Metrics for 3frac (problem 3.3.3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.8%	6.3%	50%	0%	0%	0%	4
93.8%	46.9%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	50%	0%	50%	0%	0%	0%	11
100%	50%	0%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 13 computations (35% saved)

sample2.1s (22.9%)

Memory

-6.7MiB live, 2 425.9MiB allocated

Samples

1.5s	7 248×	1	valid
136.0ms	536×	2	valid
30.0ms	472×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-div: 560.0ms (40.3% of total)

adjust: 300.0ms (21.6% of total)

ival-add: 263.0ms (18.9% of total)

ival-sub: 178.0ms (12.8% of total)

ival-fabs: 56.0ms (4% of total)

ival->: 20.0ms (1.4% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain259.0ms (2.8%)

Memory

13.1MiB live, 284.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
91	1	(14.42883946026702)	-	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(/.f64 #s(literal 2 binary64) x)`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	92	0

Confusion

	Predicted +	Predicted -
+	91	0
-	1	164

Precision

0.9891304347826086

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	0
-	1	0	164

Precision?

0.9891304347826086

Recall?

1.0

Freqs

test

number	freq
0	164
1	92

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms	426×	1	valid
10.0ms	28×	2	valid
4.0ms	58×	0	valid

Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 45.0ms (56.7% of total)

adjust: 13.0ms (16.4% of total)

ival-sub: 11.0ms (13.9% of total)

ival-add: 9.0ms (11.3% of total)

exact: 1.0ms (1.3% of total)

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

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

preprocess41.0ms (0.5%)

Memory

7.0MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs

(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify17.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
160×	`lower-*.f32`
144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize72.0ms (0.8%)

Memory

-24.8MiB live, 51.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.03515625	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy	20.10509423841584	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

53.0ms	213×	1	valid
3.0ms	14×	2	valid
2.0ms	29×	0	valid

Compiler

Compiled 48 to 12 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 22.0ms (46.3% of total)

ival-add: 14.0ms (29.5% of total)

adjust: 6.0ms (12.6% of total)

ival-sub: 4.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	0	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	-inf	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0ms	x	@	inf	(/ 1 (+ x 1))
0.0ms	x	@	inf	(- (/ 1 (+ x 1)) (/ 2 x))

simplify250.0ms (2.7%)

Memory

-12.1MiB live, 246.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 678×	`lower-fma.f64`
8 678×	`lower-fma.f32`
2 816×	`lower--.f64`
2 816×	`lower--.f32`
2 690×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

rewrite292.0ms (3.2%)

Memory

23.8MiB live, 406.0MiB allocated

Rules

6 034×	`lower-fma.f64`
6 034×	`lower-fma.f32`
5 166×	`lower-*.f64`
5 166×	`lower-*.f32`
4 962×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32

Stop Event

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

Counts

5 → 441

Calls

Call 1

Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))

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

eval69.0ms (0.8%)

Memory: 4.2MiB live, 152.0MiB allocated
Compiler: Compiled 16 853 to 1 682 computations (90% saved)

prune174.0ms (1.9%)

Memory

-17.4MiB live, 197.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	488	9	497
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	489	9	498

Accuracy

99.5%

Counts

498 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))
▶	8.4%	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
	68.5%	(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
▶	20.7%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
	16.3%	(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
▶	99.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
▶	99.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
	97.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
▶	5.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 356 to 182 computations (48.9% saved)

simplify213.0ms (2.3%)

Memory

51.1MiB live, 341.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	192	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
cost-diff	384	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
cost-diff	1344	(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
cost-diff	192	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
cost-diff	384	(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff	0	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))

Rules

12 538×	`lower-fma.f32`
12 536×	`lower-fma.f64`
2 788×	`lower--.f32`
2 782×	`lower--.f64`
2 212×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	342
0	61	307
1	121	307
2	315	307
3	914	295
4	2651	271
5	6876	271
0	8178	261

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal -2 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 x (.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x x))
(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
x
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
(.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))
#s(literal 2 binary64)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal -2 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
x
(.f64 x (.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x x))
(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 x x x)))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(fma.f64 x x x)
x
(+.f64 #s(literal 1 binary64) x)
(.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal -2 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))

localize215.0ms (2.4%)

Memory

-21.5MiB live, 319.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
accuracy	0.0625	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	0.27234045697185283	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
accuracy	59.57777819830071	(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
accuracy	0	(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
accuracy	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0.5752041567420225	(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	58.61486530035969	(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
accuracy	0.0625	(.f64 x (.f64 x x))
accuracy	0.27624670697185283	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
accuracy	0.3310376516498244	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
accuracy	0.5947354066945201	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	60.60409967785654	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy	0.1586370740442927	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
accuracy	0.27624670697185283	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
accuracy	0.5947354066945201	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	0.597020416462962	(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))

Samples

135.0ms	233×	1	valid
24.0ms	14×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 309 to 38 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

adjust: 32.0ms (27.9% of total)

ival-div: 28.0ms (24.4% of total)

ival-mult: 26.0ms (22.7% of total)

ival-sub: 14.0ms (12.2% of total)

ival-add: 14.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

1.0MiB live, 41.2MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)) (patch (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (patch (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (patch (fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (patch (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (patch (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 7)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- x 1))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 x)) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* -1 x) 1))) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* -1 x) 1))) (taylor 0 x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) (taylor inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) (taylor -inf x) (#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) (* x (* x x)))
2.0ms	x	@	inf	(+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2))))
1.0ms	x	@	-inf	(+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2))))
1.0ms	x	@	0	(/ -2 x)
0.0ms	x	@	0	(+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2))))

simplify255.0ms (2.8%)

Memory

2.0MiB live, 265.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 556×	`lower-fma.f64`
13 556×	`lower-fma.f32`
3 266×	`lower-*.f64`
3 266×	`lower-*.f32`
1 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1961
1	318	1943
2	862	1859
3	2820	1797
4	6811	1797
0	8116	1708

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 7))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
2
2
2
2
2
2
2
2
2
2
2
2
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* x (- x 1))) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 x)) (pow x 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(+ 2 (* x (- (* -1 x) 1)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 7))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 7))
(/.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 7))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x x)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))
(+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (- x 1))) x)
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 x) 1)))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(+ 2 (* x (- (* -1 x) 1)))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))

rewrite357.0ms (3.9%)

Memory

-1.5MiB live, 393.5MiB allocated

Rules

4 988×	`lower-/.f32`
4 972×	`lower-/.f64`
2 782×	`lower-*.f32`
2 770×	`lower-*.f64`
2 234×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	269
0	61	240
1	328	238
2	3257	238
0	8447	214

Stop Event

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

Counts

20 → 923

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (.f64 x (.f64 x x)))))
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(fma.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) x (*.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) x))
(fma.f64 #s(literal -1 binary64) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 x (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal -1 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 x #s(literal -1 binary64))) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))) (neg.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 #s(literal -8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))

eval203.0ms (2.2%)

Memory: 16.1MiB live, 346.1MiB allocated
Compiler: Compiled 45 142 to 2 753 computations (93.9% saved)

prune206.0ms (2.2%)

Memory

-3.5MiB live, 401.1MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 411	9	1 420
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	1 418	11	1 429

Accuracy

100.0%

Counts

1 429 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
▶	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
▶	99.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
	99.4%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x))
▶	99.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
▶	99.1%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
✓	99.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
	99.0%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))))
✓	5.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
	13.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))))
	36.9%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))

Compiler

Compiled 288 to 153 computations (46.9% saved)

simplify204.0ms (2.2%)

Memory

-12.2MiB live, 357.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
cost-diff	5824	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
cost-diff	384	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
cost-diff	0	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
cost-diff	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff	192	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))

Rules

11 954×	`lower-fma.f64`
11 954×	`lower-fma.f32`
1 984×	`lower-*.f32`
1 976×	`lower-*.f64`
1 824×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	337
0	65	397
1	113	397
2	262	397
3	688	373
4	1775	257
5	5606	257
0	8140	256

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
#s(literal 2 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

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

localize228.0ms (2.5%)

Memory

33.5MiB live, 308.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.27624670697185283	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.3310376516498244	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.5947354066945201	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
accuracy	0.125	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
accuracy	0.3310376516498244	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
accuracy	0.5947354066945201	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0.01953125	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
accuracy	0.15625	(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
accuracy	0.3310376516498244	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
accuracy	0.5947354066945201	(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.0625	(.f64 x (.f64 x x))
accuracy	0.27234045697185283	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
accuracy	1.0624442534241267	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
accuracy	0	(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
accuracy	0.0625	(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy	0.27234045697185283	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))

Samples

115.0ms	233×	1	valid
8.0ms	14×	2	valid
3.0ms	9×	0	valid

Compiler

Compiled 287 to 38 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 38.0ms (38.8% of total)

adjust: 19.0ms (19.4% of total)

ival-mult: 17.0ms (17.4% of total)

ival-add: 12.0ms (12.3% of total)

ival-sub: 7.0ms (7.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series15.0ms (0.2%)

Memory

-19.9MiB live, 17.5MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))) (patch (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (patch #s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (patch (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (patch (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) (patch (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) x) x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (patch (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (.f64 x x)) #<representation binary64>) () ())

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

Calls

63 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 2 (* x (* x x)))
0.0ms	x	@	inf	(/ (/ (+ 2 (/ 2 (* x x))) x) (* x x))
0.0ms	x	@	-inf	(/ (+ 2 (/ 2 (* x x))) x)
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	inf	(/ 2 (* x (* x x)))

simplify217.0ms (2.4%)

Memory

34.1MiB live, 264.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 576×	`lower-fma.f64`
12 576×	`lower-fma.f32`
3 990×	`lower-*.f64`
3 990×	`lower-*.f32`
1 822×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1951
1	159	1942
2	447	1893
3	1594	1843
4	4603	1831
0	8156	1787

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 251

Calls

Call 1

Inputs
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
2
2
2
2
2
2
2
2
2
2
2
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))

Outputs
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* x (- (pow x 2) 1))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
x
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(/.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))

rewrite368.0ms (4%)

Memory

-9.3MiB live, 384.6MiB allocated

Rules

4 854×	`lower-/.f32`
4 836×	`lower-/.f64`
3 988×	`lower-fma.f64`
3 988×	`lower-fma.f32`
3 268×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	287
0	65	267
1	309	251
2	2872	251
0	8992	228

Stop Event

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

Counts

21 → 763

Calls

Call 1

Inputs
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))

Outputs
(+.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (-.f64 (.f64 x x) x) (.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) x))
(+.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) (.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 x x) x) x) (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) x) x))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (.f64 x (-.f64 (.f64 x x) x)) (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)) (.f64 x (-.f64 (.f64 x x) x)))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))
(fma.f64 x (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x (-.f64 (.f64 x x) x) (.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 x (fma.f64 x x x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x) (.f64 x (-.f64 (*.f64 x x) x)))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) (*.f64 (fma.f64 x x x) x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) x (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 (.f64 x x) x) x (.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64) (.f64 (-.f64 (*.f64 x x) x) x))
(/.f64 (.f64 (fma.f64 x x x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x x) (fma.f64 x (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (fma.f64 x x x))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (.f64 (-.f64 (.f64 x x) x) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 (.f64 x x) x) (.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) x)) (.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (fma.f64 x x x)) (-.f64 (.f64 (.f64 x (fma.f64 x x x)) (.f64 x (fma.f64 x x x))) (.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x x)) (.f64 x (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) x) (-.f64 (.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 x x x) x) (.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 x x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 x x) x) x) (.f64 (-.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64))) (.f64 (.f64 (-.f64 (.f64 x x) x) x) (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 x x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 x x) x) x) (.f64 (-.f64 (.f64 x x) x) x)) (.f64 (.f64 (-.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 x x) x) x)))))
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(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))

eval177.0ms (1.9%)

Memory: 26.5MiB live, 247.7MiB allocated
Compiler: Compiled 25 687 to 1 822 computations (92.9% saved)

prune140.0ms (1.5%)

Memory

-19.3MiB live, 269.7MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 234	8	1 242
Fresh	4	0	4
Picked	4	1	5
Done	1	1	2
Total	1 243	10	1 253

Accuracy

100.0%

Counts

1 253 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
	99.5%	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
▶	99.5%	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
	98.2%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
▶	98.1%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
▶	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))))
▶	98.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
✓	5.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 174 to 102 computations (41.4% saved)

simplify217.0ms (2.4%)

Memory

34.6MiB live, 367.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff	5824	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
cost-diff	384	(/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x)
cost-diff	384	(/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))
cost-diff	576	(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))

Rules

13 834×	`lower-fma.f32`
13 830×	`lower-fma.f64`
2 378×	`lower-+.f32`
2 376×	`lower-+.f64`
1 974×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	328
0	60	378
1	116	366
2	251	361
3	638	325
4	1598	181
5	4291	181
6	7667	181
0	8066	181

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 x x x)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
(/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)
(/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x)
(/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x)
#s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

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

localize262.0ms (2.9%)

Memory

-19.6MiB live, 363.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.27234045697185283	(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	1.0624442534241267	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0703125	(/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)
accuracy	0.125	(/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x)
accuracy	0.3310376516498244	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
accuracy	1.0374668024204226	#s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.15625	(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
accuracy	1.0624442534241267	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
accuracy	0.0625	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.27234045697185283	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
accuracy	0.05859375	(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
accuracy	0.5908291566945201	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))

Samples

171.0ms	233×	1	valid
48.0ms	14×	2	valid
2.0ms	9×	0	valid

Compiler

Compiled 288 to 39 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 39.0ms (24.4% of total)

ival-div: 36.0ms (22.5% of total)

ival-sub: 35.0ms (21.9% of total)

ival-add: 26.0ms (16.3% of total)

adjust: 21.0ms (13.1% of total)

ival-pow: 3.0ms (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 (0.2%)

Memory

-14.1MiB live, 22.6MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x x #s(literal -1 binary64))) (patch (.f64 x (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x x))) (patch #s(approx (/ (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) (patch (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) (patch (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -2 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* x (- (* 2 x) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 2 (/ 1 x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 2 (* 2 (/ 1 x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (patch (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (patch #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (patch (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) (patch #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x)) (+ x -1))
0.0ms	x	@	-inf	(/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x))
0.0ms	x	@	0	(/ (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (+ (* x x) x)) (+ x -1))
0.0ms	x	@	-inf	(* x (+ (* x x) -1))
0.0ms	x	@	0	(/ 2 x)

simplify260.0ms (2.8%)

Memory

10.8MiB live, 307.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 296×	`lower-fma.f64`
15 296×	`lower-fma.f32`
3 204×	`lower-*.f64`
3 204×	`lower-*.f32`
2 450×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1799
1	273	1786
2	728	1733
3	2405	1674
4	6857	1671
0	8559	1621

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ (+ 2 (* -2 x)) x)
(/ (+ 2 (* x (- (* 2 x) 2))) x)
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x)
(/ 2 (pow x 2))
(/ (- 2 (* 2 (/ 1 x))) (pow x 2))
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2))
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 2 (/ 1 x))) (pow x 2))
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2))
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2))
2
2
2
2
2
2
2
2
2
2
2
2
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
2
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+ 2 (* 2 (/ 1 (pow x 2))))

Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x x) x) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 x (fma.f64 x (.f64 #s(literal -2 binary64) (fma.f64 x (.f64 x x) x)) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)))) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (*.f64 x x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -2 x)) x)
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x)
(/ (+ 2 (* x (- (* 2 x) 2))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x))
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 2 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x))
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
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(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

rewrite757.0ms (8.3%)

Memory

0.5MiB live, 352.0MiB allocated

Rules

5 104×	`lower-/.f32`
5 086×	`lower-/.f64`
4 970×	`lower-fma.f32`
4 966×	`lower-fma.f64`
3 416×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	294
0	60	272
1	322	244
2	3121	244
0	9457	228

Stop Event

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

Counts

20 → 742

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x))
#s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))
(fma.f64 x x x)
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x)
(/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
(/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x x x) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 x x x) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (fma.f64 x x x) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (fma.f64 x x x) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 x x x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x x))
(/.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x x)))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x x))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (fma.f64 x x x) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)))
(.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (neg.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x))
(.f64 (/.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (neg.f64 (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (+ ( 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
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(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64))

eval208.0ms (2.3%)

Memory: -2.1MiB live, 190.0MiB allocated
Compiler: Compiled 15 974 to 1 836 computations (88.5% saved)

prune259.0ms (2.8%)

Memory

-10.9MiB live, 240.2MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	991	1	992
Fresh	0	3	3
Picked	0	5	5
Done	0	2	2
Total	991	11	1 002

Accuracy

100.0%

Counts

1 002 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
	99.7%	(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
	99.5%	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
✓	99.5%	(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
	98.2%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
✓	98.1%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
✓	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
	97.9%	#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))))
✓	98.2%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
✓	5.3%	#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Compiler

Compiled 495 to 152 computations (69.3% saved)

regimes15.0ms (0.2%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(approx (+ 2 (/ 2 (* x x))) #s(literal 2 binary64)) x) x) x))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x (*.f64 x x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ -2 (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (.f64 x x) (*.f64 x x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x x)) x))
(fma.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) x))
(/.f64 (fma.f64 (/.f64 (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)) x) (.f64 x (+.f64 x #s(literal -1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 x x))) (.f64 x (.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 x (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) x)))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- 2 (/ (+ -2 (/ -2 (* x x))) (* x x))) (* x (* x x))) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))))

Outputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))

Calls

2 calls:

8.0ms	x
6.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes25.0ms (0.3%)

Memory

-25.5MiB live, 13.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))

Outputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))

Calls

2 calls:

22.0ms	x
2.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) x))))

Outputs
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))

Outputs
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))))

#s(approx (/ (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) (* (+ x -1) (* x (+ 1 x)))) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))))

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify30.0ms (0.3%)

Memory

-20.6MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	158
1	45	158

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

Outputs
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (+ (* 1 (* x (+ 1 x))) (* (+ x -1) (- x (* (+ 1 x) 2)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

soundness844.0ms (9.2%)

Memory

-1.8MiB live, 684.1MiB allocated

Rules

13 556×	`lower-fma.f64`
13 556×	`lower-fma.f32`
8 678×	`lower-fma.f64`
8 678×	`lower-fma.f32`
6 034×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	294
0	60	272
1	322	244
2	3121	244
0	9457	228
0	10	35
0	17	35
1	94	35
2	1095	35
0	8508	32
0	102	449
1	268	428
2	699	407
3	2208	394
4	6905	394
0	8101	388
0	46	287
0	65	267
1	309	251
2	2872	251
0	8992	228
0	130	1961
1	318	1943
2	862	1859
3	2820	1797
4	6811	1797
0	8116	1708

Stop Event

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

Compiler

Compiled 261 to 152 computations (41.8% saved)

preprocess142.0ms (1.6%)

Memory: -9.1MiB live, 264.9MiB allocated
Compiler: Compiled 182 to 86 computations (52.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46

start0.0ms (0%)

analyze3.0ms (0%)

sample2.1s (22.9%)

explain259.0ms (2.8%)

preprocess41.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize72.0ms (0.8%)

series4.0ms (0%)

simplify250.0ms (2.7%)

rewrite292.0ms (3.2%)

eval69.0ms (0.8%)

prune174.0ms (1.9%)

simplify213.0ms (2.3%)

localize215.0ms (2.4%)

series23.0ms (0.3%)

simplify255.0ms (2.8%)

rewrite357.0ms (3.9%)

eval203.0ms (2.2%)

prune206.0ms (2.2%)

simplify204.0ms (2.2%)

localize228.0ms (2.5%)

series15.0ms (0.2%)

simplify217.0ms (2.4%)

rewrite368.0ms (4%)

eval177.0ms (1.9%)

prune140.0ms (1.5%)

simplify217.0ms (2.4%)

localize262.0ms (2.9%)

series14.0ms (0.2%)

simplify260.0ms (2.8%)

rewrite757.0ms (8.3%)

eval208.0ms (2.3%)

prune259.0ms (2.8%)

regimes15.0ms (0.2%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify30.0ms (0.3%)

soundness844.0ms (9.2%)

preprocess142.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	37
1	32	32
2	87	30
3	223	30
4	437	30
5	544	30
6	577	30
7	582	30
0	10	15
0	17	15
1	28	15
2	46	15
3	74	15
4	134	15
5	248	15
6	389	15
7	499	15
8	546	15
0	546	15

Iter	Nodes	Cost
0	10	46
0	17	46
1	28	46
2	46	46
3	74	46
4	134	46
5	248	46
6	389	46
7	499	46
8	546	46
0	546	46