Metrics for Asymptote C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.2%)

Memory

-43.7MiB live, 6.9MiB 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 15 to 9 computations (40% saved)

sample1.1s (23.9%)

Memory

45.2MiB live, 1 329.4MiB allocated

Samples

295.0ms	2 411×	1	valid
261.0ms	1 568×	2	valid
206.0ms	4 277×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 552.0ms

ival-div: 214.0ms (38.7% of total)

adjust: 122.0ms (22.1% of total)

ival-sub: 117.0ms (21.2% of total)

ival-add: 87.0ms (15.8% of total)

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

exact: 5.0ms (0.9% of total)

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

Bogosity

explain113.0ms (2.4%)

Memory

12.9MiB live, 210.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	136	0

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	0	0	120

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms	96×	2	valid
20.0ms	172×	1	valid
13.0ms	244×	0	valid

Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 12.0ms (33.7% of total)

adjust: 9.0ms (25.3% of total)

ival-sub: 8.0ms (22.5% of total)

ival-add: 5.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

preprocess58.0ms (1.2%)

Memory

17.3MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	23	31
2	62	27
3	178	26
4	414	26
5	853	26
6	1181	26
7	1340	26
8	1418	26
9	1428	26
0	7	13
0	12	13
1	20	13
2	28	13
3	44	13
4	77	13
5	115	13
6	203	13
7	371	13
8	876	13
9	1137	13
10	1221	13
11	1231	13
0	1231	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify38.0ms (0.8%)

Memory

-23.6MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	20	33
2	28	33
3	44	33
4	77	33
5	115	33
6	203	33
7	371	33
8	876	33
9	1137	33
10	1221	33
11	1231	33
0	1231	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.8%)

Memory

14.1MiB live, 83.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	31.715717330364797	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

13.0ms	48×	2	valid
10.0ms	122×	0	valid
10.0ms	86×	1	valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 10.0ms (49.1% of total)

ival-sub: 4.0ms (19.6% of total)

adjust: 3.0ms (14.7% of total)

ival-add: 3.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)))

1.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)))

0.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)))

simplify124.0ms (2.6%)

Memory

-6.6MiB live, 134.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

rewrite154.0ms (3.3%)

Memory

-10.3MiB live, 181.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28

Stop Event

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

Counts

4 → 350

Calls

Call 1

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

Outputs
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eval55.0ms (1.2%)

Memory: 6.8MiB live, 91.3MiB allocated
Compiler: Compiled 11 977 to 1 318 computations (89% saved)

prune16.0ms (0.3%)

Memory

8.8MiB live, 43.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	434	10	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	11	445

Accuracy

100.0%

Counts

445 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
	48.7%	(/.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	50.4%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
	47.4%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
▶	53.3%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
	54.1%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
▶	54.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
	47.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
	53.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
▶	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 225 to 159 computations (29.3% saved)

simplify140.0ms (3%)

Memory

-28.1MiB live, 131.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	768	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff	0	(+.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	44	165
1	75	161
2	145	161
3	314	161
4	915	147
5	3015	147
6	6310	135
0	8485	128

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (3%)

Memory

18.0MiB live, 156.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0234375	(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
accuracy	14.487046246304352	(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	32.459468556224124	(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	0.05859375	(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy	29.904631094182278	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal 3 binary64))
accuracy	33.29327681633335	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
accuracy	33.28147899636812	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -3 binary64) x)
accuracy	29.339374838432747	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

Samples

28.0ms	82×	1	valid
28.0ms	53×	2	valid
20.0ms	121×	0	valid

Compiler

Compiled 268 to 50 computations (81.3% saved)

Precisions

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

ival-div: 13.0ms (24.8% of total)

ival-add: 12.0ms (22.9% of total)

adjust: 11.0ms (21% of total)

ival-mult: 11.0ms (21% of total)

ival-sub: 5.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

-21.9MiB live, 16.8MiB allocated

Counts

15 → 180

Calls

Call 1

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

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

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))
2.0ms	x	@	inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))
2.0ms	x	@	-inf	((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))

Time

Variable

Point

Expression

4.0ms

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))

2.0ms

inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))

2.0ms

-inf

((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ x 3) x) 1) (+ x 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -1 x) -1) (* (+ 1 x) (+ (* -1 x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ 1 x))

simplify175.0ms (3.7%)

Memory

-2.3MiB live, 118.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1089
1	230	995
2	581	950
3	1604	950
4	3870	950
5	7841	950
0	8489	897

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

Calls

Call 1

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

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

rewrite142.0ms (3%)

Memory

10.7MiB live, 120.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	44	146
1	225	137
2	2227	132
0	9431	132

Stop Event

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

Counts

15 → 686

Calls

Call 1

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

Outputs
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eval179.0ms (3.8%)

Memory: -7.2MiB live, 149.2MiB allocated
Compiler: Compiled 18 751 to 2 699 computations (85.6% saved)

prune41.0ms (0.9%)

Memory

-6.5MiB live, 44.5MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	858	4	862
Fresh	5	0	5
Picked	2	3	5
Done	1	0	1
Total	866	7	873

Accuracy

100.0%

Counts

873 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	47.4%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
▶	47.5%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	54.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	53.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify143.0ms (3%)

Memory

28.9MiB live, 103.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	168
0	41	160
1	79	156
2	177	156
3	408	156
4	1167	120
5	3463	120
6	5853	116
0	8185	116

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (2.5%)

Memory

-31.6MiB live, 90.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy	0	#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	14.487046246304352	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	33.63390553821217	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0	(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
accuracy	0.06869125976844201	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
accuracy	33.60523301431668	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.31640625	(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy	29.339374838432747	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))

Samples

48.0ms	82×	1	valid
30.0ms	53×	2	valid
19.0ms	121×	0	valid

Compiler

Compiled 234 to 46 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-add: 29.0ms (38.5% of total)

adjust: 17.0ms (22.5% of total)

ival-mult: 14.0ms (18.6% of total)

ival-div: 10.0ms (13.3% of total)

ival-sub: 3.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

3 calls:

Time

Variable

Point

Expression

2.0ms

((* (/ -1 x) 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1))

1.0ms

inf

((* (/ -1 x) 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1))

1.0ms

-inf

((* (/ -1 x) 3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (* (+ (* x x) 1) (+ (* x 3) 1)) (+ (* x x) 1) (+ (* x 3) 1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1))

simplify142.0ms (3%)

Memory

12.2MiB live, 88.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	874
1	213	858
2	611	820
3	2329	812
4	7370	812
0	8293	737

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite200.0ms (4.3%)

Memory

20.1MiB live, 135.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
0	41	144
1	215	126
2	2266	124
0	9562	122

Stop Event

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

Counts

12 → 498

Calls

Call 1

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

Outputs
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eval110.0ms (2.3%)

Memory: -25.0MiB live, 170.6MiB allocated
Compiler: Compiled 12 611 to 1 734 computations (86.3% saved)

prune18.0ms (0.4%)

Memory

-0.2MiB live, 47.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	688	1	689
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	688	8	696

Accuracy

100.0%

Counts

696 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	30.6%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	47.4%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
✓	47.5%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	54.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	53.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 54 to 46 computations (14.8% saved)

simplify188.0ms (4%)

Memory

33.1MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* x x) -1) (*.f64 x x))
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff	0	#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	22	67
1	44	65
2	95	65
3	228	65
4	774	47
5	2341	47
6	4217	47
7	5738	47
8	6822	47
9	7186	47
10	7315	47
11	7329	47
12	7436	47
13	7676	47
14	7724	47
0	8032	45

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.5%)

Memory

-4.2MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	14.487046246304352	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
accuracy	29.342218305146485	#s(approx (+ (* x x) -1) (*.f64 x x))

Samples

46.0ms	118×	1	valid
11.0ms	121×	0	valid
4.0ms	17×	2	valid

Compiler

Compiled 83 to 26 computations (68.7% saved)

Precisions

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

adjust: 22.0ms (42.5% of total)

ival-mult: 12.0ms (23.2% of total)

ival-add: 8.0ms (15.5% of total)

ival-sub: 7.0ms (13.5% of total)

ival-div: 3.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-31.5MiB live, 7.5MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

1.0ms

-inf

((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

1.0ms

((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (* x x))

simplify120.0ms (2.6%)

Memory

3.3MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	300
1	138	296
2	347	288
3	869	288
4	1966	288
5	4373	288
6	7285	288
0	8118	257

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite121.0ms (2.6%)

Memory

9.2MiB live, 166.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	22	64
1	117	62
2	995	58
0	10795	52

Stop Event

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

Counts

5 → 95

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval18.0ms (0.4%)

Memory: -1.3MiB live, 36.7MiB allocated
Compiler: Compiled 2 206 to 366 computations (83.4% saved)

prune8.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	155	8	163

Accuracy

100.0%

Counts

163 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.4%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓	30.6%	(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	47.4%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
✓	47.5%	#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	54.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
✓	53.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
✓	48.0%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 214 to 106 computations (50.5% saved)

regimes12.0ms (0.3%)

Memory

-18.4MiB live, 29.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

2 calls:

6.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.8b remaining (-2.5%)

Threshold costs -0.8b (-2.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch1.0ms (0%)

Memory

-38.4MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.887379141862766e-15

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00033002021331496323	0.999994980111486

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00033002021331496323	0.999994980111486

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify26.0ms (0.5%)

Memory

17.6MiB live, 55.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	182
1	51	182
2	61	182
3	80	182
4	92	182
5	97	182
6	99	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 x #s(literal 3 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness764.0ms (16.2%)

Memory

-1.4MiB live, 476.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	95	332
1	262	322
2	585	310
3	1504	292
4	3709	290
5	6648	290
0	8036	279
0	79	1089
1	230	995
2	581	950
3	1604	950
4	3870	950
5	7841	950
0	8489	897

Stop Event

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

Compiler

Compiled 136 to 66 computations (51.5% saved)

preprocess50.0ms (1.1%)

Memory: 21.5MiB live, 102.0MiB allocated
Compiler: Compiled 204 to 76 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.2%)

sample1.1s (23.9%)

explain113.0ms (2.4%)

preprocess58.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify38.0ms (0.8%)

localize40.0ms (0.8%)

series3.0ms (0.1%)

simplify124.0ms (2.6%)

rewrite154.0ms (3.3%)

eval55.0ms (1.2%)

prune16.0ms (0.3%)

simplify140.0ms (3%)

localize141.0ms (3%)

series13.0ms (0.3%)

simplify175.0ms (3.7%)

rewrite142.0ms (3%)

eval179.0ms (3.8%)

prune41.0ms (0.9%)

simplify143.0ms (3%)

localize118.0ms (2.5%)

series9.0ms (0.2%)

simplify142.0ms (3%)

rewrite200.0ms (4.3%)

eval110.0ms (2.3%)

prune18.0ms (0.4%)

simplify188.0ms (4%)

localize72.0ms (1.5%)

series5.0ms (0.1%)

simplify120.0ms (2.6%)

rewrite121.0ms (2.6%)

eval18.0ms (0.4%)

prune8.0ms (0.2%)

regimes12.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.5%)

soundness764.0ms (16.2%)

preprocess50.0ms (1.1%)

end0.0ms (0%)

Profiling