Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 11 to 9 computations (18.2% saved)

sample678.0ms (10.8%)

Memory

38.6MiB live, 980.8MiB allocated

Samples

404.0ms	7 606×	0	valid
33.0ms	288×	2	valid
26.0ms	362×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-mult: 196.0ms (70.2% of total)

ival-sub: 57.0ms (20.4% of total)

adjust: 11.0ms (3.9% of total)

exact: 7.0ms (2.5% of total)

ival-true: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess92.0ms (1.5%)

Memory

-40.2MiB live, 124.5MiB allocated

Algorithm

1×	egg-herbie

Rules

776×	`lower-fma.f64`
776×	`lower-fma.f32`
480×	`lower-*.f32`
474×	`lower-*.f64`
238×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	33	18
2	97	14
3	332	14
4	923	14
5	1333	14
6	1344	14
7	1348	14
8	1348	14
0	7	9
0	11	9
1	21	9
2	46	7
3	99	7
4	196	7
5	285	7
6	380	7
7	581	7
8	682	7
9	769	7
10	943	7
11	1020	7
12	1020	7
13	1020	7
0	1020	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))

explain92.0ms (1.5%)

Memory

4.6MiB live, 160.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))`
-	-	`(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`
-	-	`(*.f64 x #s(literal 3 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

22.0ms	424×	0	valid
5.0ms	58×	1	valid
4.0ms	30×	2	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (69.4% of total)

ival-sub: 3.0ms (17.3% of total)

adjust: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB 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
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify46.0ms (0.7%)

Memory

35.4MiB live, 72.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	cost-diff	320	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Rules

776×	`lower-fma.f64`
776×	`lower-fma.f32`
480×	`lower-*.f32`
474×	`lower-*.f64`
218×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	21	27
2	46	23
3	99	23
4	196	23
5	285	23
6	380	23
7	581	23
8	682	23
9	769	23
10	943	23
11	1020	23
12	1020	23
13	1020	23
0	1020	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x

localize108.0ms (1.7%)

Memory

-29.3MiB live, 46.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Samples

12.0ms	212×	0	valid
2.0ms	29×	1	valid
2.0ms	15×	2	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.1% of total)

ival-sub: 3.0ms (31.9% of total)

adjust: 1.0ms (10.6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))>
#<alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))>
#<alt (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)>
#<alt (*.f64 x #s(literal 3 binary64))>

Outputs
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 3 (- 2 (* x 3)))
0.0ms	x	@	0	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	0	(* 3 (- 2 (* x 3)))
0.0ms	x	@	inf	(* (* 3 (- 2 (* x 3))) x)
0.0ms	x	@	-inf	(* (* 3 (- 2 (* x 3))) x)

simplify193.0ms (3.1%)

Memory

-1.4MiB live, 274.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 190×	`lower-*.f64`
3 190×	`lower-*.f32`
3 012×	`lower-fma.f64`
3 012×	`lower-fma.f32`
1 366×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	189

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

Outputs
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

rewrite585.0ms (9.3%)

Memory

4.4MiB live, 799.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 340×	`lower-fma.f64`
15 340×	`lower-fma.f32`
4 142×	`lower-*.f32`
4 136×	`lower-*.f64`
3 486×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Counts

4 → 850

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 #s(literal -6 binary64) (.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 x x) #s(literal 81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal -8 binary64) (.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (.f64 (-.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -4 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
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eval278.0ms (4.4%)

Memory: 31.3MiB live, 263.1MiB allocated
Compiler: Compiled 20 420 to 2 295 computations (88.8% saved)

prune145.0ms (2.3%)

Memory

2.8MiB live, 274.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	888	10	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	889	10	899

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	50.5%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
▶	49.6%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
▶	49.6%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	52.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	49.6%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 160 to 116 computations (27.5% saved)

simplify123.0ms (2%)

Memory

-29.9MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	0	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	cost-diff	0	(*.f64 #s(literal -9 binary64) x)
✓	cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
✓	cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
✓	cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))

Rules

1 064×	`lower-fma.f32`
1 060×	`lower-fma.f64`
768×	`lower-*.f32`
752×	`lower-*.f64`
418×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	39	134
1	63	130
2	90	115
3	136	115
4	228	115
5	366	115
6	605	115
7	1027	115
8	1518	115
9	1794	115
10	2194	115
11	2478	115
12	2785	115
13	3018	115
14	3074	115
15	3094	115
16	3110	115
17	3116	115
18	3124	115
0	3124	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
x
#s(literal 6 binary64)
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
#s(literal -9 binary64)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
#s(literal -9 binary64)
x
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
x
#s(literal 6 binary64)
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 x (.f64 x #s(literal -9 binary64)))
(*.f64 x x)
#s(literal -9 binary64)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
(.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 x #s(approx ( 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))))
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) x)
(*.f64 x #s(literal -9 binary64))
#s(literal -9 binary64)
x
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

localize127.0ms (2%)

Memory

-30.7MiB live, 204.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	accuracy	48.6%	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -9 binary64) x)
✓	accuracy	99.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	accuracy	48.7%	#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
✓	accuracy	99.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	accuracy	52.1%	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

52.0ms	198×	0	valid
11.0ms	35×	1	valid
7.0ms	23×	2	valid

Compiler

Compiled 113 to 23 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (60.4% of total)

ival-div: 4.0ms (14.2% of total)

ival-add: 3.0ms (10.7% of total)

adjust: 2.0ms (7.1% of total)

ival-sub: 2.0ms (7.1% of total)

exact: 1.0ms (3.6% of total)

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

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

series6.0ms (0.1%)

Memory

7.2MiB live, 7.1MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal -9 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)>
#<alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))>
#<alt (.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)>
#<alt #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))>
#<alt (*.f64 #s(literal -9 binary64) x)>
#<alt (.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)>
#<alt (.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))>
#<alt #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	-inf	(/ x (/ 1 (+ (* x -9) 6)))
0.0ms	x	@	inf	(* (* x x) -9)
0.0ms	x	@	-inf	(* -9 x)

simplify261.0ms (4.2%)

Memory

27.2MiB live, 376.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 368×	`lower-fma.f64`
8 368×	`lower-fma.f32`
2 510×	`lower-*.f64`
2 510×	`lower-*.f32`
1 512×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	918
1	219	914
2	484	908
3	1023	908
4	2296	908
5	4204	908
6	6909	908
0	8116	812

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))

rewrite625.0ms (10%)

Memory

-0.4MiB live, 561.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 184×	`lower-fma.f32`
8 180×	`lower-fma.f64`
4 608×	`lower-*.f32`
4 592×	`lower-*.f64`
2 772×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	39	120
1	118	116
2	667	101
3	6586	101
0	8129	98

Stop Event

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

Counts

15 → 821

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))

Outputs
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
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(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (.f64 (neg.f64 x) #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 #s(literal -6 binary64) (neg.f64 x)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 36 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 x (/.f64 (.f64 x #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 binary64))))
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(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal -6 binary64) (neg.f64 x)))
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(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
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(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
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(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
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(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 (neg.f64 x) #s(literal -6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 #s(literal -6 binary64) (neg.f64 x)))
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(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
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(fma.f64 #s(literal 9 binary64) (.f64 x (neg.f64 x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 x (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -6 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (/.f64 (.f64 x (*.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)))) (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (.f64 x (*.f64 x #s(literal 9 binary64))))) (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64)) #s(literal 10077696 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal 46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -157464 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 x (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (.f64 x (*.f64 x #s(literal 81 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6561 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 64 binary64))) (fma.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (-.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 4 binary64)) #s(literal 16 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (-.f64 #s(literal 4 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64)))

eval151.0ms (2.4%)

Memory: -14.0MiB live, 263.1MiB allocated
Compiler: Compiled 18 120 to 1 575 computations (91.3% saved)

prune116.0ms (1.9%)

Memory

22.6MiB live, 181.7MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	996	5	1 001
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	1 001	10	1 011

Accuracy

100.0%

Counts

1 011 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	92.4%	(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
	52.1%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	52.0%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	49.6%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
▶	49.5%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	49.6%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	52.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	49.6%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 125 to 91 computations (27.2% saved)

simplify92.0ms (1.5%)

Memory

8.3MiB live, 85.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
✓	cost-diff	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
✓	cost-diff	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	cost-diff	(*.f64 x #s(literal 3 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	cost-diff	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
✓	cost-diff	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	cost-diff	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
✓	cost-diff	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	cost-diff	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Rules

1 032×	`lower-fma.f32`
1 030×	`lower-fma.f64`
736×	`lower-*.f32`
720×	`lower-*.f64`
288×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	128
0	38	128
1	64	128
2	96	125
3	146	125
4	246	125
5	338	125
6	450	125
7	679	125
8	793	125
9	890	125
10	1069	125
11	1207	125
12	1358	125
13	1564	125
14	1645	125
15	1726	125
16	1775	125
17	1847	125
18	2015	125
19	2025	125
0	2025	120

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
x
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
x
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 x (.f64 x #s(literal -9 binary64))))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal -9 binary64)))
#s(literal -9 binary64)
(*.f64 x x)
x
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
x
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 3 binary64)

localize99.0ms (1.6%)

Memory

-1.5MiB live, 196.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.9%	(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
✓	accuracy	48.6%	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	48.6%	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	99.6%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	accuracy	52.4%	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	accuracy	49.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

50.0ms	198×	0	valid
10.0ms	35×	1	valid
8.0ms	23×	2	valid

Compiler

Compiled 104 to 25 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 32.0ms (67.7% of total)

ival-div: 5.0ms (10.6% of total)

const: 4.0ms (8.5% of total)

adjust: 2.0ms (4.2% of total)

ival-sub: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

series8.0ms (0.1%)

Memory

-45.4MiB live, 6.0MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)>
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))>
#<alt #s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal -9 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))>
#<alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))>
#<alt (.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x (- 2 (* x 3)))
0.0ms	x	@	0	(* (* x 3) (- 2 (* x 3)))
0.0ms	x	@	0	(* (+ (* x -9) 6) x)
0.0ms	x	@	0	(* x 3)
0.0ms	x	@	inf	(* (+ (* x -9) 6) x)

simplify272.0ms (4.3%)

Memory

50.5MiB live, 398.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 072×	`lower-fma.f64`
8 072×	`lower-fma.f32`
2 434×	`lower-*.f64`
2 434×	`lower-*.f32`
1 878×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	838
1	234	834
2	507	828
3	1055	828
4	2325	828
5	4327	828
6	7176	828
0	8093	750

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 #s(literal -9 binary64) (.f64 x x))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -3 x)))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* -3 x)))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* -3 x)))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* -3 (pow x 2))
(.f64 (.f64 x x) #s(literal -3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))

rewrite339.0ms (5.4%)

Memory

-22.3MiB live, 526.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 972×	`lower-fma.f32`
3 970×	`lower-fma.f64`
3 886×	`lower-*.f32`
3 870×	`lower-*.f64`
3 474×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	103
0	38	103
1	107	103
2	489	100
3	3656	100
0	8520	96

Stop Event

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

Counts

13 → 437

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(*.f64 x #s(literal 3 binary64))
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 x #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))

Outputs
(+.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(exp.f64 (+.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))))
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -3 binary64) (.f64 x (.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (.f64 x (.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(/.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 #s(literal 36 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x))))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (-.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x #s(literal 6 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))))))
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(.f64 #s(literal 3 binary64) (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))))
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(.f64 #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))) x)

eval73.0ms (1.2%)

Memory: 9.5MiB live, 162.4MiB allocated
Compiler: Compiled 8 672 to 1 231 computations (85.8% saved)

prune59.0ms (0.9%)

Memory

27.1MiB live, 150.2MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	630	1	631
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	631	10	641

Accuracy

100.0%

Counts

641 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	52.1%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	52.0%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
▶	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	49.6%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
✓	49.5%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	49.6%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	52.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	49.6%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 64 to 47 computations (26.6% saved)

simplify29.0ms (0.5%)

Memory

-24.6MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	cost-diff	1088	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))

Rules

200×	`lower-fma.f64`
200×	`lower-fma.f32`
152×	`lower-*.f64`
152×	`lower-*.f32`
100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
0	23	64
1	38	62
2	62	56
3	98	56
4	166	56
5	209	56
6	278	56
7	340	56
8	383	56
9	402	56
10	412	56
11	420	56
12	422	56
13	427	56
14	433	56
15	437	56
0	437	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize80.0ms (1.3%)

Memory

-11.9MiB live, 47.5MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	52.1%	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
✓	accuracy	99.6%	(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
✓	accuracy	52.4%	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))

Samples

36.0ms	19×	2	valid
25.0ms	215×	0	valid
4.0ms	22×	1	valid

Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 42.0ms (75.3% of total)

ival-mult: 5.0ms (9% of total)

const: 3.0ms (5.4% of total)

ival-sub: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

adjust: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))>
#<alt (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)>
#<alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))>
#<alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>

Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/4 x)) x)>
#<alt (/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)>
#<alt (/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)>
#<alt (/ -1/9 (pow x 2))>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/9 (pow x 2))>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	-inf	(/ (/ 1 (+ (* x -9) 6)) x)
0.0ms	x	@	inf	(/ (/ 1 (+ (* x -9) 6)) x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	x	@	0	(/ (/ 1 (+ (* x -9) 6)) x)

simplify275.0ms (4.4%)

Memory

-4.2MiB live, 352.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 002×	`lower-fma.f64`
8 002×	`lower-fma.f32`
2 228×	`lower-*.f64`
2 228×	`lower-*.f32`
1 726×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	484
1	226	476
2	524	464
3	1114	464
4	2470	464
5	5507	464
0	8036	425

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ 1/6 x)
(/ (+ 1/6 (* 1/4 x)) x)
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)
(/ -1/9 (pow x 2))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))
(/ -1/9 (pow x 2))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/4 x)) x)
(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x)
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) x)
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) x)
(/ -1/9 (pow x 2))
(/.f64 #s(literal -1/9 binary64) (*.f64 x x))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) (*.f64 x x))
(/ -1/9 (pow x 2))
(/.f64 #s(literal -1/9 binary64) (*.f64 x x))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* x (+ 6 (* -9 x)))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* -9 (pow x 2))
(.f64 x (.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite357.0ms (5.7%)

Memory

3.2MiB live, 436.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 306×	`lower-fma.f64`
4 306×	`lower-fma.f32`
3 886×	`lower-*.f64`
3 886×	`lower-*.f32`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	58
0	23	58
1	97	54
2	551	50
3	4147	50
0	8201	45

Stop Event

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

Counts

6 → 187

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) x)

Outputs
(exp.f64 (log.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(neg.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
(/.f64 x (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 x) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 x (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) x)
(.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)
(/.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) (neg.f64 x))
(/.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) x)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))) (neg.f64 x))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x))
(.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))) (exp.f64 (neg.f64 (log.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
(pow.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))
(.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(neg.f64 (neg.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 x (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
(.f64 (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(.f64 (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))) (neg.f64 x))
(.f64 (/.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(neg.f64 (neg.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal -1 binary64))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(pow.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(.f64 (neg.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))) #s(literal -1 binary64))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))

eval28.0ms (0.4%)

Memory: 33.9MiB live, 69.0MiB allocated
Compiler: Compiled 2 053 to 471 computations (77.1% saved)

prune33.0ms (0.5%)

Memory

-37.0MiB live, 84.1MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	259	10	269

Accuracy

100.0%

Counts

269 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	52.1%	(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	52.0%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	52.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	49.6%	(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
✓	49.5%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	49.6%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	52.1%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	49.6%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 184 to 99 computations (46.2% saved)

regimes11.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))

Calls

2 calls:

5.0ms	x
5.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-20.5MiB live, 18.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
(.f64 (.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Calls

2 calls:

4.0ms	x
3.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x)))

(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)

Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
97.1%	3	`x`
97.1%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-77.05650773201214	-1.2597483161076958e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	36	63
2	48	63
3	54	63
4	58	63
5	59	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 x (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))) #s(literal -50 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64))))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
(.f64 x #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)))

soundness735.0ms (11.7%)

Memory

-38.2MiB live, 249.6MiB allocated

Rules

15 340×	`lower-fma.f64`
15 340×	`lower-fma.f32`
4 142×	`lower-*.f32`
4 136×	`lower-*.f64`
3 486×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	216
1	82	216
2	169	216
3	406	216
4	1019	216
5	1335	216
6	2557	216
7	5031	216
8	6891	216
9	7986	216
0	8012	189
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Compiler

Compiled 86 to 51 computations (40.7% saved)

preprocess124.0ms (2%)

Memory: 11.2MiB live, 50.2MiB allocated
Compiler: Compiled 116 to 64 computations (44.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	64
0	23	64
1	38	62
2	62	56
3	98	56
4	166	56
5	209	56
6	278	56
7	340	56
8	383	56
9	402	56
10	412	56
11	420	56
12	422	56
13	427	56
14	433	56
15	437	56
0	437	51

Iter	Nodes	Cost
0	19	64
0	23	64
1	38	62
2	62	56
3	98	56
4	166	56
5	209	56
6	278	56
7	340	56
8	383	56
9	402	56
10	412	56
11	420	56
12	422	56
13	427	56
14	433	56
15	437	56
0	437	51

analyze0.0ms (0%)

sample678.0ms (10.8%)

preprocess92.0ms (1.5%)

explain92.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (0.7%)

localize108.0ms (1.7%)

series3.0ms (0.1%)

simplify193.0ms (3.1%)

rewrite585.0ms (9.3%)

eval278.0ms (4.4%)

prune145.0ms (2.3%)

simplify123.0ms (2%)

localize127.0ms (2%)

series6.0ms (0.1%)

simplify261.0ms (4.2%)

rewrite625.0ms (10%)

eval151.0ms (2.4%)

prune116.0ms (1.9%)

simplify92.0ms (1.5%)

localize99.0ms (1.6%)

series8.0ms (0.1%)

simplify272.0ms (4.3%)

rewrite339.0ms (5.4%)

eval73.0ms (1.2%)

prune59.0ms (0.9%)

simplify29.0ms (0.5%)

localize80.0ms (1.3%)

series3.0ms (0%)

simplify275.0ms (4.4%)

rewrite357.0ms (5.7%)

eval28.0ms (0.4%)

prune33.0ms (0.5%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness735.0ms (11.7%)

preprocess124.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	64
0	23	64
1	38	62
2	62	56
3	98	56
4	166	56
5	209	56
6	278	56
7	340	56
8	383	56
9	402	56
10	412	56
11	420	56
12	422	56
13	427	56
14	433	56
15	437	56
0	437	51