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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample786.0ms (10.9%)

Memory

11.0MiB live, 1 327.4MiB allocated

Samples

391.0ms	7 620×	0	valid
58.0ms	320×	1	valid
40.0ms	316×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-mult: 204.0ms (69.9% of total)

ival-sub: 61.0ms (20.9% of total)

adjust: 10.0ms (3.4% of total)

exact: 7.0ms (2.4% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

preprocess79.0ms (1.1%)

Memory

-4.8MiB live, 114.4MiB 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)))

explain301.0ms (4.2%)

Memory

6.0MiB live, 162.1MiB 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

62.0ms	42×	1	valid
33.0ms	426×	0	valid
6.0ms	44×	2	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

adjust: 60.0ms (69.1% of total)

ival-mult: 23.0ms (26.5% of total)

ival-sub: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify65.0ms (0.9%)

Memory

9.5MiB live, 48.6MiB 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

localize52.0ms (0.7%)

Memory

-0.4MiB live, 37.7MiB 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 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

10.0ms	213×	0	valid
3.0ms	22×	2	valid
2.0ms	21×	1	valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61% of total)

ival-sub: 2.0ms (24.4% of total)

adjust: 1.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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	(* x 3)
0.0ms	x	@	-inf	(* (* 3 (- 2 (* x 3))) x)

simplify501.0ms (7%)

Memory

9.7MiB live, 161.1MiB 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))

rewrite495.0ms (6.9%)

Memory

-29.0MiB live, 891.4MiB 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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eval120.0ms (1.7%)

Memory: 19.5MiB live, 204.0MiB allocated
Compiler: Compiled 20 468 to 2 295 computations (88.8% saved)

prune138.0ms (1.9%)

Memory

12.2MiB live, 210.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	890	8	898
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	891	8	899

Accuracy

100.0%

Counts

899 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
▶	44.6%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 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)))
▶	55.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	46.9%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	55.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 128 to 88 computations (31.3% saved)

simplify122.0ms (1.7%)

Memory

-15.1MiB live, 113.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
✓	cost-diff	1408	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -3 binary64))
✓	cost-diff	320	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	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

1 400×	`lower-fma.f32`
1 394×	`lower-fma.f64`
808×	`lower-*.f32`
792×	`lower-*.f64`
432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	121
0	41	119
1	82	117
2	165	109
3	292	108
4	489	108
5	627	108
6	932	108
7	1414	108
8	2178	108
9	2853	108
10	3117	108
11	3317	108
12	3323	108
13	3333	108
14	3335	108
0	3335	101

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

localize93.0ms (1.3%)

Memory

13.9MiB live, 167.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 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	54.4%	#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	46.4%	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(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

26.0ms	176×	0	valid
16.0ms	40×	2	valid
12.0ms	40×	1	valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 23.0ms (61% of total)

ival-add: 5.0ms (13.3% of total)

ival-div: 4.0ms (10.6% of total)

adjust: 4.0ms (10.6% of total)

ival-sub: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

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

series8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))>
#<alt (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 2 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 (* -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 (- (* 3 x) 2)>
#<alt (- (* 3 x) 2)>
#<alt (- (* 3 x) 2)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* x (- 3 (* 2 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 3)))>
#<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) (+ 9 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* 6 (/ 1 x))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -3/4 x)) x)>
#<alt (/ (+ 1/2 (* x (- (* 9/8 x) 3/4))) x)>
#<alt (/ (+ 1/2 (* x (- (* x (+ 9/8 (* -27/16 x))) 3/4))) x)>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (* 2/9 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 1/3 (/ 4/27 (pow x 2))) (+ (* 2/9 (/ 1 x)) (* 8/81 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (- 1/3 (* 2/9 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/3 (* -1 (/ (- 2/9 (* 4/27 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 1/3 (* -1 (/ (+ 2/9 (* -1 (/ (- 4/27 (* 8/81 (/ 1 x))) x))) x))) (pow x 2))>
#<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) (+ 3 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* 3 x))>
#<alt (+ 2 (* 3 x))>
#<alt (+ 2 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>
#<alt (* x (+ 3 (* 2 (/ 1 x))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1 (* x (+ (* 3 x) 2)))
1.0ms	x	@	inf	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(/ 3 (/ 1 (* x (+ (* 3 x) 2))))
0.0ms	x	@	0	(+ (* x 6) (* (* x x) -9))
0.0ms	x	@	0	(* (* x -3) (+ (* 3 x) -2))

simplify357.0ms (5%)

Memory

-21.8MiB live, 399.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`lower-fma.f64`
7 898×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
2 746×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	968
1	274	968
2	579	960
3	1193	956
4	2579	956
5	5877	956
0	8779	860

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

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

rewrite526.0ms (7.3%)

Memory

9.7MiB live, 645.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 316×	`lower-fma.f32`
11 310×	`lower-fma.f64`
5 842×	`lower-*.f32`
5 826×	`lower-*.f64`
3 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
0	41	104
1	149	101
2	910	93
0	8729	86

Stop Event

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

Counts

15 → 1 138

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 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(*.f64 x #s(literal -3 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -2 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 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x 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 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (neg.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) (/.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (neg.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(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 (.f64 x 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 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 6 binary64) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (.f64 x 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 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (.f64 x #s(literal -9 binary64)) x (.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 -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (*.f64 x 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 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (.f64 x #s(literal -3 binary64)) #s(literal -2 binary64) (.f64 (*.f64 x 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 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 36 binary64) (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 #s(literal 9 binary64) (.f64 x (neg.f64 x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (neg.f64 x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 (.f64 (.f64 x 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 #s(literal -6 binary64) (neg.f64 x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 (.f64 x #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (/.f64 x #s(literal 3 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 x #s(literal -3 binary64)) (/.f64 (.f64 x #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 x (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 x #s(literal 36 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) #s(literal 3 binary64)) (/.f64 x (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 x (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (.f64 x #s(literal 36 binary64)) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) x) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 36 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 36 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 x x) #s(literal 3 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) #s(literal -3 binary64)) (/.f64 #s(literal 36 binary64) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #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 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) #s(literal 12 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 #s(literal 12 binary64) (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 (.f64 x x) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) x) (/.f64 (.f64 x #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) #s(literal -3 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x #s(literal 6 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 6 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 (.f64 x #s(literal 6 binary64)) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 #s(literal -12 binary64) (/.f64 (.f64 x x) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 #s(literal 36 binary64) (.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (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 (.f64 x x) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) x) (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 6 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) #s(literal -3 binary64)) (/.f64 x (.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
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eval223.0ms (3.1%)

Memory: 1.5MiB live, 404.6MiB allocated
Compiler: Compiled 28 503 to 2 585 computations (90.9% saved)

prune163.0ms (2.3%)

Memory

-8.5MiB live, 298.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 313	5	1 318
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 316	10	1 326

Accuracy

100.0%

Counts

1 326 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
	59.2%	(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 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	44.6%	(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
▶	46.8%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	55.2%	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
✓	55.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	46.9%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	55.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 219 to 133 computations (39.3% saved)

simplify111.0ms (1.5%)

Memory

0.6MiB live, 116.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 440×	`lower-fma.f32`
1 436×	`lower-fma.f64`
848×	`lower-*.f32`
834×	`lower-*.f64`
422×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	125
0	47	123
1	91	123
2	138	120
3	203	120
4	331	120
5	437	120
6	545	119
7	879	119
8	1144	119
9	1390	119
10	1691	119
11	2045	119
12	2357	119
13	2609	119
14	2678	119
15	2719	119
16	2729	119
17	2730	119
0	2730	116

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

localize153.0ms (2.1%)

Memory

7.9MiB live, 206.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	47.9%	#s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x))
✓	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 (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
✓	accuracy	54.4%	#s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	accuracy	55.3%	#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

80.0ms	176×	0	valid
29.0ms	40×	2	valid
15.0ms	40×	1	valid

Compiler

Compiled 110 to 33 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 63.0ms (61.2% of total)

adjust: 17.0ms (16.5% of total)

ival-div: 8.0ms (7.8% of total)

const: 7.0ms (6.8% of total)

ival-add: 6.0ms (5.8% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

15 → 180

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

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* (+ (* x -9) 6) x)
0.0ms	x	@	inf	(* (+ (* x -9) 6) x)
0.0ms	x	@	0	(/ 1/2 x)
0.0ms	x	@	0	(* (+ (* x -9) 6) x)
0.0ms	x	@	-inf	(/ 1/2 x)

simplify381.0ms (5.3%)

Memory

5.3MiB live, 406.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 898×	`lower-fma.f64`
7 898×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
2 746×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	952
1	274	952
2	579	944
3	1193	940
4	2579	940
5	5877	940
0	8779	853

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

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

rewrite450.0ms (6.2%)

Memory

-20.2MiB live, 544.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 540×	`lower-fma.f32`
5 536×	`lower-fma.f64`
4 198×	`lower-*.f32`
4 184×	`lower-*.f64`
2 994×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	110
0	47	108
1	187	108
2	835	104
3	6675	104
0	8367	101

Stop Event

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

Counts

15 → 640

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

Outputs
(+.f64 (.f64 x #s(literal 6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #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 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
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(.f64 (/.f64 (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 (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)))
(.f64 (/.f64 (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 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(.f64 (/.f64 (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)))
(.f64 (/.f64 (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 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64))) (.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) (.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 x (.f64 x #s(literal 9 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (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))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -9 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))

eval99.0ms (1.4%)

Memory: 20.1MiB live, 251.2MiB allocated
Compiler: Compiled 12 858 to 1 755 computations (86.4% saved)

prune101.0ms (1.4%)

Memory

-22.0MiB live, 247.4MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	818	2	820
Fresh	2	0	2
Picked	1	4	5
Done	0	3	3
Total	821	9	830

Accuracy

100.0%

Counts

830 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	90.7%	(/.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)))
▶	46.8%	(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	46.8%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	55.2%	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
✓	55.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	46.9%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	55.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 72 to 48 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x #s(literal 81 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
✓	cost-diff	(/.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)))
✓	cost-diff	#s(approx (+ (* x 3) 2) #s(literal 2 binary64))
✓	cost-diff	(.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))
✓	cost-diff	(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))

Rules

138×	`lower-*.f32`
132×	`lower-*.f64`
80×	`lower-fma.f32`
76×	`lower-fma.f64`
36×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	69
0	27	69
1	48	69
2	63	69
3	68	69
4	76	69
5	94	69
6	121	69
7	131	69
8	139	69
0	139	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.8%)

Memory

-16.5MiB live, 123.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 81 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))
✓	accuracy	90.7%	(/.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)))
✓	accuracy	99.8%	(.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	46.4%	#s(approx (+ (* x 3) 2) #s(literal 2 binary64))

Samples

89.0ms	187×	0	valid
11.0ms	30×	2	valid
8.0ms	36×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 70 to 21 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 46.0ms (47.3% of total)

const: 36.0ms (37% of total)

adjust: 6.0ms (6.2% of total)

ival-add: 5.0ms (5.1% of total)

ival-div: 4.0ms (4.1% of total)

exact: 1.0ms (1% of total)

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

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

series6.0ms (0.1%)

Memory

-27.6MiB live, 10.9MiB allocated

Counts

7 → 84

Calls

Call 1

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6))
1.0ms	x	@	0	(/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6))
0.0ms	x	@	-inf	(/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6))
0.0ms	x	@	inf	(* x 81)
0.0ms	x	@	-inf	(* x 81)

simplify323.0ms (4.5%)

Memory

17.3MiB live, 293.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 194×	`lower-*.f64`
4 194×	`lower-*.f32`
3 094×	`lower-fma.f64`
3 094×	`lower-fma.f32`
1 874×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	484
1	138	484
2	283	484
3	594	484
4	1278	484
5	2849	484
6	3663	484
7	4965	484
8	7240	484
0	8294	430

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* (pow x 2) (+ 9 (* 6 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 3 x)))
(* x (+ 2 (* 3 x)))
(* x (+ 2 (* 3 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
(* (pow x 2) (+ 3 (* 2 (/ 1 x))))
2
(+ 2 (* 3 x))
(+ 2 (* 3 x))
(+ 2 (* 3 x))
(* 3 x)
(* x (+ 3 (* 2 (/ 1 x))))
(* x (+ 3 (* 2 (/ 1 x))))
(* x (+ 3 (* 2 (/ 1 x))))
(* 3 x)
(* x (+ 3 (* 2 (/ 1 x))))
(* x (+ 3 (* 2 (/ 1 x))))
(* 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))
(* -36 x)
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)

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

rewrite557.0ms (7.7%)

Memory

7.5MiB live, 593.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 860×	`lower-fma.f32`
5 856×	`lower-fma.f64`
4 714×	`lower-*.f32`
4 708×	`lower-*.f64`
3 100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
0	27	57
1	106	51
2	669	51
3	6368	51
0	8012	47

Stop Event

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

Counts

7 → 349

Calls

Call 1

Inputs
(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))
#s(approx (+ (* x 3) 2) #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)))
(.f64 x (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))
(*.f64 x #s(literal 81 binary64))

Outputs
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) #s(literal -3 binary64)))
(neg.f64 (.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) #s(literal -3 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal -3 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))))
(/.f64 x (/.f64 #s(literal 1/3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))) #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))))) #s(literal -1/3 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))
(.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -3 binary64)))
(.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) #s(literal 3 binary64))
(.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))) #s(literal -3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) x)
(.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal -3 binary64)))
(.f64 (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) (*.f64 x #s(literal -3 binary64)))
(.f64 (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) (/.f64 x #s(literal -1/3 binary64)))
(.f64 #s(literal -3 binary64) (neg.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))))
(.f64 (neg.f64 x) (/.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(.f64 (neg.f64 x) (.f64 #s(approx (+ (* x 3) 2) #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 3 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (+ (* x 3) 2) #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))) #s(literal -3 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))
(.f64 x (neg.f64 (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))))
(.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)) x)
(.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)) (neg.f64 (neg.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x #s(approx (+ (* x 3) 2) #s(literal 2 binary64)))))
(.f64 (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64))))
(.f64 (neg.f64 (neg.f64 #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))) x)
(.f64 (neg.f64 (neg.f64 x)) #s(approx (+ ( x 3) 2) #s(literal 2 binary64)))
#s(approx (+ (* x 3) 2) #s(literal 2 binary64))
(+.f64 (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (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))) (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 (.f64 x (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 #s(literal -54 binary64) #s(literal 36 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (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 #s(literal -54 binary64) #s(literal 36 binary64))) (.f64 (/.f64 (.f64 x (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))) (.f64 x (.f64 x #s(literal 81 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal -9 binary64))) (.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (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)))) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (/.f64 (.f64 x (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)))))
(+.f64 (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (/.f64 (.f64 x (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)))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (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)))))
(+.f64 (.f64 (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 1 binary64))) (.f64 #s(literal 6 binary64) (*.f64 x #s(literal 1 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 #s(literal 0 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))))
(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 (.f64 x #s(literal -9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 6 binary64) (.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (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))) (.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (/.f64 (.f64 x (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 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (/.f64 (.f64 x (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))) (.f64 (.f64 x (.f64 x #s(literal 81 binary64))) (/.f64 (.f64 x (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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x #s(literal -36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (*.f64 x #s(literal 81 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 81 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64))))
(fma.f64 (.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal 81 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 #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (/.f64 (.f64 x (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))) (.f64 x (.f64 x #s(literal 81 binary64))) (.f64 (/.f64 (.f64 x (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 #s(literal -54 binary64) #s(literal 36 binary64))))
(fma.f64 (/.f64 (.f64 x (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 #s(literal -54 binary64) #s(literal 36 binary64)) (.f64 (/.f64 (.f64 x (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))) (.f64 x (*.f64 x #s(literal 81 binary64)))))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal -9 binary64)) (.f64 (.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)))
(neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #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 (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
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(/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64)) #s(literal -101559956668416 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal 2176782336 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -24794911296 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 46656 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 8503056 binary64) #s(literal 1679616 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) #s(literal -1679616 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))))) (neg.f64 (+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (fma.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (.f64 (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))) (.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))) (fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64)) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64)) #s(literal -101559956668416 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal 2176782336 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -24794911296 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 46656 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 8503056 binary64) #s(literal 1679616 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64) #s(literal -1679616 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)))
(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 (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -36 binary64) (.f64 (.f64 x x) #s(literal -81 binary64))) (-.f64 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal 36 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)))
(.f64 (-.f64 #s(literal 1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (.f64 (*.f64 x x) #s(literal -81 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64))) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 282429536481 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 43046721 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (.f64 (.f64 x x) #s(literal -2916 binary64))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (.f64 (.f64 x x) #s(literal -2916 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 531441 binary64) #s(literal 46656 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (*.f64 x #s(literal -2916 binary64)) #s(literal 1296 binary64))))
(*.f64 x #s(literal 81 binary64))
(*.f64 #s(literal 81 binary64) x)
(.f64 #s(literal -9 binary64) (.f64 x #s(literal -9 binary64)))
(.f64 (.f64 x #s(literal -9 binary64)) #s(literal -9 binary64))

eval55.0ms (0.8%)

Memory: 9.4MiB live, 123.5MiB allocated
Compiler: Compiled 9 865 to 995 computations (89.9% saved)

prune54.0ms (0.7%)

Memory

35.7MiB live, 142.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	432	1	433
Fresh	0	0	0
Picked	1	1	2
Done	1	6	7
Total	434	8	442

Accuracy

100.0%

Counts

442 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	46.0%	(/.f64 (.f64 x #s(approx (+ ( x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
✓	46.8%	(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	55.2%	(.f64 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
✓	55.3%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	46.9%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	55.3%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 235 to 105 computations (55.3% saved)

regimes43.0ms (0.6%)

Memory

-21.3MiB live, 37.5MiB 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 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 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 3 binary64) #s(approx (/ 1 (* x (+ (* 3 x) 2))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x #s(approx (+ ( x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (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)))
(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 (.f64 x x) #s(literal 81 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))))
(fma.f64 (/.f64 (.f64 x #s(literal 36 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (/.f64 x x) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (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:

36.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	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)

regimes9.0ms (0.1%)

Memory

-25.0MiB live, 12.9MiB allocated

Counts

7 → 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 (.f64 x #s(literal -3 binary64)) #s(approx (+ (* 3 x) -2) (*.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 x #s(approx (+ ( x 3) 2) #s(literal 2 binary64))) #s(literal 1/3 binary64))

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

Calls

2 calls:

6.0ms	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

9.0MiB live, 9.0MiB 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
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) 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
97.2%	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)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 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)))

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

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.1%	2	`(.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)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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
46.9%	1	`x`
46.9%	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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-106.19509485580262	-8.189897693298103e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-106.19509485580262	-8.189897693298103e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-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	29	99
1	42	99
2	54	99
3	60	99
4	64	99
5	65	99

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 -100 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #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 -100 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 -100 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) 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 -100 binary64)) (.f64 x #s(approx (* 3 (- 2 (* x 3))) (.f64 x #s(literal -9 binary64)))) (.f64 x #s(approx (* 3 (- 2 (* x 3))) #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 -100 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 -100 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)))

soundness559.0ms (7.8%)

Memory

-25.5MiB live, 332.7MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 121 to 61 computations (49.6% saved)

preprocess108.0ms (1.5%)

Memory: 10.1MiB live, 89.8MiB allocated
Compiler: Compiled 166 to 70 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample786.0ms (10.9%)

preprocess79.0ms (1.1%)

explain301.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.9%)

localize52.0ms (0.7%)

series3.0ms (0%)

simplify501.0ms (7%)

rewrite495.0ms (6.9%)

eval120.0ms (1.7%)

prune138.0ms (1.9%)

simplify122.0ms (1.7%)

localize93.0ms (1.3%)

series8.0ms (0.1%)

simplify357.0ms (5%)

rewrite526.0ms (7.3%)

eval223.0ms (3.1%)

prune163.0ms (2.3%)

simplify111.0ms (1.5%)

localize153.0ms (2.1%)

series4.0ms (0.1%)

simplify381.0ms (5.3%)

rewrite450.0ms (6.2%)

eval99.0ms (1.4%)

prune101.0ms (1.4%)

simplify11.0ms (0.1%)

localize127.0ms (1.8%)

series6.0ms (0.1%)

simplify323.0ms (4.5%)

rewrite557.0ms (7.7%)

eval55.0ms (0.8%)

prune54.0ms (0.7%)

regimes43.0ms (0.6%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness559.0ms (7.8%)

preprocess108.0ms (1.5%)

end0.0ms (0%)

Profiling