Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample923.0ms (11.2%)

Memory

53.5MiB live, 1 175.6MiB allocated

Samples

457.0ms	3 847×	1	valid
219.0ms	4 409×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-div: 171.0ms (36.6% of total)

ival-sub: 112.0ms (24% of total)

adjust: 95.0ms (20.3% of total)

ival-add: 75.0ms (16.1% of total)

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

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain419.0ms (5.1%)

Memory

-201.6MiB live, 184.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
71	1	(-8.630119969136246e+161)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(/.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	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	71	0
-	1	184

Precision

0.9861111111111112

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	1	0	184

Precision?

0.9861111111111112

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

345.0ms	210×	1	valid
17.0ms	302×	0	valid

Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-sub: 327.0ms (94.4% of total)

ival-div: 10.0ms (2.9% of total)

adjust: 5.0ms (1.4% of total)

ival-add: 4.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess30.0ms (0.4%)

Memory

5.7MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Rules

160×	`lower-fma.f64`
160×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-*.f32`
72×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Stop Event

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

Calls

Call 1

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

Outputs

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

Symmetry

(abs x)

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify13.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

160×	`lower-fma.f64`
160×	`lower-fma.f32`
96×	`lower-*.f64`
96×	`lower-*.f32`
72×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1%)

Memory

-23.9MiB live, 61.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	15.365648395026655	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

63.0ms	105×	1	valid
11.0ms	151×	0	valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-div: 5.0ms (39.5% of total)

ival-sub: 3.0ms (23.7% of total)

adjust: 2.0ms (15.8% of total)

ival-add: 2.0ms (15.8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

simplify265.0ms (3.2%)

Memory

-7.6MiB live, 185.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 646×	`lower-fma.f64`
10 646×	`lower-fma.f32`
3 680×	`lower-*.f64`
3 680×	`lower-*.f32`
1 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	405
1	220	395
2	557	373
3	1746	352
4	5225	352
0	8136	343

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite361.0ms (4.4%)

Memory

24.8MiB live, 212.8MiB allocated

Rules

10 498×	`lower-fma.f64`
10 498×	`lower-fma.f32`
3 964×	`lower-*.f64`
3 964×	`lower-*.f32`
3 924×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	12	24
1	66	24
2	644	24
0	9039	22

Stop Event

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

Counts

4 → 702

Calls

Call 1

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

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

eval263.0ms (3.2%)

Memory: -8.8MiB live, 115.6MiB allocated
Compiler: Compiled 21 683 to 1 996 computations (90.8% saved)

prune438.0ms (5.3%)

Memory

-18.0MiB live, 152.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	741	7	748
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	742	7	749

Accuracy

99.3%

Counts

749 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.5%	(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
	76.5%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	76.5%	(.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
▶	55.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
▶	55.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶	44.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	55.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 162 to 88 computations (45.7% saved)

simplify324.0ms (3.9%)

Memory

37.2MiB live, 226.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (*.f64 x x) x)
cost-diff	0	(.f64 x (fma.f64 x (.f64 x x) x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
cost-diff	128	(fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
cost-diff	128	(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	192	(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
cost-diff	384	(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
cost-diff	1024	(.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))

Rules

13 802×	`lower-fma.f32`
13 794×	`lower-fma.f64`
2 700×	`lower-+.f32`
2 696×	`lower-+.f64`
2 434×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	192
0	45	184
1	98	184
2	240	160
3	739	160
4	2025	160
5	6365	160
0	8193	157

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (2.6%)

Memory

-27.7MiB live, 136.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(.f64 x (fma.f64 x (.f64 x x) x))
accuracy	0.07421875	(fma.f64 x (*.f64 x x) x)
accuracy	28.606527550552133	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.5215405437238823	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	35.35514102837042	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy	0	(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	28.65558392690796	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy	28.523708588356456	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0.0625	(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.078125	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
accuracy	5.048181956305118	(.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
accuracy	26.402343750000004	(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))

Samples

40.0ms	109×	1	valid
33.0ms	147×	0	valid

Compiler

Compiled 176 to 29 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (38.2% of total)

ival-add: 11.0ms (20% of total)

ival-div: 8.0ms (14.5% of total)

adjust: 8.0ms (14.5% of total)

ival-sub: 5.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

simplify317.0ms (3.8%)

Memory

6.4MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 548×	`lower-fma.f64`
17 548×	`lower-fma.f32`
4 132×	`lower-*.f64`
4 132×	`lower-*.f32`
3 308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1535
1	377	1485
2	1096	1373
3	3794	1330
0	8150	1260

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 179

Calls

Call 1

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

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

rewrite345.0ms (4.2%)

Memory

18.6MiB live, 440.2MiB allocated

Rules

5 526×	`lower-fma.f32`
5 518×	`lower-fma.f64`
4 356×	`lower-/.f32`
4 352×	`lower-/.f64`
3 202×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	45	154
1	241	150
2	2476	146
0	8661	143

Stop Event

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

Counts

15 → 579

Calls

Call 1

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

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

eval204.0ms (2.5%)

Memory: -33.5MiB live, 221.5MiB allocated
Compiler: Compiled 21 193 to 2 126 computations (90% saved)

prune108.0ms (1.3%)

Memory

-15.1MiB live, 264.7MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	799	3	802
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	800	9	809

Accuracy

100.0%

Counts

809 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
▶	76.5%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	92.1%	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
▶	55.5%	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
✓	55.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
✓	55.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶	44.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	44.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	55.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 155 to 90 computations (41.9% saved)

simplify203.0ms (2.5%)

Memory

20.8MiB live, 346.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
cost-diff	192	(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
cost-diff	384	(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
cost-diff	704	(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	576	(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff	384	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (+ x (+ -1 (- -1 x))) (* (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	1024	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))

Rules

12 714×	`lower-fma.f32`
12 710×	`lower-fma.f64`
2 534×	`lower-+.f32`
2 528×	`lower-+.f64`
2 320×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	233
0	56	222
1	111	222
2	251	170
3	782	170
4	2281	155
5	6282	155
0	8373	155

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.7%)

Memory

-4.8MiB live, 194.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
accuracy	0.00390625	(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
accuracy	0.0625	(/.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy	26.402343750000004	(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.45122804372388226	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	26.398437500000004	(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.14453125	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	35.35514102837042	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	5.048181956305118	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy	28.416257820449623	#s(approx (/ (+ x (+ -1 (- -1 x))) (* (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
accuracy	0	#s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))
accuracy	0.0625	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.078125	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
accuracy	5.048181956305118	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))

Samples

41.0ms	109×	1	valid
29.0ms	147×	0	valid

Compiler

Compiled 222 to 30 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 16.0ms (32.5% of total)

ival-add: 11.0ms (22.4% of total)

adjust: 8.0ms (16.3% of total)

ival-sub: 7.0ms (14.2% of total)

ival-mult: 7.0ms (14.2% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

-17.4MiB live, 21.1MiB allocated

Counts

19 → 228

Calls

Call 1

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

Calls

57 calls:

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

simplify250.0ms (3%)

Memory

35.6MiB live, 351.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 930×	`lower-fma.f64`
12 930×	`lower-fma.f32`
4 112×	`lower-*.f64`
4 112×	`lower-*.f32`
3 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1597
1	422	1561
2	1226	1466
3	3842	1422
0	8245	1367

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

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

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

rewrite310.0ms (3.8%)

Memory

-8.3MiB live, 455.1MiB allocated

Rules

5 204×	`lower-/.f32`
5 192×	`lower-/.f64`
4 086×	`lower-fma.f32`
4 082×	`lower-fma.f64`
3 040×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	198
0	56	175
1	291	172
2	3098	168
0	9496	168

Stop Event

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

Counts

19 → 1 242

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (.f64 (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(fma.f64 x (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (.f64 x #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(/.f64 (.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (neg.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))) (.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (neg.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))) (.f64 (-.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 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
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eval277.0ms (3.4%)

Memory: 28.2MiB live, 457.9MiB allocated
Compiler: Compiled 44 196 to 4 095 computations (90.7% saved)

prune258.0ms (3.1%)

Memory

-6.7MiB live, 474.9MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 889	5	1 894
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	1 892	11	1 903

Accuracy

100.0%

Counts

1 903 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
▶	55.7%	(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
▶	99.3%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	85.0%	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.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 #s(literal 1 binary64) x))
✓	92.1%	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
▶	55.2%	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(approx (+ 1 x) #s(literal 1 binary64)))
✓	55.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
✓	55.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓	44.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	44.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	55.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 166 to 99 computations (40.4% saved)

simplify187.0ms (2.3%)

Memory

28.3MiB live, 298.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
cost-diff	1024	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.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 #s(literal 1 binary64) x))
cost-diff	1088	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (+ 1 x) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (+ x (+ -1 (- -1 x))) (* (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))
cost-diff	704	(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))

Rules

12 176×	`lower-fma.f32`
12 172×	`lower-fma.f64`
3 210×	`lower-*.f32`
3 204×	`lower-*.f64`
1 842×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	271
0	49	256
1	103	247
2	284	173
3	1172	173
4	5344	173
0	8118	173

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

-36.7MiB live, 203.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0625	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	4.380795971819696	(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
accuracy	5.048181956305118	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.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 #s(literal 1 binary64) x))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
accuracy	0.45122804372388226	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0625	(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy	29.008119007103616	#s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64))
accuracy	0	(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
accuracy	5.048181956305118	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy	27.992647940616763	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	28.416257820449623	#s(approx (/ (+ x (+ -1 (- -1 x))) (* (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	#s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))
accuracy	0.0625	(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))

Samples

47.0ms	103×	1	valid
27.0ms	153×	0	valid

Compiler

Compiled 253 to 27 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 13.0ms (31.5% of total)

ival-add: 11.0ms (26.6% of total)

ival-mult: 9.0ms (21.8% of total)

adjust: 6.0ms (14.5% of total)

ival-sub: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify237.0ms (2.9%)

Memory

15.8MiB live, 358.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 762×	`lower-fma.f64`
11 762×	`lower-fma.f32`
4 076×	`lower-*.f64`
4 076×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1725
1	438	1649
2	1230	1600
3	3988	1528
0	8510	1448

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite273.0ms (3.3%)

Memory

-27.3MiB live, 424.1MiB allocated

Rules

6 070×	`lower-/.f32`
6 058×	`lower-/.f64`
4 430×	`lower-fma.f32`
4 426×	`lower-fma.f64`
2 780×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	231
0	49	193
1	239	180
2	2312	180
0	8968	180

Stop Event

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

Counts

18 → 1 014

Calls

Call 1

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

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

eval193.0ms (2.3%)

Memory: 14.2MiB live, 318.3MiB allocated
Compiler: Compiled 39 670 to 3 248 computations (91.8% saved)

prune200.0ms (2.4%)

Memory

18.9MiB live, 386.6MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 636	3	1 639
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	1 638	12	1 650

Accuracy

100.0%

Counts

1 650 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
✓	99.3%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
	99.3%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	29.8%	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* x x) -1) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
✓	92.1%	(.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
✓	55.2%	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(approx (+ 1 x) #s(literal 1 binary64)))
	2.8%	(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) #s(approx (+ (* x -2) 2) (*.f64 x #s(literal -2 binary64)))) #s(approx (+ 1 x) #s(literal 1 binary64)))
✓	55.3%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 2 binary64)))
✓	55.2%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓	44.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	44.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	55.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 328 to 124 computations (62.2% saved)

regimes14.0ms (0.2%)

Memory

-23.7MiB live, 16.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`x`
98.1%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes6.0ms (0.1%)

Memory

-27.3MiB live, 11.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
55.7%	1	`x`
55.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.5%	1	`x`
55.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -34.2b remaining (-120.1%)

Threshold costs -34.2b (-120.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
55.4%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	136
1	57	136
2	66	136
3	80	136
4	89	136
5	93	136
6	95	136

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Outputs
(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (+ x (+ -1 (- -1 x))) #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) (+ x -1)) #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(.f64 #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (/ (+ x (+ -1 (- -1 x))) ( (+ 1 x) (+ (* x x) -1))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness1.2s (14%)

Memory

-27.4MiB live, 619.4MiB allocated

Rules

17 548×	`lower-fma.f64`
17 548×	`lower-fma.f32`
12 930×	`lower-fma.f64`
12 930×	`lower-fma.f32`
10 646×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1535
1	377	1485
2	1096	1373
3	3794	1330
0	8150	1260
0	145	1597
1	422	1561
2	1226	1466
3	3842	1422
0	8245	1367
0	80	405
1	220	395
2	557	373
3	1746	352
4	5225	352
0	8136	343
0	7	24
0	12	24
1	66	24
2	644	24
0	9039	22

Stop Event

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

Compiler

Compiled 157 to 86 computations (45.2% saved)

preprocess41.0ms (0.5%)

Memory: 9.5MiB live, 85.8MiB allocated
Compiler: Compiled 236 to 124 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29

start0.0ms (0%)

analyze2.0ms (0%)

sample923.0ms (11.2%)

explain419.0ms (5.1%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize83.0ms (1%)

series3.0ms (0%)

simplify265.0ms (3.2%)

rewrite361.0ms (4.4%)

eval263.0ms (3.2%)

prune438.0ms (5.3%)

simplify324.0ms (3.9%)

localize214.0ms (2.6%)

series11.0ms (0.1%)

simplify317.0ms (3.8%)

rewrite345.0ms (4.2%)

eval204.0ms (2.5%)

prune108.0ms (1.3%)

simplify203.0ms (2.5%)

localize138.0ms (1.7%)

series12.0ms (0.1%)

simplify250.0ms (3%)

rewrite310.0ms (3.8%)

eval277.0ms (3.4%)

prune258.0ms (3.1%)

simplify187.0ms (2.3%)

localize124.0ms (1.5%)

series11.0ms (0.1%)

simplify237.0ms (2.9%)

rewrite273.0ms (3.3%)

eval193.0ms (2.3%)

prune200.0ms (2.4%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (14%)

preprocess41.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	27
1	21	25
2	52	22
3	106	22
4	190	22
5	258	22
6	273	22
7	275	22
0	7	11
0	12	11
1	20	11
2	27	11
3	40	11
4	61	11
5	86	11
6	131	11
7	174	11
8	243	11
9	280	11
10	300	11
11	300	11
0	300	11

Iter	Nodes	Cost
0	7	29
0	12	29
1	20	29
2	27	29
3	40	29
4	61	29
5	86	29
6	131	29
7	174	29
8	243	29
9	280	29
10	300	29
11	300	29
0	300	29