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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample670.0ms (19.1%)

Memory

-10.9MiB live, 620.7MiB allocated

Samples

486.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-sub: 134.0ms (59.4% of total)

ival-mult: 80.0ms (35.5% of total)

ival-true: 5.0ms (2.2% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

preprocess20.0ms (0.6%)

Memory

32.7MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Rules

144×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
48×	`+-lowering-+.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
1	10	5
2	16	5
3	19	5
4	21	5
5	26	5
6	36	5
7	54	5
8	111	5
9	198	5
10	227	5
11	227	5
0	227	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (- x 1))

Outputs
(* x (- x 1))
(fma.f64 x x (neg.f64 x))

explain119.0ms (3.4%)

Memory

-39.1MiB live, 81.8MiB 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

72.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 26.0ms (85.6% of total)

ival-mult: 3.0ms (9.9% 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

1.3MiB live, 1.3MiB 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)

simplify10.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB 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×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	10	10
2	16	10
3	19	10
4	21	10
5	26	10
6	36	10
7	54	10
8	111	10
9	198	10
10	227	10
11	227	10
0	227	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize39.0ms (1.1%)

Memory

-10.7MiB live, 23.9MiB 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

33.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 2.0ms (57.7% of total)

ival-mult: 2.0ms (57.7% 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

2.6MiB live, 2.6MiB allocated

Counts

2 → 24

Calls

Call 1

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

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)

rewrite753.0ms (21.4%)

Memory

7.4MiB live, 579.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 622×	`accelerator-lowering-fma.f32`
8 622×	`accelerator-lowering-fma.f64`
4 178×	`/-lowering-/.f32`
4 178×	`/-lowering-/.f64`
3 404×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	23	8
2	136	8
3	1247	8
0	8965	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 299

Calls

Call 1

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

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

simplify265.0ms (7.6%)

Memory

-4.1MiB live, 346.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 856×	`accelerator-lowering-fma.f32`
5 856×	`accelerator-lowering-fma.f64`
3 966×	`-lowering-.f32`
3 966×	`-lowering-.f64`
1 360×	`/-lowering-/.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 → 24

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)

eval59.0ms (1.7%)

Memory: 19.0MiB live, 95.1MiB allocated
Compiler: Compiled 8 941 to 866 computations (90.3% saved)

prune41.0ms (1.2%)

Memory

-12.1MiB live, 107.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	320	3	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	3	324

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
▶	55.2%	(*.f64 x x)
▶	47.0%	(neg.f64 x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify13.0ms (0.4%)

Memory

-7.6MiB live, 29.5MiB 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×	`accelerator-lowering-fma.f32`
144×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
48×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	15
1	10	15
2	20	15
3	31	15
4	50	15
5	109	15
6	199	15
7	232	15
8	232	15
0	232	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg x)
x
(* x x)
x
(+ (* x x) (neg x))
x
(neg x)

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

localize19.0ms (0.5%)

Memory

0.4MiB live, 42.8MiB 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

13.0ms

256×

valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

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

ival-mult: 2.0ms (44.8% of total)

ival-add: 1.0ms (22.4% of total)

ival-neg: 1.0ms (22.4% of total)

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

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

series1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (neg x)>
#<alt (* x x)>
#<alt (+ (* x x) (neg 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	@	0	(* x x)
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	inf	(+ (* x x) (neg x))
0.0ms	x	@	0	(+ (* x x) (neg x))

rewrite364.0ms (10.4%)

Memory

11.0MiB live, 656.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 390×	`accelerator-lowering-fma.f32`
8 390×	`accelerator-lowering-fma.f64`
3 574×	`/-lowering-/.f32`
3 574×	`/-lowering-/.f64`
3 072×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	25	10
2	213	9
3	2213	9
0	8240	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 381

Calls

Call 1

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

simplify250.0ms (7.1%)

Memory

-19.3MiB live, 500.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 050×	`accelerator-lowering-fma.f32`
7 050×	`accelerator-lowering-fma.f64`
4 338×	`-lowering-.f32`
4 338×	`-lowering-.f64`
1 582×	`/-lowering-/.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)

eval54.0ms (1.5%)

Memory: 5.1MiB live, 157.8MiB allocated
Compiler: Compiled 11 697 to 954 computations (91.8% saved)

prune54.0ms (1.5%)

Memory

1.1MiB live, 158.6MiB 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))
✓	55.2%	(*.f64 x x)
✓	47.0%	(neg.f64 x)
▶	3.2%	x

Compiler

Compiled 15 to 8 computations (46.7% 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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize5.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB 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

0.1MiB live, 0.1MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite31.0ms (0.9%)

Memory

-21.7MiB live, 16.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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))
✓	55.2%	(*.f64 x x)
✓	47.0%	(neg.f64 x)
✓	3.2%	x

Compiler

Compiled 32 to 15 computations (53.1% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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:

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

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

10.8MiB live, 10.8MiB 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	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

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)

regimes41.0ms (1.2%)

Memory

-25.2MiB live, 13.0MiB 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:

39.0ms	(*.f64 x (-.f64 x #s(literal 1 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	2	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.0%	1	`x`
47.0%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`(*.f64 x (-.f64 x #s(literal 1 binary64)))`
3.2%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06444656455814554	2.2082589658683753

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify19.0ms (0.5%)

Memory

-42.1MiB live, 22.1MiB 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	10	26
1	19	26
2	24	26
3	30	26
4	37	26
5	46	26

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 3602879701896397/36028797018963968 binary64)) (neg.f64 x) (.f64 x x))
(neg.f64 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 3602879701896397/36028797018963968 binary64)) (neg.f64 x) (.f64 x x))
(if (<=.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) (neg.f64 x) (.f64 x x))
(neg.f64 x)
x

soundness604.0ms (17.2%)

Memory

-4.2MiB live, 389.6MiB allocated

Rules

8 622×	`accelerator-lowering-fma.f32`
8 622×	`accelerator-lowering-fma.f64`
8 390×	`accelerator-lowering-fma.f32`
8 390×	`accelerator-lowering-fma.f64`
5 856×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	25	10
2	213	9
3	2213	9
0	8240	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
0	4	8
1	23	8
2	136	8
3	1247	8
0	8965	8

Stop Event

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

Compiler

Compiled 48 to 22 computations (54.2% saved)

preprocess54.0ms (1.5%)

Memory: 26.2MiB live, 143.9MiB allocated
Compiler: Compiled 78 to 34 computations (56.4% 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
1	10	5
2	16	5
3	19	5
4	21	5
5	26	5
6	36	5
7	54	5
8	111	5
9	198	5
10	227	5
11	227	5
0	227	5

Iter	Nodes	Cost
0	4	10
1	10	10
2	16	10
3	19	10
4	21	10
5	26	10
6	36	10
7	54	10
8	111	10
9	198	10
10	227	10
11	227	10
0	227	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
1	10	5
2	16	5
3	19	5
4	21	5
5	26	5
6	36	5
7	54	5
8	111	5
9	198	5
10	227	5
11	227	5
0	227	5

Iter	Nodes	Cost
0	4	10
1	10	10
2	16	10
3	19	10
4	21	10
5	26	10
6	36	10
7	54	10
8	111	10
9	198	10
10	227	10
11	227	10
0	227	10

analyze0.0ms (0%)

sample670.0ms (19.1%)

preprocess20.0ms (0.6%)

explain119.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.3%)

localize39.0ms (1.1%)

series1.0ms (0%)

rewrite753.0ms (21.4%)

simplify265.0ms (7.6%)

eval59.0ms (1.7%)

prune41.0ms (1.2%)

simplify13.0ms (0.4%)

localize19.0ms (0.5%)

series1.0ms (0%)

rewrite364.0ms (10.4%)

simplify250.0ms (7.1%)

eval54.0ms (1.5%)

prune54.0ms (1.5%)

simplify3.0ms (0.1%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite31.0ms (0.9%)

simplify4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes41.0ms (1.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify19.0ms (0.5%)

soundness604.0ms (17.2%)

preprocess54.0ms (1.5%)

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
1	10	5
2	16	5
3	19	5
4	21	5
5	26	5
6	36	5
7	54	5
8	111	5
9	198	5
10	227	5
11	227	5
0	227	5

Iter	Nodes	Cost
0	4	10
1	10	10
2	16	10
3	19	10
4	21	10
5	26	10
6	36	10
7	54	10
8	111	10
9	198	10
10	227	10
11	227	10
0	227	10