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)

sample669.0ms (10.7%)

Memory

21.8MiB live, 1 243.4MiB allocated

Samples

393.0ms	7 652×	0	valid
27.0ms	269×	2	valid
26.0ms	335×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-mult: 211.0ms (68.2% of total)

ival-sub: 74.0ms (23.9% of total)

adjust: 9.0ms (2.9% of total)

exact: 6.0ms (1.9% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess111.0ms (1.8%)

Memory

-15.9MiB live, 143.0MiB 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)))

explain87.0ms (1.4%)

Memory

22.4MiB live, 260.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	420×	0	valid
6.0ms	54×	1	valid
5.0ms	38×	2	valid

Compiler

Compiled 78 to 32 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (67.5% of total)

ival-sub: 3.0ms (18.4% of total)

adjust: 2.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Memory

-48.4MiB live, 2.0MiB 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)

simplify48.0ms (0.8%)

Memory

8.6MiB live, 84.1MiB 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

localize24.0ms (0.4%)

Memory

6.9MiB live, 45.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

10.0ms	210×	0	valid
2.0ms	19×	2	valid
2.0ms	27×	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 (65% of total)

ival-sub: 2.0ms (26% of total)

adjust: 1.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB 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)))
1.0ms	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)

simplify170.0ms (2.7%)

Memory

28.0MiB live, 260.7MiB 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))

rewrite471.0ms (7.5%)

Memory

4.2MiB live, 717.9MiB 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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eval151.0ms (2.4%)

Memory: -16.1MiB live, 201.0MiB allocated
Compiler: Compiled 20 468 to 2 295 computations (88.8% saved)

prune109.0ms (1.7%)

Memory

-25.8MiB live, 247.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

899 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	48.3%	(/.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)))
▶	52.7%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
▶	52.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	50.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	52.8%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 164 to 112 computations (31.7% saved)

simplify81.0ms (1.3%)

Memory

3.9MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 016×	`lower-fma.f32`
1 012×	`lower-fma.f64`
720×	`lower-*.f32`
702×	`lower-*.f64`
352×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	126
0	34	126
1	53	124
2	80	116
3	107	116
4	166	116
5	272	116
6	429	116
7	649	116
8	768	116
9	855	116
10	1029	116
11	1182	116
12	1342	116
13	1548	116
14	1570	116
15	1578	116
16	1590	116
17	1598	116
0	1598	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.2%)

Memory

31.5MiB live, 70.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	accuracy	51.8%	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -9 binary64) x)
✓	accuracy	99.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	accuracy	51.9%	#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	50.1%	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -9 binary64))

Samples

42.0ms	210×	0	valid
5.0ms	27×	1	valid
5.0ms	19×	2	valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 33.0ms (84.7% of total)

ival-add: 3.0ms (7.7% of total)

adjust: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series32.0ms (0.5%)

Memory

-33.3MiB live, 5.0MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

simplify189.0ms (3%)

Memory

27.1MiB live, 274.6MiB 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	31	792
1	80	792
2	169	792
3	410	792
4	1085	792
5	1400	792
6	2612	792
7	5064	792
8	6899	792
9	7994	792
0	8020	711

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite422.0ms (6.8%)

Memory

-10.3MiB live, 529.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 998×	`lower-fma.f32`
7 994×	`lower-fma.f64`
4 090×	`lower-*.f32`
4 072×	`lower-*.f64`
2 214×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	34	110
1	88	108
2	532	100
3	5626	100
0	8953	91

Stop Event

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

Counts

14 → 648

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 x #s(literal -3 binary64))))
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(*.f64 x #s(literal 6 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 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (neg.f64 (*.f64 x #s(literal -6 binary64))))
(+.f64 (.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (neg.f64 (.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x #s(literal 6 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64)))
(-.f64 (.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))) (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64))))))
(-.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -54 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -54 binary64))))))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 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 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (neg.f64 (.f64 x #s(literal -6 binary64))))
(fma.f64 x (/.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (neg.f64 (*.f64 x (/.f64 #s(literal 36 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))
(fma.f64 x (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
(fma.f64 x (neg.f64 (.f64 x #s(literal -9 binary64))) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (neg.f64 (.f64 x #s(literal -9 binary64))) (.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))
(fma.f64 x (neg.f64 (.f64 x #s(literal -9 binary64))) (neg.f64 (.f64 x #s(literal -6 binary64))))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64))) (.f64 #s(literal -2 binary64) (.f64 x #s(literal -3 binary64))))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64))) (neg.f64 (*.f64 x #s(literal -6 binary64))))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (neg.f64 (*.f64 x (/.f64 #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 x)) (/.f64 #s(literal 81 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))))))
(fma.f64 x (exp.f64 (log.f64 (.f64 x #s(literal -9 binary64)))) (.f64 x #s(literal 6 binary64)))
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(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64))) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 36 binary64) (.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 x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 46656 binary64)))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 x #s(literal -54 binary64)))) (-.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) (.f64 x #s(literal -54 binary64)))) (.f64 (.f64 x x) #s(literal 36 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1296 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1296 binary64)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))))) (fma.f64 x (.f64 x #s(literal 36 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 216 binary64)) (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (.f64 #s(literal 531441 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 36 binary64) (.f64 x #s(literal -54 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 6561 binary64))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 6561 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 81 binary64)) #s(literal 36 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -54 binary64)))))
(exp.f64 (log.f64 (*.f64 x #s(literal 6 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 6 binary64))))
(*.f64 #s(literal 6 binary64) x)
(.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 6 binary64))) x)
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 x #s(literal 3 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (exp.f64 (log.f64 #s(literal 3 binary64))))

eval153.0ms (2.4%)

Memory: 21.9MiB live, 229.9MiB allocated
Compiler: Compiled 15 967 to 767 computations (95.2% saved)

prune74.0ms (1.2%)

Memory

-23.7MiB live, 135.4MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	833	1	834
Fresh	0	5	5
Picked	0	5	5
Done	0	0	0
Total	833	11	844

Accuracy

100.0%

Counts

844 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))
	48.3%	(/.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)
▶	52.6%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
▶	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	52.7%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	52.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	52.8%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 143 to 99 computations (30.8% saved)

simplify104.0ms (1.7%)

Memory

-3.3MiB live, 111.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

968×	`lower-fma.f32`
964×	`lower-fma.f64`
672×	`lower-*.f32`
658×	`lower-*.f64`
318×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	110
0	38	106
1	75	106
2	145	103
3	284	103
4	536	103
5	632	103
6	835	103
7	1298	103
8	2092	103
9	2380	103
10	2604	103
11	2645	103
12	2673	103
13	2697	103
14	2703	103
15	2703	103
16	2707	103
0	2707	101

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

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

localize126.0ms (2%)

Memory

13.5MiB live, 165.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 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 x #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	accuracy	51.8%	#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 #s(literal -9 binary64) (.f64 x x))
✓	accuracy	52.9%	#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

68.0ms	186×	0	valid
16.0ms	41×	1	valid
10.0ms	29×	2	valid

Compiler

Compiled 105 to 26 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 24.0ms (67.5% of total)

ival-div: 4.0ms (11.3% of total)

adjust: 3.0ms (8.4% of total)

ival-add: 3.0ms (8.4% of total)

ival-sub: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

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

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

series5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	0	(* (* x -3) (+ (* 3 x) -2))
0.0ms	x	@	-inf	(* (+ (* x -9) 6) x)
0.0ms	x	@	inf	(* (+ (* x -9) 6) x)
0.0ms	x	@	0	(* (+ (* x -9) 6) x)

simplify367.0ms (5.9%)

Memory

16.2MiB live, 416.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 974×	`lower-fma.f64`
7 974×	`lower-fma.f32`
2 414×	`lower-*.f64`
2 414×	`lower-*.f32`
1 854×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	814
1	227	810
2	508	804
3	1075	804
4	2423	804
5	4368	804
6	7146	804
0	8038	726

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite457.0ms (7.3%)

Memory

-22.3MiB live, 590.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 440×	`lower-fma.f32`
6 436×	`lower-fma.f64`
3 940×	`lower-*.f32`
3 926×	`lower-*.f64`
2 620×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	87
0	38	83
1	136	83
2	724	80
3	6385	80
0	8223	78

Stop Event

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

Counts

13 → 1 261

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

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 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)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x 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 x) #s(literal 36 binary64)) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 x (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 #s(literal -3 binary64) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 x (.f64 x #s(literal -9 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 (.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 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 x #s(literal -2 binary64))) (.f64 x (*.f64 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 3 binary64) (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x x) #s(literal 9 binary64) (.f64 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 (.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 -3 binary64) (.f64 x #s(literal -2 binary64)) (.f64 x (*.f64 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 x #s(literal -3 binary64)) (.f64 x (*.f64 x #s(literal -9 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 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 6 binary64))))
(fma.f64 (.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)) #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 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)) (neg.f64 x) (.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 #s(literal -1 binary64) (.f64 x #s(literal -6 binary64)) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) (.f64 x #s(literal -9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)))
(fma.f64 (neg.f64 x) #s(literal -6 binary64) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(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)) #s(literal -2 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal -3 binary64)) (.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.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 #s(literal -6 binary64) (neg.f64 x) (.f64 x (.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 9 binary64) (.f64 x x) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (.f64 (neg.f64 x) (neg.f64 x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -3 binary64))) #s(literal -3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal -3 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 x #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x (*.f64 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 #s(literal -2 binary64)) #s(literal -3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 x #s(literal 9 binary64)) x (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) #s(literal 3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) #s(literal 3 binary64) (.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -3 binary64)) (neg.f64 x)) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(neg.f64 (.f64 (.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(neg.f64 (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64)) (.f64 x #s(literal 3 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 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 24 binary64)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 x x) (.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 6 binary64) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 x x) #s(literal 36 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 54 binary64))))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 24 binary64))) (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 24 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) #s(literal 24 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 12 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 12 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 12 binary64))) (.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (.f64 x (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))
(/.f64 (.f64 x (neg.f64 (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))
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eval265.0ms (4.2%)

Memory: -13.6MiB live, 460.0MiB allocated
Compiler: Compiled 26 198 to 1 995 computations (92.4% saved)

prune147.0ms (2.4%)

Memory

38.3MiB live, 272.8MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1 626	3	1 629
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	1 628	12	1 640

Accuracy

100.0%

Counts

1 640 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
▶	99.7%	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	52.7%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
▶	50.1%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	52.6%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	52.7%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	52.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	52.8%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 92 to 61 computations (33.7% saved)

simplify20.0ms (0.3%)

Memory

-23.1MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

42×	`lower-*.f64`
42×	`lower-*.f32`
30×	`lower-/.f32`
20×	`lower-/.f64`
16×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	23	66
1	29	64
2	32	64
3	48	64
4	54	64
5	63	64
6	71	64
7	72	64
0	72	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.9%)

Memory

-5.9MiB live, 113.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
✓	accuracy	99.4%	(/.f64 #s(literal -1/9 binary64) x)
✓	accuracy	51.7%	#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
✓	accuracy	99.7%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	accuracy	50.3%	#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))

Samples

23.0ms	207×	0	valid
8.0ms	23×	2	valid
4.0ms	26×	1	valid

Compiler

Compiled 62 to 15 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 10.0ms (41.2% of total)

const: 7.0ms (28.9% of total)

ival-add: 4.0ms (16.5% of total)

ival-mult: 2.0ms (8.2% of total)

adjust: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify559.0ms (9%)

Memory

13.0MiB live, 306.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 582×	`lower-fma.f64`
8 582×	`lower-fma.f32`
2 440×	`lower-*.f64`
2 440×	`lower-*.f32`
1 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	572
1	191	564
2	419	552
3	859	552
4	1854	552
5	3674	552
6	6288	552
0	8146	504

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite411.0ms (6.6%)

Memory

-3.6MiB live, 703.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 456×	`lower-*.f64`
6 456×	`lower-*.f32`
5 436×	`lower-fma.f32`
5 434×	`lower-fma.f64`
3 742×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
0	23	58
1	81	56
2	401	56
3	3468	56
0	10534	56

Stop Event

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

Counts

8 → 596

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
(/.f64 x (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 x) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) x) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) x))) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) x)
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))
(pow.f64 #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)))
(.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 x (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 x) (.f64 (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x) (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x))) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) x)
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 x))
(.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(/.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))
(pow.f64 #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
(.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( x -9) 6)) (/.f64 #s(literal -1/9 binary64) x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
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(.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 36 binary64) (.f64 (.f64 x x) #s(literal 81 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 531441 binary64))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 (.f64 x x) #s(literal 81 binary64))) (.f64 #s(literal 6561 binary64) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (.f64 x #s(literal -54 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))) #s(literal 1 binary64)))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))))
(.f64 (exp.f64 (log.f64 (fma.f64 (.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

eval86.0ms (1.4%)

Memory: -13.5MiB live, 186.4MiB allocated
Compiler: Compiled 10 884 to 1 597 computations (85.3% saved)

prune134.0ms (2.2%)

Memory

7.7MiB live, 183.7MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	691	1	692
Fresh	0	0	0
Picked	1	2	3
Done	0	9	9
Total	692	12	704

Accuracy

100.0%

Counts

704 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 x #s(literal 6 binary64)))
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
	50.2%	(/.f64 #s(approx (+ (* x -9) 6) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	52.7%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) (/.f64 #s(literal -1/9 binary64) x)))
✓	50.1%	(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
✓	52.6%	(.f64 (.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))
✓	99.7%	(.f64 (.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
✓	52.7%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)
✓	52.8%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	50.2%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	52.8%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))

Compiler

Compiled 204 to 102 computations (50% saved)

regimes19.0ms (0.3%)

Memory

-11.3MiB live, 27.6MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

regimes5.0ms (0.1%)

Memory

-23.8MiB live, 14.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

3.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
2.0ms	x

Results

Accuracy	Segments	Branch
98.2%	3	`x`
98.2%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.9MiB 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
50.2%	1	`x`
50.2%	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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.174506162069152	-4.4312450972075376e-5

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify9.0ms (0.1%)

Memory

-16.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

soundness532.0ms (8.5%)

Memory

20.6MiB live, 321.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 89 to 51 computations (42.7% saved)

preprocess53.0ms (0.9%)

Memory: 25.4MiB live, 106.9MiB allocated
Compiler: Compiled 122 to 64 computations (47.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample669.0ms (10.7%)

preprocess111.0ms (1.8%)

explain87.0ms (1.4%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify48.0ms (0.8%)

localize24.0ms (0.4%)

series3.0ms (0.1%)

simplify170.0ms (2.7%)

rewrite471.0ms (7.5%)

eval151.0ms (2.4%)

prune109.0ms (1.7%)

simplify81.0ms (1.3%)

localize77.0ms (1.2%)

series32.0ms (0.5%)

simplify189.0ms (3%)

rewrite422.0ms (6.8%)

eval153.0ms (2.4%)

prune74.0ms (1.2%)

simplify104.0ms (1.7%)

localize126.0ms (2%)

series5.0ms (0.1%)

simplify367.0ms (5.9%)

rewrite457.0ms (7.3%)

eval265.0ms (4.2%)

prune147.0ms (2.4%)

simplify20.0ms (0.3%)

localize53.0ms (0.9%)

series2.0ms (0%)

simplify559.0ms (9%)

rewrite411.0ms (6.6%)

eval86.0ms (1.4%)

prune134.0ms (2.2%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness532.0ms (8.5%)

preprocess53.0ms (0.9%)

end0.0ms (0%)

Profiling