Metrics for Asymptote C

analyze2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 9 computations (40% saved)

sample1.1s (13.7%)

Memory

14.8MiB live, 1 199.1MiB allocated

Samples

305.0ms	1 534×	2	valid
265.0ms	2 422×	1	valid
252.0ms	4 300×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 650.0ms

ival-div: 223.0ms (34.3% of total)

ival-sub: 162.0ms (24.9% of total)

ival-add: 149.0ms (22.9% of total)

adjust: 103.0ms (15.9% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

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

Bogosity

preprocess69.0ms (0.9%)

Memory

-7.3MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Rules

640×	`lower-fma.f64`
640×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
194×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain127.0ms (1.6%)

Memory

1.6MiB live, 262.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	123	0

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	164×	1	valid
16.0ms	82×	2	valid
14.0ms	266×	0	valid

Compiler

Compiled 98 to 32 computations (67.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 13.0ms (37.2% of total)

ival-div: 11.0ms (31.5% of total)

adjust: 6.0ms (17.2% of total)

ival-add: 4.0ms (11.5% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 14 to 7 computations (50% saved)

simplify46.0ms (0.6%)

Memory

-3.7MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

640×	`lower-fma.f64`
640×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
168×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.5%)

Memory

-17.0MiB live, 66.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
✓	accuracy	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

10.0ms	82×	1	valid
7.0ms	133×	0	valid
7.0ms	41×	2	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (43.5% of total)

ival-sub: 4.0ms (24.9% of total)

adjust: 3.0ms (18.6% of total)

ival-add: 2.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite402.0ms (5.1%)

Memory

18.8MiB live, 501.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 084×	`lower-*.f64`
5 084×	`lower-*.f32`
4 902×	`lower-fma.f64`
4 902×	`lower-fma.f32`
4 894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 350

Calls

Call 1

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

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

simplify256.0ms (3.3%)

Memory

-6.8MiB live, 305.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 608×	`lower-fma.f64`
9 608×	`lower-fma.f32`
2 654×	`lower-*.f64`
2 654×	`lower-*.f32`
1 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	332
1	262	322
2	585	310
3	1504	292
4	3719	290
5	6658	290
0	8041	279

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

eval54.0ms (0.7%)

Memory: 24.3MiB live, 98.1MiB allocated
Compiler: Compiled 12 806 to 1 293 computations (89.9% saved)

prune65.0ms (0.8%)

Memory

-34.9MiB live, 137.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	437	7	444
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	437	8	445

Accuracy

100.0%

Counts

445 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
▶	52.3%	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
▶	51.9%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
	48.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
▶	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	51.9%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
▶	52.6%	#s(literal 1 binary64)

Compiler

Compiled 124 to 81 computations (34.7% saved)

simplify412.0ms (5.2%)

Memory

0.5MiB live, 513.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -3 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 (neg.f64 x) #s(literal 1 binary64))
✓	cost-diff	576	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))

Rules

21 592×	`lower-fma.f32`
21 584×	`lower-fma.f64`
3 112×	`lower-+.f32`
3 104×	`lower-+.f64`
2 488×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	33	76
1	60	73
2	105	71
3	204	69
4	371	69
5	1617	69
0	8675	69

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1%)

Memory

28.2MiB live, 141.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -3 binary64) x)
✓	accuracy	100.0%	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
✓	accuracy	77.6%	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))

Samples

25.0ms	81×	1	valid
17.0ms	133×	0	valid
16.0ms	42×	2	valid

Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions

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

ival-add: 13.0ms (31.4% of total)

ival-mult: 10.0ms (24.1% of total)

adjust: 9.0ms (21.7% of total)

ival-div: 7.0ms (16.9% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* 3 x) 1)
0.0ms	x	@	inf	(+ (* (/ x (+ (* x x) -1)) (+ x -1)) (/ (+ x 1) (+ (neg x) 1)))
0.0ms	x	@	0	(/ -3 x)
0.0ms	x	@	-inf	(+ (* x (+ 3 x)) 1)
0.0ms	x	@	inf	(/ x (+ (* x x) -1))

rewrite553.0ms (7%)

Memory

-180.5MiB live, 407.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 332×	`lower-fma.f32`
6 324×	`lower-fma.f64`
3 628×	`lower-/.f32`
3 624×	`lower-/.f64`
2 792×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	33	58
1	163	55
2	1493	39
0	9331	39

Stop Event

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

Counts

10 → 527

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (.f64 (.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) x)) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))))
(.f64 (fma.f64 (+.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 3 binary64)))))))
(.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))))
(+.f64 x #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) x)
(+.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal -3 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 3 binary64)))) (fma.f64 x (.f64 x x) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -3 binary64)) (fma.f64 x x #s(literal -9 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64)) (fma.f64 x x (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 3 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -9 binary64)) (+.f64 x #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -9 binary64))) (neg.f64 (+.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) x)))) (+.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 3 binary64))))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -3 binary64)) #s(literal 9 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 3 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3 binary64) x))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 3 binary64) (neg.f64 x))
(/.f64 #s(literal -3 binary64) x)
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))
(.f64 (pow.f64 (.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))

simplify308.0ms (3.9%)

Memory

14.3MiB live, 527.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 828×	`lower-fma.f64`
10 828×	`lower-fma.f32`
3 354×	`lower-*.f64`
3 354×	`lower-*.f32`
2 120×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	653
1	323	620
2	804	606
3	2213	594
4	5015	593
0	8132	557

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

eval89.0ms (1.1%)

Memory: 12.1MiB live, 221.6MiB allocated
Compiler: Compiled 14 121 to 1 619 computations (88.5% saved)

prune292.0ms (3.7%)

Memory

-6.1MiB live, 153.3MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	644	1	645
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	645	8	653

Accuracy

100.0%

Counts

653 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	52.3%	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓	51.9%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
▶	48.6%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	51.9%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓	52.6%	#s(literal 1 binary64)

Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify355.0ms (4.5%)

Memory

16.3MiB live, 531.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	576	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))

Rules

17 488×	`lower-fma.f32`
17 480×	`lower-fma.f64`
2 674×	`lower-+.f32`
2 668×	`lower-+.f64`
2 502×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	34	84
1	64	84
2	135	82
3	303	80
4	633	80
5	2070	80
6	6919	80
0	8110	80

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1%)

Memory

-0.4MiB live, 158.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	77.6%	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))

Samples

23.0ms	81×	1	valid
19.0ms	133×	0	valid
15.0ms	42×	2	valid

Compiler

Compiled 94 to 23 computations (75.5% saved)

Precisions

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

ival-add: 12.0ms (29.4% of total)

ival-div: 11.0ms (27% of total)

adjust: 8.0ms (19.6% of total)

ival-mult: 8.0ms (19.6% of total)

ival-sub: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-32.2MiB live, 6.6MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	-inf	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	inf	(/ (+ -3 (/ -1 x)) x)
0.0ms	x	@	0	(/ -1 x)
0.0ms	x	@	inf	(+ (* x x) 1)

rewrite316.0ms (4%)

Memory

36.3MiB live, 472.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 178×	`lower-fma.f32`
5 170×	`lower-fma.f64`
4 942×	`lower-/.f32`
4 934×	`lower-/.f64`
3 500×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	34	69
1	169	69
2	1602	65
0	8783	65

Stop Event

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

Counts

11 → 746

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (-.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal 3 binary64) x)))) (.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))) (.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)))) (.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 x (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))) (.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (-.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (.f64 x (.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (fma.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 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #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 #s(literal -1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (-.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 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x 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 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.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)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.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 (.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))

simplify339.0ms (4.3%)

Memory

-4.7MiB live, 499.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 224×	`lower-fma.f64`
12 224×	`lower-fma.f32`
3 900×	`lower-*.f64`
3 900×	`lower-*.f32`
2 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	840
1	389	783
2	1027	766
3	3665	744
0	8480	691

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

eval143.0ms (1.8%)

Memory: 4.5MiB live, 177.7MiB allocated
Compiler: Compiled 22 057 to 2 034 computations (90.8% saved)

prune120.0ms (1.5%)

Memory

-22.0MiB live, 215.3MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	874	2	876
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	875	9	884

Accuracy

100.0%

Counts

884 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	52.3%	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓	51.9%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
▶	26.2%	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
✓	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	51.9%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓	52.6%	#s(literal 1 binary64)

Compiler

Compiled 82 to 49 computations (40.2% saved)

simplify16.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))

Rules

462×	`lower-fma.f32`
456×	`lower-fma.f64`
170×	`lower-*.f32`
168×	`lower-*.f64`
132×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
0	18	40
1	32	38
2	54	38
3	134	38
4	276	38
5	328	38
6	354	38
7	354	38
0	354	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.4%)

Memory

-6.9MiB live, 70.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	77.5%	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))

Samples

20.0ms	245×	0	valid
1.0ms	7×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (48.1% of total)

ival-add: 4.0ms (27.5% of total)

ival-div: 3.0ms (20.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	inf	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	-inf	(/ (+ (* x -3) -1) (* x x))
0.0ms	x	@	-inf	(* x x)
0.0ms	x	@	inf	(* x x)

rewrite382.0ms (4.9%)

Memory

-18.8MiB live, 649.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 028×	`lower-fma.f32`
11 022×	`lower-fma.f64`
5 456×	`lower-*.f32`
5 454×	`lower-*.f64`
4 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	18	31
1	77	29
2	649	29
0	8630	28

Stop Event

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

Counts

5 → 593

Calls

Call 1

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

Outputs
(+.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 -3 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x x))) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal -3 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -3 binary64)) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(fma.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 -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 x x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) (neg.f64 (.f64 x x))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))))
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(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 729 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 729 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 729 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 729 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64)))))
(.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))))))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 729 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -3 binary64)))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 3 binary64))))

simplify521.0ms (6.6%)

Memory

20.0MiB live, 581.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 434×	`lower-fma.f64`
15 434×	`lower-fma.f32`
2 902×	`lower-*.f64`
2 902×	`lower-*.f32`
1 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	342
1	156	342
2	465	318
3	1491	310
4	4855	310
5	7997	310
0	8006	278

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval173.0ms (2.2%)

Memory: 12.6MiB live, 199.4MiB allocated
Compiler: Compiled 20 692 to 1 553 computations (92.5% saved)

prune121.0ms (1.5%)

Memory

-26.1MiB live, 234.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	790	2	792
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	791	10	801

Accuracy

100.0%

Counts

801 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
	51.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
✓	52.3%	(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
✓	51.9%	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
✓	26.2%	(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
	27.1%	(/.f64 (.f64 x #s(literal -3 binary64)) (.f64 x x))
✓	49.6%	(/.f64 #s(literal -3 binary64) x)
✓	54.7%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
✓	51.9%	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
✓	52.6%	#s(literal 1 binary64)

Compiler

Compiled 204 to 92 computations (54.9% saved)

regimes9.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 16 to 8 computations (50% saved)

regimes39.0ms (0.5%)

Memory

-31.1MiB live, 8.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

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

Results

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

Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 14 to 7 computations (50% saved)

regimes3.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.3%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.2%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Accuracy

Total -0.7b remaining (-2.4%)

Threshold costs -0.7b (-2.4%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 16 to 8 computations (50% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.701394663517931e-11	0.1716136908128616

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.701394663517931e-11	0.1716136908128616

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1716136908128616	0.9999999998106115

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1716136908128616	0.9999999998106115

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1716136908128616	0.9999999998106115

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1716136908128616	0.9999999998106115

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify18.0ms (0.2%)

Memory

-21.4MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`*-commutative_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	192
1	52	192
2	65	192
3	83	192
4	94	192
5	97	192
6	98	192

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -3 binary64) x) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness1.2s (15.1%)

Memory

2.7MiB live, 575.6MiB allocated

Rules

11 028×	`lower-fma.f32`
11 022×	`lower-fma.f64`
9 608×	`lower-fma.f64`
9 608×	`lower-fma.f32`
6 332×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	67	28
2	704	28
0	8085	28
0	95	332
1	262	322
2	585	310
3	1504	292
4	3719	290
5	6658	290
0	8041	279
0	18	69
0	34	69
1	169	69
2	1602	65
0	8783	65
0	17	58
0	33	58
1	163	55
2	1493	39
0	9331	39
0	10	31
0	18	31
1	77	29
2	649	29
0	8630	28

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

Compiler

Compiled 355 to 131 computations (63.1% saved)

preprocess84.0ms (1.1%)

Memory: -24.5MiB live, 53.1MiB allocated
Compiler: Compiled 414 to 90 computations (78.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

sample1.1s (13.7%)

preprocess69.0ms (0.9%)

explain127.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.6%)

localize38.0ms (0.5%)

series3.0ms (0%)

rewrite402.0ms (5.1%)

simplify256.0ms (3.3%)

eval54.0ms (0.7%)

prune65.0ms (0.8%)

simplify412.0ms (5.2%)

localize78.0ms (1%)

series6.0ms (0.1%)

rewrite553.0ms (7%)

simplify308.0ms (3.9%)

eval89.0ms (1.1%)

prune292.0ms (3.7%)

simplify355.0ms (4.5%)

localize81.0ms (1%)

series27.0ms (0.3%)

rewrite316.0ms (4%)

simplify339.0ms (4.3%)

eval143.0ms (1.8%)

prune120.0ms (1.5%)

simplify16.0ms (0.2%)

localize34.0ms (0.4%)

series4.0ms (0.1%)

rewrite382.0ms (4.9%)

simplify521.0ms (6.6%)

eval173.0ms (2.2%)

prune121.0ms (1.5%)

regimes9.0ms (0.1%)

regimes39.0ms (0.5%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.2%)

soundness1.2s (15.1%)

preprocess84.0ms (1.1%)

end0.0ms (0%)

Profiling