Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample522.0ms (11.7%)

Memory

17.3MiB live, 836.5MiB allocated

Samples

299.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 95.0ms (60.2% of total)

ival-sub: 50.0ms (31.7% of total)

ival-true: 5.0ms (3.2% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess23.0ms (0.5%)

Memory

7.7MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`associate-l`
42×	`times-frac`
36×	`lower-+.f64`
36×	`lower-+.f32`
34×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Stop Event

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

Calls

Call 1

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

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

explain49.0ms (1.1%)

Memory

-23.4MiB live, 114.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (53.7% of total)

ival-sub: 3.0ms (40.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify43.0ms (1%)

Memory

-24.9MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
26×	`sub-neg`
26×	`lower--.f32`
24×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (54.7% of total)

ival-sub: 1.0ms (27.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite280.0ms (6.3%)

Memory

11.5MiB live, 478.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 858×	`lower-/.f32`
3 856×	`lower-/.f64`
3 778×	`lower-fma.f64`
3 778×	`lower-fma.f32`
2 920×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	29	8
2	183	8
3	1612	8
0	9347	8

Stop Event

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

Counts

2 → 425

Calls

Call 1

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

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

simplify243.0ms (5.4%)

Memory

-42.9MiB live, 187.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4 624×	`lower-fma.f64`
4 624×	`lower-fma.f32`
1 550×	`unsub-neg`
1 096×	`lower-*.f64`
1 096×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 23

Calls

Call 1

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

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

eval73.0ms (1.6%)

Memory: -7.7MiB live, 69.3MiB allocated
Compiler: Compiled 12 144 to 1 267 computations (89.6% saved)

prune183.0ms (4.1%)

Memory

10.5MiB live, 88.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	444	4	448
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	444	5	449

Accuracy

100.0%

Counts

449 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.f64 x (fma.f64 x x x) x)
▶	50.0%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	50.3%	(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
▶	50.8%	#s(literal -1 binary64)

Compiler

Compiled 31 to 16 computations (48.4% saved)

simplify19.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

608×	`lower-fma.f32`
602×	`lower-fma.f64`
176×	`lower-+.f64`
176×	`lower-*.f32`
176×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	37
0	13	37
1	32	37
2	84	37
3	148	37
4	273	37
5	373	37
6	412	37
7	412	37
0	412	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize123.0ms (2.7%)

Memory

-1.4MiB live, 36.9MiB allocated

Localize:

Found 6 expressions of interest:

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

Samples

113.0ms

256×

valid

Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 101.0ms (96.1% of total)

ival-add: 3.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite441.0ms (9.9%)

Memory

-1.5MiB live, 554.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 600×	`lower-fma.f32`
8 594×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 648×	`lower-*.f64`
3 592×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	12	24
1	64	24
2	539	24
0	8277	24

Stop Event

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

Counts

4 → 589

Calls

Call 1

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

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

simplify377.0ms (8.4%)

Memory

-10.9MiB live, 659.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 990×	`lower-fma.f64`
16 990×	`lower-fma.f32`
3 550×	`lower-*.f64`
3 550×	`lower-*.f32`
1 576×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	296
1	140	296
2	393	286
3	1208	268
4	2952	268
5	5956	268
0	8206	228

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 45

Calls

Call 1

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

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

eval208.0ms (4.7%)

Memory: 31.0MiB live, 143.6MiB allocated
Compiler: Compiled 25 010 to 1 516 computations (93.9% saved)

prune415.0ms (9.3%)

Memory

-9.3MiB live, 229.4MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	817	1	818
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	817	6	823

Accuracy

100.0%

Counts

823 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 x (fma.f64 x x x) x)
✓	50.0%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.3%	(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
▶	3.3%	(*.f64 x x)
✓	50.8%	#s(literal -1 binary64)

Compiler

Compiled 35 to 18 computations (48.6% saved)

simplify4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)

Rules

2×	`lift-*.f64`
2×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	4
0	3	4
0	3	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x x)
x

Outputs
(*.f64 x x)
x

localize13.0ms (0.3%)

Memory

-33.2MiB live, 24.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)

Samples

10.0ms

256×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (97.9% of total)

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

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

series1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (*.f64 x x)>

Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

3 calls:

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

rewrite112.0ms (2.5%)

Memory

-11.5MiB live, 224.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 136×	`lower-pow.f64`
2 136×	`lower-pow.f32`
1 588×	`lower-*.f64`
1 588×	`lower-*.f32`
1 412×	`prod-exp`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	2	3
0	3	3
1	5	3
2	12	3
3	28	3
4	76	3
5	231	1
6	1515	1
7	1540	1
8	1663	1
9	2907	1
0	8282	1

Stop Event

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

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
#s(literal 1 binary64)
x

simplify4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-*.f64`
2×	`lower-pow.f64`
2×	`unpow2`
2×	`lower-*.f32`
2×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(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)

eval1.0ms (0%)

Memory: 3.8MiB live, 3.8MiB allocated
Compiler: Compiled 39 to 3 computations (92.3% saved)

prune2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	14	6	20

Accuracy

100.0%

Counts

20 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 x (fma.f64 x x x) x)
✓	50.0%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.3%	(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
▶	50.8%	x
✓	50.8%	#s(literal -1 binary64)

Compiler

Compiled 33 to 17 computations (48.5% saved)

simplify3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Samples

3.0ms

256×

valid

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite9.0ms (0.2%)

Memory

-31.2MiB live, 8.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.4MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 x (fma.f64 x x x) x)
✓	50.0%	(fma.f64 x x x)
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.3%	(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
✓	50.8%	x
✓	50.8%	#s(literal -1 binary64)

Compiler

Compiled 64 to 27 computations (57.8% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.7%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

-34.8MiB live, 5.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
x

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999821303	-6.8508220593199085e-6

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999821303	-6.8508220593199085e-6

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999821303	-6.8508220593199085e-6

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	17	45
2	20	45
3	22	45
4	23	45

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (27.6%)

Memory

-8.5MiB live, 395.8MiB allocated

Rules

16 990×	`lower-fma.f64`
16 990×	`lower-fma.f32`
4 624×	`lower-fma.f64`
4 624×	`lower-fma.f32`
3 550×	`lower-*.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	296
1	140	296
2	393	286
3	1208	268
4	2952	268
5	5956	268
0	8206	228
0	2	3
0	3	3
1	5	3
2	12	3
3	28	3
4	76	3
5	231	1
6	1515	1
7	1540	1
8	1663	1
9	2907	1
0	8282	1
0	33	135
1	93	120
2	220	114
3	546	112
4	1048	112
5	1960	112
6	3386	112
7	4530	112
8	4646	112
9	4646	112
10	4808	112
11	4883	112
12	4883	112
0	4883	109

Stop Event

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

Compiler

Compiled 78 to 30 computations (61.5% saved)

preprocess32.0ms (0.7%)

Memory: -8.4MiB live, 70.3MiB allocated
Compiler: Compiled 104 to 32 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

analyze1.0ms (0%)

sample522.0ms (11.7%)

preprocess23.0ms (0.5%)

explain49.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (1%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite280.0ms (6.3%)

simplify243.0ms (5.4%)

eval73.0ms (1.6%)

prune183.0ms (4.1%)

simplify19.0ms (0.4%)

localize123.0ms (2.7%)

series3.0ms (0.1%)

rewrite441.0ms (9.9%)

simplify377.0ms (8.4%)

eval208.0ms (4.7%)

prune415.0ms (9.3%)

simplify4.0ms (0.1%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite112.0ms (2.5%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite9.0ms (0.2%)

simplify2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness1.2s (27.6%)

preprocess32.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	195	10
5	284	10
6	295	10
7	309	10
8	322	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10