Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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)

sample1.0s (16.8%)

Memory

6.8MiB live, 1 343.8MiB allocated

Samples

483.0ms	3 852×	1	valid
238.0ms	4 404×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 537.0ms

ival-div: 225.0ms (41.9% of total)

ival-sub: 120.0ms (22.3% of total)

adjust: 106.0ms (19.7% of total)

ival-add: 72.0ms (13.4% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

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

Bogosity

explain113.0ms (1.9%)

Memory

14.7MiB live, 171.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
66	1	(-8.412177260399398e+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	67	0

Confusion

	Predicted +	Predicted -
+	66	0
-	1	189

Precision

0.9850746268656716

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	1	0	189

Precision?

0.9850746268656716

Recall?

1.0

Freqs

test

number	freq
0	189
1	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	224×	1	valid
15.0ms	288×	0	valid

Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 10.0ms (39.2% of total)

ival-sub: 7.0ms (27.4% of total)

adjust: 5.0ms (19.6% of total)

ival-add: 4.0ms (15.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess58.0ms (1%)

Memory

-6.2MiB live, 31.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(-.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)

simplify12.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB 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))

localize44.0ms (0.7%)

Memory

-53.5MiB live, 58.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	14.268057640426726	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

13.0ms	112×	1	valid
10.0ms	144×	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 (38.9% of total)

ival-sub: 3.0ms (23.3% of total)

adjust: 2.0ms (15.6% of total)

ival-add: 2.0ms (15.6% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

5 → 60

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

Calls

15 calls:

Time	Variable		Point	Expression
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)

simplify216.0ms (3.6%)

Memory

7.6MiB live, 318.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 500×	`lower-fma.f64`
9 500×	`lower-fma.f32`
3 716×	`lower-*.f64`
3 716×	`lower-*.f32`
1 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	435
1	228	425
2	582	404
3	1801	384
4	5083	380
0	8104	371

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

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))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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

rewrite728.0ms (12.1%)

Memory

3.3MiB live, 399.3MiB 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	27
0	12	27
1	66	27
2	644	27
0	9039	25

Stop Event

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

Counts

5 → 861

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

eval121.0ms (2%)

Memory: 5.1MiB live, 277.2MiB allocated
Compiler: Compiled 26 333 to 2 548 computations (90.3% saved)

prune144.0ms (2.4%)

Memory

-4.2MiB live, 356.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	912	5	917
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	913	5	918

Accuracy

99.1%

Counts

918 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.3%	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	53.0%	#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)))
▶	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶	47.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	53.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 88 to 46 computations (47.7% saved)

simplify494.0ms (8.2%)

Memory

-164.3MiB live, 349.0MiB 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 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)))

Rules

15 824×	`lower-fma.f32`
15 816×	`lower-fma.f64`
3 438×	`lower-*.f32`
3 434×	`lower-*.f64`
2 324×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	154
0	39	156
1	74	156
2	159	138
3	346	138
4	550	118
5	1456	118
6	4924	118
7	7232	118
0	8259	115

Stop Event

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

Calls

Call 1

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

localize108.0ms (1.8%)

Memory

-18.0MiB live, 197.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.01953125	(fma.f64 x (*.f64 x x) x)
accuracy	0.03515625	(.f64 x (fma.f64 x (.f64 x x) x))
accuracy	30.059747312555146	#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	0.6287802918446901	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	33.286288481249066	#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	30.027156906656238	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy	29.76918050108274	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0	(-.f64 #s(literal -1 binary64) x)
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.5467490418446901	(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	28.578125000000004	(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))

Samples

40.0ms	119×	1	valid
22.0ms	137×	0	valid

Compiler

Compiled 136 to 26 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 14.0ms (30.2% of total)

ival-mult: 10.0ms (21.6% of total)

ival-div: 9.0ms (19.4% of total)

adjust: 7.0ms (15.1% of total)

ival-sub: 5.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-24.0MiB live, 15.0MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#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 #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>) () ())

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

Calls

42 calls:

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

simplify186.0ms (3.1%)

Memory

16.7MiB live, 247.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 196×	`lower-fma.f64`
10 196×	`lower-fma.f32`
3 414×	`lower-*.f64`
3 414×	`lower-*.f32`
2 158×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1321
1	167	1285
2	438	1190
3	1438	1150
4	4349	1150
0	8300	1092

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 165

Calls

Call 1

Inputs
-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 (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))))

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

rewrite360.0ms (6%)

Memory

-3.2MiB live, 477.5MiB allocated

Rules

8 236×	`lower-fma.f32`
8 228×	`lower-fma.f64`
4 256×	`lower-/.f32`
4 252×	`lower-/.f64`
3 734×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	135
0	39	131
1	209	130
2	2013	130
0	8711	122

Stop Event

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

Counts

14 → 662

Calls

Call 1

Inputs
(+.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))
#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)

Outputs
(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) x)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 x (-.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 (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.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) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.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) x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 x (*.f64 x x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 x (fma.f64 x (.f64 x x) x)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (fma.f64 x (.f64 x x) x)) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 x (.f64 x x) x) (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(fma.f64 x x (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) x (*.f64 x x))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (*.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))
(/.f64 (.f64 x (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x))) (-.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x) (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)) x) (-.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)))) (neg.f64 (-.f64 (.f64 x (*.f64 x x)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) x)) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)) x)) (neg.f64 (-.f64 (.f64 x (*.f64 x x)) x)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 x (fma.f64 x (.f64 x x) x))
(.f64 (fma.f64 x (.f64 x x) x) x)
(+.f64 x (.f64 x (.f64 x x)))
(+.f64 (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 x (.f64 x (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x x)))
(fma.f64 x (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) x x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) x) (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x x)) x) (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)) (-.f64 (.f64 x (.f64 x x)) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x))) (neg.f64 (-.f64 (.f64 x (.f64 x x)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)))) (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 x (.f64 x (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x x)) x)) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 x x)) x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) x) (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(.f64 (.f64 (fma.f64 x (.f64 x x) x) (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (*.f64 x x)) x)))

eval103.0ms (1.7%)

Memory: 18.8MiB live, 176.2MiB allocated
Compiler: Compiled 21 914 to 2 133 computations (90.3% saved)

prune100.0ms (1.7%)

Memory

-29.0MiB live, 172.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	869	2	871
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	871	5	876

Accuracy

100.0%

Counts

876 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
▶	47.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	47.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify376.0ms (6.2%)

Memory

22.3MiB live, 411.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
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 -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)

Rules

28 202×	`lower-fma.f32`
28 200×	`lower-fma.f64`
3 830×	`lower-*.f64`
3 830×	`lower-*.f32`
2 816×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	57
0	23	57
1	41	57
2	87	45
3	181	45
4	268	45
5	516	45
6	1253	45
7	2398	45
8	3612	45
9	4559	45
10	5094	45
11	5643	45
12	5928	45
13	6401	45
14	7189	45
0	8165	45

Stop Event

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

Calls

Call 1

Inputs
#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 #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)

Outputs
#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 #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)

localize59.0ms (1%)

Memory

7.4MiB live, 90.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
accuracy	0.5467490418446901	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.15625	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	33.286288481249066	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))

Samples

32.0ms	119×	1	valid
14.0ms	137×	0	valid

Compiler

Compiled 51 to 19 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 10.0ms (30.9% of total)

adjust: 8.0ms (24.8% of total)

ival-add: 7.0ms (21.7% of total)

ival-sub: 5.0ms (15.5% of total)

ival-mult: 2.0ms (6.2% 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

4.3MiB live, 4.3MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#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 #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>) () ())

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

Calls

18 calls:

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

simplify215.0ms (3.6%)

Memory

-7.6MiB live, 182.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 048×	`lower-fma.f64`
9 048×	`lower-fma.f32`
3 106×	`lower-*.f64`
3 106×	`lower-*.f32`
1 536×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	476
1	76	476
2	229	448
3	664	432
4	2311	432
5	5576	432
0	8119	413

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ -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 (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))))

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

rewrite107.0ms (1.8%)

Memory

-11.8MiB live, 150.5MiB allocated

Rules

744×	`lower-/.f32`
738×	`lower-/.f64`
604×	`lower-*.f64`
604×	`lower-*.f32`
600×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	23	52
1	149	52
0	1561	52

Stop Event

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

Counts

6 → 98

Calls

Call 1

Inputs
(/.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 #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))

Outputs
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(pow.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(neg.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))))
(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (neg.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (.f64 x x) (.f64 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 (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) x))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (.f64 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 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 x x) (.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)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (.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)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.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 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 x (.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)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (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 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (fma.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 #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))

eval16.0ms (0.3%)

Memory: 32.5MiB live, 32.5MiB allocated
Compiler: Compiled 1 964 to 268 computations (86.4% saved)

prune25.0ms (0.4%)

Memory

-21.1MiB live, 50.2MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	63.5%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x))))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓	47.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	47.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 52 to 30 computations (42.3% saved)

simplify175.0ms (2.9%)

Memory

17.6MiB live, 179.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))
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)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x))))
cost-diff	1984	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))

Rules

7 460×	`lower-fma.f64`
7 460×	`lower-fma.f32`
2 778×	`lower-*.f32`
2 772×	`lower-*.f64`
1 392×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
0	22	78
1	50	70
2	113	52
3	244	52
4	450	52
5	895	40
6	2897	40
7	4457	40
8	6800	40
0	8115	38

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1.1%)

Memory

-21.6MiB live, 96.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 x (.f64 x x))
accuracy	0.0703125	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.5467490418446901	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x))))
accuracy	20.305756574546027	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1 binary64) (.f64 x x)))

Samples

32.0ms	110×	1	valid
16.0ms	146×	0	valid

Compiler

Compiled 80 to 16 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 17.0ms (44% of total)

ival-add: 7.0ms (18.1% of total)

ival-mult: 6.0ms (15.5% of total)

ival-div: 5.0ms (12.9% of total)

adjust: 3.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify196.0ms (3.2%)

Memory

-8.3MiB live, 272.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 272×	`lower-fma.f64`
9 272×	`lower-fma.f32`
3 290×	`lower-*.f64`
3 290×	`lower-*.f32`
1 528×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	357
1	89	348
2	250	334
3	700	326
4	2390	326
5	5641	326
0	8197	312

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite229.0ms (3.8%)

Memory

41.6MiB live, 346.4MiB allocated

Rules

4 968×	`lower-/.f32`
4 964×	`lower-/.f64`
4 602×	`lower-fma.f64`
4 602×	`lower-fma.f32`
4 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
0	22	60
1	118	40
2	1062	40
0	8405	38

Stop Event

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

Counts

6 → 284

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

eval44.0ms (0.7%)

Memory: -10.3MiB live, 103.9MiB allocated
Compiler: Compiled 11 737 to 970 computations (91.7% saved)

prune48.0ms (0.8%)

Memory

12.5MiB live, 122.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	356	6	362

Accuracy

100.0%

Counts

362 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(/.f64 (.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	99.1%	(/.f64 #s(approx (+ (- -1 x) (+ x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
✓	47.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	47.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 152 to 62 computations (59.2% saved)

regimes7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	(-.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
99.1%	1	`x`
99.1%	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)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #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))) (/.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:

2.0ms	x
1.0ms	(-.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
99.0%	2	`x`
99.0%	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)

regimes30.0ms (0.5%)

Memory

-46.8MiB live, 15.8MiB allocated

Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #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)))

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

Calls

2 calls:

17.0ms	x
1.0ms	(-.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
53.5%	1	`x`
53.5%	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)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	76
1	37	76
2	46	76
3	62	76
4	71	76
5	75	76
6	77	76

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.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))))

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

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

soundness581.0ms (9.6%)

Memory

-1.7MiB live, 387.6MiB allocated

Rules

10 498×	`lower-fma.f64`
10 498×	`lower-fma.f32`
10 196×	`lower-fma.f64`
10 196×	`lower-fma.f32`
9 500×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	1321
1	167	1285
2	438	1190
3	1438	1150
4	4349	1150
0	8300	1092
0	83	435
1	228	425
2	582	404
3	1801	384
4	5083	380
0	8104	371
0	7	27
0	12	27
1	66	27
2	644	27
0	9039	25

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

Compiler

Compiled 71 to 40 computations (43.7% saved)

preprocess25.0ms (0.4%)

Memory: 14.6MiB live, 53.3MiB allocated
Remove: (abs x)
Compiler: Compiled 114 to 60 computations (47.4% 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%)

sample1.0s (16.8%)

explain113.0ms (1.9%)

preprocess58.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize44.0ms (0.7%)

series4.0ms (0.1%)

simplify216.0ms (3.6%)

rewrite728.0ms (12.1%)

eval121.0ms (2%)

prune144.0ms (2.4%)

simplify494.0ms (8.2%)

localize108.0ms (1.8%)

series10.0ms (0.2%)

simplify186.0ms (3.1%)

rewrite360.0ms (6%)

eval103.0ms (1.7%)

prune100.0ms (1.7%)

simplify376.0ms (6.2%)

localize59.0ms (1%)

series3.0ms (0%)

simplify215.0ms (3.6%)

rewrite107.0ms (1.8%)

eval16.0ms (0.3%)

prune25.0ms (0.4%)

simplify175.0ms (2.9%)

localize67.0ms (1.1%)

series4.0ms (0.1%)

simplify196.0ms (3.2%)

rewrite229.0ms (3.8%)

eval44.0ms (0.7%)

prune48.0ms (0.8%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

regimes30.0ms (0.5%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness581.0ms (9.6%)

preprocess25.0ms (0.4%)

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