Metrics for Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample468.0ms (12.7%)

Memory

-7.7MiB live, 738.6MiB allocated

Samples

298.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 98.0ms (59.5% of total)

ival-sub: 54.0ms (32.8% of total)

ival-true: 6.0ms (3.6% of total)

exact: 4.0ms (2.4% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess29.0ms (0.8%)

Memory

-5.9MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
88×	`lower-*.f32`
86×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Stop Event

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

Calls

Call 1

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

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

explain42.0ms (1.1%)

Memory

27.5MiB live, 104.4MiB allocated

FPErrors

Click to see full error table

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

18.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-sub: 3.0ms (40.6% of total)

ival-mult: 3.0ms (40.6% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0.3%)

Memory

-13.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

144×	`lower-fma.f64`
144×	`lower-fma.f32`
88×	`lower-*.f32`
86×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.9%)

Memory

-14.4MiB live, 26.3MiB allocated

Localize:

Found 2 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)))

Samples

28.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-sub: 21.0ms (90% of total)

ival-mult: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<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 (- 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)))>

Calls

6 calls:

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

rewrite505.0ms (13.7%)

Memory

28.6MiB live, 581.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 622×	`lower-fma.f64`
8 622×	`lower-fma.f32`
4 178×	`lower-/.f64`
4 178×	`lower-/.f32`
3 404×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	25	8
2	138	8
3	1250	8
0	8952	8

Stop Event

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

Counts

2 → 299

Calls

Call 1

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

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

simplify359.0ms (9.8%)

Memory

19.0MiB live, 285.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 856×	`lower-fma.f64`
5 856×	`lower-fma.f32`
3 966×	`lower-*.f64`
3 966×	`lower-*.f32`
1 360×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	32	83
2	75	83
3	133	83
4	381	83
5	1592	83
6	2757	83
7	3875	83
8	5224	83
9	6705	83
10	7600	83
0	8010	83

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

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

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

eval75.0ms (2%)

Memory: 6.3MiB live, 82.8MiB allocated
Compiler: Compiled 8 935 to 867 computations (90.3% saved)

prune112.0ms (3%)

Memory

-38.4MiB live, 83.1MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	318	3	321
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	3	322

Accuracy

100.0%

Counts

322 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
▶	49.7%	(*.f64 x x)
▶	52.3%	(neg.f64 x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify11.0ms (0.3%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 x)
✓	cost-diff	(fma.f64 x x (neg.f64 x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(neg.f64 x)

Rules

144×	`lower-fma.f32`
142×	`lower-fma.f64`
88×	`lower-*.f32`
86×	`lower-*.f64`
48×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	15
0	7	15
1	13	15
2	23	15
3	34	15
4	53	15
5	112	15
6	201	15
7	233	15
8	233	15
0	233	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(neg.f64 x)
x
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)

Outputs
(neg.f64 x)
x
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)

localize73.0ms (2%)

Memory

-8.8MiB live, 30.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

67.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (44% of total)

ival-add: 1.0ms (22% of total)

ival-neg: 1.0ms (22% of total)

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

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

series2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite560.0ms (15.2%)

Memory

-10.7MiB live, 415.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 390×	`lower-fma.f32`
8 388×	`lower-fma.f64`
3 574×	`lower-/.f64`
3 574×	`lower-/.f32`
3 072×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	7	10
1	28	10
2	216	8
3	2224	8
0	8264	8

Stop Event

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

Counts

3 → 381

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(fma.f64 x x (neg.f64 x))

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

simplify486.0ms (13.2%)

Memory

6.1MiB live, 368.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 050×	`lower-fma.f64`
7 050×	`lower-fma.f32`
4 338×	`lower-*.f64`
4 338×	`lower-*.f32`
1 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	113
1	22	113
2	40	113
3	82	113
4	190	113
5	375	113
6	700	113
7	2349	113
8	3778	113
9	5762	113
10	7521	113
0	8084	113

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(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)))

Outputs
(* -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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)

eval85.0ms (2.3%)

Memory: 2.2MiB live, 80.4MiB allocated
Compiler: Compiled 11 697 to 955 computations (91.8% saved)

prune71.0ms (1.9%)

Memory

3.3MiB live, 115.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	477	1	478
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	477	4	481

Accuracy

100.0%

Counts

481 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	49.7%	(*.f64 x x)
✓	52.3%	(neg.f64 x)
▶	3.9%	x

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify7.0ms (0.2%)

Memory

-38.8MiB live, 7.1MiB 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

9.4MiB live, 9.4MiB 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

rewrite8.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB 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

simplify3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB 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, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (neg.f64 x))
✓	49.7%	(*.f64 x x)
✓	52.3%	(neg.f64 x)
✓	3.9%	x

Compiler

Compiled 32 to 15 computations (53.1% saved)

regimes8.0ms (0.2%)

Memory

-24.0MiB live, 14.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x (neg.f64 x))

Calls

2 calls:

6.0ms	x
3.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)
(*.f64 x x)

Outputs
(neg.f64 x)
(*.f64 x x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	3	`x`
97.3%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)
x

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.9%	2	`x`
52.3%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes5.0ms (0.1%)

Memory

-29.8MiB live, 8.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	x
1.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.9%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
3.9%	1	`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	2.099578322740848e-6	9.432385237722562

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch10.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.00042043242728648407	156.30066161208143

Samples

4.0ms

144×

valid

Compiler

Compiled 72 to 53 computations (26.4% saved)

Precisions

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

ival-sub: 1.0ms (51% of total)

ival-mult: 1.0ms (51% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

-13.3MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`neg-mul-1_binary64`
8×	`*-commutative_binary64`
8×	`unsub-neg_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	21	31
2	26	31
3	32	31
4	39	31
5	48	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (neg.f64 x) (.f64 x x))
(if (<=.f64 x #s(literal 1 binary64)) (neg.f64 x) x)
x

Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (neg.f64 x) (.f64 x x))
(if (<=.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (neg.f64 x) (.f64 x x))
(if (<=.f64 x #s(literal 1 binary64)) (neg.f64 x) x)
x

soundness643.0ms (17.5%)

Memory

12.2MiB live, 372.6MiB allocated

Rules

8 622×	`lower-fma.f64`
8 622×	`lower-fma.f32`
8 390×	`lower-fma.f32`
8 388×	`lower-fma.f64`
5 856×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	25	8
2	138	8
3	1250	8
0	8952	8
0	4	10
0	7	10
1	28	10
2	216	8
3	2224	8
0	8264	8
0	15	83
1	32	83
2	75	83
3	133	83
4	381	83
5	1592	83
6	2757	83
7	3875	83
8	5224	83
9	6705	83
10	7600	83
0	8010	83

Stop Event

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

Compiler

Compiled 56 to 28 computations (50% saved)

preprocess38.0ms (1%)

Memory: 5.6MiB live, 120.2MiB allocated
Compiler: Compiled 88 to 40 computations (54.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10

analyze0.0ms (0%)

sample468.0ms (12.7%)

preprocess29.0ms (0.8%)

explain42.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize34.0ms (0.9%)

series2.0ms (0%)

rewrite505.0ms (13.7%)

simplify359.0ms (9.8%)

eval75.0ms (2%)

prune112.0ms (3%)

simplify11.0ms (0.3%)

localize73.0ms (2%)

series2.0ms (0.1%)

rewrite560.0ms (15.2%)

simplify486.0ms (13.2%)

eval85.0ms (2.3%)

prune71.0ms (1.9%)

simplify7.0ms (0.2%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite8.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch10.0ms (0.3%)

simplify9.0ms (0.2%)

soundness643.0ms (17.5%)

preprocess38.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	22	11
2	55	10
3	161	10
4	210	10
5	218	10
0	4	5
0	6	5
1	12	5
2	18	5
3	21	5
4	23	5
5	28	5
6	38	5
7	56	5
8	113	5
9	199	5
10	228	5
11	228	5
0	228	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	12	10
2	18	10
3	21	10
4	23	10
5	28	10
6	38	10
7	56	10
8	113	10
9	199	10
10	228	10
11	228	10
0	228	10