Metrics for 2frac (problem 3.3.1)

analyze5.0ms (0.1%)

Memory

-40.4MiB live, 1.8MiB 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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	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 11 to 8 computations (27.3% saved)

sample848.0ms (10.9%)

Memory

49.4MiB live, 1 143.7MiB allocated

Samples

378.0ms	3 831×	1	valid
205.0ms	4 425×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-div: 173.0ms (46.7% of total)

ival-add: 72.0ms (19.4% of total)

ival-sub: 56.0ms (15.1% of total)

adjust: 53.0ms (14.3% of total)

exact: 7.0ms (1.9% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess29.0ms (0.4%)

Memory

2.8MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain142.0ms (1.8%)

Memory

-0.4MiB live, 123.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	67	0

Confusion

	Predicted +	Predicted -
+	67	0
-	0	189

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	0	0	189

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	189
1	67

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms	256×	1	valid
12.0ms	256×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 69.0ms (85.5% of total)

ival-add: 4.0ms (5% of total)

adjust: 3.0ms (3.7% of total)

ival-sub: 3.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify14.0ms (0.2%)

Memory

-20.6MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

128×	`lower-fma.f64`
128×	`lower-fma.f32`
80×	`lower-*.f64`
80×	`lower-*.f32`
56×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

3.6MiB live, 41.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	77.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

12.0ms	128×	1	valid
6.0ms	128×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 5.0ms (43.5% of total)

adjust: 2.0ms (17.4% of total)

ival-add: 2.0ms (17.4% of total)

ival-sub: 2.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

12 calls:

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

simplify292.0ms (3.7%)

Memory

15.8MiB live, 379.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
2 500×	`lower-*.f64`
2 500×	`lower-*.f32`
1 944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	260

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite213.0ms (2.7%)

Memory

-10.6MiB live, 222.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 900×	`lower-fma.f64`
2 900×	`lower-fma.f32`
1 990×	`lower-*.f64`
1 990×	`lower-*.f32`
1 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18

Stop Event

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

Counts

4 → 325

Calls

Call 1

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

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

eval42.0ms (0.5%)

Memory: 24.3MiB live, 98.5MiB allocated
Compiler: Compiled 8 617 to 913 computations (89.4% saved)

prune54.0ms (0.7%)

Memory

-65.4MiB live, 99.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	361	10	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	11	372

Accuracy

99.4%

Counts

372 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
	29.5%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
✓	77.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	47.9%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	47.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	44.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
▶	52.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x)))
▶	52.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
	44.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))))
▶	47.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 230 to 130 computations (43.5% saved)

simplify649.0ms (8.3%)

Memory

14.4MiB live, 882.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	128	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓	cost-diff	576	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
✓	cost-diff	1216	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))

Rules

35 188×	`lower-fma.f32`
35 184×	`lower-fma.f64`
4 346×	`lower-*.f32`
4 342×	`lower-*.f64`
2 302×	`lower--.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	44	203
1	78	193
2	141	141
3	336	141
4	747	141
5	2634	126
6	6988	126
0	8288	126

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.8%)

Memory

21.0MiB live, 173.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
✓	accuracy	74.7%	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓	accuracy	74.7%	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
✓	accuracy	52.2%	(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))

Samples

84.0ms	128×	1	valid
21.0ms	128×	0	valid

Compiler

Compiled 169 to 25 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 36.0ms (41.6% of total)

ival-div: 18.0ms (20.8% of total)

ival-add: 11.0ms (12.7% of total)

ival-neg: 10.0ms (11.6% of total)

adjust: 9.0ms (10.4% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x x x))>
#<alt (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))>

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* x (- x 1))) x)>
#<alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 2))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt (/ (+ 1 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (/ 1 (pow x 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1 (pow x 4))>
#<alt (/ (- x 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))>
#<alt (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (- (* -1 (/ (- (/ 1 x) 1) x)) 1)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ (- x 1) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>

Calls

42 calls:

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

simplify265.0ms (3.4%)

Memory

-7.5MiB live, 480.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 796×	`lower-fma.f64`
11 796×	`lower-fma.f32`
2 248×	`lower-*.f64`
2 248×	`lower-*.f32`
1 810×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1026
1	205	954
2	569	900
3	1853	872
4	5410	847
0	8057	832

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite626.0ms (8%)

Memory

-14.1MiB live, 375.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 742×	`lower-/.f32`
4 728×	`lower-/.f64`
4 580×	`lower-*.f32`
4 576×	`lower-*.f64`
4 488×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	36	98
1	171	91
2	1553	91
0	8309	89

Stop Event

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

Counts

14 → 667

Calls

Call 1

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

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

eval81.0ms (1%)

Memory: 12.4MiB live, 89.8MiB allocated
Compiler: Compiled 10 484 to 1 111 computations (89.4% saved)

prune104.0ms (1.3%)

Memory

9.2MiB live, 118.0MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	363	6	369
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	367	13	380

Accuracy

99.5%

Counts

380 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x)))))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))
	28.2%	(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x) (.f64 (fma.f64 x x x) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x)))
	19.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (/.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (/.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (/.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (/.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x)))))))
▶	77.4%	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
▶	77.4%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
✓	77.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	47.9%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶	47.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	44.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
✓	52.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	47.4%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
▶	14.0%	#s(approx (+ (* x (/ 1 (+ (* x x) x))) (neg (/ (+ 1 x) (+ (* x x) x)))) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x)))))

Compiler

Compiled 734 to 188 computations (74.4% saved)

simplify532.0ms (6.8%)

Memory

-36.2MiB live, 670.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x))))
✓	cost-diff	640	(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x))))))
✓	cost-diff	1600	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x)))))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	256	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
✓	cost-diff	384	(-.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	64	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	384	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
✓	cost-diff	512	(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))

Rules

17 692×	`lower-fma.f32`
17 682×	`lower-fma.f64`
4 430×	`lower-*.f32`
4 420×	`lower-*.f64`
1 596×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	304
0	71	282
1	148	214
2	367	200
3	1244	188
4	5621	188
0	8198	187

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.1%)

Memory

36.6MiB live, 310.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.9%	(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
✓	accuracy	85.6%	(fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x))))
✓	accuracy	74.7%	(/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))
✓	accuracy	20.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 x (-.f64 x (.f64 x x)))))) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))
✓	accuracy	100.0%	(-.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	60.9%	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.5%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
✓	accuracy	51.2%	(-.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	77.1%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
✓	accuracy	99.5%	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
✓	accuracy	51.2%	(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))

Samples

74.0ms	129×	1	valid
32.0ms	127×	0	valid

Compiler

Compiled 324 to 40 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 26.0ms (31.6% of total)

ival-mult: 17.0ms (20.7% of total)

ival-add: 13.0ms (15.8% of total)

adjust: 11.0ms (13.4% of total)

ival-sub: 10.0ms (12.2% of total)

ival-neg: 4.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-30.7MiB live, 19.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (/ -1 (pow x 4))>
#<alt (/ (- x 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1 x)))>
#<alt (* (pow x 3) (+ 1 (* x (- x 1))))>
#<alt (* (pow x 3) (+ 1 (* x (- x 1))))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (- 1 (/ 1 x)))>
#<alt (* (pow x 5) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 5) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (/ 1 x) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (pow x 3)))>
#<alt (* (pow x 3) (+ 1 (pow x 3)))>
#<alt (* (pow x 3) (+ 1 (pow x 3)))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 6) (+ 1 (/ 1 (pow x 3))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- x 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- x 1))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>

Calls

63 calls:

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

simplify509.0ms (6.5%)

Memory

26.7MiB live, 697.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 732×	`lower-fma.f64`
18 732×	`lower-fma.f32`
3 452×	`lower-*.f64`
3 452×	`lower-*.f32`
1 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1455
1	260	1373
2	703	1307
3	2571	1267
4	6881	1267
0	8259	1205

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 249

Calls

Call 1

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

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

rewrite211.0ms (2.7%)

Memory

-9.2MiB live, 380.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 522×	`lower-fma.f32`
2 512×	`lower-fma.f64`
1 526×	`lower-/.f32`
1 510×	`lower-/.f64`
1 462×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	61	154
1	318	111
0	3246	109

Stop Event

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

Counts

21 → 846

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(+.f64 (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(-.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (-.f64 (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x))
(-.f64 (fma.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (neg.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x))) (*.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 x (.f64 (.f64 x (-.f64 (fma.f64 x (.f64 x x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x x) x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 x (-.f64 #s(literal -1 binary64) x))) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (*.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)) (.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x)))
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eval371.0ms (4.8%)

Memory: -163.6MiB live, 211.3MiB allocated
Compiler: Compiled 35 927 to 1 503 computations (95.8% saved)

prune78.0ms (1%)

Memory

-11.3MiB live, 191.5MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 120	6	1 126
Fresh	4	0	4
Picked	4	1	5
Done	2	2	4
Total	1 130	9	1 139

Accuracy

100.0%

Counts

1 139 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
▶	92.3%	(/.f64 (.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) (+.f64 x (+.f64 x #s(literal 1 binary64)))))
▶	99.5%	(/.f64 #s(approx (- (neg x) (- -1 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
▶	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	47.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	37.9%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 x (.f64 x x)) x))) (-.f64 (*.f64 x x) x))
▶	44.4%	#s(approx (/ (- (neg x) (- -1 x)) (* (- -1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
✓	52.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 156 to 91 computations (41.7% saved)

simplify411.0ms (5.3%)

Memory

8.4MiB live, 606.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	320	(*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
✓	cost-diff	1088	(/.f64 (.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) (+.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
✓	cost-diff	128	(/.f64 #s(approx (- (neg x) (- -1 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
✓	cost-diff	512	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Rules

14 620×	`lower-fma.f32`
14 618×	`lower-fma.f64`
2 986×	`lower-*.f32`
2 976×	`lower-*.f64`
1 996×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	152
0	47	115
1	101	114
2	284	108
3	758	108
4	3249	108
0	8177	105

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.5%)

Memory

-12.2MiB live, 179.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (fma.f64 x x x) (+.f64 x (+.f64 x #s(literal 1 binary64))))
✓	accuracy	92.3%	(/.f64 (.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x x x) (+.f64 x (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	92.6%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal -1 binary64) x) x)
✓	accuracy	99.5%	(/.f64 #s(approx (- (neg x) (- -1 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)

Samples

42.0ms	124×	1	valid
36.0ms	132×	0	valid

Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.4% of total)

ival-div: 14.0ms (24.6% of total)

ival-sub: 8.0ms (14% of total)

ival-add: 5.0ms (8.8% of total)

adjust: 5.0ms (8.8% of total)

ival-neg: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 1)>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ (+ 1 (* -1 x)) (pow x 3))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- (* x (+ 1 (* -1 x))) 1) x)>
#<alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* -2 x) 1)>
#<alt (- (* -2 x) 1)>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt (* -1 (* x (+ 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* 3 x)))>
#<alt (* x (+ 1 (* x (+ 3 (* 2 x)))))>
#<alt (* x (+ 1 (* x (+ 3 (* 2 x)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 3 (/ 1 x)) x)) 2)))>

Calls

48 calls:

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

simplify285.0ms (3.7%)

Memory

20.4MiB live, 386.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 998×	`lower-fma.f64`
12 998×	`lower-fma.f32`
3 710×	`lower-*.f64`
3 710×	`lower-*.f32`
1 584×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1233
1	277	1179
2	726	1091
3	2566	1089
4	6865	1089
0	8311	1041

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 188

Calls

Call 1

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

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

rewrite126.0ms (1.6%)

Memory

-10.6MiB live, 144.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

918×	`lower-/.f32`
906×	`lower-/.f64`
874×	`lower-fma.f32`
872×	`lower-fma.f64`
788×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	109
0	44	86
1	201	80
0	1922	78

Stop Event

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

Counts

16 → 637

Calls

Call 1

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

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

eval123.0ms (1.6%)

Memory: 14.3MiB live, 164.5MiB allocated
Compiler: Compiled 15 801 to 1 194 computations (92.4% saved)

prune76.0ms (1%)

Memory

1.7MiB live, 159.4MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	848	3	851
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	850	10	860

Accuracy

100.0%

Counts

860 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
	92.3%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x x x) (+.f64 x (+.f64 x #s(literal 1 binary64)))))
	53.0%	(/.f64 #s(approx (/ 1 (- -1 x)) (/.f64 #s(literal -1 binary64) x)) x)
✓	99.5%	(/.f64 #s(approx (- (neg x) (- -1 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
✓	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	47.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	92.3%	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x x)) (*.f64 (fma.f64 x x x) (+.f64 #s(literal 1 binary64) (+.f64 x x)))))
✓	44.4%	#s(approx (/ (- (neg x) (- -1 x)) (* (- -1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x))))
✓	52.5%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	48.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 624 to 147 computations (76.4% saved)

regimes17.0ms (0.2%)

Memory

-7.7MiB live, 30.9MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
7.0ms	x

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.2%	3	`x`
97.2%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes25.0ms (0.3%)

Memory

-41.8MiB live, 5.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

23.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Accuracy

Total -1.0b remaining (-3.2%)

Threshold costs -1b (-3.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.790880445513528
0.0ms	-3.8373580529892677	-0.0029336115106256833

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.790880445513528
0.0ms	-3.8373580529892677	-0.0029336115106256833

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify8.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	158
1	46	158
2	58	158
3	64	158
4	70	158

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (14.2%)

Memory

23.6MiB live, 679.0MiB allocated

Rules

18 732×	`lower-fma.f64`
18 732×	`lower-fma.f32`
11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
4 742×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1455
1	260	1373
2	703	1307
3	2571	1267
4	6881	1267
0	8259	1205
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18
0	53	305
1	150	286
2	351	274
3	1017	268
4	3170	263
5	5268	262
6	6646	262
7	7448	262
8	7950	262
0	8009	260
0	32	199
0	61	154
1	318	111
0	3246	109
0	19	100
0	36	98
1	171	91
2	1553	91
0	8309	89

Stop Event

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

Compiler

Compiled 161 to 62 computations (61.5% saved)

preprocess52.0ms (0.7%)

Memory: 22.9MiB live, 143.5MiB allocated
Compiler: Compiled 250 to 86 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22

analyze5.0ms (0.1%)

sample848.0ms (10.9%)

preprocess29.0ms (0.4%)

explain142.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize29.0ms (0.4%)

series2.0ms (0%)

simplify292.0ms (3.7%)

rewrite213.0ms (2.7%)

eval42.0ms (0.5%)

prune54.0ms (0.7%)

simplify649.0ms (8.3%)

localize143.0ms (1.8%)

series8.0ms (0.1%)

simplify265.0ms (3.4%)

rewrite626.0ms (8%)

eval81.0ms (1%)

prune104.0ms (1.3%)

simplify532.0ms (6.8%)

localize164.0ms (2.1%)

series14.0ms (0.2%)

simplify509.0ms (6.5%)

rewrite211.0ms (2.7%)

eval371.0ms (4.8%)

prune78.0ms (1%)

simplify411.0ms (5.3%)

localize115.0ms (1.5%)

series5.0ms (0.1%)

simplify285.0ms (3.7%)

rewrite126.0ms (1.6%)

eval123.0ms (1.6%)

prune76.0ms (1%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes25.0ms (0.3%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (14.2%)

preprocess52.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	23
1	20	19
2	53	18
3	108	18
4	169	18
5	212	18
6	226	18
0	6	9
0	10	9
1	15	9
2	23	9
3	32	9
4	44	9
5	64	9
6	105	9
7	147	9
8	213	9
9	247	9
10	256	9
0	256	9

Iter	Nodes	Cost
0	6	22
0	10	22
1	15	22
2	23	22
3	32	22
4	44	22
5	64	22
6	105	22
7	147	22
8	213	22
9	247	22
10	256	22
0	256	22