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

0.4MiB live, 0.4MiB 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)

sample954.0ms (17.8%)

Memory

34.1MiB live, 1 164.7MiB allocated

Samples

689.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

const: 198.0ms (43.6% of total)

ival-mult: 162.0ms (35.7% of total)

ival-sub: 46.0ms (10.1% of total)

ival-add: 35.0ms (7.7% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain223.0ms (4.2%)

Memory

-19.6MiB live, 117.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

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

const: 12.0ms (48.8% of total)

ival-mult: 6.0ms (24.4% of total)

ival-sub: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1.1%)

Memory

-1.0MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify19.0ms (0.4%)

Memory

-10.3MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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)

localize27.0ms (0.5%)

Memory

15.5MiB live, 54.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.0078125	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.1328125	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.29296875	(*.f64 x #s(literal 3/25 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

const: 7.0ms (53.7% of total)

ival-mult: 3.0ms (23% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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))

simplify147.0ms (2.8%)

Memory

-19.2MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite187.0ms (3.5%)

Memory

25.0MiB live, 262.4MiB allocated

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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eval52.0ms (1%)

Memory: -30.4MiB live, 131.8MiB allocated
Compiler: Compiled 7 090 to 955 computations (86.5% saved)

prune19.0ms (0.4%)

Memory

-0.9MiB live, 38.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Accuracy

100.0%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
▶	99.9%	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
	99.5%	(-.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)))))
▶	99.7%	(-.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)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
	47.6%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
	54.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	53.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	45.7%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 177 to 152 computations (14.1% saved)

simplify140.0ms (2.6%)

Memory

22.0MiB live, 98.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	132
0	44	131
1	88	131
2	162	127
3	275	127
4	482	127
5	728	127
6	1216	127
7	2399	127
8	3264	127
9	3483	127
10	3550	127
11	3557	127
12	3564	127
13	3564	127
14	3662	127
15	3702	127
16	3702	127
17	3702	127
0	3702	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize153.0ms (2.9%)

Memory

-11.9MiB live, 190.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.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	0.1875	(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0.1875	(*.f64 #s(literal 9/625 binary64) x)
accuracy	14.771455950681508	(/.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	0.09765625	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.19140625	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.40472598114723146	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	29.53780432824078	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	34.739159485291516	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
accuracy	0.1328125	(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
accuracy	0.19140625	(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))

Samples

123.0ms

256×

valid

Compiler

Compiled 140 to 31 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

const: 79.0ms (72.2% of total)

ival-mult: 17.0ms (15.5% of total)

ival-add: 6.0ms (5.5% of total)

ival-sub: 5.0ms (4.6% of total)

ival-div: 2.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-9.2MiB live, 28.1MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- 1 (* (+ (* 3/25 x) 253/1000) x)) (* (+ (* 3/25 x) 253/1000) x) (+ (* 3/25 x) 253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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) (* 9/625 x) (+ (* 3/25 x) -253/1000))
3.0ms	x	@	inf	((- 1 (* (+ (* 3/25 x) 253/1000) x)) (* (+ (* 3/25 x) 253/1000) x) (+ (* 3/25 x) 253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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) (* 9/625 x) (+ (* 3/25 x) -253/1000))
3.0ms	x	@	0	((- 1 (* (+ (* 3/25 x) 253/1000) x)) (* (+ (* 3/25 x) 253/1000) x) (+ (* 3/25 x) 253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 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) (* 9/625 x) (+ (* 3/25 x) -253/1000))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify142.0ms (2.7%)

Memory

31.2MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1016
1	136	1006
2	343	986
3	733	986
4	1413	986
5	3158	986
6	5043	986
7	6312	986
8	7634	986
0	8059	848

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite160.0ms (3%)

Memory

-21.8MiB live, 231.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	115
0	44	93
1	206	93
2	1524	88
0	8969	88

Stop Event

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

Counts

15 → 1 241

Calls

Call 1

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

Outputs
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eval230.0ms (4.3%)

Memory: 30.7MiB live, 414.9MiB allocated
Compiler: Compiled 34 218 to 2 986 computations (91.3% saved)

prune59.0ms (1.1%)

Memory

-26.7MiB live, 148.8MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 413	8	1 421
Fresh	4	1	5
Picked	1	4	5
Done	1	0	1
Total	1 419	13	1 432

Accuracy

100.0%

Counts

1 432 → 13

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))
▶	99.7%	(fma.f64 (/.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 #s(literal 1 binary64))
	99.4%	(fma.f64 (/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
	99.7%	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
▶	99.9%	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
	99.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
▶	47.6%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
▶	54.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	53.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	45.7%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 201 to 169 computations (15.9% saved)

simplify194.0ms (3.6%)

Memory

-8.3MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	0	(fma.f64 (/.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 #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
cost-diff	0	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
cost-diff	128	(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	148
0	53	145
1	95	139
2	168	137
3	497	137
4	1107	137
5	2009	137
6	3070	137
7	3873	137
8	4014	137
9	4088	137
10	4103	137
11	4107	137
12	4291	137
13	4339	137
14	4339	137
15	4339	137
16	4339	137
17	4443	137
18	4887	137
19	4887	137
20	4887	137
0	4887	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize131.0ms (2.4%)

Memory

13.6MiB live, 169.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 (/.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 #s(literal 1 binary64))
accuracy	0.1875	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.1875	(*.f64 #s(literal 9/625 binary64) x)
accuracy	14.771455950681508	(/.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	(neg.f64 x)
accuracy	0.1875	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
accuracy	0.19140625	(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
accuracy	0.1328125	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy	0.19140625	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	28.7849076927341	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy	0.09765625	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	34.072461907869695	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	0.0078125	(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.09765625	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
accuracy	0.29296875	(*.f64 x #s(literal 3/25 binary64))

Samples

112.0ms

256×

valid

Compiler

Compiled 156 to 35 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 33.0ms (34.4% of total)

ival-div: 22.0ms (22.9% of total)

ival-add: 18.0ms (18.8% of total)

const: 18.0ms (18.8% of total)

ival-sub: 3.0ms (3.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory

-11.6MiB live, 28.7MiB allocated

Counts

18 → 216

Calls

Call 1

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

8.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify133.0ms (2.5%)

Memory

10.4MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1166
1	304	1158
2	699	1158
3	1478	1154
4	3100	1154
5	6351	1154
0	8126	992

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

rewrite175.0ms (3.3%)

Memory

1.6MiB live, 315.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	127
0	53	112
1	238	103
2	1920	102
0	8622	102

Stop Event

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

Counts

18 → 1 215

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>

eval228.0ms (4.3%)

Memory: 40.2MiB live, 383.5MiB allocated
Compiler: Compiled 27 169 to 2 506 computations (90.8% saved)

prune51.0ms (1%)

Memory

-52.4MiB live, 126.1MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 426	5	1 431
Fresh	2	2	4
Picked	2	3	5
Done	0	4	4
Total	1 430	14	1 444

Accuracy

100.0%

Counts

1 444 → 14

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))
	97.8%	(fma.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
▶	99.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
✓	47.6%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	97.6%	(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 binary64) x))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
▶	54.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
	54.8%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
✓	54.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
▶	3.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	53.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	45.7%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 175 to 149 computations (14.9% saved)

simplify44.0ms (0.8%)

Memory

16.8MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	0	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff	0	#s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 binary64) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 binary64) x)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 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 (* (+ (* 3/25 x) 253/1000) x)) (.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	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	168
0	50	165
1	81	164
2	135	163
3	276	161
4	670	161
5	1043	161
6	1516	161
7	1643	161
8	1656	161
9	1663	161
10	1665	161
0	1665	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (2.2%)

Memory

7.5MiB live, 162.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1875	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy	0.19140625	(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.21875	(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	28.7849076927341	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))))
accuracy	0	(neg.f64 x)
accuracy	0.1875	(/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 binary64) x)))
accuracy	0.453125	(/.f64 #s(literal -25/3 binary64) x)
accuracy	29.422021757839346	#s(approx (/ -1 (+ (* x 3/25) 253/1000)) (/.f64 #s(literal -25/3 binary64) x))
accuracy	0.16015625	(.f64 (.f64 #s(literal -3/25 binary64) x) x)
accuracy	0.29296875	(*.f64 #s(literal -3/25 binary64) x)
accuracy	29.53780432824078	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
accuracy	0.1328125	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy	28.7849076927341	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
accuracy	34.072461907869695	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.046875	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
accuracy	0.29535098114723146	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Samples

76.0ms

256×

valid

Compiler

Compiled 138 to 32 computations (76.8% saved)

Precisions

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

const: 18.0ms (34.9% of total)

ival-mult: 14.0ms (27.2% of total)

ival-div: 10.0ms (19.4% of total)

ival-add: 5.0ms (9.7% of total)

ival-sub: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

-18.6MiB live, 23.3MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify176.0ms (3.3%)

Memory

9.6MiB live, 202.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1220
1	276	1204
2	636	1204
3	1327	1196
4	2811	1196
5	6258	1196
0	8099	1055

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

rewrite147.0ms (2.8%)

Memory

-1.1MiB live, 240.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	153
0	50	150
1	200	147
2	1298	146
0	8695	137

Stop Event

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

Counts

18 → 495

Calls

Call 1

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

Outputs
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eval93.0ms (1.7%)

Memory: 9.6MiB live, 245.9MiB allocated
Compiler: Compiled 11 621 to 1 634 computations (85.9% saved)

prune151.0ms (2.8%)

Memory

10.8MiB live, 89.5MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	707	4	711
Fresh	0	2	2
Picked	2	3	5
Done	0	7	7
Total	709	16	725

Accuracy

100.0%

Counts

725 → 16

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))
	97.8%	(fma.f64 (/.f64 #s(approx (+ (* (* 9/625 x) x) -64009/1000000) (.f64 (.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
✓	99.5%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
✓	47.6%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	97.6%	(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* x 3/25) 253/1000)) (*.f64 #s(literal 25/3 binary64) (/.f64 #s(literal -1 binary64) x)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 (*.f64 #s(literal 3/25 binary64) x) (/.f64 #s(literal -1 binary64) x)))
	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* 3/25 x) 253/1000) (*.f64 #s(literal 3/25 binary64) x)))))
	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (/.f64 x (/.f64 #s(literal -25/3 binary64) x)))
	54.8%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (fma.f64 (.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
✓	54.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓	53.7%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	3.9%	#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	53.4%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	45.7%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 383 to 203 computations (47% saved)

regimes27.0ms (0.5%)

Memory

4.9MiB live, 48.4MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
8.0ms	x
7.0ms	(-.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

-15.8MiB live, 23.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes10.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes6.0ms (0.1%)

Memory

-26.2MiB live, 12.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.2%	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)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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
97.9%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
97.9%	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)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* (+ (* 3/25 x) 253/1000) x)) (.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
47.6%	1	`x`
47.6%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
47.6%	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

-26.9MiB live, 12.2MiB allocated

Accuracy

Total -27.8b remaining (-79.9%)

Threshold costs -27.8b (-79.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	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
45.7%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
45.7%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
45.7%	1	`x`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4781392128649958	3003.4872878506953

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4781392128649958	3003.4872878506953

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.4781392128649958	3003.4872878506953

Compiler

Compiled 12 to 12 computations (0% saved)

simplify39.0ms (0.7%)

Memory

-14.9MiB live, 73.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	158
1	54	158
2	65	158
3	71	158
4	75	158
5	76	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (*.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))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 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 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
#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
(-.f64 #s(literal 1 binary64) (*.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))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 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 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) x) #s(literal 1/2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 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 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x)))
(if (<=.f64 (.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) x) #s(literal 1/2 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 (* (+ (* 3/25 x) 253/1000) x)) (.f64 (.f64 #s(literal -3/25 binary64) x) x)))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 1/2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (.f64 (+.f64 (.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64)) x) #s(literal 1/2 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))))
#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))

soundness889.0ms (16.6%)

Memory

22.2MiB live, 489.2MiB allocated

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	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2396	248
6	4106	248
7	5204	248
8	6491	248
9	7542	248
0	8017	215
0	51	1016
1	136	1006
2	343	986
3	733	986
4	1413	986
5	3158	986
6	5043	986
7	6312	986
8	7634	986
0	8059	848

Stop Event

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

Compiler

Compiled 187 to 99 computations (47.1% saved)

preprocess80.0ms (1.5%)

Memory: -10.3MiB live, 149.7MiB allocated
Compiler: Compiled 190 to 76 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%)

sample954.0ms (17.8%)

explain223.0ms (4.2%)

preprocess60.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.4%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

simplify147.0ms (2.8%)

rewrite187.0ms (3.5%)

eval52.0ms (1%)

prune19.0ms (0.4%)

simplify140.0ms (2.6%)

localize153.0ms (2.9%)

series19.0ms (0.4%)

simplify142.0ms (2.7%)

rewrite160.0ms (3%)

eval230.0ms (4.3%)

prune59.0ms (1.1%)

simplify194.0ms (3.6%)

localize131.0ms (2.4%)

series19.0ms (0.4%)

simplify133.0ms (2.5%)

rewrite175.0ms (3.3%)

eval228.0ms (4.3%)

prune51.0ms (1%)

simplify44.0ms (0.8%)

localize116.0ms (2.2%)

series14.0ms (0.3%)

simplify176.0ms (3.3%)

rewrite147.0ms (2.8%)

eval93.0ms (1.7%)

prune151.0ms (2.8%)

regimes27.0ms (0.5%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify39.0ms (0.7%)

soundness889.0ms (16.6%)

preprocess80.0ms (1.5%)

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