Metrics for 2frac (problem 3.3.1)

analyze2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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)

sample924.0ms (10.6%)

Memory

25.6MiB live, 1 222.1MiB allocated

Samples

450.0ms	3 767×	1	valid
206.0ms	4 489×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-div: 194.0ms (45.1% of total)

ival-sub: 83.0ms (19.3% of total)

ival-add: 80.0ms (18.6% of total)

adjust: 61.0ms (14.2% of total)

ival-true: 5.0ms (1.2% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess30.0ms (0.3%)

Memory

-14.9MiB live, 23.1MiB 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))

explain235.0ms (2.7%)

Memory

-2.4MiB live, 118.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
78	-	-	`(-.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	78	0

Confusion

	Predicted +	Predicted -
+	78	0
-	0	178

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	0	0	178

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	178
1	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	252×	1	valid
13.0ms	260×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 11.0ms (47.6% of total)

adjust: 4.0ms (17.3% of total)

ival-add: 4.0ms (17.3% of total)

ival-sub: 3.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(-.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)

simplify12.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB 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)

localize51.0ms (0.6%)

Memory

-33.5MiB live, 43.3MiB 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	74.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

35.0ms	126×	1	valid
6.0ms	130×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 27.0ms (79.5% of total)

adjust: 3.0ms (8.8% of total)

ival-add: 2.0ms (5.9% of total)

ival-sub: 2.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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	@	inf	(- (/ 1 (+ x 1)) (/ 1 x))
0.0ms	x	@	inf	(+ x 1)
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite267.0ms (3.1%)

Memory

30.2MiB live, 189.2MiB 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))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #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 (+.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))))))
(fma.f64 #s(literal 1 binary64) (.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))))))
(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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x 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))))))
(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) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.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))) (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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.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))) (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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.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))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (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))))))
(fma.f64 (+.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))
(fma.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 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
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(.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)))

simplify474.0ms (5.5%)

Memory

-34.0MiB live, 365.8MiB 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)

eval52.0ms (0.6%)

Memory: 7.6MiB live, 82.4MiB allocated
Compiler: Compiled 8 617 to 913 computations (89.4% saved)

prune51.0ms (0.6%)

Memory

27.8MiB live, 145.2MiB 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
▶	75.0%	(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))))
	29.8%	(/.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))))
	45.5%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
▶	54.2%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (.f64 x x))) (.f64 x x))
▶	53.5%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
▶	48.8%	(/.f64 #s(literal -1 binary64) x)
✓	74.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	47.5%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
	47.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	45.8%	(.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))))
▶	47.1%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 294 to 134 computations (54.4% saved)

simplify670.0ms (7.7%)

Memory

-19.5MiB live, 1 127.4MiB 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	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
✓	cost-diff	128	(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
✓	cost-diff	576	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
✓	cost-diff	1088	(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

33 642×	`lower-fma.f32`
33 638×	`lower-fma.f64`
4 220×	`lower-*.f32`
4 216×	`lower-*.f64`
2 232×	`lower--.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	124
0	36	135
1	68	133
2	130	105
3	310	105
4	681	105
5	2475	102
6	6748	102
0	8068	102

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

localize79.0ms (0.9%)

Memory

-17.1MiB live, 180.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(*.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	76.3%	(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x 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 #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	76.4%	(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
✓	accuracy	51.6%	(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

33.0ms	126×	1	valid
20.0ms	130×	0	valid

Compiler

Compiled 133 to 22 computations (83.5% saved)

Precisions

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

ival-div: 14.0ms (39.2% of total)

ival-add: 8.0ms (22.4% of total)

ival-mult: 6.0ms (16.8% of total)

adjust: 5.0ms (14% of total)

ival-neg: 2.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-5.4MiB live, 33.3MiB 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 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))>
#<alt (/.f64 #s(literal 1 binary64) (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 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 (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
2.0ms	x	@	inf	(/ (+ -1 (/ (+ -1 x) (* x x))) (* x x))
2.0ms	x	@	-inf	(neg (/ (+ 1 x) (+ (* x x) x)))
1.0ms	x	@	inf	(neg (/ (+ 1 x) (+ (* x x) x)))
1.0ms	x	@	-inf	(/ (+ 1 x) (+ (* x x) x))
1.0ms	x	@	0	(/ (+ 1 x) (+ (* x x) x))

rewrite338.0ms (3.9%)

Memory

26.4MiB live, 659.5MiB 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))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (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)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (neg.f64 x)) (/.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 x #s(literal 1 binary64)) x) (/.f64 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) (neg.f64 x)) (/.f64 x (fma.f64 x x x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 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))))))))
(/.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)))))) (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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 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 (.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 (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 (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 (+.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 (+.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 (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)))

simplify354.0ms (4.1%)

Memory

6.4MiB live, 484.1MiB 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 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 (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 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 (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))

eval137.0ms (1.6%)

Memory: 2.1MiB live, 277.3MiB allocated
Compiler: Compiled 20 193 to 2 146 computations (89.4% saved)

prune92.0ms (1.1%)

Memory

-2.3MiB live, 236.6MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	900	7	907
Fresh	2	3	5
Picked	2	3	5
Done	1	0	1
Total	905	13	918

Accuracy

100.0%

Counts

918 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
▶	76.6%	(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
	17.2%	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x))))
▶	76.6%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
	45.5%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	53.5%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	48.8%	(/.f64 #s(literal -1 binary64) x)
▶	2.3%	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
▶	47.5%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
	2.6%	(-.f64 (*.f64 x x) x)
	47.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	47.1%	(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
▶	1.9%	(*.f64 x x)

Compiler

Compiled 192 to 112 computations (41.7% saved)

simplify558.0ms (6.4%)

Memory

0.5MiB live, 829.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

26 166×	`lower-fma.f32`
26 162×	`lower-fma.f64`
3 428×	`lower-*.f32`
3 424×	`lower-*.f64`
2 550×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	33	98
1	66	68
2	173	66
3	417	66
4	1271	66
5	4250	66
6	7269	66
0	8161	66

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

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

localize75.0ms (0.9%)

Memory

-5.2MiB live, 131.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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	51.9%	(-.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(*.f64 x 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	51.9%	(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))

Samples

37.0ms	117×	1	valid
18.0ms	139×	0	valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

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

ival-div: 12.0ms (29.3% of total)

ival-sub: 11.0ms (26.8% of total)

ival-add: 5.0ms (12.2% of total)

adjust: 5.0ms (12.2% of total)

ival-mult: 5.0ms (12.2% of total)

ival-neg: 3.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

15 → 180

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

Calls

45 calls:

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

rewrite296.0ms (3.4%)

Memory

-9.6MiB live, 564.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 436×	`lower-*.f32`
4 432×	`lower-*.f64`
4 030×	`lower-/.f32`
4 024×	`lower-/.f64`
3 506×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	33	78
1	178	57
2	1777	57
0	8810	57

Stop Event

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

Counts

15 → 842

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

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

simplify344.0ms (4%)

Memory

25.8MiB live, 514.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 212×	`lower-fma.f64`
15 212×	`lower-fma.f32`
3 154×	`lower-*.f64`
3 154×	`lower-*.f32`
1 650×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	813
1	198	777
2	549	731
3	1951	699
4	5907	699
0	8429	673

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

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

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

eval160.0ms (1.8%)

Memory: -7.3MiB live, 192.9MiB allocated
Compiler: Compiled 23 470 to 2 050 computations (91.3% saved)

prune95.0ms (1.1%)

Memory

10.9MiB live, 206.7MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 053	6	1 059
Fresh	1	4	5
Picked	4	1	5
Done	1	2	3
Total	1 059	13	1 072

Accuracy

100.0%

Counts

1 072 → 13

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)
	53.9%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
	17.2%	(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x (.f64 x (*.f64 x x))))
▶	45.5%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
▶	99.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
✓	53.5%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	48.8%	(/.f64 #s(literal -1 binary64) x)
✓	2.3%	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
	47.5%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	2.8%	(-.f64 #s(literal 1 binary64) x)
	42.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))
	3.1%	(neg.f64 x)
▶	2.9%	#s(literal 1 binary64)

Compiler

Compiled 173 to 101 computations (41.6% saved)

simplify224.0ms (2.6%)

Memory

-15.1MiB live, 333.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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	(fma.f64 x x x)
✓	cost-diff	0	(/.f64 #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) 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

4 116×	`lower-*.f32`
4 112×	`lower-*.f64`
2 872×	`lower-fma.f32`
2 870×	`lower-fma.f64`
1 934×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	21	55
1	39	55
2	69	55
3	120	55
4	209	53
5	446	53
6	1346	53
7	2869	53
8	4049	53
9	5282	53
10	6413	53
11	7531	53
0	8063	53

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

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

localize53.0ms (0.6%)

Memory

-15.5MiB live, 78.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	92.2%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(fma.f64 x x x)
✓	accuracy	99.5%	(/.f64 #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) 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

26.0ms

256×

valid

Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (50.2% of total)

ival-sub: 3.0ms (21.5% of total)

ival-mult: 3.0ms (21.5% of total)

ival-add: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

9 → 108

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

Calls

27 calls:

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

rewrite310.0ms (3.6%)

Memory

-0.4MiB live, 466.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 112×	`lower-fma.f32`
4 110×	`lower-fma.f64`
3 140×	`lower-/.f32`
3 132×	`lower-/.f64`
3 072×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	21	42
1	96	42
2	642	40
3	6846	40
0	8076	40

Stop Event

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

Counts

9 → 807

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

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

simplify573.0ms (6.6%)

Memory

-260.3MiB live, 443.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 230×	`lower-fma.f64`
14 230×	`lower-fma.f32`
3 006×	`lower-*.f64`
3 006×	`lower-*.f32`
1 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	671
1	176	635
2	427	580
3	1505	562
4	5471	556
0	8282	543

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

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
(+ 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))))
(/ -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 (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))
(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)

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

eval154.0ms (1.8%)

Memory: 25.8MiB live, 216.6MiB allocated
Compiler: Compiled 19 866 to 1 884 computations (90.5% saved)

prune109.0ms (1.3%)

Memory

-0.8MiB live, 245.3MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1 002	6	1 008
Fresh	2	3	5
Picked	0	5	5
Done	0	3	3
Total	1 004	17	1 021

Accuracy

100.0%

Counts

1 021 → 17

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)
	53.9%	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
	15.8%	(/.f64 (-.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
✓	45.5%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x x)))
	47.5%	(/.f64 (+.f64 #s(literal -1 binary64) x) x)
	99.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) x)
✓	99.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
	99.5%	(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
✓	53.5%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	48.8%	(/.f64 #s(literal -1 binary64) x)
✓	2.3%	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓	2.8%	(-.f64 #s(literal 1 binary64) x)
	26.0%	(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x))
	45.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
	42.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (fma.f64 x x x))
	3.1%	(neg.f64 x)
✓	2.9%	#s(literal 1 binary64)

Compiler

Compiled 444 to 157 computations (64.6% saved)

regimes21.0ms (0.2%)

Memory

3.8MiB live, 38.0MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
8.0ms	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)

regimes17.0ms (0.2%)

Memory

-13.9MiB live, 27.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
5.0ms	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)

regimes9.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

regimes10.0ms (0.1%)

Memory

-16.9MiB live, 21.0MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms	x

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.0%	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)

regimes8.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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
97.9%	3	`x`
97.9%	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)

regimes9.0ms (0.1%)

Memory

-19.1MiB live, 18.6MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.0ms	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)

regimes5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(neg.f64 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
3.1%	1	`x`
3.1%	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)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

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
2.9%	1	`x`
2.9%	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)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2675515.7738045612
0.0ms	-4.201682822160329	-1.9164758627765108e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2675515.7738045612
0.0ms	-4.201682822160329	-1.9164758627765108e-6

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Memory

-21.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-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	29	108
1	41	108
2	53	108
3	58	108
4	62	108

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) x))
(/.f64 #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 -4 binary64)) (-.f64 (-.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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.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 -4 binary64)) (-.f64 #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)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal 1 binary64)

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

soundness1.6s (18.6%)

Memory

6.0MiB live, 958.7MiB allocated

Rules

15 212×	`lower-fma.f64`
15 212×	`lower-fma.f32`
11 796×	`lower-fma.f64`
11 796×	`lower-fma.f32`
11 170×	`lower-fma.f64`

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
0	19	100
0	36	98
1	171	91
2	1553	91
0	8309	89
0	6	20
0	10	20
1	59	20
2	551	20
3	6022	20
0	9428	18
0	66	813
1	198	777
2	549	731
3	1951	699
4	5907	699
0	8429	673
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	12	45
0	21	42
1	96	42
2	642	40
3	6846	40
0	8076	40
0	18	76
0	33	78
1	178	57
2	1777	57
0	8810	57

Stop Event

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

Compiler

Compiled 171 to 73 computations (57.3% saved)

preprocess224.0ms (2.6%)

Memory: -7.0MiB live, 123.1MiB allocated
Compiler: Compiled 270 to 92 computations (65.9% 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

analyze2.0ms (0%)

sample924.0ms (10.6%)

preprocess30.0ms (0.3%)

explain235.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize51.0ms (0.6%)

series2.0ms (0%)

rewrite267.0ms (3.1%)

simplify474.0ms (5.5%)

eval52.0ms (0.6%)

prune51.0ms (0.6%)

simplify670.0ms (7.7%)

localize79.0ms (0.9%)

series15.0ms (0.2%)

rewrite338.0ms (3.9%)

simplify354.0ms (4.1%)

eval137.0ms (1.6%)

prune92.0ms (1.1%)

simplify558.0ms (6.4%)

localize75.0ms (0.9%)

series7.0ms (0.1%)

rewrite296.0ms (3.4%)

simplify344.0ms (4%)

eval160.0ms (1.8%)

prune95.0ms (1.1%)

simplify224.0ms (2.6%)

localize53.0ms (0.6%)

series5.0ms (0.1%)

rewrite310.0ms (3.6%)

simplify573.0ms (6.6%)

eval154.0ms (1.8%)

prune109.0ms (1.3%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.6s (18.6%)

preprocess224.0ms (2.6%)

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