
2	204	159
3	455	159
4	1144	159
5	2618	159
6	4246	159
7	4550	159
8	4572	159
9	4580	159
10	4584	159
11	4584	159
12	4755	159
13	4821	159
14	4821	159
15	4825	159
0	4825	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize146.0ms (2.4%)

Memory

-5.9MiB live, 191.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.15234375	(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	0.31640625	(.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))))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.10546875	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.15625	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	34.87824340904803	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	29.938748064026715	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0.10546875	(.f64 x (/.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))))
accuracy	0.14453125	(*.f64 #s(literal 9/625 binary64) x)
accuracy	14.158091793518578	(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))

Samples

88.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 175 to 36 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 27.0ms (42.1% of total)

const: 23.0ms (35.8% of total)

ival-add: 7.0ms (10.9% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

4.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

simplify178.0ms (2.9%)

Memory

-32.5MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 070×	`lower-fma.f64`
7 070×	`lower-fma.f32`
3 062×	`lower-*.f64`
3 062×	`lower-*.f32`
2 146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1192
1	283	1180
2	672	1156
3	1365	1156
4	2501	1152
5	5545	1152
0	8191	999

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

rewrite260.0ms (4.3%)

Memory

32.2MiB live, 311.7MiB allocated

Rules

5 946×	`lower-fma.f32`
5 934×	`lower-fma.f64`
4 080×	`lower-/.f32`
4 076×	`lower-/.f64`
3 994×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
0	51	149
1	233	117
2	2036	117
0	8363	115

Stop Event

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

Counts

17 → 788

Calls

Call 1

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

Outputs
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eval239.0ms (3.9%)

Memory: -15.6MiB live, 356.9MiB allocated
Compiler: Compiled 22 967 to 2 642 computations (88.5% saved)

prune61.0ms (1%)

Memory

-0.1MiB live, 86.5MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 004	6	1 010
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 008	10	1 018

Accuracy

100.0%

Counts

1 018 → 10

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))
	99.9%	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶	55.1%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.9%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶	55.0%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
	55.0%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))))
▶	46.4%	#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))
✓	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	53.2%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 149 to 126 computations (15.4% saved)

simplify213.0ms (3.5%)

Memory

5.6MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

3 496×	`lower-fma.f32`
3 486×	`lower-fma.f64`
1 704×	`lower-*.f32`
1 694×	`lower-*.f64`
806×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	158
0	52	158
1	99	157
2	193	156
3	485	156
4	1164	156
5	1769	156
6	2546	156
7	3681	156
8	4389	156
9	4540	156
10	4663	156
11	4754	156
12	4763	156
13	4879	156
14	4962	156
15	4985	156
16	4985	156
17	4985	156
0	4985	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize260.0ms (4.3%)

Memory

-19.0MiB live, 224.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
accuracy	0.05078125	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.31640625	(.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
accuracy	34.45253810976464	#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
accuracy	0.10546875	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0.10546875	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy	34.21671341973942	#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	0.1328125	(.f64 (.f64 #s(literal -3/25 binary64) x) x)
accuracy	0.203125	(*.f64 #s(literal -3/25 binary64) x)
accuracy	34.87824340904803	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
accuracy	0.0546875	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	29.257845541896184	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	0.0546875	(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))

Samples

86.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 149 to 31 computations (79.2% saved)

Precisions

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

ival-mult: 35.0ms (50.3% of total)

const: 23.0ms (33% of total)

ival-add: 7.0ms (10.1% of total)

ival-div: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% 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)

series14.0ms (0.2%)

Memory

-13.3MiB live, 23.9MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify126.0ms (2.1%)

Memory

-2.2MiB live, 163.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 426×	`lower-fma.f64`
6 426×	`lower-fma.f32`
2 720×	`lower-*.f64`
2 720×	`lower-*.f32`
2 388×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1058
1	250	1056
2	582	1052
3	1149	1052
4	2159	1048
5	4993	1048
0	8429	913

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

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

rewrite177.0ms (2.9%)

Memory

12.0MiB live, 289.3MiB allocated

Rules

5 116×	`lower-fma.f32`
5 106×	`lower-fma.f64`
4 510×	`lower-/.f64`
4 510×	`lower-/.f32`
3 868×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	138
0	52	138
1	219	137
2	1806	137
0	8386	131

Stop Event

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

Counts

15 → 303

Calls

Call 1

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

Outputs
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eval90.0ms (1.5%)

Memory: 0.1MiB live, 152.5MiB allocated
Compiler: Compiled 8 459 to 1 115 computations (86.8% saved)

prune23.0ms (0.4%)

Memory

-3.0MiB live, 72.2MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	497	4	501
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	499	12	511

Accuracy

100.0%

Counts

511 → 12

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))
▶	99.9%	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	55.1%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶	46.5%	(fma.f64 x #s(literal -253/1000 binary64) #s(approx (+ (* -3/25 (* x x)) 1) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
▶	55.0%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
▶	96.8%	(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
✓	46.4%	#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))
▶	3.7%	#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))
✓	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	53.2%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 142 to 123 computations (13.4% saved)

simplify277.0ms (4.6%)

Memory

19.2MiB live, 180.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

3 304×	`lower-fma.f32`
3 294×	`lower-fma.f64`
1 720×	`lower-*.f32`
1 706×	`lower-*.f64`
880×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	261
0	61	257
1	110	257
2	172	256
3	422	256
4	1047	256
5	1514	256
6	2161	256
7	3107	256
8	3697	256
9	4024	256
10	4169	256
11	4294	256
12	4349	256
13	4785	256
14	5053	256
15	5064	256
16	5076	256
17	5103	256
18	5103	256
19	5103	256
20	5103	256
21	5109	256
0	5109	250

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize184.0ms (3%)

Memory

-18.4MiB live, 263.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
accuracy	0.14453125	(*.f64 #s(literal -9/625 binary64) x)
accuracy	0.31640625	(.f64 (fma.f64 (.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
accuracy	34.45253810976464	#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
accuracy	0.140625	(.f64 #s(literal -9/625 binary64) (.f64 x x))
accuracy	0.31640625	(.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
accuracy	34.45253810976464	#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
accuracy	34.612709942978924	#s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 x #s(literal -253/1000 binary64) #s(approx (+ (* -3/25 (* x x)) 1) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
accuracy	0.15625	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	34.62725523206659	#s(approx (+ (* -3/25 (* x x)) 1) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	0.10546875	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy	29.257845541896184	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	34.21671341973942	#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	0.05078125	(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	14.158091793518578	(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))

Samples

130.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 225 to 37 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

const: 55.0ms (48.5% of total)

ival-mult: 44.0ms (38.8% of total)

ival-add: 8.0ms (7% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.8% 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

33.1MiB live, 33.1MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify301.0ms (5%)

Memory

-16.0MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 022×	`lower-fma.f64`
7 022×	`lower-fma.f32`
3 040×	`lower-*.f64`
3 040×	`lower-*.f32`
2 130×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1394
1	282	1392
2	664	1388
3	1338	1388
4	2421	1384
5	5465	1384
0	8158	1213

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

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

rewrite357.0ms (5.9%)

Memory

2.1MiB live, 273.1MiB allocated

Rules

5 666×	`lower-fma.f32`
5 656×	`lower-fma.f64`
4 802×	`lower-/.f32`
4 800×	`lower-/.f64`
4 020×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	227
0	61	223
1	252	211
2	1811	211
0	8348	204

Stop Event

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

Counts

20 → 393

Calls

Call 1

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

Outputs
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eval85.0ms (1.4%)

Memory: 14.7MiB live, 214.9MiB allocated
Compiler: Compiled 13 424 to 1 549 computations (88.5% saved)

prune24.0ms (0.4%)

Memory

0.3MiB live, 76.4MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	680	2	682
Fresh	0	0	0
Picked	2	3	5
Done	0	7	7
Total	682	12	694

Accuracy

100.0%

Counts

694 → 12

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))
✓	55.1%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	46.5%	(fma.f64 x #s(literal -253/1000 binary64) #s(approx (+ (* -3/25 (* x x)) 1) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
	96.7%	(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 (.f64 #s(literal -9/625 binary64) x) x)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
	98.7%	(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))
✓	96.8%	(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
✓	46.4%	#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))
✓	3.7%	#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))
✓	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	45.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	53.2%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 288 to 159 computations (44.8% saved)

regimes46.0ms (0.8%)

Memory

-9.8MiB live, 81.0MiB 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 #s(literal -3/25 binary64) x) 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 x #s(literal -253/1000 binary64) #s(approx (+ (* -3/25 (* x x)) 1) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 (.f64 #s(literal -9/625 binary64) x) x)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( -9/625 (* x x)) 64009/1000000) (.f64 #s(literal -9/625 binary64) (.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) (-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (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 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(approx (+ (* 3/25 x) -253/1000) (*.f64 #s(literal 3/25 binary64) x)))))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 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)))))

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

Calls

3 calls:

32.0ms	x
7.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
5.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

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

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes15.0ms (0.2%)

Memory

-2.0MiB live, 36.6MiB allocated

Counts

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

7.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
4.0ms	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
99.9%	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 17 to 15 computations (11.8% saved)

regimes11.0ms (0.2%)

Memory

-7.7MiB live, 31.8MiB 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 #s(literal -3/25 binary64) x) 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:

4.0ms	(.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
97.8%	3	`x`
97.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
97.8%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB 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 #s(literal -3/25 binary64) x) 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)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 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
97.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
97.4%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

-25.1MiB live, 14.2MiB 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 #s(literal -3/25 binary64) x) x))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
97.4%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB 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
55.1%	1	`x`
55.1%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
55.1%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes6.0ms (0.1%)

Memory

-28.3MiB live, 13.4MiB allocated

Accuracy

Total -32.5b remaining (-108.6%)

Threshold costs -32.5b (-108.6%)

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:

3.0ms	x
2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
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
53.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
53.2%	1	`x`
53.2%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09853112174705803	3807.557303650774

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3806.557303650774	0.901468878252942

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3806.557303650774	0.901468878252942

Compiler

Compiled 12 to 12 computations (0% saved)

simplify32.0ms (0.5%)

Memory

14.7MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	163
1	51	163
2	62	163
3	72	163
4	87	163
5	94	163
6	98	163
7	99	163

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(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 3602879701896397/36028797018963968 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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -2000 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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -2000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) 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)))) (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 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(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 3602879701896397/36028797018963968 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 3602879701896397/36028797018963968 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 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -2000 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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #s(literal -2000 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)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -2000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #s(literal -2000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) 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)))) (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))

soundness844.0ms (13.9%)

Memory

-1.8MiB live, 472.2MiB allocated

Rules

5 946×	`lower-fma.f32`
5 934×	`lower-fma.f64`
5 044×	`lower-fma.f64`
5 044×	`lower-fma.f32`
4 504×	`lower-fma.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
0	31	141
0	51	149
1	233	117
2	2036	117
0	8363	115
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 155 to 88 computations (43.2% saved)

preprocess45.0ms (0.7%)

Memory: -7.5MiB live, 107.6MiB allocated
Compiler: Compiled 200 to 80 computations (60% 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%)

sample1.0s (17.2%)

explain128.0ms (2.1%)

preprocess91.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.3%)

localize46.0ms (0.8%)

series4.0ms (0.1%)

simplify138.0ms (2.3%)

rewrite160.0ms (2.6%)

eval195.0ms (3.2%)

prune12.0ms (0.2%)

simplify155.0ms (2.6%)

localize146.0ms (2.4%)

series16.0ms (0.3%)

simplify178.0ms (2.9%)

rewrite260.0ms (4.3%)

eval239.0ms (3.9%)

prune61.0ms (1%)

simplify213.0ms (3.5%)

localize260.0ms (4.3%)

series14.0ms (0.2%)

simplify126.0ms (2.1%)

rewrite177.0ms (2.9%)

eval90.0ms (1.5%)

prune23.0ms (0.4%)

simplify277.0ms (4.6%)

localize184.0ms (3%)

series14.0ms (0.2%)

simplify301.0ms (5%)

rewrite357.0ms (5.9%)

eval85.0ms (1.4%)

prune24.0ms (0.4%)

regimes46.0ms (0.8%)

regimes15.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.5%)

soundness844.0ms (13.9%)

preprocess45.0ms (0.7%)

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